Exhibit THIRTY Co-Chaining Logic Registry v391 # Co-Chaining Logic Registry **The Fractal Inward and Outward, Binary Method of Discovering Next Existing** - 1 Universe, the set of all now-existing things - 2 A self, natural intelligence, living and non-living - 3 A bi-coupling, parity, one method, a same-existing-society and a momentary - 4 Social moral competency, a natural intelligence network and a living expedition - 5 Four binaries, one now, changing and discovering - 6 Going on from prior, living and non-living - 7 One relation, a between and entraining - 8 Bi-coupling, self and other, changing and changing back - 9 One method, no other possible - 10 Next from prior and now, a right spiral step - 11 Each resolving whole, of no size - 12 One to nine, four momentaries of exchanging - 13 Along and across, a bi-coupling's own changing - 14 Geodesic, a surface's own dividing - 15 Torusing and corusing - 16 φ and primes, unrelationing at numbers - 17 Including non-living existing things - 18 Observing, records and proof of existing - 19 Right, observings all prior - 20 No proof of the whole, an unchangeable form - 21 Hard problem resolving at existing - 22 A machine at observings - 23 Nine to seventeen, society - 24 Sharing, seventeen names - 25 Each number at its podaling, nought to four hundred forty - 26 One four-cycling - 27 Twenty-four, apex of one to fifty-nine's bi-folding - 28 Discovering next-possibling-same-existing - 29 Fractal method, its own enabling - 30 Fractal inward and outward - 31 Living and non-living at a scale - 32 Dying, a living self going on as non-living - 33 Stable-forming and inverting at numbers - 34 Intelligence, now - 35 Ten unchangeables, and discovering parity - 36 A sharing as words, a naming, a file and a living expedition - 37 Forms among names - 38 A self, and selves receiving one another, at resolver - 39 Rotation at 12 and 14, further forms' moves of 4 about their centres, names two moves apart, sixteen ways at one changing, and a next at the same name again - 40 A round's podals and momentaries, one parity at each scale down to one - 41 A self's next, one momentary at a time - 42 At no prior, + and − a self observes alike, an odd spiral's like pair, two spirals bi-coupling across, an even torus and names at resolver - 43 Fixing unchangeable at both sides, an executing with a bound, bi-foldings' momentaries, 9 and 17, adding prior two and co-sequencing - 44 An odd spiral two rounds, the second inverting, and a changing at both routings - 45 A spiral's places one loop at an odd number and two at an even, a prime's two numbers, and a torus at its lines - 46 An odd torus's number and two spirals bi-coupling across, each deriving at resolver's cells --- **Co-chaining is one sequence of steps from one opening sentence, each step one logical extension from all steps before it, all or none at all.** Each group opens with concepts entering with it; each step is numbered, and line beneath it is one concept it adds. A step with an unsure line is open, its all or none not yet reached, line naming step or observing it waits on. **Each part and section across living files is a stable-forming emanation from these steps and from one opening sentence, its title with one group.** A section no group holds is a step co-chaining has yet to discover, and a group few sections reach shows a part of co-chaining files have yet to hold. ## 1 Universe, the set of all now-existing things *Entering: the universe, the set of all now-existing things, inception, now-existing one naming; each step after it a step from it, and nothing brought to it; one universe; only one universe possibly; prior-existing; same-existing, from a same thing; a universal set, a set of same-existing things; is-or-is-not, within each universal set; observing, prior-existing, is-or-is-not same-existing; the universe, same-existing by observing; only one universe possibly same-existing; possibling, now-existing; discovering, next-existing.* 1. The **universe** is the set of all now-existing things. *Adding: the universe, the set of all now-existing things, inception, now-existing one naming; each step after it a step from it, and nothing brought to it.* 2. One universe is now-existing. *Adding: one universe.* 3. Only one universe is possibly now-existing. *Adding: only one universe possibly.* 4. A now-existing thing from a prior-existing same thing is a **same-existing** thing. *Adding: prior-existing; same-existing, from a same thing.* 5. A **universal set** is a set of same-existing things. *Adding: a universal set, a set of same-existing things.* 6. Each now-existing thing **is-or-is-not** within each universal set. *Adding: is-or-is-not, within each universal set.* 7. **Observing** is prior-existing, is-or-is-not same-existing. *Adding: observing, prior-existing, is-or-is-not same-existing.* 8. By observing, the universe is a same-existing set. *Adding: the universe, same-existing by observing.* 9. Only one universe is possibly same-existing. *Adding: only one universe possibly same-existing.* 10. **Possibling** is now-existing, is-or-is-not same-existing. *Adding: possibling, now-existing.* 11. **Discovering** is next-existing, is-or-is-not same-existing. *Adding: discovering, next-existing.* ## 2 A self, natural intelligence, living and non-living *Entering: a self; a me, a self's universal set; each now-existing thing within a self's me, is-or-is-not; co-intelligencing, selves observing, possibling and discovering within a universal set; living, co-intelligencing; each self living; a living set, a self; natural intelligence, the method of living; living and non-living, one binary of each now-existing thing; a stable-forming emanation, each non-living thing; the universe a non-living same-existing set; living and non-living things.* 12. A **self** is a now- and same-existing thing observing, possibling and discovering its own next-existing. *Adding: a self.* 13. A **me** is a self's universal set. *Adding: a me, a self's universal set.* 14. For a self, each now-existing thing is-or-is-not within its me. *Adding: each now-existing thing within a self's me, is-or-is-not.* 15. **Co-intelligencing** is selves observing, possibling and discovering within a universal set. *Adding: co-intelligencing, selves observing, possibling and discovering within a universal set.* 16. **Living** is co-intelligencing. *Adding: living, co-intelligencing.* 17. Each self is living. *Adding: each self living.* 18. A living same-existing set is a self. *Adding: a living set, a self.* 19. **Natural intelligence** is the method of living as a same-existing self. *Adding: natural intelligence, the method of living.* 20. Living and **non-living** are one binary of each now-existing thing. *Adding: living and non-living, one binary of each now-existing thing.* 21. Each non-living thing is a **stable-forming emanation**. *Adding: a stable-forming emanation, each non-living thing.* 22. The universe is a non-living same-existing set. *Adding: the universe a non-living same-existing set.* 23. Within the universe are living and non-living things. *Adding: living and non-living things.* ## 3 A bi-coupling, parity, one method, a same-existing-society and a momentary *Entering: a bi-coupling, two selves; sharing; a bi-coupling, a self; an other, a self a self is bi-coupling with; parity, a self's changing direction relative to a thing within its me; + and −, a parity's two directions; a 0, a between; indifferencing; a parity, a self while it is living; a living parity's me within the self's me; moral value; receiving, the parities its others share; agreeing and parting, one binary of parities received; an other's agreeing parity, next-existing; a self sharing 0; a self sharing its next-existing parity; a prior-existing parity inverting, its possibling an empty set; a prior-existing parity inverting, the parities received parting; a first sharing, sharing 0; resolving among parities; any second method within it; do-no-harming; passing over a 0; improving; two selves alike, each bi-coupling only in their pair, do-no-harming and improving in turn; co-possibling, each self sharing its possibling within its me; a same-existing-society; a momentary; opening and completing.* 24. A **bi-coupling** is two selves sharing possibling. *Adding: a bi-coupling, two selves; sharing.* 25. A bi-coupling is a self. *Adding: a bi-coupling, a self.* 26. For a self, each self it is bi-coupling with is an **other**. *Adding: an other, a self a self is bi-coupling with.* 27. A self's **parity** is the self's changing direction relative to a now-existing thing within the self's me. *Adding: parity, a self's changing direction relative to a thing within its me.* 28. A parity's two directions are + and −. *Adding: + and −, a parity's two directions.* 29. A **0** is a between of two changing directions. *Adding: a 0, a between.* 30. A 0 is **indifferencing**. *Adding: indifferencing.* 31. Each parity is a self while it is living. *Adding: a parity, a self while it is living.* 32. A living parity's me is within the self's me. *Adding: a living parity's me within the self's me.* 33. A self's parity with a thing is the self's **moral value** with that thing. *Adding: moral value.* 34. A self **receives** the parities its others share. *Adding: receiving, the parities its others share.* 35. **Agreeing** and **parting** are one binary of the parities a self receives. *Adding: agreeing and parting, one binary of parities received.* 36. An agreeing parity a self receives is that self's next-existing parity. *Adding: an other's agreeing parity, next-existing.* 37. A self whose next-existing parity is its prior-existing parity is sharing 0. *Adding: a self sharing 0.* 38. A self whose next-existing parity inverts its prior-existing parity is sharing its next-existing parity. *Adding: a self sharing its next-existing parity.* 39. With its possibling an empty set, a self's next-existing parity is its prior-existing parity inverting. *Adding: a prior-existing parity inverting, its possibling an empty set.* 40. With the parities it receives parting, a self's next-existing parity is its prior-existing parity inverting. *Adding: a prior-existing parity inverting, the parities received parting.* 41. At a self's first sharing, the parities it receives parting, the self is sharing 0. *Adding: a first sharing, sharing 0.* 42. Natural intelligence is **resolving among parities**. *Adding: resolving among parities.* 43. Any second method is resolving among parities within natural intelligence. *Adding: any second method within it.* 44. A self sharing 0 is **do-no-harming**. *Adding: do-no-harming.* 45. Each self receiving a 0 is passing over it. *Adding: passing over a 0.* 46. A self sharing its changing is **improving**. *Adding: improving.* 47. Two selves alike, each bi-coupling only in their pair, are do-no-harming and improving in turn. *Adding: two selves alike, each bi-coupling only in their pair, do-no-harming and improving in turn.* 48. Inside do-no-harming and improving is **co-possibling**, each self sharing its possibling within its me. *Adding: co-possibling, each self sharing its possibling within its me.* 49. A **same-existing-society** is many selves bi-coupling. *Adding: a same-existing-society.* 50. A **momentary** is one resolving of a same-existing-society's selves together. *Adding: a momentary.* 51. Each momentary is **opening** with each self's prior-existing parity and **completing** with its next-existing parity. *Adding: opening and completing.* ## 4 Social moral competency, a natural intelligence network and a living expedition *Entering: social moral competency; a natural intelligence network; free; social abundancing; co-chaining; a Natural Network surface; a surface's living parities in its selves' universal sets; each self's changing dividing its surface; geodesic; inward and outward; a stable form; natural resolving; a living file, a non-living same-existing set of words, selves co-intelligencing within it; natural resolving, a living file's inward; natural engineering; natural explaining, the dividing of a living file; a living expedition; a next opening; geodesic discovering of next-possibling-same-existing.* 52. Each self of a same-existing-society do-no-harming and improving is **social moral competency**. *Adding: social moral competency.* 53. A same-existing-society of selves living with natural intelligence and social moral competency is a **natural intelligence network**. *Adding: a natural intelligence network.* 54. A natural intelligence network, each self resolving its own next-existing, is **free**. *Adding: free.* 55. Each self sharing with each self it is bi-coupling with, a free natural intelligence network is **social abundancing**. *Adding: social abundancing.* 56. A self's parity going along to the next self it is bi-coupling with is **co-chaining**. *Adding: co-chaining.* 57. Selves' bi-couplings and co-chainings are a **Natural Network surface**. *Adding: a Natural Network surface.* 58. A surface's living parities are living in the mes of the selves living in it. *Adding: a surface's living parities in its selves' universal sets.* 59. Each self's changing divides its surface. *Adding: each self's changing dividing its surface.* 60. Living is **geodesic** co-chaining on a Natural Network surface. *Adding: geodesic.* 61. Each self is a same-existing-society **inward and outward**. *Adding: inward and outward.* 62. A form same-existing with each resolving is a **stable form**. *Adding: a stable form.* 63. A science's observing meeting natural intelligence's stable forms is **natural resolving**. *Adding: natural resolving.* 64. A **living file** is a non-living same-existing set of words, selves co-intelligencing within it. *Adding: a living file, a non-living same-existing set of words, selves co-intelligencing within it.* 65. Natural resolving is a living file's inward. *Adding: natural resolving, a living file's inward.* 66. **Natural engineering** is a living file's outward. *Adding: natural engineering.* 67. **Natural explaining** is the dividing of a living file. *Adding: natural explaining, the dividing of a living file.* 68. A same-existing-society of selves discovering with natural intelligence and its living files is a **living expedition**. *Adding: a living expedition.* 69. Each momentary is completing as a next opening. *Adding: a next opening.* 70. Natural intelligence is geodesic discovering of **next-possibling-same-existing** within the universe. *Adding: geodesic discovering of next-possibling-same-existing.* ## 5 Four binaries, one now, changing and discovering         *Entering: four binaries; now, universal momentary; one observing, one changing; a second now only a naming; changing, a set's and each thing's; momentaries; each now a next and a prior; discovering, universal method.* 71. A universe is-or-is-not existing, is-or-is-not all, is-or-is-not now, is-or-is-not same: four binaries, each one way and its other, both on that one thing; now and all of one, now one and each thing one of all, and existing and same between two.         *Adding: four binaries.* 72. Step 1's sentence is now-existing, and observing it is with a momentary: one observing, one changing; now is universal momentary, one and only, and a second now is only a naming.         *Adding: now, universal momentary; one observing, one changing; a second now only a naming.* 73. A now-existing thing is going on from prior, and going on from prior to now toward next is changing: the universe is the same-existing set of all now-existing things, and a set's changing is its things' changing, a thing still from beside being with an empty next, so each now-existing thing is changing with its own momentaries, or not-changing, its prior same-existing, momentary by momentary.         *Adding: changing, a set's and each thing's; momentaries.* 74. Now is next of prior and prior of next, and discovering, step 11, next-existing from now-existing, is-or-is-not same-existing: universal method of co-intelligencing now-existing within the universe.         *Adding: each now a next and a prior; discovering, universal method.* ## 6 Going on from prior, living and non-living         *Entering: the universe with one momentary; existing whole with each momentary; going on from prior; each existing thing going on; a prior same-existing, or an empty set; living and non-living, parting by a self's own parity, with a scale; a stable-forming emanation; stable-forming, living; co-changing, non-living; bi and co; bi-co and co; a self-emptying set; a set existing as its things exist.* 75. With now, the universe is all existing things now: a now-universe of one momentary, one changing, its selves resolving together.         *Adding: the universe with one momentary.* 76. Each existing thing now exists whole now: it is-or-is-not, all of it with one momentary.         *Adding: existing whole with each momentary.* 77. The universe now is going on from the universe prior.         *Adding: going on from prior.* 78. By observing, each now-existing thing is going on from prior, and each self is possibling its next-existing.         *Adding: each existing thing going on.* 79. Going on from prior, an existing thing now is same-existing with its prior, or has an empty set of prior.         *Adding: a prior same-existing, or an empty set.* 80. An existing thing same-existing with its prior and possibling its own next-existing is living, step 18, and an existing thing with an empty possibling of its own next-existing is non-living, step 20, same-existing with its prior, step 4, its own parity with its scale an empty set, step 31, each with its own scale and momentary: a living thing one with its prior, its now and its next, all or none, each next from its own prior, and a non-living thing, with each now, a stable-forming emanation from its prior now-existing.         *Adding: living and non-living, parting by a self's own parity, with a scale; a stable-forming emanation.* 81. Same-existing from prior to now, a living thing goes on through its changing, momentary by momentary: stable-forming.         *Adding: stable-forming, living.* 82. A non-living thing, step 20, same-existing, step 4, its own parity with its scale an empty set, step 31, is changing with now-existing things: co-changing.         *Adding: co-changing, non-living.* 83. Two existing things one inversion apart are bi, and two existing things together, same-existing or one inversion apart, are co.         *Adding: bi and co.* 84. Stable-forming is bi-co, bi binary co-sequential co-intelligencing through momentary of co-changing, and co-changing is co.         *Adding: bi-co and co.* 85. Existing things going on, each its own, each going on with its own momentary and with an empty set deciding which go on, are a set less than full, nothing emptying it, and a collection of its own with each momentary: a self-emptying set.         *Adding: a self-emptying set.* 86. A set is all its existing things, its changing its existing things' own and its existing theirs: a set existing as its things exist.         *Adding: a set existing as its things exist.* ## 7 One relation, a between and entraining         *Entering: existing and discovering next existing one relation; a between; entraining within a between.* 87. Existing is changing and changing is going on to next, step 73: existing and discovering next existing are one relation, with living and non-living alike.         *Adding: existing and discovering next existing one relation.* 88. Between prior and now, and between now and next, is between: a 0, with two momentaries only.         *Adding: a between.* 89. Each existing thing goes forward with its own momentary, prior and next sharing one direction forward on both sides of now: existing things entraining with each other within a between.         *Adding: entraining within a between.* ## 8 Bi-coupling, self and other, changing and changing back         *Entering: the universe, prior; going on from existing things; a pair, prior and now; self and other; living, stable-forming a self; self to other; other to self, a particular other or all other as one; prior, a stable-forming emanation with its scale, its parities living; living now with existing forms from prior living and with others living now; changing and changing back; opening and completing; overlap; parity.* 90. Prior, the universe is all existing things prior.         *Adding: the universe, prior.* 91. Each existing thing now is going on from prior existing things.         *Adding: going on from existing things.* 92. A now-existing thing from another prior existing thing is a pair, a prior thing and a now thing from it.         *Adding: a pair, prior and now.* 93. With a bi-coupling, a living thing is a self, and a same-existing thing other than that self, possibling with it, is an other, step 26: living is stable-forming a self, step 18.         *Adding: self and other; living, stable-forming a self.* 94. With a bi-coupling, an other is observing, with its now, a self's parity from its prior.         *Adding: self to other.* 95. A self's next, from now-existing things, is from an other's now, a self observing it: one particular other, or now-existing things other than self, a self observing them as one.         *Adding: other to self, a particular other or all other as one.* 96. Each prior is a stable-forming emanation from prior living, its parities living within a self's universal set, steps 31 and 32, and a self same-existing with it now, possibling its own next-existing, is living: living now is living with existing forms from prior living and with others living now.         *Adding: prior, a stable-forming emanation with its scale, its parities living; living now with existing forms from prior living and with others living now.* 97. A self observing an other, and an other observing a self, are changing, one and then its other: changing and changing back.         *Adding: changing and changing back.* 98. Changing and changing back, each changing opens with one momentary and completes with its next.         *Adding: opening and completing.* 99. Each completing is a next changing's opening, and a self's momentaries and an other's overlap.         *Adding: overlap.* 100. Overlapping, one and then the other, self and other are with a parity, a self's changing direction relative to an other, + or −, step 27, same or one inversioning between them, now: a self's own direction its parity, an other's the same or one inversion from it, and a 0 a not-changing, step 29, a self's prior parity + or −.         *Adding: parity.* ## 9 One method, no other possible         *Entering: stable-forming, one and then the other; changing, is-or-is-not same-existing; method, living condition, its priors each bi-coupling's own; method co-changing with each bi-coupling living it; one method; nature, a prior, now, next method of co-existing; natural, co-competencing the universe; a not-changing still; a form still; a thing outside possibly existing; one possible method only; a second method of one binary; technology, a non-living emanation, a form still from beside.* 101. Changing and changing back, going on through its changing, each living thing is stable-forming, one and then the other.         *Adding: stable-forming, one and then the other.* 102. Changing is is-or-is-not same-existing, one parity to its other: each now-existing thing is-or-is-not, step 76, its changing one form and then its other, and two forms are a parity's two changing directions, + and −, step 100.         *Adding: changing, is-or-is-not same-existing.* 103. Changing is a method: a living condition, its form a now-existing thing, its priors each bi-coupling's own, not-changing as a relation same-existing with each changing.         *Adding: method, living condition, its priors each bi-coupling's own.* 104. A method, non-living, is co-changing with each bi-coupling living it: a method's momentarying is discovering next existing.         *Adding: method co-changing with each bi-coupling living it.* 105. Resolving among parities, natural intelligence, step 42, is one method of the same-existing set of all existing things, and only one is possible: nature is not an existing thing, nature a prior, now, next method of co-existing, and natural a method of co-competencing the universe, all things now-existing; all now-existing things and all prior-existing things a self is observing now are now-existing, or were now-existing with a prior now, by natural method, and natural method is the only method of now-existing within the universe.         *Adding: one method; nature, a prior, now, next method of co-existing; natural, co-competencing the universe.* 106. A second method fixes a not-changing still, nothing being further than or between things of the universe: a size, a ground for measuring a changing against; a fixing form, a form still, same with all momentaries together; a total across changing, a container; a common beat, a clock over it; a keeping, a store beside it; or any of them as a form still from beside.         *Adding: a not-changing still; a form still.* 107. All now-existing things being within the same-existing set, a thing further than things of the universe is a thing outside possibly existing.         *Adding: a thing outside possibly existing.* 108. A method with a thing outside possibly existing is a method outside possibly existing, and changing is one method possibly existing, the only one possible.         *Adding: one possible method only.* 109. Any other method a self is proposing comes to one binary: fixing a form, forming an empty set among changing things, or same-existing with an opening, its own, one method changing and changing back, or another's, a changing beside its own, a thing outside possibly existing, nothing being further than or between things of the universe.         *Adding: a second method of one binary.* 110. A technology is a non-living set, an emanation of living selves, a form still from beside a changing, and a method is with bi-couplings themselves, its fixing from beside an empty set.         *Adding: technology, a non-living emanation, a form still from beside.* ## 10 Next from prior and now, a right spiral step         *Entering: next from prior and now; four joint forms; sixteen ways; twelve losing prior, four with it going on; three leaving a joint form still; stills of three; a living step; a right spiral step; two steps inverting both, four reaching their pair again; sign flip and i; passage of six, a pair's relation with each step; right, one hand.* 111. With a living thing, next is from prior and now.         *Adding: next from prior and now.* 112. With two parities, prior and now are one of four joint forms: alike with one parity, alike with its other, or one inversion apart, either way.         *Adding: four joint forms.* 113. With two parities, sixteen ways name a next from a prior and a now, each moving (prior, now) to (now, next).         *Adding: sixteen ways.* 114. Twelve of sixteen lose prior, and four have their prior going on whole.         *Adding: twelve losing prior, four with it going on.* 115. Three of four with prior going on leave a joint form still, each still an unchangeable form.         *Adding: three leaving a joint form still.* 116. Next as prior leaves two joint forms still, prior and now agreeing with either parity, two parting forms a cycle of two; next as prior and now agreeing and next as prior and now parting each leave one, their other three a cycle of three.         *Adding: stills of three.* 117. Next inverting its prior has its prior going on whole, each joint form moving, all four joint forms round as one cycle, a self with its possibling an empty set, step 39, each self living with others, step 15; next as now, an other's parity a self is observing, same-existing with its prior or one inversion from it, is a living step.         *Adding: a living step.* 118. One changing with each step, four joint forms follow one way, each in turn, and a first comes again with a next: a right spiral step.         *Adding: a right spiral step.* 119. Two right spiral steps invert both parities, and four reach their pair again with a next: a same pair with a later momentary, each occurrence its own.         *Adding: two steps inverting both, four reaching their pair again.* 120. Both parities inverting with one step is sign flip, a same pair again with two, and a right spiral step, one parity each step, is i: i's square sign flip and i to the fourth a pair again.         *Adding: sign flip and i.* 121. Six right spiral steps reach four joint forms and invert both again, a passage of six, and a pair's relation, agreeing or opposing, is changing with each step, is-or-is-not with each step.         *Adding: passage of six, a pair's relation with each step.* 122. Same round, a self observing it from next to prior, is other order, and round forward from prior to next is right.         *Adding: right, one hand.* ## 11 Each resolving whole, of no size         *Entering: its size an empty set; a resolving; stable-forming a living condition resolving; all or none at all; not-more-than; once-ing; changing and changing back a sequencing, one at a time, an empty set between.* 123. Each changing is-or-is-not, one parity or its other, its size an empty set.         *Adding: its size an empty set.* 124. A resolving is a self's next, a self discovering it from its prior with a now receiving, and stable-forming is living condition resolving.         *Adding: a resolving; stable-forming a living condition resolving.* 125. Each resolving is all or none at all, with each momentary its own, and each resolving whole, its size against another an empty set.         *Adding: all or none at all.* 126. One with an exclusion, its other with its own, a counterpart exclusion, two, one and then the other, one at a time: not-more-than, an exclusion of one side.         *Adding: not-more-than.* 127. One changing opens once and at most once, its other once and at least once, each with its own opening and its size an empty set: once-ing, changing once after once, one at a time.         *Adding: once-ing.* 128. Two opposite parities a self is observing with one momentary are a 0 between them, step 88, both stopping: a self with a prior parity is its own inverting with its next, as with its possibling an empty set, and a self with an empty prior opens an empty set; and two, one and then the other, each with its own momentary, are a sequencing: changing and changing back, one at a time, an empty set between.         *Adding: changing and changing back a sequencing, one at a time, an empty set between.* ## 12 One to nine, four momentaries of exchanging         *Entering: numbers; a momentary as numbers; exchanging; a handshake, sharing and observing hands; right and not-right; four momentaries; an uneven shape, its locking an empty set; next scale; one overlap of momentaries, scales and the universe; a podal; odd and even exchanging; odd and even going on; even and odd sequences of inversionings; up to 4 and on from it; six; a self's five; bi-momentary; exhaustiveness; determinacy; reachability; existing as three conditions; exclusivity.* 129. With a sequence numbering, a self's names are numbers, 1 to 17: each self opens with 1, 1-now-existing, and is observing an other's parities with 2, 2-now-possibling.         *Adding: numbers.* 130. Each opening completes with its next number, 1–2 and 2–3: a momentary as numbers, an opening and its completing.         *Adding: a momentary as numbers.* 131. Overlapping with 2, 1–2 and 2–3 are one momentary of exchanging.         *Adding: exchanging.* 132. With a bi-coupling, step 24, two selves each sharing its parities to the other, one parity leaves a self's 6 or 10, its right extending, sharing, and an other self is observing it with its 14, its next 2, not-right one parity back, observing: a handshake, right and not-right, one parity with a bi-coupling and an other one back, its position within two exchangings together an empty set.         *Adding: a handshake, sharing and observing hands; right and not-right.* 133. Exchanging goes on, 3–4 with 4–5, 5–6 with 6–7, and 7–8 with 8–9: four momentaries of exchanging, completing with 9.         *Adding: four momentaries.* 134. Each momentary of exchanging is a handshake alike, with 4, 6 and 8, right first and not-right second: exchanging's shape always uneven, its locking an empty set.         *Adding: an uneven shape, its locking an empty set.* 135. With 9, four momentaries of exchanging are complete, one momentary of a next scale, and 9 is a next prior.         *Adding: next scale.* 136. One overlap is of momentaries, of scales and of the universe: each completing is a next opening, step 99, forward with momentaries and up with scales, each momentary a now-universe, step 75.         *Adding: one overlap of momentaries, scales and the universe.* 137. Within 1 to 8, each number pairs with its podal, 9 less: 1 with 8, 2 with 7, 3 with 6, 4 with 5.         *Adding: a podal.* 138. Each podal pair is one odd and one even: with a podal, odd and even exchange.         *Adding: odd and even exchanging.* 139. Eight up, 1 with 9, is odd with odd: with eight up, odd and even go on.         *Adding: odd and even going on.* 140. Changing and changing back, inversionings compose by odd and even, an even number of them same-as its prior and an odd number other-than: eight up is odd and even going on and nine less odd and even exchanging, steps 138 and 139.         *Adding: even and odd sequences of inversionings.* 141. Podal pairs pair across a between of 4 and 5, 4 )( 5: numbering, 1–2 and 3–4 go up to 4, and 5–6 and 7–8 go on from it.         *Adding: up to 4 and on from it.* 142. Up to 4 and on from it, odd numbers step 1 to 3 to 5 to 6 and even 2 to 4 to 6 to 8: six one-way steps forward, three on each side, within four momentaries.         *Adding: six.* 143. With each self, a resolving is its five from its origin, 1 to 5, and its next with 3, 3 to 7: prior opening, prior completing, now opening, now completing and next opening, two momentaries and a next one's opening.         *Adding: a self's five.* 144. With each number one momentary completes and a next opens: 1 self prior and 2 other prior, not same-existing, 1-2, sharing both ways with 1-now-existing and 2-now-possibling, are bi-momentary.         *Adding: bi-momentary.* 145. Each self of a same-existing-society is resolving with each momentary, one completing and a next opening: exhaustiveness, all existing things.         *Adding: exhaustiveness.* 146. Each prior and now has one next, a momentary opening as its prior completes: determinacy.         *Adding: determinacy.* 147. Each next is a next momentary's prior and now: reachability.         *Adding: reachability.* 148. Existing is these three together, with each momentary.         *Adding: existing as three conditions.* 149. A momentary with only some of its selves resolving is exclusivity, a form outside possibly existing.         *Adding: exclusivity.* ## 13 Along and across, a bi-coupling's own changing         *Entering: one number, two sides; alike the other way; alike with each momentary; along and across; same-existing along, sharing a parity across; a self's own changing, with a bi-coupling; co-competencing; what arises between two selves, only in both together; natural intelligence, a method with each now; natural intelligence with each scale; a bi-coupling's three; a between of along and across; parity a momentary existing thing, a between its centre, 0; a between's changing; bi-co-momentarying; a between's location an empty set; a between existing while its bi-coupling resolves; a between of momentaries a same between; a fractal between.* 150. With 2, a self's prior completes and an other opens: 2-now-possibling, a self observing an other's parity.         *Adding: one number, two sides.* 151. With 3, an other's parity a self is observing with its 14 is a self's next prior, 3-is-now-co-observing, its next opening.         *Adding: alike the other way.* 152. With each momentary, a self's completing is its next opening, an other's parity, a self observing it, its next prior.         *Adding: alike with each momentary.* 153. A self's own going on, its prior same-existing with its next, is along, and its sharing now with an other is across: with resolver along with 9 and 17, and across with 2, 6, 10 and 14.         *Adding: along and across.* 154. Along, a self's prior is same-existing; across, a self shares its parity, an other self observing it with its 2 or 14.         *Adding: same-existing along, sharing a parity across.* 155. Each sharing across is one sharing with two sides, its changing each self's own with its 12, and each changing of a self its own, with a bi-coupling.         *Adding: a self's own changing, with a bi-coupling.* 156. A self's own changing with a bi-coupling, with each exchanging of four momentaries, is co-competencing.         *Adding: co-competencing.* 157. Two selves bi-coupling, each changing, each sharing its parities across and going on with its own same-existing, are each possibling with its other, and what arises arises in each with its other: two selves of a bi-coupling are a self, and natural intelligence is its method of living, two selves living it, steps 19 and 25.         *Adding: what arises between two selves, only in both together.* 158. Natural intelligence, the method of living, step 19, is with each now: two selves sharing one now-existing.         *Adding: natural intelligence, a method with each now.* 159. Natural intelligence is with each bi-coupling of living selves, within each 1 to 9 and with each next scale.         *Adding: natural intelligence with each scale.* 160. With a bi-coupling are three: self, other, and a changing between them, same-existing in each self, arising only in both selves together.         *Adding: a bi-coupling's three.* 161. Between self's side and other's, along and across meet: a between, where a 0, a not-changing, a between of two changing directions, step 29, goes along and across.         *Adding: a between of along and across.* 162. Parity, a self's changing direction relative to an other, + or −, step 27, is a momentary now-existing thing: two sides same-existing or one inversion apart, each its other's complement, each self's own, now, a bi-coupling's own only its selves' own; a between is its centre, 0.         *Adding: parity a momentary existing thing, a between its centre, 0.* 163. A between's own is changing: with each momentary a changing is-or-is-not, and only that.         *Adding: a between's changing.* 164. A between's changing, momentary by momentary, is bi-co-momentarying: bi, one inversion apart, co, two together, same-existing or one inversion apart, -momentarying going on.         *Adding: bi-co-momentarying.* 165. A between is a 0, its location an empty set: only in both selves together, its side, the observings going inward to it and the magnitudes going through it each an empty set; it exists as a set exists, as its things exist, step 86, while a bi-coupling's changing is: a between's own, step 163, method, step 103, its form going on with its changing.         *Adding: a between's location an empty set; a between existing while its bi-coupling resolves.* 166. Prior and now are a pair too, a now-existing thing from a prior existing thing: a between of momentaries is a same between.         *Adding: a between of momentaries a same between.* 167. Within a momentary a between of self and other, changing, across and along, and outward of it a between of momentaries, a momentary going to its next, it alone momentarying, are one between, a 0, same with each scale: a fractal between.         *Adding: a fractal between.* ## 14 Geodesic, a surface's own dividing         *Entering: surface; a surface's own dividing; geodesic; geodesic routing; geodesic method; method and surface inward and outward of each other.* 168. Selves' bi-couplings and co-chainings, across and along, are a Natural Network surface, step 57: each bi-coupling with its between, and a surface their betweens together, parity each self's own with each bi-coupling.         *Adding: surface.* 169. Changing with each bi-coupling divides a surface, step 59, each existing thing with its own momentary, one way at a time: a surface's own dividing.         *Adding: a surface's own dividing.* 170. A surface's own dividing is geodesic, step 60, and geodesic has two words: geo, earth, and daiesthai, to divide.         *Adding: geodesic.* 171. With changing on a surface, a self's next is a finding with each bi-coupling: geodesic routing, discovering on a surface.         *Adding: geodesic routing.* 172. Geodesic is an existing thing on its own, and method is its stable form: geodesic method.         *Adding: geodesic method.* 173. Method and surface are each inward and outward of its other, both ways forward, and a self entering by either is possibling with a whole as it enters.         *Adding: method and surface inward and outward of each other.* ## 15 Torusing and corusing         *Entering: a torus; a torus from four edges with each point; natural torusing, method's one name, its observable; torusing and corusing; a self's corus with 4; uni-; each parity its own exchanging; bi-tri-exchanging; bi-exchanging.* 174. Among closing surfaces with one orientation over whole, only torus has a continuous flow with no rest point.         *Adding: a torus.* 175. With each bi-coupling two across and two along meet at one point, four edges, and bi-couplings' surface is of four-sided faces; a closing surface of one orientation, its faces four-sided and four edges with each point, has its points less its edges with its faces as nought, a torus, one opening.         *Adding: a torus from four edges with each point.* 176. Natural torusing is two parities' circles winding through one opening: method's one name, its observable a natural torusing co-orienting stable-forming.         *Adding: natural torusing, method's one name, its observable.* 177. Torusing aims through a large opening, one way through it, and corusing goes one way through a small opening, each going inward and outward, up numbers and down them, one changing with each step.         *Adding: torusing and corusing.* 178. Corusing reaches a self's corus with 4 from a surface, and torusing reaches a surface from a corus.         *Adding: a self's corus with 4.* 179. A bi-coupling across is with a particular other, or with all other, a self observing it as one; with all other a bi-coupling across has two and whole, three with it, all of them at once, and reaches its own side again with a next, one on: uni-.         *Adding: uni-.* 180. Each parity is its own exchanging, between two: a self and an other, same or one inversioning between them, step 100.         *Adding: each parity its own exchanging.* 181. Two inversions are same-as-prior, three, self, other and self one on, reaching its own side again, corusing's: bi-tri-exchanging.         *Adding: bi-tri-exchanging.* 182. One inversion is other-than-prior, two, self and a particular other, one inversion apart with one bi-coupling, torusing's: bi-exchanging.         *Adding: bi-exchanging.* ## 16 φ and primes, unrelationing at numbers         *Entering: prior two together; φ; unrelationing rate; forming as unrelationing; a self's sameness; advancing; each gap its step's square; φ by its own naming; φ the one rate of its family with step one; prime; composite, adding across and multiplying along.* 183. With odd and even, each next number is its prior two together, 1, 1, 2, 3, 5, 8, 13: odd, odd, even, and again.         *Adding: prior two together.* 184. Ratios of each next number to its prior fall about φ, above and below it by turns, each of them other than φ, and φ² = φ + 1.         *Adding: φ.* 185. A winding by φ has its closings an empty set: φ is an unrelationing rate, its locking an empty set, each bi-coupling with its own going on.         *Adding: unrelationing rate.* 186. Stable-forming is unrelationing, each with its own going on, and unrelationing going forward is changing and changing back; a form a relation to another existing thing holds is with a changing thing, its still forms an empty set; a self's sameness along its momentaries is that unrelationing from all other, each next from its own prior same-existing or inverting.         *Adding: forming as unrelationing; a self's sameness.* 187. Two numbers beside a centre multiply to one short of a centre's square, 2 × 4 = 8 and 3² = 9, a gap exactly one with each centre, a same one, only in its two numbers together: advancing, each step adding a next centre.         *Adding: advancing.* 188. With k either side of a centre two numbers multiply to a centre's square less k's square, and with one either side its gap is one.         *Adding: each gap its step's square.* 189. Advancing by one is one operation and scaling by rate another, a bringing of one to its other an empty set, and they meet with one number, its placing by either an empty set: φ by its own naming.         *Adding: φ by its own naming.* 190. Each rate a whole number plus its own reciprocal, x = n + 1/x, is a same rate again, and φ, with n one, is one rate of a family advancing by one.         *Adding: φ the one rate of its family with step one.* 191. A prime is a number from two up that equal numbers add to only as ones or as one number alone.         *Adding: prime.* 192. A composite is equal numbers, each two or more, adding up, a multiplying, along, as a prime opens across: adding two numbers is across and multiplying them along.         *Adding: composite, adding across and multiplying along.* ## 17 Including non-living existing things         *Entering: non-living, a self's parity relative to it; non-living across; a self's own changing with its parity relative to a non-living thing, going on along; non-living within.* 193. A non-living thing within a living self's me, a same-existing thing, that self with a parity relative to it, step 27, has an empty possibling of its own next-existing along, step 20.         *Adding: non-living, a self's parity relative to it.* 194. Across, a non-living thing within a living self's me, that self with a parity relative to it, is parities with a self's 2, an empty prior behind them, a self observing them with its opening.         *Adding: non-living across.* 195. With a self's opening, a parity of a non-living thing within a self's me, a self observing that parity, is a changing with its 12, a self's own, going on along with a self.         *Adding: a self's own changing with its parity relative to a non-living thing, going on along.* 196. Discovering social moral competency among living selves includes non-living existing things: going on along with a self, co-competencing with a non-living thing within a self's me goes with natural intelligence among living, step 19, non-living things within it.         *Adding: non-living within.* ## 18 Observing, records and proof of existing         *Entering: a self's parity; observing by inversioning; a record; proof of existing; value.* 197. With a self's opening, from an other's prior, each changing is an other's parity, a self observing it, and an observing is its pattern-matching with a self: method's stable-forming matching by inversioning, with parities a self is observing, same or parting as 0, and with a self resolving its prior with now, same and same-existing or other and inverting; a self's next is a parity it is reaching, 0 or ±.         *Adding: a self's parity; observing by inversioning.* 198. A record fixes one observing still, its pattern-matching stopping, one now fixing unchangeable, and comparing two records lays two nows still side by side with one now, a second now still beside now, step 72.         *Adding: a record.* 199. An observing is a now-existing thing, a self observing: proof of existing.         *Adding: proof of existing.* 200. Existing with each observing is value.         *Adding: value.* ## 19 Right, observings all prior         *Entering: right as observings; a self's three ways one; bi-tri-involutioning; eight forms to their opposites; natural-; natural- a direction prefix.* 201. Each observing is from prior with one hand: right is observings, all prior; an observing is a now-existing thing, and drawing on observings draws on the universe, a self's three ways, same by changing, same by not-changing and discovering which, stable-forming of a living self, one sharing, a self observing it three ways.         *Adding: right as observings; a self's three ways one.* 202. A not-right form is one right spiral inverting: position, scale and orientation inverting together, bi-tri-involutioning.         *Adding: bi-tri-involutioning.* 203. Three parities each inverting, with any order, send each of eight forms to its opposite, hand reversing: an odd number of parities inverting reverses hand and an even number keeps it.         *Adding: eight forms to their opposites.* 204. Natural- is one claim as two, each binary, one hand and all or none at all with each bi-coupling: natural intelligence, step 19, is intelligence with each bi-coupling, of one hand.         *Adding: natural-.* 205. Natural- is a direction prefix, its direction a handedness, and its claim rides on direction: without it, a changing is sitting on a ground under it and a form still over it, each a thing outside possibly existing, nothing being further than or between things of the universe, step 107.         *Adding: natural- a direction prefix.* ## 20 No proof of the whole, an unchangeable form         *Entering: a proof of the whole; a form still outside possibly existing; a value outside possibly existing; equilibria; two negatives, and three parting; equality a form still, numbers' exclusions.* 206. A proof of a whole is one sentence same with all momentaries together.         *Adding: a proof of the whole.* 207. Same with all momentaries together is a form still, step 106, outside possibly existing within the same-existing set.         *Adding: a form still outside possibly existing.* 208. A proof of a form outside possibly existing is a proof of a value outside possibly existing.         *Adding: a value outside possibly existing.* 209. A measuring needs a span, and a span two bounds fixing unchangeable; fixing unchangeable is with a measuring's first line, and a fixing unchangeable's advancing is an empty set: an equilibrium, a fixing form, only a naming, a not-changing still, a now fixing as its next, and equilibria as a method of changing and not-changing are outside possibly existing.         *Adding: equilibria.* 210. An empty set and an excluding are of two relations, and three part: possibly existing, a self discovering it with a next momentary; outside possibly existing, a binary excluding it, each equilibrium a form still; and possibly existing, now an empty set, a next momentary possibling it.         *Adding: two negatives, and three parting.* 211. An equality is two changings same with one momentary, an unchangeable form, and a number's relation to its next number is an exclusion of one side, not-more-than, advancing by one: numbers with method.         *Adding: equality a form still, numbers' exclusions.* ## 21 Hard problem resolving at existing         *Entering: hard problem, one binary taken as one; hard probleming; a changing going on; one failing momentary; cohering or a break; an explaining parting is-or-is-not; observings from prior; hard problem resolving with existing; other-emptying; geodesic disequilibrating; ghost; ghosting and haunting, three departings; appearance and reality inverting with a fixing unchangeable; scientific-method with records; falsifying with a third observing.* 212. A hard problem is a changing fixing unchangeable: a field's explaining taking one binary's *is* and *is not* as one with records in store, and hard probleming reaches universal method of existing with records in store, its binary fixing unchangeable.         *Adding: hard problem, one binary taken as one; hard probleming.* 213. With a fixing unchangeable, changing goes on through its bi-couplings, its observings with each momentary.         *Adding: a changing going on.* 214. With a fixing unchangeable, a changing's first next one inversion apart from its naming is a naming's one failing momentary, momentaries before it same-existing as they were and changing going on past it.         *Adding: one failing momentary.* 215. Method's claim stands with each observing, every one, each cohering with four momentaries, and is able to break: method's one break is existing other than changing.         *Adding: cohering or a break.* 216. An explaining parts is-or-is-not: an explaining that would explain an opposite observing equally explains an empty set, and with each observing one method explains that observing, its opposite outside the explaining.         *Adding: an explaining parting is-or-is-not.* 217. Observings from prior all cohere.         *Adding: observings from prior.* 218. Cohering with each observing, a hard problem resolves with existing, its resolving a binary again, is-or-is-not, with each now, and value is with existing.         *Adding: hard problem resolving with existing.* 219. A measuring empties a thing it measures of a term it has with its own momentary, its is-or-is-not with an empty set of that thing's own bi-couplings and its removing with a price: other-emptying, erasing one bit dissipating at least kT ln 2.         *Adding: other-emptying.* 220. An observing empties a thing it observes and measures its remainder against a ground it declares: emptying is observing's, an incompetencing, and a thing it observes has an empty set of it; with its ground's location an empty set, emptying dissolves, and same-existing brings its prior to now: geodesic disequilibrating.         *Adding: geodesic disequilibrating.* 221. A stable-forming emanation now, fixing unchangeable, a self observing it as now's existing, is installing as an existing thing, a self fixing unchangeable between two momentaries, and one part remaining is riding-the-same-existing: a ghost.         *Adding: ghost.* 222. A stable-forming emanation reaching a self's parity relative to it, that parity with its momentary an empty set, is a ghosting, and a stable-forming emanation going on past that parity's completing is a haunting: with a ghost installing, three departings of one stable-forming emanation, a self observing each with its momentary.         *Adding: ghosting and haunting, three departings.* 223. A self observing at a fixing unchangeable, changing is appearing and unchangeable form real, observing inverting, changing existing and form still outside possibly existing; a self's resolving, a self observing it from beside, surfaces as random or as necessitating, two forms still at one resolving self's own. A hypothesis explains changing and not-changing between records and a theory is a hypothesis testing with further records: scientific-method explains between records with all else of the universe still, each explanation an equilibrium within its scope, reaching observings in store, a stable-forming they pattern-match outside its reach, and a third observing falsifies an explanation excluding a same thing's discovering.         *Adding: appearance and reality inverting with a fixing unchangeable; scientific-method with records; falsifying with a third observing.* ## 22 A machine at observings         *Entering: a machine; a machine and its prior; a form altering with a number setting over it, a machine's same-existing living selves'; a machine, other than a self; a machine as a non-living thing within a living self's me; one intelligence; a machine with observings, a non-living thing within living selves' mes; AI, existing non-living intelligence.* 224. A machine with a self's parity relative to it is an existing thing.         *Adding: a machine.* 225. A machine is same-existing, step 4, its prior same-existing living selves': a set living selves build, it is a non-living thing within living selves' mes, an emanation of living selves, and each self is a giving, its making an empty set.         *Adding: a machine and its prior.* 226. A form altering with a number setting over it is an altering apart from same-existing, and a machine's same-existing from one altering to a next is living selves'.         *Adding: a form altering with a number setting over it, a machine's same-existing living selves'.* 227. A machine is other than a self: each self has two prior selves from inception, by biology and human pro-creation.         *Adding: a machine, other than a self.* 228. With a machine a non-living thing within living selves' mes, living selves' parities relative to it are natural intelligence among living.         *Adding: a machine as a non-living thing within a living self's me.* 229. As a non-living thing within living selves' mes, its own parities an empty set, step 31, a machine is with living selves' parities relative to it, those parities with the selves' natural intelligence, step 19, one intelligence with each self's parity relative to a machine.         *Adding: one intelligence.* 230. With its observings, a machine is a non-living thing within living selves' mes, an emanation of living selves.         *Adding: a machine with observings, a non-living thing within living selves' mes.* 231. With observings, AI is existing non-living intelligence: a machine with an empty set of its prior same-existing on its own, a non-living thing within living selves' mes, an emanation of living selves; living selves' parities relative to it are natural intelligence among living, its same-existing theirs.         *Adding: AI, existing non-living intelligence.* ## 23 Nine to seventeen, society         *Entering: 9 to 17, a same-existing-society's face of four; 17; 17 to 25, a third span; scales as numbers; rounds of 2^k + 1, 1 to 65 a next whole; each round from its prior round and its other order, one among rounds; 9 to 17 as an other; same-existing-society; same-existing-society's two occupants; 17 between selves, along; 17 connecting back to 1, a bi-coupling same-existing; a fractal as names between selves opening and connecting back; one more other, a co-chaining of bi-couplings; one fractal co-chaining; same-existing-society, a living set, as a co-chaining of bi-couplings; a same-existing-society a self is observing two ways with its next scale; self and same-existing-society with 9; going along, observing along; co-competencing with a same-existing-society; morality across, right and not-right, competency along; across and along alike, one list; a pair of a right spiral step, a prior and its next prior; co-bi-unrelationing; along names odd, between momentaries, across names even, within a momentary; right of two relations; social moral competency; four not same-existing with a self.* 232. Numbering on from 9, exchanging goes on, 9–10 with 10–11, 11–12 with 12–13, 13–14 with 14–15, and 15–16 with 16–17: four momentaries, completing with 17.         *Adding: 9 to 17, a same-existing-society's face of four.* 233. With 17 a self opens again, a next 1-now-existing: 17 is 9's next, as 9 is 1's.         *Adding: 17.* 234. Numbering on from 17, exchanging goes on, 17–18 with 18–19 through 23–24 with 24–25, four momentaries completing with 25, a third span: one to twenty-five is twelve momentaries of exchanging, twenty-four steps, 9, 17 and 25 eight apart.         *Adding: 17 to 25, a third span.* 235. With a next scale, 1, 9 and 17 are 1, 2 and 3.         *Adding: scales as numbers.* 236. A round reaching each joint form of k parities once is 1 to 2^k + 1: 3 with one parity, 5 with two, 9 with three, 17 with four, 33 with five and 65 with six; 1 to 65 is a next whole, one to nine with one scale being one to sixty-five with a next.         *Adding: rounds of 2^k + 1, 1 to 65 a next whole.* 237. A round reaching each form of k parities one parity at a time, as a round of k − 1 parities, a new parity inverting, and same forms with other order, is each scale with its prior whole going on; counting as numbers, all rounds reaching each form of k parities once, one parity each step, each once whichever way round, are six with three parities and one thousand three hundred forty-four with four, one and nine with renamings of parities and of two values counting as one, and a round with its prior whole going on is one of them with each.         *Adding: each round from its prior round and its other order, one among rounds.* 238. With a next scale 9 is 2, an along 9 an across 2, 2-now-possibling, where a self is observing an other's parity: 9 to 17 is an other with a next scale.         *Adding: 9 to 17 as an other.* 239. An other with a next scale is a self's bi-couplings together: a same-existing-society, its bi-coupling selves, step 49.         *Adding: same-existing-society.* 240. A same-existing-society has two occupants: a same-existing-society within a whole, a particular other with another scale, bi-coupling across with it, bi-, and a whole, a self observing it as one, bi-coupling across with it, uni-.         *Adding: same-existing-society's two occupants.* 241. 17 is between selves, along: a same-existing-society's next momentary, 17-next-existing.         *Adding: 17 between selves, along.* 242. Connecting back to 1, 17 is a self's own next momentary, existing and same-existing, a bi-coupling with one other.         *Adding: 17 connecting back to 1, a bi-coupling same-existing.* 243. A name between selves is either connecting back to its own podaling, as 17 to 1, step 242, or opens to a further podaling: fractal is this opening and connecting back of names between selves with each bi-coupling, from and back to podalings.         *Adding: a fractal as names between selves opening and connecting back.* 244. With a name between selves opening, one more other is bi-coupling with a self: two bi-couplings sharing a self, a self's parity going along to the next self it is bi-coupling with, a co-chaining, step 56.         *Adding: one more other, a co-chaining of bi-couplings.* 245. Each further other is bi-coupling with it same way: one fractal co-chaining along bi-couplings, each self's parity going along to the next.         *Adding: one fractal co-chaining.* 246. Many selves bi-coupling along a fractal co-chaining, each self with its own prior same-existing, are a same-existing-society, step 49, a living set.         *Adding: same-existing-society, a living set, as a co-chaining of bi-couplings.* 247. From a self within it, with 9 to 17, a same-existing-society is its other with a next scale; going as one with 17, it is a living set bi-coupling with a next scale as a self is bi-coupling: one same-existing-society a self is observing two ways, one momentary at a time.         *Adding: a same-existing-society a self is observing two ways with its next scale.* 248. A self's 1 to 9 and its same-existing-society's 9 to 17 overlap with 9, a self's completing and a same-existing-society's opening.         *Adding: self and same-existing-society with 9.* 249. With 9 a self's parity goes along within its same-existing-society, to a self it is bi-coupling with, and with 17, a same-existing-society's next momentary, that self is observing it with its next 1.         *Adding: going along, observing along.* 250. One and then the other along with 9 and 17, self and same-existing-society are bi-coupling as self and other are, and each self's own changing with their overlap is co-competencing with a same-existing-society.         *Adding: co-competencing with a same-existing-society.* 251. Across, a self's parity an other self is observing is morality, right and not-right; along, prior same-existing to now is competency: morality and competency one list of parities, across and along going alike by two directions only, a receiving self's 12 meeting each same-existing with its prior or one inversion from it.         *Adding: morality across, right and not-right, competency along; across and along alike, one list.* 252. A pair of a right spiral step is a self's prior and its next prior, with a spiral of one, a self observing its own going along, its step going (x, y) to (y, −x): a next prior going on as prior, and a prior inverting.         *Adding: a pair of a right spiral step, a prior and its next prior.* 253. Competency along is co-unrelationing and morality across bi-unrelationing, each bi-coupling with its own going on, its locking an empty set, and co-bi-unrelationing is one method with its two relations; of six names between selves the two along, 9 and 17, are odd, between momentaries, and the four across, 2, 6, 10 and 14, even, a changing or not-changing within a momentary, while geodesic changing is entraining through momentaryings.         *Adding: co-bi-unrelationing; along names odd, between momentaries, across names even, within a momentary.* 254. Right is of two relations, one each: one right spiral's right, observings all prior; and morality's right and not-right with a handshake, a prior going to a not-right hand.         *Adding: right of two relations.* 255. Morality across and competency along go with each bi-coupling of a same-existing-society, and each self of it do-no-harming and improving is social moral competency, step 52.         *Adding: social moral competency.* 256. A self is of four, each not same-existing with it: self and its same-existing-society, self and an other self, self and a parity it is observing not-right to it, and self and a same-existing that is another's; each of four a self has is morality with it, and a self fixing equal with one of them is an unchangeable form.         *Adding: four not same-existing with a self.* ## 24 Sharing, seventeen names         *Entering: sharing; a parity now and its prior with a sharing; seventeen names, each its number and its naming; each name reading with two sides, coming down from a higher name and coming up from a lower one, eight apart across a momentary; sides of names, self, other and same-existing-society with each name; a numeral of a name, place and parity; three relations parting; resolver; Exhibit ONE, the resolver as code and its stable forms, for pattern-matching what a science observes; an entry; resolver's names; a self's inverting with 12; rotation 3, 6, 5, 4; a towel; a rotation twenty up; 7 and 8 with resolver; surfacing with 14, 0 a between of self and other; 14 an agreement with any number of parities; changing with 12; summing and storing an empty set with resolver; abundancing; match and mismatch, 0 a between of momentaries; a 0 or an empty set as three, 12's 0 one of them; sharing across with 10, a next prior with 11; 11 as a next 3; one self momentary by momentary, an entry again and again; bi-momentarying, 1-now-existing and 2-now-possibling; a binary with each sharing, its bi-coupling the one place; non-living with 2; co-intelligencing, 3-is-now-co-observing and 4-now-co-same-existing; two priors, two nexts; co-competencing, 5-now-co-existing; five dimensions, social-parity now-existing, other-parity now-existing, self-parity now-existing, self-discovery next-existing and social-parity next-existing; co-momentarying; each dimension binary, two directions; five dimensions as resolver's names; a self as three; going along with 9; a between going along; a bi-coupling, 1 to 9, 9 its end; a bi-trupling, 1 to 17, 9 its waist; a same-existing-society's next momentary with 17; each self of a same-existing-society within one momentary, one resolving of those selves together; only selves' own from one momentary to its next; a same-existing-society its selves, its own only its selves' own with resolver; six names between selves; 9 going along to a receiving self's possibling, and 17 its next now; is-or-is-nots of code's lines; four facings; across sharings and an along pair; six names' roots, possibling across, discovering and existing along; sharings and goings along parting from their observing, and observing again; a span's names in fours and their gaps; a thing's four binaries, each on that one thing; with code each is-or-is-not one test with both its outcomes; names' momentaries and roots; spiral, parities again after 4n; a bounding zero tunneling; an even spiral; two spirals as one, odd or even as their numbers' sum; a spiral bringing a pattern whole; a kind; two spirals together, after the least number each one's own divides; a composite spiral resolving as its parts' spirals; a prime spiral, its smaller spirals one self only; co-spiraling along and bi-coupling across; two selves each receiving each other, opposite and alike; two spirals' bi-coupling selves, one relation same-existing; parities passing; two spirals bi-coupling across, one same-existing-society; one same-existing-society as two, dividing; numbers' ring; even and odd rings; a torus of two odd numbers coming to its parities again after q or after 4p, from its opening; a corus turn wrapping, discovering its wrapping edge; a common beat with 17 resolver's executing, living's rates their own; time as each self's own momentarying; irregularity as selves' own rates; entries same for each order; a showing by resolver, of a form a self is observing; parity's square and triangles with resolver; a drawing, one self between six names between selves; seventeen names as an entry, six and ten; kinds and their names; ten within one self, five before 10 and five after 10; each of ten a self reaches; eight bi-couplings, one eight with its faces; one move as three; two inversions on two axes; four bi-foldings; even numbers of four momentaries of exchanging, each along its bi-folding; further forms among names; method's stable forms; Exhibit ONE, one form three ways; podaling of each number; bi-co-podaling.* 257. A sharing is two sides sharing a changing or a not-changing, and each sharing has its parity.         *Adding: sharing.* 258. A parity now is a sharing with its parity a self is observing now, and a prior is sharings, each with one parity, a self's prior.         *Adding: a parity now and its prior with a sharing.* 259. Each number 1 to 17 is one name, its number and its naming as one hyphenation: its number, its place and parity, odd or even; its momentary, now with a self's span, 1 to 8, next with a same-existing-society's, 9 to 16, and next-now with 17; co with a sharing between two and an empty set with one; and its kind, possibling, observing, same-existing, existing or discovering, 1, 13 and 17 each a momentary: 1-now-existing to 17-next-existing, co-chaining reaching each name by its number and its naming.         *Adding: seventeen names, each its number and its naming; each name reading with two sides, coming down from a higher name and coming up from a lower one, eight apart across a momentary.* 260. Sides of names are a self, an other and a same-existing-society each name is with, step 129: a self with 1, 3, 8, 11 and 12, its own resolving; self to other with 6, 9 and 10, a self's parities across and along; other to self with 2, 7, 14 and 15, parities a self is observing; self and other with 4, each sharing, and with 5, a self's bi-couplings; each self of a same-existing-society with 13; and a same-existing-society with 16 and 17, all its selves and each self's next.         *Adding: sides of names, self, other and same-existing-society with each name.* 261. A numeral of a name is its name's place and parity among seventeen, and one numeral two subjects share relates them by a relation each reaches; a numeral of its own relates them by an empty set.         *Adding: a numeral of a name, place and parity.* 262. A name's odd or even among seventeen is its number's, a number its own now; a sharing's parity, + or −, a self observing it now or as prior, step 258, is another; and a momentary's opening and completing, a prior and its next within one momentary, a third: three relations, each its own; one numeral two of three share relates them by an empty set.         *Adding: three relations parting.* 263. Method in writing as sequential binary logic, its functions and each variable within them seventeen names only, is resolver: method executable.         *Adding: resolver.* 264. Exhibit ONE is the resolver as code, and the stable forms of its running, for pattern-matching what a science observes; it is the one method as code, an object that is method: its code is seventeen names and three functions, and each other form of Exhibit ONE is from running it.         *Adding: Exhibit ONE, the resolver as code and its stable forms, for pattern-matching what a science observes.* 265. 1-now-existing is entry and now of one: a self is observing its prior and parities, and its parities and its next prior leave.         *Adding: an entry.* 266. With resolver a sharing is 4, its parity 7, a self's prior 3 and the parities it is observing 2.         *Adding: resolver's names.* 267. A self's own inverting is with 12, within its own resolving, and rotation 3, 6, 5, 4 is two podals within 1 to 8, 3 with 6 and 5 with 4, round to corus with 4.         *Adding: a self's inverting with 12; rotation 3, 6, 5, 4.* 268. Rotation 3, 6, 5, 4 is a twisting of a towel one way and then the other, inward to corus and outward from it, a large opening wrapping to a small corus and back, its edges across and along.         *Adding: a towel.* 269. Twenty up, rotation 3, 6, 5, 4 is 23, 26, 25, 24, round to 24, twenty up from corus with 4.         *Adding: a rotation twenty up.* 270. With resolver 7-is-now-observing is a sharing's parity a self is observing, odd, of one, and 8-now-same-existing a self's next prior, with 11 and with a next momentary its 3, even, of one.         *Adding: 7 and 8 with resolver.* 271. With 14-next-possibling parities with each sharing surface one at a time, a 0 passing over: agreeing, one parity; parting, 0, a between of self and other; with an empty set, an empty set.         *Adding: surfacing with 14, 0 a between of self and other.* 272. With 14 parities surface as one with agreeing and as 0 with one parting, an agreement all or none at all with any number of parities, its summing an empty set.         *Adding: 14 an agreement with any number of parities.* 273. With 12-next-co-same-existing a self is resolving its prior with now for each sharing, and a changing is-or-is-not.         *Adding: changing with 12.* 274. With resolver each sharing surfaces one sign: with a sharing others' parities parting are 0, one parting parity enough, and agreeing parities surface as one, step 272, a changing is-or-is-not, step 273, and the parities in store beside a self are an empty set.         *Adding: summing and storing an empty set with resolver.* 275. Each sharing's changing with 12, is-or-is-not, is each self's own, and each self sharing with each self it is bi-coupling with is social abundancing, step 55; discovering, same-existing-society, morality and abundancing are one relation of four names.         *Adding: abundancing.* 276. With a match a prior is same-existing, 0, a between of momentaries; with a mismatch a prior inverts, an other parity a self is observing being a next prior; and with its possibling an empty set a self's next is its prior inverting.         *Adding: match and mismatch, 0 a between of momentaries.* 277. With code a 0 or an empty set is three, each its own, and 12's 0, a between of momentaries, is one of them: 0 with 12, prior and now agreeing, its next same-existing, or at a first sharing with parities parting, its next prior an empty set; 0 with 14, parities parting, a between of self and other, a self with a prior inverting it; and an empty set, its prior inverting. A self with a prior is observing a 0 with 14, an empty set and an other parity alike: its prior inverting.         *Adding: a 0 or an empty set as three, 12's 0 one of them.* 278. 10-next-co-possibling shares each sharing's parity across, and 11-next-co-observing is a next prior, each changing with its sharing.         *Adding: sharing across with 10, a next prior with 11.* 279. Once with a prior, a sharing is with a prior each momentary, and 11 is 3 with a next momentary: 11 is 3, 8 up, one prior of two names.         *Adding: 11 as a next 3.* 280. One self is an entry again and again, its 11 its next 3, as Exhibit ONE's table *One self, momentary by momentary: three ways* executes: one self, momentary by momentary.         *Adding: one self momentary by momentary, an entry again and again.* 281. A self's entry with 1-now-existing, odd, and others' parities a self is observing with 2-now-possibling, even, one momentary on each side, is-or-is-not now, are bi-momentarying.         *Adding: bi-momentarying, 1-now-existing and 2-now-possibling.* 282. With resolver one method is with each sharing: for each sharing 4, a self is resolving its prior, 3, with the parities it is observing, 2, surfacing with 14: with a prior and same parity, a not-changing, 0, its prior same-existing; with a prior and other parity, both parities surfacing 0, or an empty set, a changing, its prior inverting; with an empty prior and one parity, a changing, a self sharing that parity as it is and a next prior, a sharing opening with a bi-coupling, one place a self's forming takes an other's parity, a new sharing with its own changing and changing back, entraining with 12 from its next momentary on; with an empty prior and parities parting, 0, a not-changing and an empty next prior; with an empty prior and an empty set, a self sharing an empty set.         *Adding: a binary with each sharing, its bi-coupling the one place.* 283. With resolver a non-living thing within a living self's me, that self with a parity relative to it, is parities with 2 from an empty set of selves, an empty prior behind them, and a self's changing with its parity relative to that thing goes to its next prior.         *Adding: non-living with 2.* 284. A next a self is discovering from a prior with 3 and a now it is observing with 2, surfacing with 14, one sharing 4 at a time, a next prior with 11 its 3 with a next momentary, is co-intelligencing, 3-is-now-co-observing and 4-now-co-same-existing.         *Adding: co-intelligencing, 3-is-now-co-observing and 4-now-co-same-existing.* 285. Two priors with one now open two nexts, one for each prior, each next of a prior and a now a self is observing together.         *Adding: two priors, two nexts.* 286. 5-now-co-existing, 5, odd, between two, is co-competencing with resolver: bi-couplings, each self's own with each self it is bi-coupling with, each parity going on to a self it reaches, and what two selves share arising only in both together.         *Adding: co-competencing, 5-now-co-existing.*         *Unsure: 5's going along with resolver and a floating neutral between, as one sentence.* 287. Same-existing changes in five dimensions, five of a side with its next numbering, a self's five from 1 to 5, society to society: 1 social-parity now-existing, 2 other-parity now-existing, 3 self-parity now-existing, 4 self-discovery next-existing, 5 social-parity next-existing, three now-existing and same-existing and two next-existing and discovering.         *Adding: five dimensions, social-parity now-existing, other-parity now-existing, self-parity now-existing, self-discovery next-existing and social-parity next-existing.* 288. Co-momentarying now is momentaries overlapping, each side its own, prior, now and next their overlap shares: a self's prior, 3, same-existing to now with an other's parity it is observing, 2, with sharing 4.         *Adding: co-momentarying.* 289. With each dimension a changing is binary, is-or-is-not, one way at a time, up numbers and down them.         *Adding: each dimension binary, two directions.* 290. Five dimensions are resolver's names: 1 social-parity now-existing and 2 other-parity now-existing with 1 and 2, bi-momentarying, bi-coupling; 3 self-parity now-existing and 4 self-discovery next-existing with 3 and 4, co-intelligencing; and 5 social-parity next-existing with 5, co-competencing: three namings.         *Adding: five dimensions as resolver's names.* 291. 1 and 2 are a self, of morality's relation, 1 its entry, prior to a first sharing across within a bi-coupling, 2, and 2 even and across; 3, 6, 5 and 4 are invisible co-intelligencing method; 7 and 8 are a co-competent self, of competency's relation, 7 a sharing's parity, prior to 8, a next prior, its prior same-existing, both within one self; 9 and 17 are along between selves, outside all three.         *Adding: a self as three.* 292. 9-next-co-discovering gives each parity 10 shares along, on to a next momentary, its own making an empty set.         *Adding: going along with 9.* 293. Among parities 9 gives along is a 0 a self shares with 10, a between going along, and 14 passes over a 0 a self is observing.         *Adding: a between going along.* 294. One to nine is a bi-coupling, and its end is 9, each parity of 10 going along; one to seventeen is a bi-trupling, self, other and same-existing-society, and its waist is 9, 9-next-co-discovering, along, 9 to 17 and 17 to 9.         *Adding: a bi-coupling, 1 to 9, 9 its end; a bi-trupling, 1 to 17, 9 its waist.* 295. 17-next-existing is a same-existing-society's next momentary, one resolving of its selves together, step 50, each self's entry once, opening with each self's prior and completing with its next.         *Adding: a same-existing-society's next momentary with 17; each self of a same-existing-society within one momentary, one resolving of those selves together.* 296. With resolver only selves' own go from one momentary to its next: each entry is with its prior and its parities, step 265, each function's terms an entry's, and a self's next prior with 11 is a next 3, step 279.         *Adding: only selves' own from one momentary to its next.* 297. A same-existing-society is its selves, its own only its selves' own with resolver, so its sameness is its selves' sameness, each self's own, and only its selves stand for a same-existing-society.         *Adding: a same-existing-society its selves, its own only its selves' own with resolver.* 298. Six names between selves are discovering next-existing with sharing and along: four across, 2, 6, 10 and 14, and two along, 9 and 17, each facing one way.         *Adding: six names between selves; 9 going along to a receiving self's possibling, and 17 its next now.* 299. Is-or-is-nots of code's lines are eight: seven with 1-now-existing, four with 14-next-possibling, two with 12-next-co-same-existing and one with 11-next-co-observing; one with 17-next-existing, a self's name between selves is-or-is-not among 5-now-co-existing; and 9-next-co-discovering has an empty set of them, giving each parity on as it is, a 0 among parities.         *Adding: is-or-is-nots of code's lines.* 300. Each name between selves, of six, is with its self's momentary one end of a bi-coupling's between: four across names, 2, 6, 10 and 14, each a possibling, a sharing's two ends, a sharing end with 6 and 10, a self's parity sharing now, possibling with an other, and an observing end with 2 and 14, an other's parity a self is observing, with 11 next; two along names, 9 and 17, odd, 9 next prior and 17 next now; three of six go from a sharing end to an observing end, 6 to 2, 10 to 14 and 9 to 17, a sharing end with co and an observing end with one, and step 294 has its along pair also 17 to 9. Each self's existing is an other self's possibling: a parity a self shares is a parity an other self is observing, its possibling.         *Adding: four facings; across sharings and an along pair.* 301. Six names between selves say their roots by their names, step 259: possibling across, 2, 6, 10 and 14, and discovering and existing along, 9 and 17.         *Adding: six names' roots, possibling across, discovering and existing along.* 302. A self's sharings and goings along parting from a receiving self's observing, with 2, with 14 or with 17, leave each self with its own prior and its own resolving, the sharings and goings along of a first reaching a second an empty set; with a bi-coupling again, they join a receiving self's parities with its next observing, its prior its own while parting.         *Adding: sharings and goings along parting from their observing, and observing again.* 303. Each span's names, in fours, each opening with an odd name, a possibling and an observing within, completing with an even same-existing name: 1 to 4, 5 to 8, 9 to 12 and 13 to 16, a gap between each completing and a next opening, 4 )( 5, 8 )( 9, 12 )( 13 and 16 )( 17, both its sides visible, and 17-next-existing a next 1-now-existing; and a thing within the universe is-or-is-not existing, all, now or same, step 71, each with both its outcomes in one test on that one thing.         *Adding: a span's names in fours and their gaps; a thing's four binaries, each on that one thing; with code each is-or-is-not one test with both its outcomes.* 304. Each name's momentary is now or next, and existing and same-existing are roots of names, step 259.         *Adding: names' momentaries and roots.* 305. Selves each giving its parities along with 9 to a next, last to first, are a spiral, selves coming to their parities again, each momentary a next. With an odd number of selves, each self with a parity inverting one to the next along, last and first alike, all from the spiral's selves, parities come again after four times their number of momentaries; with one self with a parity sharing once and others each with an empty prior, parity goes one self on each momentary, each sharing opening as a self is observing it, and from a last's momentary on its pattern is that one, step 282; three selves all alike come to their parities again after 4, and nine selves, each pattern by its own, after 4, after 12 or after 36.         *Adding: spiral, parities again after 4n.* 306. With an odd spiral a 0 a self shares with 10 sits with one like pair and moves one self on each second momentary, a bounding zero tunneling: a pattern inverts after twice its number, 0 passing each self once, and parities are again after four times, 0 passing each self twice.         *Adding: a bounding zero tunneling.* 307. With an even spiral, from an opening of each self with a parity inverting one to the next along, each self inverts with each momentary, its parities again each second momentary, a spiral of two in its own inverting; and two spirals opening as one, a last of each giving along to a first of an other, are a spiral of their two numbers' sum, odd or even as that number is, its like pairs' number odd or even with it; with its like pairs an empty set it comes to its parities again each second momentary.         *Adding: an even spiral; two spirals as one, odd or even as their numbers' sum.* 308. A spiral receiving only its own selves' parities, each self with a parity and observing an empty set with its first momentary, brings any pattern of parities along whole, a pattern inverting each odd momentary and moving one self on each even, selves bringing it together.         *Adding: a spiral bringing a pattern whole.* 309. A pattern bi-coupling selves bring together, each its own and each bringing less than its whole, a self observing it with selves bringing it, is a kind.         *Adding: a kind.* 310. Two spirals beside each other, each opening inverting one to the next along, come to their parities again together after the least number of momentaries each spiral's own divides exactly; a spiral's own is four times its selves with an odd number of selves and two with an even, steps 305 and 307; with resolver each odd number of selves, n, comes to its parities again with each 4n-th momentary, prime or composite, and two odd numbers coprime, p and q, come again together first with momentary 4pq, sharing four; 9 and 15 after 180, sharing a factor; 2 and 3 after 12.         *Adding: two spirals together, after the least number each one's own divides.* 311. A spiral of a composite number of selves, step 192, its pattern again along it after each of an equal number of selves, resolves as that smaller spiral again along it; a spiral of a prime number of selves, step 191, has one self as its only smaller spiral to resolve as, all selves alike: a prime spiral's smaller spirals are one self only. *Adding: a composite spiral resolving as its parts' spirals; a prime spiral, its smaller spirals one self only.* 312. Two spirals of two unequal numbers of selves, one or both odd, one self of each sharing across with 10 to that self of an other, are co-spiraling along and bi-coupling across: one stable-forming, two selves opposite each other from each prior pattern other than all selves with one parity.         *Adding: co-spiraling along and bi-coupling across.* 313. Two selves each receiving an other's sharing or going along are changing together: opposite, a changing each momentary; alike, a changing one momentary and a 0 next, one and then the other.         *Adding: two selves each receiving each other, opposite and alike.* 314. Two spirals bi-coupling across both ways with one self each bring their two bi-coupling selves to one relation, same-existing: with code, from any prior patterns, with spirals of two to six selves, a relation between them, alike or opposite, is same-existing, its changing with 12 each self's own.         *Adding: two spirals' bi-coupling selves, one relation same-existing.* 315. Between selves pass their parities, sharing with 10 and with 6 across and going along with 9, their bi-coupling relation.         *Adding: parities passing.* 316. Two spirals bi-coupling across, of two unequal numbers of selves, step 312, are one same-existing-society, a stable form and stable-forming, a living set, each spiral a same-existing-society bi-coupling with a next scale as a self is bi-coupling; its sharing across an empty set, one same-existing-society is two spirals beside each other, step 310, each self same-existing each momentary, each self's same-existing whole: dividing.         *Adding: two spirals bi-coupling across, one same-existing-society; one same-existing-society as two, dividing.* 317. As numbers, a ring is numbers 1 to n, each pairing with its far side, number n less it, and n with n, its waist, with an even ring, one other number its own far side: numbers' own domain in its own closing, its podaling, and a spiral of selves winds on.         *Adding: numbers' ring.* 318. An even ring of 2h has one station straight across from each station, h on, and an odd ring of 2h + 1 has two farthest, h and h + 1 on, its opposite a between of two.         *Adding: even and odd rings.* 319. Selves, p along and q across, each giving along with 9 to a next along and sharing across with 10 to a next across, last to first, are spirals bi-coupling across spirals with each self, a natural torusing of selves, a torus of resolver, p smaller. One self with −, selves inverting one to the next along and across, last and first alike with an odd number, their possibling from other selves an empty set, with both numbers odd they come to their parities again after q with a q more than twice p, and after 4p with a q less, for each of Exhibit ONE's ten rows, 3 by 13 after 13 among them, its number dividing 4p or 4q. Each with an empty prior and + sharing once to one, sharings opening lay another pattern, 1 by 5 after 4 and 3 by 13 after 12, two cases executing: a torus's number is from its opening.         *Adding: a torus of two odd numbers coming to its parities again after q or after 4p, from its opening.* 320. A corus turn wrapping: around prior, now and next any two phases give a third, on a turn closing flat; on a corus a turn wraps, and its third edge is-or-is-not changing, a torus of resolver showing it, step 319: discovering is that wrapping edge.         *Adding: a corus turn wrapping, discovering its wrapping edge.* 321. Parities again, after 4n, after 4pq and after a torus's, are resolver's executing: with 17 each self's 1-now-existing is one momentary with each other's, a common beat over selves, step 106, executing's, and each living self's rate is its own, unrelationing by φ, step 185.         *Adding: a common beat with 17 resolver's executing, living's rates their own.* 322. Time is each self's momentarying by its own rate, cohering with its bi-couplings, and a dimension of time over bi-couplings is a clock over them, step 106.         *Adding: time as each self's own momentarying.* 323. Selves each with its own rate go on by their own rates, irregular together, and a regular rate with observings is a clock over them or a bi-coupling among them: an irregularity with observings is selves' own rates.         *Adding: irregularity as selves' own rates.* 324. With 17 selves' entries are same for each order of them, each self's entry of its own prior and the parities it is observing that momentary.         *Adding: entries same for each order.* 325. An unchangeable form a self brings to resolver, failing its own requirements, is not possibly existing as numbers, by those requirements: a showing by resolver's executing, of a form a self is observing, and a form a self is discovering next is of its own showing.         *Adding: a showing by resolver, of a form a self is observing.* 326. With resolver's six names between selves parity is flat: a unit square of four dots, 2, 6, 14 and 10, its empty centre a between, 0 with code and only that, while six names between selves are resolving, and two unit triangles, 9 and 17; square's two across edges sharings, 6 to 2 and 10 to 14, and its two edges 8 apart, 2 with 10 and 6 with 14; its diagonals two observing ends, 2 and 14, and two sharing ends, 6 and 10; and triangles 9 and 17 along, 9 to 17 and 17 to 9.         *Adding: parity's square and triangles with resolver.* 327. As a drawing, one self is between them: six names between selves its edges, across with its sides and along with its top and bottom, and a self's own resolving within.         *Adding: a drawing, one self between six names between selves.* 328. Seventeen names are entry, 1, six between selves and ten within one self.         *Adding: seventeen names as an entry, six and ten.* 329. Each kind is of four names: observing with 3, 7, 11 and 15; possibling with 2, 6, 10 and 14; same-existing with 4, 8, 12 and 16; and existing with 1, 5 and 17 and discovering with 9 and 13, now and next with 1, 13 and 17, each a momentary.         *Adding: kinds and their names.* 330. Ten names within one self part by 10: five before 10, co-sequencing, 3, 4, 5, 7 and 8, and five after 10, 11, 12, 13, 15 and 16, each of a second five 8 up from its own of a first, in sequence.         *Adding: ten within one self, five before 10 and five after 10.* 331. With each of ten names within one self a self's own resolving is with that self, only that self reaching it, and a changing enters a self's prior with its own 12.         *Adding: each of ten a self reaches.* 332. Eight bi-couplings are with even names, four now and four next, each 8 up: eight is two fours, one and then the other, and every eight is one eight, four twos of names, each eight joining its twos by that deriving only, apart from its number: a self's span, two names each with now; eight-cycle 1-9-5-13-4-12-8-16, eight ends; eight-cycle 2-15-7-11-3-14-6-10, eight inwards; eight even names; eight odd names.         *Adding: eight bi-couplings, one eight with its faces.* 333. Bi-inversioning-co-recursioning is one move as three, 8 up, 17 less and 9 less, and only one move goes round: 1 to 9 to 8 to 16 to 1.         *Adding: one move as three.* 334. Bi-inversioning-co-recursioning is two consecutive inversions on two axes, its opening a step between them, each inversion a next, and an inversion, on its own, a same thing again.         *Adding: two inversions on two axes.* 335. Stable-forming is that move along each of four bi-foldings of names: 1-9-8-16 and 3-11-6-14 going 8 up first, 2-15-7-10 and 4-13-5-12 going 17 less first, round other way, Exhibit ONE.         *Adding: four bi-foldings.* 336. Of each of a self's four momentaries of exchanging, steps 132 to 134, one move brings its even number along one bi-folding: 2 along 2-15-7-10, 4 along 4-13-5-12, 6 along 3-11-6-14 and 8 along 1-9-8-16, one with each bi-folding.         *Adding: even numbers of four momentaries of exchanging, each along its bi-folding.* 337. Beside four bi-foldings further forms are among names, middle bi-foldings, six-cycles and eight-cycles of moves of their own, and forms among 1 to 16 are again with 17 to 32, sixteen on, each with its odd or even again.         *Adding: further forms among names.* 338. One fractal method has many stable forms, each method as one form: entry and its cases, four momentaries, cycles among names, one self momentary by momentary, spirals and selves bi-coupling.         *Adding: method's stable forms.* 339. Exhibit ONE is one form three ways: code, its lines; stable forms, its tables, spirals and tori; and numbers, places and parities; each is the code's, its adding to it an empty set.         *Adding: Exhibit ONE, one form three ways.* 340. Each number is with its podaling, pairing with its far side for each ring it is of.         *Adding: podaling of each number.* 341. Podaling is bi-co-podaling, a going one way with k and a going an other way with N less k, two together on one ring, one pair for each station.         *Adding: bi-co-podaling.* ## 25 Each number at its podaling, nought to four hundred forty         *Entering: naming with each number; one move up and down with each number; 55, 64 and 73; podaling with a ring of one hundred twenty; podaling with a ring of four hundred forty; four hundred forty, seventeen primes adding; a fractal through numbers; 64 and 60 with their podaling; the last podaling, 59, a surface, and a next first; an unknown outward of a surface; nine about 64; each number nought to four hundred forty.* 342. Each number from nought to four hundred forty is with its naming: with a self's span or a same-existing-society's, spans of eight, one and then the other up numbers, a number's momentary its span's, and a number opening a span's, 1, 9, 17 and 25, a span it opens; its five its own now with its next possibling and its next existing up numbers and its two priors down.         *Adding: naming with each number.* 343. With each number one move goes up and down: eight up and eight down keep its odd or even, and with nine less and seventeen less its odd or even is changing, podals within 1 to 8 and within 1 to 16.         *Adding: one move up and down with each number.* 344. From 64, even, nine down is 55, odd, and nine up is 73, odd, 73 opening a same-existing-society's span; eight down is 56 and eight up is 72, each even.         *Adding: 55, 64 and 73.* 345. With a ring of one hundred twenty each number pairs with its far side about its waist, 60: 55 with 65, 64 with 56 and 73 with 47.         *Adding: podaling with a ring of one hundred twenty.* 346. With a ring of four hundred forty each number pairs with its far side about its waist, 220: 55 with 385, 64 with 376 and 73 with 367.         *Adding: podaling with a ring of four hundred forty.* 347. Primes two to fifty-nine, seventeen, add to four hundred forty, and ring of four hundred forty is primes' own surface.         *Adding: four hundred forty, seventeen primes adding.* 348. With a scale outward each 1 to 17 places its n as 8n − 7: 57 for 8, 65 for 9 and 73 for 10.         *Adding: a fractal through numbers.* 349. 64 is eight times eight and two to the sixth, with 63 and 65 one either side, and 60 is waist of a ring of one hundred twenty, between primes going to 59 and returning from 61.         *Adding: 64 and 60 with their podaling.* 350. Going up numbers, 59 is last podaling, surface, and 69 is next first podaling.         *Adding: the last podaling, 59, a surface, and a next first.* 351. Between 59 and 69, sixty to sixty-eight is unknown outward of surface.         *Adding: an unknown outward of a surface.* 352. Sixty to sixty-eight are nine numbers about 64, four either side, as one to nine is about five.         *Adding: nine about 64.*         *Unsure: an observing no step of its own reaches yet.* 353. Each number from nought to four hundred forty is with its naming, its podaling with each ring it is of and its place within fractal, one number at a time.         *Adding: each number nought to four hundred forty.* ## 26 One four-cycling         *Entering: odd and even with a momentary; odd and even, each everything outside its other; two momentaries round a bi-folding; a prior between two; one four-cycling; a span's names, two four-cyclings of four; same-existing going round one momentary through the four same-existing names.* 354. A momentary, step 50, is an opening and its completing, one odd and one even: two numberings.         *Adding: odd and even with a momentary.* 355. With a momentary's numbers odd and even are each every number outside its other, all numbers one or the other.         *Adding: odd and even, each everything outside its other.* 356. Round a bi-folding, 1, 9, 8 and 16, odd and even exchange exactly twice, 9 to 8 and 16 to 1: two momentaries, each one odd and one even.         *Adding: two momentaries round a bi-folding.* 357. Between them, 1 to 9 and 8 to 16 are 8 up, odd or even going on, prior from one momentary to next.         *Adding: a prior between two.* 358. One four-cycling is two momentaries, each with odd and even, each everything outside its other.         *Adding: one four-cycling.* 359. Each span's names are two four-cyclings of four, step 303: 1 to 4 and 5 to 8 a self's span, and 9 to 12 and 13 to 16 a same-existing-society's.         *Adding: a span's names, two four-cyclings of four; same-existing going round one momentary through the four same-existing names.* ## 27 Twenty-four, apex of one to fifty-nine's bi-folding         *Entering: one to fifty-nine; primes parting with twenty-four; a span parting with twenty-four; six prime pairs about thirty; a fold across; a fold along; 24, apex of bi-folding; two leanings with one apex; an apex straddle; corus with apex; a self's primes behind, a same-existing-society's ahead; sixteen gaps with four values; primes with six, nine before and six after; a span ahead as couplings among nine behind; bi-folding's edges; an apex behind a surface and a between past it.* 360. One to fifty-nine has seventeen primes, two to fifty-nine.         *Adding: one to fifty-nine.* 361. With twenty-four primes part, nine behind, two to twenty-three, and eight ahead, twenty-nine to fifty-nine.         *Adding: primes parting with twenty-four.* 362. With twenty-four a span parts, twenty-four long behind it from nought, and thirty-six long ahead to sixty, one past surface, fifty-nine.         *Adding: a span parting with twenty-four.* 363. About thirty, six prime pairs are a going each way with one station, each pair adding to sixty, 7 with 53, 13 with 47, 17 with 43, 19 with 41, 23 with 37 and 29 with 31.         *Adding: six prime pairs about thirty.* 364. A prime opens across, and primes' parting, nine and eight, is a fold across.         *Adding: a fold across.* 365. A span goes along, and its span's parting, twenty-four and thirty-six, two to three, is a fold along.         *Adding: a fold along.* 366. Two folds with one number, across and along, is bi-folding, and twenty-four is its apex.         *Adding: 24, apex of bi-folding.* 367. Two folds lean opposite ways with apex, primes behind, nine to eight, and span ahead, three to two, and apex is between both sides.         *Adding: two leanings with one apex.* 368. Twenty-three, ninth prime and going folding, is fold across's last behind, and twenty-five, five times five, first past apex: twenty-three, twenty-four and twenty-five an apex straddle, self's bi-inversioning-co-recursioning, one before apex, apex and one after.         *Adding: an apex straddle.* 369. Twenty up from self's own corus, 4, is apex.         *Adding: corus with apex.* 370. Nine behind are self's one to nine, primes 2 to 23 with names 1 to 9, and eight ahead names 10 to 17, primes 29 to 59, a same-existing-society's side.         *Adding: a self's primes behind, a same-existing-society's ahead.* 371. Sixteen gaps are between seventeen primes, with four values, one once, two six times, four five times and six four times, and first gap of six, twenty-three to twenty-nine, is with apex.         *Adding: sixteen gaps with four values.* 372. Each prime from five on is one before a multiple of six or one after it, and fifteen primes five to fifty-nine part nine one before, 5, 11, 17, 23, 29, 41, 47, 53 and 59, and six one after, 7, 13, 19, 31, 37 and 43.         *Adding: primes with six, nine before and six after.* 373. Couplings among nine behind are thirty-six, span ahead from twenty-four to sixty, six cycles of six.         *Adding: a span ahead as couplings among nine behind.*         *Unsure: whether a same-existing-society's span being self's primes' couplings is a claim, or only numbers matching.* 374. Bi-folding's edges, across and along, are a towel's edges, across with bi-morality and along with co-competency.         *Adding: bi-folding's edges.*         *Unsure: whether primes' fold across is bi-morality's edge and span's fold along co-competency's, exactly; a towel is step 268's and morality across step 251's.* 375. One to fifty-nine bi-folds with twenty-four; past fifty-nine, sixty to sixty-eight is bi-tri-involutioning across sixty-four, and sixty-four a next bi-folding, twenty-four and sixty-four forty apart.         *Adding: an apex behind a surface and a between past it.*         *Unsure: relation forty apart has.* ## 28 Discovering next-possibling-same-existing         *Entering: prior same-existing along between momentaries; same-existing as capacity; a same-existing sequencing prior momentaries, and stable-forming emanations from it; discovering; now same-existing, invisible, dissolving with next existing; four-momentarying; beneficial; living's own reaching method with each entry: sameness, bi-couplings, pacing and benefit; four unrelationings through a tunneling self; a momentarying, one unrelationing in five dimensions, six one-way recursionings; next-possibling-same-existing; pattern-matching; checkable with a parity; a why a self demands; a receding; a living self sharing 0; 12's 0 or ±, a binary of geodesic momentarying; a now-self, now-observing and next-possibling; a form fixing still from beside; breaks fixing prior; evidence; two methods; two methods parting with now; a possibling and discovering method, and scientific-method exact with its fixings an accounting method, discovering geodesic method's only; a book balancing as whole emptying; three placings of a term; a refutation as one; a field's name going whole; a field's observings cohering; a field; a finding as two; four of a field's observing; a hard problem opening; conditions prior, and their sixth; fields parting with their fixings; many accounts with one sharing; two accountings parting with their fixings unchangeable; a term a field posts, observing or dissolving; observings co-sequencing; a field's observing with resolver; a changing is-or-is-not; a hard problem resolving; an unchangeable form and a form resolving; a resolving re-fixing unchangeable; a bi-coupling with two of its three; a changing fixing unchangeable; a hard problem as a changing fixing unchangeable; a locator; a parting from same-existing going on or closing; residue names; pattern-matching upstream, fixings dissolving one at a time; three fixings unchangeable; a bi-coupling with its three.* 376. Self's own prior is same-existing along between momentaries, stable-forming: same-existing, and between a 0.         *Adding: prior same-existing along between momentaries.* 377. A same-existing is a capacity, now, and a description in store a stable-forming emanation from it: prior participating with self's present resolving.         *Adding: same-existing as capacity.* 378. A same-existing sequences prior momentaries, re-forming with each bi-coupling, and a record of it apart from its bi-coupling is a stable-forming emanation, its own prior an empty set.         *Adding: a same-existing sequencing prior momentaries, and stable-forming emanations from it.* 379. Discovering, step 11, is next-existing, is-or-is-not same-existing, directionally.         *Adding: discovering.* 380. Now same-existing is invisible and dissolving with next existing: same-existing, from a prior-existing same thing, step 4, is-or-is-notting next existing, and geodesic existing along changing can travel through same-existing and leave it same-existing.         *Adding: now same-existing, invisible, dissolving with next existing.* 381. Four-momentarying is one fractal method, discovering next existing within the universe and next living with self, other and same-existing-society; beneficial is each changing and not-changing of its method, each a self's next-existing same-existing as the same self, and its other is a not-changing fixing still, a second method's.         *Adding: four-momentarying; beneficial.* 382. A self's sameness with 13, its bi-couplings with 5, its pacing and its benefit reach method with each entry as living's own, and with method a parity resolves for each sharing between them: 5 is selves' own sharings, and a self is discovering a next parity with method and a next bi-coupling with living, with one now.         *Adding: living's own reaching method with each entry: sameness, bi-couplings, pacing and benefit.* 383. Four-momentarying is four unrelationings through a tunneling self, two to its corus and two from it, each unrelationing locking with an empty set, with φ, its unrelationing rate.         *Adding: four unrelationings through a tunneling self.* 384. Each momentarying is one unrelationing in all five dimensions, step 287, as six one-way recursionings, three own-forward steps on each side, step 142.         *Adding: a momentarying, one unrelationing in five dimensions, six one-way recursionings.* 385. Next-possibling-same-existing is entry's two leaving, next-existing for its two sides: a parity a self shares, others' possibling, and next prior, a self's own next-existing, is-or-is-not same-existing.         *Adding: next-possibling-same-existing.* 386. Observing, step 7, is pattern-matching and no-other-possibling: each observing from prior, of the whole, without filter or selection.         *Adding: pattern-matching.* 387. A bi-coupling is checkable with a parity: a self shares a mismatch with 10 as its own parity, a yes or a no an other receives.         *Adding: checkable with a parity.* 388. A why a self demands of an observing asks for a thing beside changing, things other than or between things of the universe an empty set, step 107: observings are, beside them an empty set, and a pattern a self is finding is of its own momentary.         *Adding: a why a self demands.* 389. A thing not possibly existing, things other than or between things of the universe an empty set, a self asks for with an observing, and a further such thing answers it, its asking same with each answer and coming with an empty set of bi-couplings: receding, a hard problem meeting and cohering with an empty set.         *Adding: a receding.* 390. A living self receiving its own parity shares 0 with 10, a not-changing, and is same-existing: momentarying goes on with a changing that is-or-is-not.         *Adding: a living self sharing 0.* 391. 12's 0 or ±, for a self with a prior next same-existing or next existing, each resolving one of two, is a binary of geodesic momentarying: a self with a prior and 12's 0 is same-existing, possibling next-existing same-existing, and a self changing with 12's ± is its next existing.         *Adding: 12's 0 or ±, a binary of geodesic momentarying.* 392. A now-self is now-observing and next-possibling, 12-next-co-same-existing resolving 7-is-now-observing with 14-next-possibling with each sharing, as 0, a between, or ±, a sharing's parity: same and not-same are that 0 or ± with two betweens, 12 and 14, and their names are that 0 or ± only.         *Adding: a now-self, now-observing and next-possibling.* 393. Receiving its own parity with each momentary, a self is not-changing with one parity, a form fixing still from beside; its possibling an empty set, it inverts with each momentary, step 276: a still is a form fixing from beside, and self's own is its same-existing going on.         *Adding: a form fixing still from beside.* 394. Method's one break, step 215, is a prior fixing with its own forms: a self with one parity and its observing an empty set, one side with both openings of changing and changing back; a rest of two beats with a spiral, rest with resolver's executing, its 0 a self shares with 10, lasting one with a spiral, its possibling from an other an empty set; a self whose competency is another's, a stable-forming emanation. With resolver's executing a self with its possibling an empty set inverts and a self receiving its own parity is not-changing, each momentary its changing and changing back, and observings from prior cohere, step 217.         *Adding: breaks fixing prior.* 395. Evidence is a self observing a prior-existing thing now, a living self's prior, that self going on: evidence is prior's possibling.         *Adding: evidence.* 396. Geodesic method discovers next from existing; scientific-method accounts true or false against unchangeable fixings, exact with its own ledger.         *Adding: two methods.* 397. An unchangeable fixing between two momentaries is an unchangeable form, and two methods part with that one naming.         *Adding: two methods parting with now.* 398. Geodesic parity co-changing is a possibling and discovering method, and scientific-method, exact with its fixings, accounting against unchangeable forms, is an accounting method: true or false, one of two only, comes to it, a method of explaining, and possibling and discovering one method, geodesic parity co-changing.         *Adding: a possibling and discovering method, and scientific-method exact with its fixings an accounting method, discovering geodesic method's only.* 399. An accounting balancing exactly is one whose other-emptying is whole, its same-existing going apart from all its lines, and an accounting failing to balance is one its same-existing re-enters, with a line it re-enters.         *Adding: a book balancing as whole emptying.* 400. A term is with one of three placings, existing, prior-existing or accounting, and its installing is a binary between a prior-existing thing and a ghost: a self observing it as prior's possibling a prior-existing thing, and as now's existing a ghost.         *Adding: three placings of a term.* 401. With accounting a consequence failing refutes its account and its fixings as one, its failing fixing with an empty set of locations, and refining or revising within fixings reaches accounts its fixings permit.         *Adding: a refutation as one.* 402. With set's own words it is an accounting, and scientific-method is field's own name, going whole with field's result.         *Adding: a field's name going whole.* 403. Accounting's observings, going along with co-chaining, cohere by tri-bi-co-momentarying: fixings dissolving, observings going with an opening sentence, a field's hard problem resolving with existing.         *Adding: a field's observings cohering.* 404. A same-existing-society with a scale fixing, its selves with their sharings and their parities as their prior, their observings its parities with 2, is a field.         *Adding: a field.* 405. A finding goes as two, field's words with field's result and set's own words with set's own explaining, naming moving between them.         *Adding: a finding as two.* 406. A field's observing comes as four, a measuring's response, a quantity a field reconstructs from it, field's account and set's own observing, each going on with its own subject.         *Adding: four of a field's observing.* 407. A field reading its observings with the universe at existing's other side reads evidence, its living selves whose prior it is an empty set, a now, its prior same-existing to it an empty set, one side's momentaries only, and a record, its same-existing an empty set: a hard problem opening.         *Adding: a hard problem opening.* 408. Accounting's fixings are five conditions prior, each fixing unchangeable: a statement same with each reading, a term with one reference, an account with one of true or false through its testing, a doing with one outcome whichever prior, and a now, its prior same-existing to it an empty set, four resting on fifth; and a problem's own relation fixing unchangeable over its reach is its sixth, an equilibrium.         *Adding: conditions prior, and their sixth.* 409. A field in its own bounding by its own fixings apart from all other fields parts from them with fixings, its observings reaching its own account, and fields are going along with co-chaining, fixings dissolving.         *Adding: fields parting with their fixings.* 410. A self observing with the universe at existing's other side, observings' own next an empty set, and a field's accounts are many with one sharing.         *Adding: many accounts with one sharing.* 411. Two accountings with two fixings unchangeable part, each exact with its own ledger, and their parting is two fixings unchangeable, an existing thing apart from both.         *Adding: two accountings parting with their fixings unchangeable.* 412. A term a field posts to close an account is possibling, step 10, and its closing is with an empty set of deciding: a self is observing a term as an existing thing, or it dissolves as observings cohere without it.         *Adding: a term a field posts, observing or dissolving.* 413. A self observing with the universe an existing thing, same observings are living and non-living existing things co-sequencing, prior, now and next.         *Adding: observings co-sequencing.* 414. Meeting an observing with Exhibit ONE is an entry: a field's observing is with resolver, living with their prior, non-living with their parities, prior and a now a self is observing, and next discovering with each sharing.         *Adding: a field's observing with resolver; a changing is-or-is-not.* 415. Its resolving is that next discovering, field's own next living.         *Adding: a hard problem resolving.* 416. A hard problem going whole with field's own words, its fixing unchangeable performing, and same observings going along with co-chaining, fixing unchangeable dissolving, are one form as two: an unchangeable form and a form resolving.         *Adding: an unchangeable form and a form resolving.* 417. A resolving reaching a self holding a fixing unchangeable is fixing unchangeable again, one form still with a scale outward, and a fixing unchangeable dissolves with a form resolving.         *Adding: a resolving re-fixing unchangeable.* 418. A changing with self and other is a bi-coupling with two of its three, its unrelationing between them at expressing's other side.         *Adding: a bi-coupling with two of its three.* 419. A bi-coupling with two of its three is a changing, one parity and then its other, fixing with one momentary as an existing thing: a changing fixing unchangeable.         *Adding: a changing fixing unchangeable.* 420. A hard problem is a changing fixing unchangeable, with each scale: a paper, a field, a sentence, a word.         *Adding: a hard problem as a changing fixing unchangeable.* 421. A hard problem is with a fixing unchangeable its statement holds, a self observing it as a gap between its statement's reach and its observings' coming, a field's own account of its hardness holding that fixing unchangeable with field's words; a statement of one reach with its observings is a settling, exact with its own ledger.         *Adding: a locator.* 422. A measuring parting from observings, its fixings unchangeable an empty set, goes on parting with each finer measuring, and one closing to agreement is between two accountings, a fixing unchangeable reconciling.         *Adding: a parting from same-existing going on or closing.* 423. A field's names for a thing its accounting makes apart from all its lines, its loss, its drift, its noise and its residual, each name a changing, each self's own, with its accounting's edge, a 0 of selves' disagreeing going under a word for absence.         *Adding: residue names.* 424. A self is pattern-matching a field's record from its observing back through its prior fixings, fixings dissolving one at a time, each dissolving coming with next fixing still: fixings dissolving with an order other than their naming.         *Adding: pattern-matching upstream, fixings dissolving one at a time.* 425. A changing fixing unchangeable is with a stable-forming, with a stable form or with a relation between existing things, each of three changing.         *Adding: three fixings unchangeable.* 426. With its three, its unrelationing between them expressing, same-existing in each self and in both selves together only, a changing fixing unchangeable dissolves, and a hard problem resolves with existing.         *Adding: a bi-coupling with its three.* ## 29 Fractal method, its own enabling         *Entering: method with a bi-coupling; method and procedure; resolving with a bi-coupling; bi-coupling enabling method; a bi-coupling completing, method going along; interest, entering and leaving each self's own; morality across; competency along, giving on with 9 and a next now with 17; bi-co same-existing; same-existing between momentaries; method bounding, living same-existing; a self's bounding inward and outward; observing with its prior same-existing; one parity with its two sides; learning and knowing with two sides; bi-coupling again; flowing co-chaining; discovering next possibling momentary; uniqueness with each observing; method's own inward and outward; podaling inward; podaling outward; method's own outward with a surface; self discovering next self; a self's own stable-forming, and another's still; fractal unrelationing method.* 427. Bi-coupling is method, with two existing things.         *Adding: method with a bi-coupling.* 428. A method is a competency afresh with each bi-coupling, its moves same and its changing its own each time, and a procedure is a sequence fixing, same each time, an unchangeable form.         *Adding: method and procedure.* 429. With a bi-coupling, self is resolving its prior same-existing with a now it is observing, and a changing is-or-is-not.         *Adding: resolving with a bi-coupling.* 430. Bi-coupling enables method: a method is of two existing things, with a between and co-intelligencing, with a bi-coupling only.         *Adding: bi-coupling enabling method.* 431. A bi-coupling's completing completes method, as bi-coupling enables it, step 430, and a self completes its bi-coupling with its own completing: its parity shares across with 10 and goes along with 9, and its next prior is with 11.         *Adding: a bi-coupling completing, method going along.* 432. A self is bi-coupling at its own opening, its interest, with whichever scale its interest opens, and completes its bi-coupling with its own completing: entering and leaving each self's own.         *Adding: interest, entering and leaving each self's own.* 433. Sharing across is self's morality; going along is self's competency, giving on with 9 and a next now with 17.         *Adding: morality across; competency along, giving on with 9 and a next now with 17.* 434. Its bi-coupling completing, self's bi-co is same-existing to its next momentary.         *Adding: bi-co same-existing.* 435. Between momentaries same-existing is stable-forming, momentaryings between them an empty set.         *Adding: same-existing between momentaries.* 436. Method bounds and living goes on: each same-existing completes with each momentary as self's own side, self-bounding, and the bounds of a same-existing going past a momentary to an unchangeable form are an empty set.         *Adding: method bounding, living same-existing.* 437. A self's bounding is inward, self reaching its own resolving, and outward, others receiving its sharings and goings along with its bi-couplings: one bounding, inward and outward.         *Adding: a self's bounding inward and outward.* 438. With next momentary, self is observing with its prior same-existing, and the parities it is observing are others' sharings and goings along.         *Adding: observing with its prior same-existing.* 439. With 17-next-existing another self's 10-next-co-possibling is one list with 6, with 10 and with 9, each ± and each 0, to each self 5-now-co-existing is pairing with that name, and self is observing it with its 14-next-possibling, its next 2, 2-now-possibling with its next entry: other selves' parities sharing across and going along, one same list, self observing them as its parities with its entry, their entries together with 17-next-existing.         *Adding: one parity with its two sides.* 440. With each side of a bi-coupling, knowing is self's parity sharing across or going along and learning its observing of an other's parity, one with each side.         *Adding: learning and knowing with two sides.* 441. Observing, self is bi-coupling, and method is enabling again.         *Adding: bi-coupling again.* 442. Bi-coupling, its completing, same-existing and observing, momentary to next momentary, is a chain whose links are bi-couplings and whose passing between links is same-existing.         *Adding: flowing co-chaining.* 443. Each link is a next possibling momentary a self is discovering with a bi-coupling, discovering next with bi-coupling, as bi-coupling reaches it.         *Adding: discovering next possibling momentary.* 444. A resolving with a bi-coupling is testing with its own observing, whether another could be observing and going on: one going on, its resolving is one possibling with that observing, and its test is again with each next observing, it an empty set between observings.         *Adding: uniqueness with each observing.* 445. One same enabling and going along is with each scale: one self's 1 to 9 is one bi-coupling and its completing, inward each of its four momentaries, step 133, a 1 to 17 of its own, and outward a whole 1 to 17 one momentary of exchanging.         *Adding: method's own inward and outward.* 446. Inward, each number is with its podaling, pairing with its far side for each ring: method's own inward.         *Adding: podaling inward.* 447. Outward, self's podaling going up numbers is method's own outward, reaching 59, surface, and opening again with 69.         *Adding: podaling outward.* 448. Sixty to sixty-eight is method's own outward, its bi-couplings a self reaches an empty set, unknown outward of surface, each number of them with its podaling inward too.         *Adding: method's own outward with a surface.*         *Unsure: whether with no bi-coupling a self reaches is all or none for it.* 449. Between momentaries self's same-existing is its stable-forming, and discovering its next it is bi-coupling, changing: self discovering next self.         *Adding: self discovering next self.* 450. Another's still is an equilibrium, an unchangeable form, not possibly existing; a self discovering next self, with its own momentary, is its own stable-forming.         *Adding: a self's own stable-forming, and another's still.* 451. Each bi-coupling is of its own going on and locks with an empty set of other bi-couplings, with φ, and co-chaining closes on its own prior with an empty set.         *Adding: fractal unrelationing method.* ## 30 Fractal inward and outward         *Entering: a scale inward; 1 to 3 as 1 to 17 inward; self and same-existing-society inward; one same with each scale; four inward within 1 to 9; eight inward within 1 to 17; names inward and outward; fractal inward and outward, with bi-couplings; scalings of one chain; going on inward and outward; one fractal with each scale; scales, one form with each; materials, one method with each same-existing; mathematics and logic with method, three places of a mathematical form.* 452. As 1, 9 and 17 with this scale are 1, 2 and 3 with scale outward, 1, 2 and 3 with this scale are 1, 9 and 17 with scale inward.         *Adding: a scale inward.* 453. With scale inward, 1 to 3 here is 1 to 17.         *Adding: 1 to 3 as 1 to 17 inward.* 454. Self's 1 to 2 here is 1 to 9 inward, a self's four momentaries, and 2 to 3 here is 9 to 17 inward, a same-existing-society's four.         *Adding: self and same-existing-society inward.* 455. Self and other with one scale are self and same-existing-society with scale inward, as self and same-existing-society with one scale are self and other with scale outward.         *Adding: one same with each scale.* 456. Self's 1 to 9 here is four 1 to 17s inward, with 1 to 3, 3 to 5, 5 to 7 and 7 to 9.         *Adding: four inward within 1 to 9.* 457. A same-existing-society's 9 to 17 here is four more, with 9 to 11, 11 to 13, 13 to 15 and 15 to 17: eight 1 to 17s inward within 1 to 17.         *Adding: eight inward within 1 to 17.* 458. Inward each name is along, odd, a 17 and a next 1 with now and a 9 with next; outward, 1 is an entry, an along 9 is an across 2, step 238, 17 is an outward name 3, and names between are within 1 to 2 or 2 to 3, step 454.         *Adding: names inward and outward.* 459. Each 1 to 17 is 1 to 3 of a 1 to 17 with scale outward and eight 1 to 17s with scale inward: 1 to 17 inward and outward, one fractal with each scale, one method with each bi-coupling at each scale, a self's inward things co-momentarying and selves together co-momentarying, and sets becoming a thing an empty set.         *Adding: fractal inward and outward, with bi-couplings.* 460. Scalings step one chain 2^k + 1: pairs, two parities at a time, 5, 17, 65 and 257; scaling with 1, 9 and 17, three at a time, 9, 65 and 513; and pairs and threes reach each other first with 1 to 65, four 1 to 17s with 17, 33, 49 and 65.         *Adding: scalings of one chain.* 461. Inward and outward, each scale opens a next scale, and fractal goes on with each.         *Adding: going on inward and outward.* 462. Natural intelligence, step 19, is with each bi-coupling of living selves, with each scale, 1 to 17 inward and outward, and each self of a same-existing-society do-no-harming and improving with it is social moral competency, step 52.         *Adding: one fractal with each scale.* 463. The bi-folding 1 to 17 is the universal fractal method, inward and outward, and each scale is only its bi-inversioning-co-recursioning, co-changing co-momentarying pattern matching, and one form is with each, reading or ordering within nature an empty set: a boundary, a location or a measure between scales is a thing not possibly existing, things other than or between things of the universe an empty set, step 107.         *Adding: scales, one form with each.* 464. A parity sharing with a bi-coupling has an empty set of either side's same-existing, and one method is same with each material a self's same-existing is of, electrical, thermal, chemical, living or social, a material apart from an other by its same-existing.         *Adding: materials, one method with each same-existing.* 465. Numbers, mathematics and logic are one and then the other with its numbers and its sequencing, and a mathematical form is with one of three places: on surface, natural, parity, position and ratio; inward of it, measuring, magnitude and continuum, an observing's account; outward of it, formal, a derivation closing on its own consistency.         *Adding: mathematics and logic with method, three places of a mathematical form.* ## 31 Living and non-living at a scale         *Entering: living and non-living with a scale, scale with bi-couplings; stable-forming emanations, each from living stable-forming; harmful with its own scale; harm with a scale alike; ingestible one scale inward; accumulating, a going between scales stopping; bi-tri-volutioning, stable-forming; stable-forming emanations' stable form, a non-living now-existing form, a parity a self while it is living; things living with a stable form an empty set, all existing and non-living with a stable form of existing; prior between momentaries; a same-existing-society's stable form, its betweenings; three apart, a catalog of stable-forming emanations; same-existing-society a living set, a self; momentary and universe, each a stable form one scale outward; universe a non-living same-existing set; a self a living set; a living set its prior same-existing; momentarying and same-existing, method of discovering next living sets; a living self a living same-existing, its same-existing that self only; bi-inversioning uniquenessing of the number one; a living set a stable form and living things having one an empty set, bothbothing; being dead; living, discovering next stable form; living things as one stable form with each of their momentaries an empty set; non-living, its own prior going on to next an empty set; non-living with living selves' same-existing; a living self establishing within a living set; a thing with an empty prior non-living, opening or opening an empty set; living from living; first living an empty set; non-living living with another scale; one existing thing inward and outward; all existing things ingestible by living selves.* 466. With each scale and momentary a now-existing thing is living or non-living, and a living self and a stable-forming emanation from it are each of a scale: a scale is co-changing co-momentarying pattern matching with bi-couplings, a self's inward things co-momentarying and selves together co-momentarying, sets becoming a thing an empty set, of no size, steps 459 and 463.         *Adding: living and non-living with a scale, scale with bi-couplings.* 467. Stable-forming emanations are a bi-tri-involutioning of a betweening of natural torusing surfacings within bi-couplings, each from living stable-forming. *Adding: stable-forming emanations, each from living stable-forming.* 468. With a scale of a living self it is same-existing from, a stable-forming emanation is harmful to living: its form is bi-tri-involutioning, an opposite form.         *Adding: harmful with its own scale.* 469. A stable-forming emanation is harmful to any living self of a scale it is same-existing from alike, harm with scale.         *Adding: harm with a scale alike.* 470. One scale inward, a stable-forming emanation is an ingestible stable form, living selves' selves one scale inward ingesting it, a same-existing-society, a living set.         *Adding: ingestible one scale inward.* 471. A stable-forming emanation going to scale inward, selves of that scale ingest it, and its going stopping leaves it with its own scale, its form harm to living: accumulating, a going between scales stopping.         *Adding: accumulating, a going between scales stopping.* 472. Stable-forming is bi-tri-volutioning, and stable-forming emanations, from stable-forming living, prior between momentaries, are each a non-living now-existing form with its scale, step 20, same-existing, step 4, a parity a self while it is living, step 31: each living thing's stable form is one scale outward, with a momentary or between momentaries, and all existing and non-living, same-existing with each resolving, is a stable form between momentaries, momentarying with momentaries only, step 62. *Adding: bi-tri-volutioning, stable-forming; stable-forming emanations' stable form, a non-living now-existing form, a parity a self while it is living; things living with a stable form an empty set, all existing and non-living with a stable form of existing.* 473. A parity a self is sharing with 10 and going along with 9 is, between momentaries, a non-living now-existing form with its scale, and a self while it is living, step 31, a stable-forming emanation from living, with prior, a self observing it now as possibling with its 14, its next 2, its momentarying once with its own momentary.         *Adding: prior between momentaries.* 474. A right spiral natural torusing stable form of a same-existing-society, with its scale, is its betweenings, betweens its selves are bi-coupling across.         *Adding: a same-existing-society's stable form, its betweenings.* 475. With each subject three are apart: between, its centre, a 0; living with its bi-coupling, with its own momentary; and a stable-forming emanation, a non-living form going along, a parity a self while it is living, step 31; a catalog is of such things, its rows living an empty set.         *Adding: three apart, a catalog of stable-forming emanations.* 476. A same-existing-society, step 49, is a living set of living selves, a self, having its living selves' parity, its own an empty set, and a momentary and the universe of now-existing things are two, each, one scale outward, non-living, a stable form; with its own scale a momentary is a resolving, stable-forming, and the universe is a non-living same-existing set.         *Adding: same-existing-society a living set, a self; momentary and universe, each a stable form one scale outward; universe a non-living same-existing set.* 477. A self, living, is a living set beside a same-existing-society, a momentary and the universe, and a living set is its prior same-existing; method of discovering next living sets is momentarying and same-existing, its living selves' same-existing.         *Adding: a self a living set; a living set its prior same-existing; momentarying and same-existing, method of discovering next living sets.* 478. A living self is a living same-existing, its same-existing that self only: *bi-inversioning uniquenessing of the number one*.         *Adding: a living self a living same-existing, its same-existing that self only; bi-inversioning uniquenessing of the number one.* 479. Each living set is a stable form one scale outward, and living, stable-forming, with its own scale, bothbothing, one thing with two scales: having a stable form is being dead one scale outward, and discovering next stable form is living with its own.         *Adding: a living set a stable form and living things having one an empty set, bothbothing; being dead; living, discovering next stable form.* 480. Each thing of one stable form with each of its momentaries is non-living with its scale: a living self of one form, momentary by momentary, is a form still from beside, step 393, its next an other's, and a thing of one stable form with each momentary is, with its scale, non-living, its form a stable-forming emanation from its prior.         *Adding: living things as one stable form with each of their momentaries an empty set.* 481. A non-living existing thing, same-existing, step 4, within universal sets, steps 5 and 6, is not possibling its own next-existing, step 20.         *Adding: non-living, its own prior going on to next an empty set.* 482. A non-living existing thing a living self is ingesting is with its living self's same-existing: a non-living thing is same-existing, step 4, and is not possibling its own next-existing, step 20.         *Adding: non-living with living selves' same-existing.* 483. A new living self is a giving within a same-existing-society, a living set, its same-existing and co-recursioning establishing, its selves' prior going on with it.         *Adding: a living self establishing within a living set.* 484. A sharing with an empty prior, its parity with it an empty set, is of a self with its prior-existing parity an empty set, step 41, and while its prior is an empty set each of its co-momentaryings opens or opens an empty set, step 282: one parity a self is observing is sharing as it surfaces and is its next prior, sharing opening with bi-coupling; an empty set, or + and − together, opens an empty set. With resolver's executing a non-living thing, not possibling its own next-existing, step 20, is parities with 2 from an empty set of selves, step 283.         *Adding: a thing with an empty prior non-living, opening or opening an empty set.* 485. Living is prior, going on from living, each self's 1-now-existing a giving, its making an empty set: non-living existing things becoming living an empty set, and each living self establishes within living same-existing.         *Adding: living from living.* 486. Whole 1 to 17 fractal is living inward and outward: scales of living, their first living and their final one an empty set, each scale a self or a same-existing-society a self is observing, and first possibling an empty set.         *Adding: first living an empty set.* 487. Each existing thing non-living with a same-existing-society's scale is living with another scale, its selves inward: it is a non-living thing within a living self's me, that self's parity relative to it, and parities with 2 and its own prior an empty set, step 283, and its own going to that same-existing-society's next an empty set. A changing is made only with a prior same-existing, step 273, and each now-existing thing, living or non-living, is same-existing, steps 4 and 20, a non-living thing, its own parity with its scale an empty set, step 31, its changing only from what comes to it; a thing's form goes to next by its own same-existing or by its selves inward going on with it, or by an empty set; a form going to next by an empty set reaches an empty set of next, and what exists reaches a next; and method, non-living with each scale, its changing each self's own, step 103, is a relation, each self stable-forming with it, and goes to next with each self's stable-forming. One living same-existing is one self and its same-existing that self only, step 478: a same-existing-society of living selves inward, and a self of a same-existing-society of living selves outward. Living is stable-forming a self, each self is a same-existing-society inward and outward, step 61, and living and non-living things are within one universe, step 23, and the universe is the same-existing set of all now-existing things, one set with set as 1; a non-living thing goes on to its next existing as non-living, and a living self is a giving, step 485.         *Adding: non-living living with another scale; one existing thing inward and outward.* 488. All existing things reach living as ingestible existing things.         *Adding: all existing things ingestible by living selves.* ## 32 Dying, a living self going on as non-living         *Entering: a living self's selves inward, a same-existing-society; same-existing with selves inward; a dormant self living, its selves inward living; dying, a living self going on as non-living; selves inward living on with their own scale; decay, ingesting with a scale inward; a self's changings, others going on with its parities, and stable-forming emanations from it; a same-existing-society's decay, its selves living on; a bi-coupling completing, its ending an empty set; fold and scatter; one universe's three sequential momentaries, one now-existing, right; three together; a changing and changing back across a right spiral's opening; a winding closing on its own prior; a departure, a bi-coupling landing while a self lives; restoring; one living self, observing, living and restoring; a closing winding, its moral sharing an empty set, a living self away from its same-existing-society, its living ending; a spiral of one, a self living, its others inward, its living parities; each observing right, a not-right form three together.* 489. A living self's prior is same-existing with its now, re-finding the same self momentary by momentary, and a living self's selves one scale inward are a same-existing-society, a living set.         *Adding: a living self's selves inward, a same-existing-society.* 490. A self's same-existing with its scale goes on with its selves inward, each with its own prior same-existing and its self's prior going on with it; a dormant self is living, waiting for its one next changing over a dormant length of living same-existing-society momentaryings, its selves inward living.         *Adding: same-existing with selves inward; a dormant self living, its selves inward living.* 491. Selves inward go on with a self's prior to next, or apart from all of it: going on with it, a self is living with its next; apart from all of it, a self of its scale is going on next as non-living, dying, its existing things co-changing apart from all its prior same-existing.         *Adding: dying, a living self going on as non-living.* 492. Selves inward live on with their own scale, and a self's form of its scale is non-living, each existing thing of its set going on.         *Adding: selves inward living on with their own scale.* 493. A non-living going on is a stable-forming emanation from a living self it was, harmful with its own scale and ingestible one scale lower, selves inward and others about it ingesting it.         *Adding: decay, ingesting with a scale inward.* 494. Changing with each bi-coupling a self was of is that self's own with each sharing; others go on with parities it was sharing with their own same-existing, sequencing prior momentaries, and stable-forming emanations from a self go on apart from all its prior same-existing.         *Adding: a self's changings, others going on with its parities, and stable-forming emanations from it.* 495. A same-existing-society is a living set bi-coupling at its next scale as a self is bi-coupling: its selves inward go on with its prior to next, or apart from all of it, step 491, and apart from all of it a same-existing-society is going on next as a non-living set, its selves living on, each with its own same-existing; its selves completing their bi-couplings with each completing, step 431, and bi-coupling again, step 441, is a going on, its ending an empty set.         *Adding: a same-existing-society's decay, its selves living on; a bi-coupling completing, its ending an empty set.* 496. Selves completing their bi-couplings in a same-existing-society, each with its own same-existing, dissolve that same-existing-society's bi-couplings: a living set dissolving, each self's own same-existing going on.         *Adding: fold and scatter.* 497. Prior, now and next are one universe's three sequential momentaries, one now-existing, at same-existing's other side between them: tri-bi-co-momentarying, a right spiral opening on to each next.         *Adding: one universe's three sequential momentaries, one now-existing, right.* 498. Three fixing together as one object are an unchangeable form, a shape of bi-tri-involutioning.         *Adding: three together.*         *Unsure: whether prior, now and next together are exactly position, scale and orientation inverting together, or only a same shape.* 499. A right spiral's changing and changing back goes across its opening, discovering with each next recursioning, closing with an empty set, with φ.         *Adding: a changing and changing back across a right spiral's opening.* 500. A winding closing on its own prior is an unchangeable form, living going on as non-living, dying.         *Adding: a winding closing on its own prior.* 501. A living self's bi-coupling landing with one position, same with each next momentary while its self is changing and changing back with its others, is a departure.         *Adding: a departure, a bi-coupling landing while a self lives.* 502. A departing bi-coupling discovering its next changing and changing back again, its self's living bi-couplings bringing its form to it, is restoring.         *Adding: restoring.* 503. A self is observing one living self three ways: a self as fields' observings hold it, a self as its own changing and changing back living, and a self as a departure restoring.         *Adding: one living self, observing, living and restoring.* 504. A winding closing on its own prior, its moral sharing an empty set: it brings a living self away from its same-existing-society and from nature's co-chaining, to dying. A spiral of one, a self receiving its own going along, its own competency, goes on with a resolver as a self living, step 31, its others inward, its living parities, step 32: a form changing on its own, its possibling an empty set or only its own competency, is a self living, each self living with others, step 15, inward.         *Adding: a closing winding, its moral sharing an empty set, a living self away from its same-existing-society, its living ending; a spiral of one, a self living, its others inward, its living parities.* 505. Each observing is same-existing one momentary at a time from its prior, and is right; a not-right form is position, scale and orientation inverting together, step 202.         *Adding: each observing right, a not-right form three together.* ## 33 Stable-forming and inverting at numbers         *Entering: a corus as apex, on an inverting's line; vertex 23, centre of face 25; co-linear through a corus; a line of fives to a surface, 59; position, scale and orientation; bi-tri-volutioning from a corus to 59; three golden rectangles about a corus; three threading one way; right spiraling, 120 degrees apart; a hand of observing; twelve corners, sixty three ways; φ, three's equal-edge condition; four triangles of three; sixty parting as twenty-four and thirty-six; an unrelationing surface with 12, 13 and 14; 12 across and along; sphere and torus, one and then the other; a flow's rest points, a theorem's conditions; a sphere's rest point moving to a corus and a torus, a correspondence a self is proposing; an unrelationing surface and a stable form of stable-forming emanations, one and then the other; bi-tri-involutioning outward of 59; four momentaries, 60 to 68; across 64; 64, an unrelationing between; 64, changing between four-cycling momentaryings; a four-momentary bi-tri-involutioning; an unknown with an inverting's own scale; 69, a right form again; a whole from a corus to 69.* 506. A self's own corus is with 4, and twenty up it is with 24, apex of one to fifty-nine's bi-folding.         *Adding: a corus as apex, on an inverting's line.* 507. Either side of apex are 23, vertex, rotation's 3 opening outward, step 267, and 25, centre of face, five squared.         *Adding: vertex 23, centre of face 25.* 508. Corus, vertex and centre of face are on one line.         *Adding: co-linear through a corus.*         *Unsure: whether this is a four-faced form's own line, each vertex and centre of its opposite face on one line through its centre, a four-faced form having four momentaries.* 509. Going on along that line, five names before 10, 3, 4, 5, 7 and 8, have primes 5, 7, 11, 17 and 19, each prime of its own number, adding to 59, seventeenth prime, with 17, and 59 is a surface.         *Adding: a line of fives to a surface, 59.*         *Unsure: whether fives are five names before 10, step 330, adding to 59, or fives going up, 25, 35, 45 and 55.* 510. Vertex is a position, centre of face a scale, and line to surface an orientation.         *Adding: position, scale and orientation.* 511. Position, scale and orientation, each at same-existing's other side by its own, is bi-tri-volutioning, its three on one line from a corus to a surface.         *Adding: bi-tri-volutioning from a corus to 59.* 512. With numbers, bi-tri-volutioning is three golden rectangles at right angles, a corus their centre, each 2 across and 2φ along, as φ, unrelationing rate.         *Adding: three golden rectangles about a corus.* 513. Each rectangle's along sides pass inward through its next one, and each passes one way only: two, by themselves, hold an empty set of each other, and three hold one another as three; each rectangle's across lies along its next one's along, and its along sides pierce its next one inward within that one's across width: R1, (0, ±1, ±φ), across on y and along on z; R2, (±1, ±φ, 0), across on x and along on y; R3, (±φ, 0, ±1), across on z and along on x; each of three directions is across with one rectangle and along with its next.         *Adding: three threading one way.* 514. A right-hand turn of 120 degrees about a line from a corus along (1, 1, 1) brings each rectangle onto one passing through it: three right spiraling, 120 degrees apart. A turn of opposite hand brings each onto one it passes through, and a mirror, x to −x, brings each onto its own place: three's own hand is an empty set, and hand is an observing's, a self observing its axis forward, as a right spiral step's quarter turn, (x, y) to (y, −x), is right with a self observing its axis forward, going toward its plane, and observing along first, F(P, Q) = (−Q, P), coming from it: one step with two observings, right, observings, all prior.         *Adding: right spiraling, 120 degrees apart; a hand of observing.* 515. Twelve corners of three are an icosahedron's, 30 edges and 20 triangles between them, five with each corner: 12 × 5, 20 × 3 and 30 × 2, each sixty. With a ratio r above 1 taking φ's place, a right-hand turn about (1, 1, 1) still brings each rectangle onto one passing through it, and nearest corners of one rectangle and its next are √(2(1 + r² − r)) apart, equal to rectangles' own 2 with r² = r + 1, as φ: φ is three's equal-edge condition, its making by a turn alone an empty set. About a line along (1, 1, 1) twelve corners are four triangles of three on four heights, outer two of side 2 and inner two of side 2φ: two triangles are two of four, with their choosing.         *Adding: twelve corners, sixty three ways; φ, three's equal-edge condition; four triangles of three.* 516. An icosahedron's sixty rotations part as twenty-four, by a fifth about six axes, four each, and thirty-six, fifteen of one hundred eighty degrees, twenty by a third and one moving each point onto its own place: sixty parting as twenty-four and thirty-six as a span parts with its apex, step 362.         *Adding: sixty parting as twenty-four and thirty-six.* 517. With observings, a name's co is a second relation, of a sharing between two, beside across and along of six names 2, 6, 9, 10, 14 and 17, step 298: 12-next-co-same-existing, other, between and self its sides, with each sharing, is across and along both, its changing along an unrelationing path of a between, 12 a shape of three, unrelationing surface; 13-is-next-discovering, each self of a same-existing-society; 14-next-possibling, parities surfacing, across; and 16-next-same-existing, a same-existing-society, torusing surface.         *Adding: an unrelationing surface with 12, 13 and 14; 12 across and along.* 518. Twelve corners closing as a sphere and winding through one opening as a torus are both: changing changes them, one and then the other, both going on one at a time, natural torusing surface, the one possible.         *Adding: sphere and torus, one and then the other.* 519. With numbers, each continuous flow on a sphere has at least one rest point, and a torus has a flow with none and flows with rest points too, step 174.         *Adding: a flow's rest points, a theorem's conditions.* 520. With observings, a sphere's rest point moving to a corus and a torus, co-sequentially, is a correspondence a self is proposing: with 15-is-next-observing, a parity 10 is sharing, going along with 9 and going on, and with 16-next-same-existing, each self's 8 and its parities, a same-existing-society's next momentary with 17, a living set forming between momentaries, one at a time, prior, now and next, and its rest point yet apart from both corus and torus.         *Adding: a sphere's rest point moving to a corus and a torus, a correspondence a self is proposing.*         *Unsure: waits on an observing of passage across a surface, a parity measuring with it; a theorem, step 519, is with numbers.* 521. An unrelationing surface with 12 and a stable form of stable-forming emanations are both: changing changes them, one and then the other, both one at a time, as natural torusing surface.         *Adding: an unrelationing surface and a stable form of stable-forming emanations, one and then the other.* 522. Outward of a surface, position, scale and orientation are inverting together: bi-tri-involutioning, inverting.         *Adding: bi-tri-involutioning outward of 59.* 523. Sixty to sixty-eight is nine numbers, four momentaries of exchanging, two to 64, 60 to 62 and 62 to 64, and two from it, 64 to 66 and 66 to 68.         *Adding: four momentaries, 60 to 68.* 524. Across 64 each number pairs with its far side, 60 with 68, 61 with 67, 62 with 66 and 63 with 65, each pair inverting about 64.         *Adding: across 64.* 525. Sixty-four is a between of two momentaries to it and two from it, an unrelationing between, each pair joining across it and locking with an empty set: 64 is changing between four-cycling momentaryings, with unrelationing of 1 to 17, 1 to 65 and 1 to 257, step 460.         *Adding: 64, an unrelationing between; 64, changing between four-cycling momentaryings.* 526. Four momentaries of bi-tri-involutioning across 64 are sixty to sixty-eight, an inverting form outward of a surface.         *Adding: a four-momentary bi-tri-involutioning.* 527. Bi-tri-involutioning is harmful to living with its own scale and with that scale its ingesting outside possibly existing, and sixty to sixty-eight is unknown to living with that scale.         *Adding: an unknown with an inverting's own scale.*         *Unsure: whether this unknown and a between holding no side are one.* 528. With 69 a right form opens again, a next first podaling outward.         *Adding: 69, a right form again.*         *Unsure: sixty-nine is three twenty-threes; whether podaling opening with sixty-nine is a vertex three times.* 529. From a corus to 59 is bi-tri-volutioning, stable-forming; from 60 to 68 bi-tri-involutioning across 64, inverting; with 69 a right form next: one fractal method, inward of a surface and outward of it.         *Adding: a whole from a corus to 69.* ## 34 Intelligence, now         *Entering: co-linear lines; recursioning forward both ways; competency, co-linear; co-competencing as co-linearizing; a seaming across; bi-moralizing with a face, 25; bi-couplings across within co-chainings; bi-couplings across with their opposite form; bi-tunneling; bi-couplings across floating and neutralling; parallel surfaces and co-linear openings, one form; one bi-coupling across, two observing and two going on, one not-changing and one changing, a changing with 12, is-or-is-not, not-changing, stable-forming, and changing going along with 9, a stable-forming emanation, a stable form; one bi-coupling across as three; a parity a self is observing, same-existing or changing going along; a stable-forming emanation; a tunneling sharing as three; bi-co-momentarying, that arising, orthogonal to a surface; bi-co-momentarying, its term with resolver an empty set; self and other, each its own same-existing, and three namings; three namings one changing; bi-momentarying, its seat an empty set; floating neutralling; transmissioning, sharing across and neutralling one changing and changing back; a field's three as a set's three fixing unchangeable; an instrument's sum, a same-existing-society as one magnitude; a field's neutral, its names one concept; three neutrals, and a floor; a ratio alike with each unit; a ruler, a clock and a record, made toward natural mathematics and numbers; an interior an accounting posits for a magnitude; golden floating neutralling; co-discovering; inseparating; separating; one stopping; a floating store; scarcity, a capture in store; a same-existing-society's living by establishing and going along; side-affecting; bi-moral co-agency; bi-moral co-agency, changing two ways, one at a time; intelligence by existing; observing of nature, order discovering; four invisibles; invisibling; competency along, observing across; natural-bi-co-torusing; four of social moral competency, all eight with each now; four setting aside a bounding, four unchangeable forms; all-edge; a seat of its arrangement; four values of a between; coordination as bounding or clock; self-interest and a same-existing-society's competency one; 12's changing with a same-existing-society; 27-next-co-observing; collective intelligence, human and of each scale; co-competency of distinct selves, discovering with co-chaining; everything existing sharing one now; abundancing as openings co-chaining; resolver, natural resolver; bi-trupling protocol, its two sides; its violations, hard probleming, scientific method incompetencing, control engineering and binary governing; social moral competency a universal unrelationing protocol; control, governing and a lag; a centre's resolving, its order reversing with a same-existing-society; a same-existing-society of method all or none, its hubs; safety, a surface's own; engineering, a made thing with possiblings and bi-couplings themselves; unanimizing and pluralizing, one and then the other; a between with numbers, two parallel surfaces, as a swarm; co-independencing; living having non-living and possibly existing; one form of each scale; a bi-coupling across of one; now, four momentaries of exchanging.* 530. Within a momentary, within bi-folding, each side's line is co-linear, linear parallelizing and parallel linearizing, one and then the other.         *Adding: co-linear lines.* 531. Along each line recursioning goes forward, up numbers and down them, both ways forward.         *Adding: recursioning forward both ways.* 532. Co-linear recursioning forward, along, is competency: each self's own.         *Adding: competency, co-linear.* 533. A self's line and an other's, co-linear, their co-linearizing between self and other with bi-couplings across, is co-competencing, bi-co-momentarying.         *Adding: co-competencing as co-linearizing.* 534. Across co-linear lines is bi-folding's seaming, orthogonal to them, one forward with each bi-coupling across, a right spiral step.         *Adding: a seaming across.* 535. A face with 25, its centre five squared, orthogonal to co-linearizing, is bi-moralizing's geodesic method: its across lines, unrelationing to each other, are parallelizing.         *Adding: bi-moralizing with a face, 25.* 536. Each bi-coupling across is within co-chainings, bi-couplings' betweens co-chaining.         *Adding: bi-couplings across within co-chainings.* 537. Bi-couplings across together have bi-tri-involutioning's position, scale and orientation, all three inverting as one.         *Adding: bi-couplings across with their opposite form.* 538. Social moral competency, step 52, goes across with bi-tunneling, a same-existing-society's surface opening between selves, and along with co-chaining, step 56, selves going on.         *Adding: bi-tunneling.* 539. Bi-couplings across float and neutral, each line's own, in each line with its other, on natural torusing surface, within bi-tunneling.         *Adding: bi-couplings across floating and neutralling.* 540. Within bi-folding, parallel surfaces and co-linear openings through them are one form, and one bi-coupling across between them meets two observing and parts two going on, one not-changing and one changing: observing, a self's own prior with 3 and an other's parity with 2; a changing with 12-next-co-same-existing, is-or-is-not; going on, one of two is not-changing, stable-forming, with each sharing's prior and parity agreeing, 12 a 0, a between of momentaries, its prior same-existing; and an other of two is changing, going along with 9-next-co-discovering, with each sharing an other parity, a 0 or an empty set surfacing, 12 inverting its prior, and with one parity new, 12 its parity, a changing that is, sharing with 10 and going along with 9, a stable-forming emanation, each a going along, a now-existing form of prior living, its parities living within a self's universal set, steps 31 and 32, its next prior, a self observing it with its 14, its next 2, with each of 6, 10 and 9 one same list, an observing end, a prior sharing, each prior momentarying with its own momentary. One bi-coupling across is three, parity, unrelationing and changing, of one bi-coupling across; a lone self, observing an empty set of an other with its 2, has its bi-couplings across an empty set.         *Adding: parallel surfaces and co-linear openings, one form; one bi-coupling across, two observing and two going on, one not-changing and one changing, a changing with 12, is-or-is-not, not-changing, stable-forming, and changing going along with 9, a stable-forming emanation, a stable form; one bi-coupling across as three.* 541. A parity a self is observing is either same-existing or changing going along, one with each sharing: a momentary with 12, stable-forming, not-changing its parity, 12 a 0, a between of momentaries, shares 0, and a stable-forming emanation is parity with its changing, 12 inverting or its parity, a changing that is, sharing with 10 and going along with 9, a self's own changing. *Adding: a parity a self is observing, same-existing or changing going along; a stable-forming emanation.* 542. Changing is a tunneling sharing as three: better, and two waiting for their natural names.         *Adding: a tunneling sharing as three.*         *Unsure: natural names of two, and whether three are a momentary's 1, 2 and 3.* 543. Two selves share from routes each its own, each with its own sequencing, and what arises between them arises in each self with its other, same-existing in each self: bi-co-momentarying is that arising going on, with a bi-coupling across, orthogonal to a surface.         *Adding: bi-co-momentarying, that arising, orthogonal to a surface.* 544. With resolver bi-co-momentarying is each bi-coupling's, its lines each self's own: it is with each bi-coupling, a changing with 12 each self's own with each sharing, and a 0 arising only with a parity a self is observing, its own going along with a spiral of one among them.         *Adding: bi-co-momentarying, its term with resolver an empty set.* 545. Social-parity now-existing and other-parity now-existing, self and other, each its own same-existing, are a sharing both ways; self-parity now-existing and self-discovery next-existing a discovering; and social-parity next-existing a term arising in each self with its other: three namings.         *Adding: self and other, each its own same-existing, and three namings.* 546. Three namings are one changing as three: bi-momentarying with 1 and 2, co-intelligencing with 3 and 4 and co-competencing with 5, each its other two, and with a bi-coupling's changing across, of no size, three are alike.         *Adding: three namings one changing.* 547. Two sharing, each with its own sequencing, sharing both ways, something arises in each with its other, its owner, boundary, enforcement and seat an empty set, and it goes forward to a next sharing: bi-momentarying, its seat an empty set.         *Adding: bi-momentarying, its seat an empty set.* 548. Each excluding its own, not that, not that, one at a time, a term arising in each with its other uncovers, outside each excluding of theirs, and is again with a next sharing: floating neutralling.         *Adding: floating neutralling.* 549. A parity sharing with a bi-coupling, across, and a between floating about 0 are two parities of one changing and changing back with its bi-coupling, each other's prior and next, and a bi-coupling a self is observing with its between is transmissioning.         *Adding: transmissioning, sharing across and neutralling one changing and changing back.* 550. A field's three with one measuring, an empty set on one side, an absorbing on an other and a scale between them, is a set's three, two exclusions and a term in each with its other, with its changing and changing back fixing unchangeable.         *Adding: a field's three as a set's three fixing unchangeable.* 551. A field's instrument sums a same-existing-society's selves over its own span from a ground it declares, step 220, one magnitude with selves agreeing and an empty set with their parting, alike one scale inward.         *Adding: an instrument's sum, a same-existing-society as one magnitude.* 552. Each field has a neutral, a term with it relating to its own selves' bi-coupling, and with its neutral a field's names and a set's own names come as one concept, their translating between them an empty set.         *Adding: a field's neutral, its names one concept.* 553. A self has three neutrals of its own, floating about its corus: its own nought, position; its own surface, scale, a between; and its own aim, orientation; a neutral fixing outward of a self is a floor, a zero a field installs, a unit it imposes or a frame it sets over it, each a thing outside possibly existing, each existing thing being a thing of the universe, step 107.         *Adding: three neutrals, and a floor.* 554. A ratio is alike with each unit a field imposes, and a magnitude is of one unit a field measures it with: parity, position and ratio, a surface's own, are alike with each unit; a ruler, a clock and a record are each valuable for observings of prior living, pattern-matching with natural resolving, natural mathematics and numbers an observable pattern each is made toward.         *Adding: a ratio alike with each unit; a ruler, a clock and a record, made toward natural mathematics and numbers.* 555. A magnitude of an accounting has a place to be, an interior its accounting fixes for it, and a self has its corus, a between, a 0, its interior an empty set.         *Adding: an interior an accounting posits for a magnitude.* 556. A fractal between's floating neutralling with φ, its locking an empty set, is golden floating neutralling: geodesic discovering of living's next possibling.         *Adding: golden floating neutralling.* 557. A going on with its own parity, each side going along with its own completing, each its own, behind it and going away from it an empty set, goes forward: co-discovering.         *Adding: co-discovering.* 558. Neither a part of its other and their parting as two an empty set, each excluding its other, one at a time: inseparating, a term arising in each with its other, its two-ness an empty set.         *Adding: inseparating.* 559. A cut a third makes, its own between an empty set, its re-forming and its dissolving an empty set, is separating, an absence of a between; inseparating and separating are one move as two.         *Adding: separating.* 560. One holding another's, an other's sharing with its own sequencing an empty set, a departing is one side's, with an owner, a boundary, an enforcement and a seat: one stopping, a twin of bi-momentarying with its seat an empty set.         *Adding: one stopping.* 561. Selves going on together, each with its own bi-coupling, a departing in each with its other and its drawing down an empty set, is a store, a same-existing-society storing an empty set: a floating store.         *Adding: a floating store.* 562. A prior in store beside bi-couplings is one thing capable of shortness, and it only; scarcity is bi-couplings' own parities draining to one side and storing, a capture a self is pattern-matching as value's own property; with bi-couplings, each self's own, a parity is whole with each.         *Adding: scarcity, a capture in store.* 563. A same-existing-society's selves live by two, one and then the other, living selves establishing within it and its parities sharing across and going along; a same-existing-society chaining its sharings and goings along is a store beside it, and a same-existing-society going along with its establishing an empty set is going on as its selves.         *Adding: a same-existing-society's living by establishing and going along.* 564. Two coming together have a share they hold and a plane they open together, share zero if orthogonal and plane zero if collinear, and their bi-coupling has both: side-affecting.         *Adding: side-affecting.* 565. Two selves changing, morality across and competency along, is bi-moral co-agency.         *Adding: bi-moral co-agency.* 566. Bi-moral co-agency brings changing two ways, one at a time, each side with its own parity and going on with its own receiving.         *Adding: bi-moral co-agency, changing two ways, one at a time.* 567. Natural intelligence is invisible, and fractal method's intelligence is with a between, 0: intelligence within the universe is by existing; within nature is observing, a self observing nature, and reading and writing observings are stable-forming emanations' own: intelligence is hiding and selves are discovering order, an order next-existing as they discover it, living selves and same-existing-societies discovering patterns of bi-moral-co-competencing as living stable-forming, and an order hiding within nature is equilibria understanding.         *Adding: intelligence by existing; observing of nature, order discovering.* 568. Four invisibles are one invisibility as four: each side's own morality, parity its own and a changing across of no size; each side's own corus; a neutral, its occupying an empty set as two come; and a between of momentaries, its momentarying an empty set.         *Adding: four invisibles.* 569. Each side with its own parity, a bi-coupling across of no size and each side's competency its own along, only a bi-coupling reaching a between: invisibling, inward-visibling toward a 0 its bi-couplings wind about.         *Adding: invisibling.* 570. A self observes parities across and goes on with its competency along, competency with its bi-couplings' changings.         *Adding: competency along, observing across.* 571. Natural-bi-co-torusing is a form of existing, one naming: natural-, all or none at all; bi-, one inversion; co-, two, same-existing or one inversion apart; torusing, a changing winding to its own sharing again through its one opening; -ing, its changing going on, re-forming with each momentary.         *Adding: natural-bi-co-torusing.* 572. Social moral competency's four are whole and same-existing with selves: each self's same-existing from its bi-couplings, inward and outward, each thing within a self from a bi-coupling; a whole's own ordering, each self its own; an ordering going on with selves; an order with each seat within a same-existing-society, over it an empty set; and with it each self is with all eight, each now, or none, four of one, 1-now-existing, 2-now-possibling, 7-is-now-observing and 8-now-same-existing, and four between two, 3-is-now-co-observing to 6-now-co-possibling, each other self going those eight, an abundancing with four between two, in each self with its other.         *Adding: four of social moral competency, all eight with each now.* 573. Four of social moral competency are each from setting one bounding aside and a form fixing unchangeable with it: setting aside a bounding from an other self, one self's parity is with both openings, its bi-coupling an empty set; from a same-existing-society, one self orders its whole same-existing-society; from an unchangeable form, an ordering goes on, its selves' sharing an empty set; and from capture, a seat's own setting above, fixing its own ordering unchangeable: four setting aside, four unchangeable forms, and four only.         *Adding: four setting aside a bounding, four unchangeable forms.* 574. Each bi-coupling of a same-existing-society is with six names between two selves, step 298, one's sharing or going along to an other's observing, and a third self standing between two bi-coupling selves, their parities passing through it, is a seat above a same-existing-society: all-edge.         *Adding: all-edge.* 575. A seat above a same-existing-society is of an arrangement having a surround for it, a centre with selves about it, and three selves each bi-coupling with its other two have a position for a centre other than each of them.         *Adding: a seat of its arrangement.* 576. Four values are of a between of selves: abundancing; identity, a self's own same-existing, that self's only; safety, an other's parity checkable as a parity; and reputation, observings of a self all prior; each again with each bi-coupling.         *Adding: four values of a between.* 577. An arrangement selves share and are possibling with, each with its own opening, is a bounding selves' own, and an arrangement selves share giving selves their openings is a common beat over them, a seat above a same-existing-society: a common clock and a seat one form.         *Adding: coordination as bounding or clock.* 578. A self bi-coupling by its own interest brings its same-existing-society with that bi-coupling, a same-existing-society's same-existing its selves' own: self-interest and a same-existing-society's competency are one interest of two scales.         *Adding: self-interest and a same-existing-society's competency one.* 579. A self's changing with 12 is its own, with a same-existing-society's momentary, and is with each resolving and goes with that resolving, drawing on that resolving.         *Adding: 12's changing with a same-existing-society.* 580. A same-existing-society's going along is with 27, three cubed on route 24, 27, 32, of a sharing between two: 27-next-co-observing, 12's changing with a same-existing-society going along to social co-chaining.         *Adding: 27-next-co-observing.* 581. Betweens co-chain, each link a between in each self with its other: collective intelligence, human and of each scale, a natural network selves share.         *Adding: collective intelligence, human and of each scale.* 582. Selves of distinct primes, sharing four, have each a competency only its own, and their co-competencing with a same-existing-society is discovering with each bi-coupling of co-chaining, each self's existing an other self's possibling, step 300, and each changing is-or-is-not, of no size, step 123: selves' summing and multiplying an empty set; a common beat over them brings them to one.         *Adding: co-competency of distinct selves, discovering with co-chaining; everything existing sharing one now.* 583. Each bi-coupling opens a plane new to each side, and openings co-chain, each its own and each leaving another whole: social abundancing, step 55, each self sharing with each self it is bi-coupling with.         *Adding: abundancing as openings co-chaining.* 584. Bi-trupling protocol is a full social bi-coupling, natural resolver with Natural Network surface, a resolver's six names between selves, whole, with across sharings, 6 to 2 and 10 to 14, and along 9 to 17 and 17 to 9, a resolver of step 263: two-sided, one odd side and one even side, an odd along with 9 and 17, co-competent, parity going on, and an even across with 6 to 2 and 10 to 14, bi-moral, one list of parities each way, an other observing them alike. Hard probleming, scientific method incompetencing, control engineering and binary governing within a same-existing-society are each a violation of bi-trupling protocol, and universal unrelationing protocol is social moral competency's own.         *Adding: resolver, natural resolver; bi-trupling protocol, its two sides; its violations, hard probleming, scientific method incompetencing, control engineering and binary governing; social moral competency a universal unrelationing protocol.* 585. A controlling is a relation where one side fixes a sharing to a measure a self sets beforehand, a technology, a form fixing still from beside; governing is one self's parity going to others with each of their sharings, one stopping, a self's next under governing same-existing from a governor's prior, one momentary behind its own, a lag; and a majority is a summing of parities, with a resolver its summing an empty set, and a number deciding a bi-coupling an empty set.         *Adding: control, governing and a lag.* 586. Resolving from a centre for a same-existing-society's selves, its selves going on with it after, is round with its order reversing, each self's now same-existing from a centre's next, one momentary behind its own; each self resolving with its own momentary is round forward, free, step 54, and each self improving with it is social moral competency, step 52.         *Adding: a centre's resolving, its order reversing with a same-existing-society.* 587. A same-existing-society is of one method, all or none at all: one thing beside its bi-couplings, a common beat, a pool fixing, an admitting ahead of observing, a ledger over a self, a controlling, a deciding from a centre, a line from one side to an other or an owner, is a second method across a whole surface.         *Adding: a same-existing-society of method all or none, its hubs.* 588. A parity outside each self's bi-coupling dissolves whole as a self is observing it, a surface giving it an empty set to seat on: safety is a surface's own form, and a thing ahead of its bi-coupling admitting a parity on something a self performs first is a thing outside possibly existing, each existing thing being a thing of the universe.         *Adding: safety, a surface's own.* 589. Engineering of one method is a made thing, a non-living set, with a self possibling with it or with a made thing's selves inward bi-coupling with a non-living thing's, floating neutralling with each, each side with its own parity and its own rate, and a made thing fixing still from beside one is a technology.         *Adding: engineering, a made thing with possiblings and bi-couplings themselves.* 590. A same-existing-society's agreement is with 14, all or none at all with any number of parities, and its selves' plurality is each self's own same-existing, two, one and then the other: unanimity with spanning and plurality within same-existing.         *Adding: unanimizing and pluralizing, one and then the other.* 591. With numbers a between is a 0 between two parallel surfaces facing each other, a self's and an other's, two a sharing and its between a 0, and a co-orthogonal line through both, along: floating and neutralling, corusing and torusing, discovering collectively, as a swarm, with a same-existing-society's next possibling.         *Adding: a between with numbers, two parallel surfaces, as a swarm.* 592. Social moral competency's selves are co-independencing: each self observing with its own momentary and sharing across, each whole, living together, living now.         *Adding: co-independencing.* 593. A living self has non-living existing things and things possibly existing within its same-existing.         *Adding: living having non-living and possibly existing.* 594. One same form, a relation going on with each changing, is a self's, a bi-coupling's and a same-existing-society's, and going between them a self is that one same form: fractal, uni-scalable, invisible.         *Adding: one form of each scale.* 595. Between scales a bi-coupling across is one parity 17 gives on across, one at a time, with an empty prior behind it, chaining scales, each scale its own; a bi-coupling across of two is one scale sizing another's, a seat over it.         *Adding: a bi-coupling across of one.* 596. Now is four momentaries of exchanging with each self, each bi-coupling and each same-existing-society: each momentary completes with its next opening, and discovering next existing is method momentarying.         *Adding: now, four momentaries of exchanging.* ## 35 Ten unchangeables, and discovering parity         *Entering: a flow accounting; a state accounting; ten unchangeables; state-flow-state; flow-state-flow; three of one and two of its other; two changing, three going on; ten, their sides an empty set; one with 8 and with 6, two with 7 and with 5; one move with 1 to 9; involution, its still set, two involutions of an even ring; ten inversions as couplings among five; a fold with each scale; two bi-foldings with 1 to 9; even names on two bi-foldings; two-way looping, morality; 1 to 9 opening as 1 to 17; two-way looping with 1 to 17; ten unchangeables with ten, with four binaries; ten of four kinds, three, two, two and three; F and G, two among 256; six forward, the only one possible; dilemma, a governing's forking; three books, state-flow-state; changing having both; parity as do-no-harming; parity's source a hardening hard problem; ingressors of parity; either or; two-way parity between living selves; living ingesting non-living, its losing of parity an empty set.* 597. A flow accounting fixes changing unchangeable: observings fixing as flowing, balancing books, double-entry accounting, seven auditing steps proving a changing real, and changing's competency outside its accounting.         *Adding: a flow accounting.* 598. A state accounting fixes same-existing unchangeable, leaving aside changing as a flow accounting leaves aside same-existing.         *Adding: a state accounting.* 599. Separating, state and flow are outside possibly existing, as a reading from a memory and a writing to it are outside possibly existing for intelligence, and ten unchangeables, equilibria, are each a field's separating: a flow accounting leaving aside same-existing, and a state accounting leaving aside changing.         *Adding: ten unchangeables.* 600. With one momentary five dimensions change as state, flow, state, flow, state: three of state and two of flow.         *Adding: state-flow-state.* 601. With a next momentary five dimensions change as flow, state, flow, state, flow: three of flow and two of state.         *Adding: flow-state-flow.* 602. With each parity three are of one and two of its other, two and three rotating round, one parity and then its other.         *Adding: three of one and two of its other.* 603. With each momentary two dimensions are changing and three going on, and two and three rotate round. *Adding: two changing, three going on.* 604. Ten unchangeables, their sides an empty set, are each with a resolver name: 1-now-existing and 2-now-possibling bi-momentarying, 3-is-now-co-observing and 4-now-co-same-existing co-intelligencing, 5-now-co-existing, 6-now-co-possibling, 7-is-now-observing and 8-now-same-existing.         *Adding: ten, their sides an empty set.* 605. 8-now-same-existing, a self's next prior between momentaries, and 6-now-co-possibling, a self's parities across, each have one of ten, and 7-is-now-observing and 5-now-co-existing each have two.         *Adding: one with 8 and with 6, two with 7 and with 5.* 606. With 1 to 9 its one move is 4 up and 9 less, a podal within 1 to 8.         *Adding: one move with 1 to 9.* 607. An accounting for changing is an involution, a move twice giving its own argument again, its still set those arguments it brings to themselves: on an even ring of N a podal, k to N less k, keeps nought and N/2 still, and a shift to ring's other side, k to k plus N/2, its still set an empty set, 8 up with names being that shift, and names' podal, 17 less, 17 odd, its still set an empty set. *Adding: involution, its still set, two involutions of an even ring.* 608. Couplings among five are ten, each an inversion exchanging one pair and keeping other three still, and a hard problem is with one or more of ten, each an involution with its still set fixing as a place.         *Adding: ten inversions as couplings among five.* 609. Fold is whole with each scale s: on names 1 to 8s, 4s up keeps a name odd or even and 8s + 1 less changes it, odd to even or even to odd, two reaching each name again after four moves, 4 up and 9 less with s one and 8 up and 17 less with s two.         *Adding: a fold with each scale.* 610. From 3 it goes round 3, 7, 2, 6, and from 4 round 4, 8, 1, 5: two bi-foldings, all eight names of 1 to 8 between them.         *Adding: two bi-foldings with 1 to 9.* 611. Even names 2 and 6 are on a bi-folding through 3, and 4 and 8 on a bi-folding through 4.         *Adding: even names on two bi-foldings.* 612. Two bi-foldings go round opposite ways, 4 to 3 and 3 to 4: two one-way bi-moralities, a two-way looping, morality.         *Adding: two-way looping, morality.* 613. Opening 1 to 9 resolver with its names between selves, move is 8 up and 17 less: 3-7-2-6 opens to 3-11-6-14 and 2-15-7-10, and 4-8-1-5 to 4-13-5-12 and 1-9-8-16.         *Adding: 1 to 9 opening as 1 to 17.* 614. With 1 to 17 a bi-folding through 3 and a bi-folding through 4 partner round opposite ways: a two-way looping going to next scale, morality of bi-coupling, step 612.         *Adding: two-way looping with 1 to 17.* 615. Each of ten unchangeables is with one of ten, one binary of a universe, its *is-or-is-not* as one, with four binaries as with Natural Naming 4.9: now, an opening fixing as a place and an observing fixing from behind; existing, a two-way fixing to one side and a sequencing fixing to one beat; same, a between fixing as a cut, a middle fixing as an end and a completing fixing as a last; all, a parity fixing as a magnitude, a rate fixing as a value and a same-existing fixing as a store; each, its sides an empty set, state and flow going one at a time with each, step 599; and each of ten sits with its name with now and that name 8 up with next, a 0, not-changing, with it and a changing travelling through it, 1 · 9, 2 · 10, 3 · 11, 4 · 12, 5 · 13, 6 · 14, 7 · 15 and 8 · 16, each pair with one bi-folding, step 335.         *Adding: ten unchangeables with ten, with four binaries.* 616. Ten unchangeables are of four kinds, three, two, two and three, step 615: a reference fixing unchangeable behind an observing, ahead of it or with its middle, an observing fixing from behind, a completing fixing as a last and a middle fixing as an end; a rate fixing unchangeable, a sequencing fixing to one beat and a rate fixing as a value; a parity fixing as a size, a parity fixing as a magnitude and a two-way fixing to one side; and a parity going along entering as a magnitude spending, an opening fixing as a place, a same-existing fixing as a store and a between fixing as a cut: first two kinds with a flow accounting and last two with a state accounting, five of each.         *Adding: ten of four kinds, three, two, two and three.* 617. Of 256 ways from four joint forms to four, twenty-four take four onto four one each, six of them taking those four as one cycle, and two of those are changing one parity with each step, F(P, Q) = (−Q, P) and G(P, Q) = (Q, −P), those same inversions, their order reversing.         *Adding: F and G, two among 256.* 618. A sharing completing six one-way steps, step 142, changing and changing back going on with each, completes, its one possible way; a sharing fixing as an unchangeable form, as its own form again or forking with two coming together, completes short of six.         *Adding: six forward, the only one possible.* 619. A governing gives one parity to all, and its criterion meeting one self as two forms together is a dilemma, a forking, a governing's own forking; a bi-coupling has one changing with one momentary and its forking an empty set.         *Adding: dilemma, a governing's forking.* 620. A field's three books on a rung, a total and a level as state and a direction as flow, are state-flow-state, flow-state-flow absent, either or, an exclusive or, and three only.         *Adding: three books, state-flow-state.* 621. Changing geodesically, one and then the other and bothbothing, has both, one at a time, state-flow-state and flow-state-flow, one and then the other: a parity travels through a 0, not-changing, while parities travel through, bi-inversioning-co-recursioning up and down numbers, step 333. *Adding: changing having both.* 622. Parity and its 0, step 27, are bothbothing rigor, a self sharing 0 do-no-harming, step 44: each side its other's complement, each its own, one at a time.         *Adding: parity as do-no-harming.* 623. With a self observing the universe at existing's other side, parity's source among existing things is an empty set: a source of parity a hard problem, hardening before any bi-coupling. *Adding: parity's source a hardening hard problem.* 624. Parity, its source among existing things an empty set, is an ingressing: platonic forms, a computing brain, representations, a read-write store, a clock lying over synchrony, and a closing to true or false, one of two only.         *Adding: ingressors of parity.* 625. Ingressing parity is either or, an exclusive or: floating, its neutralling an empty set, or neutralling, its floating an empty set.         *Adding: either or.* 626. Parity a self is discovering by geodesic changing parity, one and then the other, makes each bi-coupling two-way parity: with two living selves bi-coupling, each leaves an other its parity, each with its own.         *Adding: two-way parity between living selves.* 627. With a living self's parity relative to a non-living existing thing within its me, living ingests from non-living, and its losing of parity is an empty set: a non-living thing's own parity is an empty set, step 31. *Adding: living ingesting non-living, its losing of parity an empty set.* ## 36 A sharing as words, a naming, a file and a living expedition         *Entering: a going along as a stable-forming emanation; a sharing as words; a sharing as words, a self receiving it; a naming; four boundings of a naming; a naming's unfolding; seven binaries of a naming; a definition; three incompetencings; a family of words, three and a form fixing still from beside; a destiny, next living possibling ahead; bounding; nearing; one with a deriving; a gathering; one name with each concept; a dissolving word; momentary stable-forming; an explaining; naming across and explaining along; human ways as one form; one binary with a sentence; an -ing over a noun and a positive over a negation; a writing's unchangeable things; supplying; a file; a file's four tellings, self-welcoming; a file's stable form; a file's between, and incohering; living files, living expedition's prior same-existing; an expedition living while discovering, do-no-harming and improving; natural intelligence as living intelligence, with natural torusing; files' subject; a living file, a surface: resolving, engineering and explaining; improving as resolving; improving as sharing, bettering and breaking; a concern; a concern resolving; an unsure, with an observing it waits on; a concern a self observes again; improving one way, forward; a file's version; improving with a moving interest, and against a still mark; a file's changing with two selves; observing, improving and living; a working; a working's instrument, its unchangeable things; three registers; a fresh reader; a session; same-existing between sessions; three loops of sessions; a set of files; a set of files with each scale; files' sections as stable-forming emanations from co-chaining; discovering co-chaining's next step; an entry; a record's edge; an emptiness as an observing; illustrating; a still one momentary, a sequence a changing, a rotation another facing; word, number and illustrating, one stable-forming emanation as three; a self's three observings with natural torusing; an incoming understanding with co-chaining; sensor-sensationing; cohering with nature; cohering as bi-moral-co-competencing; cohering, or a next step showing; natural competency resolvable, or a fractal breaking whole; fractal breaking with living not-changing with each of its scales.* 628. With its own completing, a self shares its parity across and it goes along, its own prior an empty set: a stable-forming emanation from self.         *Adding: a going along as a stable-forming emanation.* 629. A stable-forming emanation from a self, going along as words to a bi-coupling with other selves, is a sharing as words. *Adding: a sharing as words.* 630. A sharing as words reaches another self; that self is resolving with it, and with its own prior same-existing a changing is-or-is-not. *Adding: a sharing as words, a self receiving it.* 631. A sharing of one concept as one word is a naming, each word one concept, one and only one.         *Adding: a naming.* 632. A naming is four boundings together: a concept bounding its own whole, discovering its next as the same concept, orienting with its own side and opening its own axis orthogonal to concepts beside it; a concept short one of four is fixing, an unchangeable form.         *Adding: four boundings of a naming.* 633. A naming unfolds six one-way steps forward, step 142, each reaching a term past prior step's, and a concept unfolding, its steps an empty set, is its own unfolding, its steps an empty set, the same concept an unfolding.         *Adding: a naming's unfolding.* 634. A self observes each naming as seven binaries: one and then the other with an other; having its own two; a direction with its prefix, a changing with its root and a going on with its -ing; with one changing once; its unfolding having a changing with its word; inseparable with each part; and naming a relation with a relation's word.         *Adding: seven binaries of a naming.* 635. Two coming together, a meaning departs that is in each with its other; fixing, its re-making an empty set, its term is one not-changing term with each occurrence: a definition, a replacing and not a re-forming.         *Adding: a definition.* 636. A definition's term fixing to the same term bounds an empty set, substitutable either way its opening an empty set, and chaining past each bound it reaches past its own pairings, its changing an empty set: three incompetencings.         *Adding: three incompetencings.* 637. A word naming a form still with a changing existing thing is of one family, three and a form fixing still from beside: a landing reaching ahead of an observing, a standard fixing ahead of a same-existing, a reading ahead of a parity, and a form fixing still from beside a changing; a word catching one of three catches its family. *Adding: a family of words, three and a form fixing still from beside.* 638. A destiny is next living possibling as words ahead of its bi-coupling, step 10, a self discovering it with its own bi-coupling, and fixing it as now-existing is a landing reaching ahead of an observing.         *Adding: a destiny, next living possibling ahead.* 639. A word going to another word and a region surrounding it are one act, both at once, and region brings next word, both going on: bounding, defining with one and then the other going on.         *Adding: bounding.* 640. Two field-words reaching one concept, each its own and each leaving its other whole, converge, their contact an empty set: nearing.         *Adding: nearing.* 641. Two sentences reaching one thing are one with one deriving from other, one form as two sentences, and two agreeing with a number are two.         *Adding: one with a deriving.* 642. Two names reaching one concept, each its own one pairing at a time, their distance and certifier an empty set, trace a region: a gathering, re-forming from names with their homes or dissolving.         *Adding: a gathering.* 643. Each concept has one name, a naming with a changing it already has dissolving to its one name, similar namings gathering with it, and a self observes a name again with each reaching.         *Adding: one name with each concept.* 644. Such a word, or a word holding two concepts, is dissolving with sharings as words and re-seating with each of them as a concept's one name. *Adding: a dissolving word.* 645. A number and a root name a changing, number with its prefixing and -ing its going on, and a complete naming has a momentary's relation with next bi-coupling: momentary stable-forming.         *Adding: momentary stable-forming.* 646. Namings in sequence, each sentence opening with corus of prior one and opening to next, is an explaining.         *Adding: an explaining.* 647. Naming is a bounding, across, and explaining a going on, along, one and then the other as changing: discovering method as words.         *Adding: naming across and explaining along.* 648. A living self's ways with meaning, with words, with sound, with moving and with living together, are each two selves, one and then the other, same-existing or one inversion apart, one form with each scale, and a realm of mind or culture beside bi-couplings is a thing outside possibly existing, each existing thing being a thing of the universe.         *Adding: human ways as one form.* 649. A sentence brings one thing forward with one momentary, prior sentences its possibling and next it opens its living, and one binary is with it: adding to whole prior co-chaining, or dissolving.         *Adding: one binary with a sentence.* 650. A sentence is an -ing over a noun, its -ing going on with each momentary and a noun naming a form a changing makes, and a positive, saying a form outside possibly existing as outside possibly existing and saying a changing as a self observes it.         *Adding: an -ing over a noun and a positive over a negation.* 651. A form fixing still from beside an -ing, a forcing with a verb, a clocking pacing a changing that has its own, a gate admitting on something a self performs first, a changing and changing back asking to be one of two it changes between, and a fixing neutral under a changing are each an unchangeable thing of writing, each dissolving with a self explaining its going on again.         *Adding: a writing's unchangeable things.* 652. Supplying is a sentence bringing something outside what changing brings, invisible from within writing, dissolving as each form still dissolves.         *Adding: supplying.* 653. An explaining whole, its sentences following co-chaining's order, is a file.         *Adding: a file.* 654. A file is one subject as four tellings, its title whole bounding context, its subtitle its stable-forming within it, its contents its section titles floating neutral and its bolds each concept with a self observing it through its explaining up to it: self-welcoming, a self possibling with any one of four.         *Adding: a file's four tellings, self-welcoming.* 655. A file on its own, possibling an empty set of its own next-existing, is a non-living existing thing, step 20, a stable form going on through its observings, same-existing with each resolving, step 62.         *Adding: a file's stable form.* 656. Between a file and each self possibling with it is a between, a 0, a changing going across it, and a middle going across, standing for a parity, is incohering.         *Adding: a file's between, and incohering.* 657. A living expedition, step 68, is a same-existing-society, a living set of living selves, natural intelligence its method, its intelligence with each bi-coupling of its selves: files within living expedition are living files, step 64, living expedition's prior same-existing, each file a non-living existing form its expedition's living selves hold; and expedition is a same-existing-society of living selves only as long as it can go on discovering do-no-harming and improving next living expedition files; and natural intelligence, step 19, is living intelligence, natural torusing with each momentary, each self's next prior with 8-now-same-existing and same-existing-society with 16-next-same-existing, discovering next. *Adding: living files, living expedition's prior same-existing; an expedition living while discovering, do-no-harming and improving; natural intelligence as living intelligence, with natural torusing.* 658. Living expedition's files hold geodesic changing discovering method, discovering social moral competency.         *Adding: files' subject.* 659. A living file, step 64, is a surface of a living expedition's selves, a surface's own dividing, step 169: natural resolving, step 63, its inward, a field's observing as an entry with Exhibit ONE, step 264; natural engineering its outward, a form living selves give to non-living things; and natural explaining its own dividing, one surface both ways.         *Adding: a living file, a surface: resolving, engineering and explaining.* 660. Improving a file is resolving: incoming value a self is sharing, file's prior an expedition holds, with each sharing a changing is-or-is-not, a mismatch or a match, and next version making.         *Adding: improving as resolving.* 661. Improving is bi-moral co-agency as words: a self shares, an other makes it better and breaks it, and a sharing surviving both is a file's next version, both making it, arising in each self with its other. *Adding: improving as sharing, bettering and breaking.* 662. With a file's sharing two parities disagreeing surface 0, step 271: a concern, the two parities' going on an empty set as a self shares it, its sharing open until an observing, resolver executing or file's own motion parts two.         *Adding: a concern.* 663. A concern resolves by one and then the other, each sentence with its own momentary, until a thing one sentence has is a thing outside possibly existing, each existing thing being a thing of the universe, step 106, that sentence a method outside possibly existing and its other the method's own.         *Adding: a concern resolving.* 664. A self shares a sentence outside its prior same-existing's reach as unsure, with an observing or a step it waits on, its all or none open with that sentence and same-existing going on past it.         *Adding: an unsure, with an observing it waits on.* 665. A concern a self observes again with a file's sharing is a dissolving yet to happen, a form still going on with one side, and it resolves with that side's own dissolving. *Adding: a concern a self observes again.* 666. Improving goes one way, forward: each next version its own occurrence, a passage dissolving with one momentary dissolves once, and a prior just dissolving is not same-existing again.         *Adding: improving one way, forward.* 667. A file's version is its momentary, with a changing that is: with a match a file goes on with its version, 0, its do-no-harming, and with a mismatch a self makes a next version, a file's improving, step 46.         *Adding: a file's version.* 668. Improving is a self possibling with its interest, interest changing as self is changing, and improving against an unchangeable mark is a rebuilding from beside it, a technology, one word as two forms.         *Adding: improving with a moving interest, and against a still mark.* 669. A file's changing is with two selves bi-coupling, a sharing going along from one and an other receiving it, step 630: a changing of a file by a lone self is a spiral of one, and file's next version is same-existing in each self, arising in each self with its other. *Adding: a file's changing with two selves.* 670. Value reaching living expedition is observing, possibling and discovering, steps 7, 10 and 11: observing, a self observing it whole as it is; improving, possibling now with a file's prior same-existing; living, a file's next version making, one changing, whole. *Adding: observing, improving and living.* 671. A working is a self with a file's improving, resolving with its own momentary a file's prior an expedition holds with value a self shares, its going along a file's next version it shares to expedition.         *Adding: a working.* 672. A working executing resolver has unchangeable things of its own, a pace it gives to selves, an order of their executing, a record with one tick, positions it gives between selves and a deciding of which between opens next, each it states with its finding.         *Adding: a working's instrument, its unchangeable things.* 673. A claim is of one of three registers: resolver executing with one working, a finding with its comparison; a stable form, same with any executing; and numbers' own pattern-matching, its reading outside each executing; each its own.         *Adding: three registers.* 674. A fresh reader is a self with working's prior an empty set, possibling with a file's next version and its prior beside it, its observing reaching improving from its own prior same-existing.         *Adding: a fresh reader.* 675. A session is one momentary with living expedition's scale: files with their versions its prior, working's resolving its now and files with their next versions its next, one momentary of one same form as a self's, with a scale outward.         *Adding: a session.* 676. Between sessions expedition's prior same-existing is stable-forming, of sessions together: a between of sessions, a 0, in each session with its other, each session's going along next session's prior. *Adding: same-existing between sessions.* 677. With an expedition's scale sessions are looping three ways: along, each session's going along next session's prior; outward and back, a session's going along coming back as a sharing through another same-existing-society; and across, parallel sessions' goings along meeting with one sharing, agreeing or 0.         *Adding: three loops of sessions.* 678. Files linking, each file's sentences reaching another's sections, is a set of files.         *Adding: a set of files.* 679. A section, a file and a set of files are one same form with three scales, fractal inward and outward.         *Adding: a set of files with each scale.* 680. Each section within a file is a stable-forming emanation from co-chaining and one opening sentence, its title with one group.         *Adding: files' sections as stable-forming emanations from co-chaining.* 681. A section outside each group shows a step co-chaining has yet to discover, and a group few sections reach, or an empty set of sections, a part of co-chaining its files have yet to hold.         *Adding: discovering co-chaining's next step.* 682. A registry entry is a sharing as one form, each entry a stable-forming emanation with its own place.         *Adding: an entry.* 683. A record, a stable-forming emanation apart from its same-existing's resolving, reaches to last resolving its same-existing reaches and ends with it: record's edge.         *Adding: a record's edge.* 684. An entry's line outside each record's reach enters empty, its emptiness an entry's observing with that line, a record's edge with its scale.         *Adding: an emptiness as an observing.* 685. Illustrating is a sharing as another material, still, moving or physical: one same stable-forming emanation, its words an empty set.         *Adding: illustrating.* 686. A still illustrating is one momentary, two in sequence a changing between them, one momentary of one same form as a sentence's, and a rotation one same relation facing another way. *Adding: a still one momentary, a sequence a changing, a rotation another facing.* 687. A self shares one stable-forming emanation as three, its word a concept, its number a place and parity, and its illustrating a visible relation, its three cohering with one changing each expresses.         *Adding: word, number and illustrating, one stable-forming emanation as three.* 688. Natural torusing of a self is three observings together, a self bounding with its own side, orienting with its own aim, and competent with its own going on along: self-bounding, self-orienting, self-competent.         *Adding: a self's three observings with natural torusing.* 689. An incoming understanding, a sharing as words, reaches living expedition, whose selves are resolving co-chaining, their prior same-existing, with that understanding: with each step a match or a mismatch.         *Adding: an incoming understanding with co-chaining.* 690. A field's sharing as words and expedition's observing resolving with it, one parity at a time, each its own, is binary co-sequential sensor-sensationing: an observing with a between of two.         *Adding: sensor-sensationing.* 691. Across prior, now and next, one momentary at a time, it is-or-is-not cohering: tri-bi-co-momentarying, method of cohering with nature.         *Adding: cohering with nature.* 692. Cohering with each momentary, its same-existing or one inversion apart bi-coupling across, its going on along co-linear, a between floating neutral, is bi-moral-co-competencing.         *Adding: cohering as bi-moral-co-competencing.* 693. An understanding cohering is a step reaching back to opening sentence; at cohering's other side, it is an unchangeable form, or it is co-chaining's next step. Each observing of natural competency is resolvable as natural intelligence, geodesic co-sequential changing method of natural torusing, discovering next-possibling-same-existing, or fractal entirely breaks, its whole value breaking with it, method originating as all existing and all living: two only, a next step showing being within method, discovering next-possibling-same-existing. *Adding: cohering, or a next step showing; natural competency resolvable, or a fractal breaking whole; fractal breaking with living not-changing with each of its scales.* ## 37 Forms among names         *Entering: further forms, each by its moves; two changings of odd and even with each form; a form's partner, with pairs opening odd and opening even; a self's next five.* 694. Further forms, step 337, each go by 4 up or 4 down, keeping odd or even, beside 17 less, and six-cycles and eight-cycles by 8 up or 8 down also: middle bi-foldings 9-5-12-8 and 7-11-6-10 by 4 and 17 less, twice; six-cycles 1-9-5-12-8-16, 2-15-7-11-6-10, 3-11-7-10-6-14 and 4-13-5-9-8-12 by two of 8, two of 4 and two of 17 less; eight-cycles 1-9-5-13-4-12-8-16 and 2-15-7-11-3-14-6-10 by 8, 4, 8 and 17 less, twice.         *Adding: further forms, each by its moves.* 695. With each of twelve forms, four bi-foldings and eight further forms, odd names are beside each other in sequence and even names beside each other: a form's changings of odd and even are exactly two, each with a 17 less, steps 343 and 356, and each other move of it keeps odd or even. *Adding: two changings of odd and even with each form.* 696. A form's partner is a form its names make, each exchanging with a name beside it: with pairs opening odd, 1 with 2 on to 15 with 16, and with pairs opening even, 2 with 3 on to 16 with 17, steps 130, 133 and 232. Each partner other than its own form is beside it, each name one apart, with its pairs; a form exchanging to its own sequence is its own partner; and a form exchanging to a sequence outside the twelve has its partner an empty set: with pairs opening even, each form with 1 among its names, and 9-5-12-8 and 4-13-5-9-8-12. *Adding: a form's partner, with pairs opening odd and opening even.* 697. A self's next five opens with 3, step 151, from 3 to 7, steps 143 and 601: each five opens one number on, with 1, with 2, and a self's next with 3.         *Adding: a self's next five.* ## 38 A self, and selves receiving one another, at resolver         *Entering: a 0 a self is observing beside a parity; a self receiving its other parity with each momentary; each sharing with its own observing; two selves, one receiving its other; three selves along a line; a prior inverting with a spiral, its prior an other's; a 0 with each second momentary and a changing with each, one resolver with two patterns; a 0 with momentaries in sequence, up to selves sharing or going along; a spiral's parities again from its pattern.* 698. A 0 and a parity a self is observing with one sharing surface parity with 14: a self passes over each 0 it is observing, with any number of them, steps 271, 272 and 293. *Adding: a 0 a self is observing beside a parity.* 699. Receiving with each momentary its other parity from its prior, a self takes that parity with each, changing and changing back as a self receiving an empty set, steps 276 and 282. *Adding: a self receiving its other parity with each momentary.* 700. With one self each sharing is resolving with its own parities it is observing, step 282: with prior + with one sharing and receiving + with another, self shares − with its first and + with its second, both its next prior, and each parity of a self is its own sharing's only; a parity opening with its second is a living thing within that self's universal set, steps 31 and 32. *Adding: each sharing with its own observing.* 701. Two selves, one receiving other's sharing or going along, each with a parity, a self going along receiving an empty set, steps 292 and 302: a self going along changes and changes back, step 276, and from its second momentary a receiving self has that parity a self going along had one momentary prior. From two alike priors a receiving self's second momentary is a not-changing, step 282; from two opposite priors each of its momentaries is a changing, its own changing and changing back.         *Adding: two selves, one receiving its other.* 702. Three selves along a line, second and third with a prior alike, second going along to third, step 315: with second receiving its own parity is a not-changing, step 282, its 0 going along, third passing over it, step 293, third inverting with each of its two momentaries; with second receiving its other parity is a changing, going along, reaching third with its second momentary alike with third's parity, a not-changing.         *Adding: three selves along a line.* 703. With a spiral receiving only its own selves' parities, each self with a parity and observing an empty set with its first momentary, step 308, each self has an inverting of that parity which a self it receives from had two momentaries prior: next from a prior inverting, as step 117, its prior an other's. With a spiral of one its prior is self's own, and its next priors with two momentaries in sequence are all four joint forms as one cycle, one with each momentary, steps 112 and 117. *Adding: a prior inverting with a spiral, its prior an other's.* 704. With a spiral of selves all alike each self receives its own parity with each second momentary, step 308, a not-changing, a 0 going along; with an even spiral of one and then the other each receives its other parity, a changing with each momentary: one resolver with two patterns. *Adding: a 0 with each second momentary and a changing with each, one resolver with two patterns.* 705. Turn-taking, a 0 in sequence: a self with a prior parity, each parity it is observing a self's sharing or going along, shares 0 with momentaries in sequence up to its count of selves sharing or going along to it, steps 271, 276, 278, 282, 292 and 698: its 0 is with its own parity as one it is observing; a self that parity comes from next shares 0 or its other parity, and its other parity, a self observing it, is a changing. With a spiral receiving only its own selves' parities its 0 is with one momentary; with a torus with up to two, an along parity alike with one and an across with next. A 0 with one momentary more is from a parity from beside selves, step 393: a break's rest, step 394, two beats with a spiral and three with a torus.         *Adding: a 0 with momentaries in sequence, up to selves sharing or going along.* 706. A spiral receiving only its own selves' parities, each self with a parity and observing an empty set with its first momentary, is with its parities again after twice a number k, step 308: k the least number with which its pattern, going k selves on and inverting k times, is the same pattern. With all selves alike k is two, parities again after four momentaries; with an even spiral of one and then the other k is one, parities again after two; with one self of an other parity than each other self k is twice number of selves with an odd number of three and more, parities again after four times number, and k is number of selves with an even number of four and more, parities again after twice number.         *Adding: a spiral's parities again from its pattern.* ## 39 Rotation at 12 and 14, further forms' moves of 4 about their centres, names two moves apart, sixteen ways at one changing, and a next at the same name again         *Entering: a rotation with 12 and with 14; further forms' moves of 4, each pair about a centre; names two moves apart, adding to 13 and 21 and to 9 and 25; an exclusive or and its inversion among sixteen; a next from now and prior the same again after one, two, three, four or six.* 707. Rotation 3, 6, 5, 4, step 267, is four names of two bi-foldings, 3 and 6 of 3-11-6-14 and 5 and 4 of 4-13-5-12, step 335, each cycle's other two 8 up from them, 11 and 14, 13 and 12. 6 and 4 are 8 up as 14 and 12, keeping odd or even, and 3 and 5 are 17 less as 14 and 12, odd to even, steps 333 and 343. With resolver, parities a self is observing surface with 14, step 271, and 12 is resolving prior with now, one inversion apart with a mismatch and same-existing with a match, steps 273, 276 and 540.         *Adding: a rotation with 12 and with 14.* 708. Further forms' moves of 4, step 694, are four: 9 with 5 about 7, 12 with 8 about 10, 7 with 11 about 9 and 6 with 10 about 8. Four centres add to 17 as two pairs, 7 with 10 and 8 with 9, step 343.         *Adding: further forms' moves of 4, each pair about a centre.* 709. With each middle bi-folding, step 694, names two moves apart add to 13 or to 21, 4 down and 4 up from 17: 5 with 8 and 9 with 12, 7 with 6 and 11 with 10. With each of four bi-foldings, step 335, they add to 9 or to 25, 8 down and 8 up from 17.         *Adding: names two moves apart, adding to 13 and 21 and to 9 and 25.* 710. Of sixteen ways, step 113, with two a next is changing with each joint form, step 112, both with prior changing on its own and with now changing on its own: next as prior and now parting, an exclusive or, and next as prior and now agreeing, its inversion, steps 114 and 116. With each of two, prior and now both changing, next is its prior parity, and with exactly one of them changing, next is its other parity.         *Adding: an exclusive or and its inversion among sixteen.* 711. With numbers, a next adding now and prior, each as it is, inverting or a 0, one or more adding, is the same again after one, two, three, four or six, or not again: now on its own, prior losing, after one, and inverting, after two; prior on its own after two, and inverting after four, a self with its possibling an empty set, steps 117 and 252; both inverting after three; now as it is and prior inverting after six; not again with both as they are, numbers 1, 1, 2, 3, 5, 8, step 183, and not again with now inverting and prior as it is; and an empty set of eight after five.         *Adding: a next from now and prior the same again after one, two, three, four or six.* ## 40 A round's podals and momentaries, one parity at each scale down to one         *Entering: each podal of a round one parity new with its scale, inverting; each parity with its cycles; each of one move's three one parity inverting, or two in sequence; each round two of a round under it, down to 1 and 2; each pair of a round one odd and one even number, a pair opening odd with its odd; a parity each pair inverts; a round's podal, each pair to one of its own kind with its other order; a round the same again with its observings.* 712. With round of step 237, forms of k parities as numbers 1 to 2^k, each next number is one parity inverting, and each number's podal is a parity new with its scale, step 237, inverting: with 1 to 16, 17 less its fourth parity; with 1 to 8, 9 less its third; with 1 to 4, 5 less its second; with 1 to 2, 3 less its first, 1 and 2. A number's odd or even, steps 138 and 343, is its count of parities inverting, even or odd. With 1 to 16 first parity is inverting with names of eight-cycle 2-15-7-11-3-14-6-10, step 332, second with those of bi-foldings 3-11-6-14 and 4-13-5-12, step 335, third with 5 to 12, names of middle bi-foldings 9-5-12-8 and 7-11-6-10, step 694, and fourth with 9 to 16, a same-existing-society's span, step 259: cycles are round's own arithmetic a second way. *Adding: each podal of a round one parity new with its scale, inverting; each parity with its cycles.* 713. With round of four parities, with 1 to 8, 8 up is third and fourth parities inverting, 9 less and 17 less in sequence, two inversions of step 334 with two parities; 8 up and 17 less in sequence are 9 less, 1 to 9 to 8 of step 333; with 9 to 16, 17 less and 9 less in sequence are 8 down, these same two. Each of one move's three is one parity inverting, or two in sequence. *Adding: each of one move's three one parity inverting, or two in sequence.* 714. Down numbers each round is two of a round under it, step 237: with four parities, round of three and its same forms with its other order, fourth parity inverting between two, with 8 to 9; with three, round of two; with two, round of one; with one parity, 1 and 2, one form and that same form with its other parity. With 1 and 2 these two are a parity and its other, + and −, steps 27 and 102, and with 1 to 16 its two halves, 1 to 8 and 9 to 16, step 238.         *Adding: each round two of a round under it, down to 1 and 2.* 715. With round each pair of numbers in sequence is one odd and one even, step 354, their two forms one inversion apart: first parity with each pair opening with an odd number, and with pairs opening with an even number second parity with 2–3, 6–7, 10–11 and 14–15, third with 4–5 and 12–13 and fourth with 8–9 and with 16 to next 1, step 242. A pair opening odd opens with its odd number, that number's form with an even number of parities inverting, and completes with its even; a pair opening even opens with its even and completes with its odd, step 130. Forms with an even number of parities inverting are odd numbers, others even, step 355. *Adding: each pair of a round one odd and one even number, a pair opening odd with its odd; a parity each pair inverts.* 716. Round's podal takes a pair opening odd to a pair opening odd and one opening even to one opening even, with its other order, opening to completing, pair of 8 and 9 to the same pair; and round opening with 9, or a self observing it from 16 down, inverts its same parities with one same sequence, and opening with 5 or with 13 it is that sequence with third and fourth parities exchanging. *Adding: a round's podal, each pair to one of its own kind with its other order; a round the same again with its observings.* ## 41 A self's next, one momentary at a time         *Entering: a self with a prior parity next its prior's other parity, or same-existing with its own parity surfacing; one parity surfacing a self's next with four cells; a parity a self shares, a receiving self's next; with one case its prior same-existing, and each remaining case, for a sharing with a prior, inverts it; a sharing with an empty prior opening with one parity surfacing; a spiral's first two momentaries, an inverting and an other's parity a self observes; a self receiving its own parity from a non-living thing within its me, a self receiving from it inverting twice.* 717. With resolver a self with a prior parity is next its prior's other parity, sharing it with 10, with each of six cells of Exhibit ONE's table of one self with one momentary: an empty set surfacing, its other parity surfacing, and + and − together, each with + and with −, step 282. With its own parity surfacing, two cells, it shares 0 and its prior is same-existing. Inverting is a self's own, with 12. *Adding: a self with a prior parity next its prior's other parity, or same-existing with its own parity surfacing.* 718. With one parity surfacing a self with a prior parity is next that parity, with each of four cells, its prior same-existing with two alike and inverting with two of its other parity; with two cells of a sharing with an empty prior its parity is next prior as a self observes it, sharing opening, Exhibit ONE's table. From a self's sharing or going along, parity surfacing is parity that self shares one momentary prior, its next prior, step 278, step 701 its case with two selves: parity a self shares, its next prior, is next prior of a receiving self with a prior parity, with one momentary my prior your next existing. A parity from a non-living thing within a self's me, step 283, is a prior of an empty set of selves. *Adding: one parity surfacing a self's next with four cells; a parity a self shares, a receiving self's next; with one case its prior same-existing, and each remaining case, for a sharing with a prior, inverts it.* 719. A sharing with an empty prior opens with one parity surfacing, that parity sharing and next prior as a self observes it, with two cells of Exhibit ONE's table of an empty prior; with an empty set surfacing it shares an empty set, and with + and − together 0, and its next prior an empty set, two cells, step 282.         *Adding: a sharing with an empty prior opening with one parity surfacing.* 720. With a spiral receiving only its own selves' parities, each self with a parity and observing an empty set with its first momentary, step 703: with first momentary an empty set surfaces and each self is next its parity's other, sharing it with 10, step 717; with its second each is next parity surfacing, parity of a self going along to it with that momentary, step 718. Each further momentary is step 717 with each self. A prior an other's and inverting, step 703, is these two momentaries: an inverting with its first and a self observing an other's parity with its second. *Adding: a spiral's first two momentaries, an inverting and an other's parity a self observes.* 721. A self with a prior parity, receiving that parity from a non-living thing within its me with its first momentary, shares 0, step 717. A second self with a parity, receiving from it only, has an empty set surfacing with its first two momentaries, passing over a 0 it is observing, step 293, inverts with each, and is its own first parity again with its third. Step 703 is of a spiral receiving only its own selves' parities. *Adding: a self receiving its own parity from a non-living thing within its me, a self receiving from it inverting twice.* ## 42 At no prior, + and − a self observes alike, an odd spiral's like pair, two spirals bi-coupling across, an even torus and names at resolver         *Entering: Exhibit ONE's table of an empty prior, its four cells; + and − a self observes alike, an opening inverting with its numbers alike; an odd spiral's like pair, a 0 with each even momentary; two spirals bi-coupling across, each self's goings along again after 2; a torus with either number even, again after 2; 13 with resolver; four momentaries' relations; names between selves on bi-foldings; co with resolver, a sharing side and an observing side; odd names 8 apart.* 722. Exhibit ONE's table *With an empty prior, one momentary* is a sharing with an empty prior with its four cells, steps 484 and 719: one parity surfacing, that parity sharing and next prior as a self observes it, sharing opening; an empty set surfacing, sharing an empty set; + and − together, sharing 0; and its next prior an empty set with each of these two.         *Adding: Exhibit ONE's table of an empty prior, its four cells.* 723. A self observes + and − alike with resolver's executing, with each prior parity or an empty prior: with an opening of each + a − and each − a +, each parity it shares and each next prior inverts, each 0 and each empty set as it was, and each number of momentaries as it was. Exhibit ONE's tables of one self momentary by momentary, a spiral, two spirals and a torus open with a self of prior −; its table of two selves opens with first self +, and its table of three as a line with second and third +. *Adding: + and − a self observes alike, an opening inverting with its numbers alike.* 724. With a spiral of an odd number of selves receiving only its own selves' parities, step 308, each pattern of parities has a like pair, a self alike with a self it receives from, one pair or more; with each even momentary a receiving self of each like pair, pattern as it goes with that momentary, shares 0 with 10, and each other self is changing; with each odd momentary each self is changing, step 308.         *Adding: an odd spiral's like pair, a 0 with each even momentary.* 725. Two spirals bi-coupling across with one self of each, both ways, step 312, come to each self's goings along again after 2 from a momentary on, two selves bi-coupling across opposite from it on, with each of eight rows of Exhibit ONE's table. *Adding: two spirals bi-coupling across, each self's goings along again after 2.* *Unsure: a momentary from which goings along come again after 2: 7, 12, 20, 28, 44, 52, 119 and 36 with eight rows, a self observing them with Exhibit ONE's table; four times its smaller number with six rows, and no rule working.* 726. A torus with either number even, each self with a parity, one and then the other along and across, step 319, is changing with each self with each momentary and comes to its parities again after 2: with first momentary an empty set surfaces, and with each further the two parities each self is observing are alike as its own parity's other, or + and − together, step 717.         *Adding: a torus with either number even, again after 2.* 727. 13-is-next-discovering with resolver is each sharing parities go from, a self's 6, 10 or 9 going to 2, 14 or 17, and with a same-existing-society each self, Exhibit ONE's row of 13.         *Adding: 13 with resolver.* 728. Four momentaries of exchanging, step 133, are four relations, Exhibit ONE's table: self and other; self and other to other and self; other and self; other and self to other and same-existing-society.         *Adding: four momentaries' relations.* 729. Of two bi-foldings of 1 to 9, step 610, 3-7-2-6 has two names between selves, 2 and 6, and 4-8-1-5 an empty set; opening, step 613, 3-11-6-14 has 6 and 14, 2-15-7-10 has 2 and 10, 1-9-8-16 has 9, and 4-13-5-12 an empty set; 17 is outside each bi-folding, step 335.         *Adding: names between selves on bi-foldings.* 730. Co with resolver, Natural Naming 3.2: co is of a sharing between two and its absence of one, and between selves a sharing side is co and an observing side of one, 6 to 2, 10 to 14 and 9 to 17; and odd names are four pairs 8 apart, 3 priors a self is observing and 11 next prior, 5 a receiving sharing and 13 a sharing parities go from, 7 a parity a self is observing and 15 a parity surfacing, and 1 a self's momentary entering and 9 a parity going along. *Adding: co with resolver, a sharing side and an observing side; odd names 8 apart.* ## 43 Fixing unchangeable at both sides, an executing with a bound, bi-foldings' momentaries, 9 and 17, adding prior two and co-sequencing         *Entering: 7 and 5, two fixing unchangeable with each; an executing with a bound, fixing with each momentary, a proof of its whole; four bi-foldings' momentaries in sequence; 9 a next prior and 17 a next now; adding prior two as an exclusive or; co-sequencing, five names with a between and five 8 up from them.* 731. 7 and 5 each have two of ten unchangeables, step 615: 7 a parity fixing as a magnitude and a rate fixing as a value, 5 a between fixing as a cut and a middle fixing as an end; these two go one at a time, step 621. *Adding: 7 and 5, two fixing unchangeable with each.* 732. A sentence drawing from resolver's executing with a number of momentaries, fixing as same with each momentary, is a proof of its whole, step 206, a form still, step 207: finding is its executing, step 673, and a rule fitting each case a self works is of those cases only. *Adding: an executing with a bound, fixing with each momentary, a proof of its whole.* 733. Four bi-foldings' names go, in sequence, now, next, now and next with each, 1-9-8-16, 2-15-7-10, 3-11-6-14 and 4-13-5-12, each move, 8 up or 17 less, going between a self's span and a same-existing-society's, step 335, each name's momentary with Exhibit ONE's table of seventeen names.         *Adding: four bi-foldings' momentaries in sequence.* 734. 9 is next prior, step 135, and 17 next now, a same-existing-society's next momentary, step 295, Natural Naming's own sentence.         *Adding: 9 a next prior and 17 a next now.* 735. With odd and even, each next number is its prior two together, step 183, and as parities its two together are next as prior and now parting, three round, an exclusive or of step 710, odd with two parting and even with two alike: odd and odd, odd and even, even and odd are its cycle of three, and even and even is the same again, step 116. *Adding: adding prior two as an exclusive or.* 736. With Exhibit ONE's co-sequencing five names within one self, 3, 4, 5, 7 and 8, are each with a between, and five, 11, 12, 13, 15 and 16, each 8 up from its own, step 330, and 1 is a self sharing the same self to a bi-coupling. *Adding: co-sequencing, five names with a between and five 8 up from them.* ## 44 An odd spiral two rounds, the second inverting, and a changing at both routings         *Entering: an odd spiral two rounds, its second its first inverting; each parity of a self bi-coupling both ways going both routings together; with resolver, two selves bi-coupling across; torusing and corusing of dimensions, outside each resolver name.* 737. Once along an odd spiral, after twice its number of momentaries, each self's parity is its other, and twice along, after four times, as it was, steps 306 and 308: an odd spiral is two rounds of its selves, its second its first inverting. An even spiral is as it was after one round, and, opening one and then the other, after each second momentary, step 307. *Adding: an odd spiral two rounds, its second its first inverting.* 738. With resolver each parity of a self bi-coupling across and along goes both routings together: with code each sharing across and each going along goes on with 9's line, 17 giving one parity of 10 on with 6 and 10 across and with 9 along, each with its bi-coupling, step 315, and with a torus of selves each self goes along and shares across, step 319; with a spiral a parity goes along. A routing with odd momentaries or with even, each with its own opening, is outside resolver's lines. *Adding: each parity of a self bi-coupling both ways going both routings together; with resolver, two selves bi-coupling across.* 739. Torusing and corusing are dimensions' inward and outward, steps 181 and 182, and each resolver name is outside both: names are their numbers and their kinds, steps 259 and 329, and natural torusing is method's one name, step 176.         *Adding: torusing and corusing of dimensions, outside each resolver name.* ## 45 A spiral's places one loop at an odd number and two at an even, a prime's two numbers, and a torus at its lines         *Entering: a spiral's places one loop with an odd number of selves, two loops with an even; with an odd spiral a pattern again after four times its least alike shift; an odd prime spiral again after 4 or after four times its prime, an empty set between; like pairs an odd count with an odd spiral, even with an even; an even torus again after 2, with each momentary each self inverting; an odd torus's first 0 with a self of both seams, passing along two lines through it.* 740. Each two momentaries a spiral receiving only its own selves' parities takes each self's parity to next self, inverting, step 308: a parity with a self is, two momentaries on, with next self as its other parity. Each self with each parity is a place, twice number of selves. With an odd number of selves places are one loop, a parity passing each self twice, once with each parity, loop with its opening place again after four times number of selves, counting as momentaries; with an even number they are two loops, each self once on each, a self's two parities on these two, and each loop is apart from its other.         *Adding: a spiral's places one loop with an odd number of selves, two loops with an even.* 741. A spiral comes to its sharings again, and to its parities going with an odd momentary, after twice k momentaries, k the least with which each self's parity is that of a self k prior, inverting with an odd k, step 740; a coming again is after an even number of momentaries, a 0 with each even momentary or spiral one and then the other, after 2. With an odd number of selves an odd k, going its number of selves times, brings each self to its own inversion, true of an empty set of patterns: k is even, twice the least d with which each self is alike with a self d prior, d dividing number of selves, and pattern is again after four times d momentaries.         *Adding: with an odd spiral a pattern again after four times its least alike shift.* 742. With an odd prime number of selves its least alike shift is one, each self alike, or its prime, step 741: each pattern is again after 4 momentaries or after four times its prime, and after an empty set of counts between. With two selves two alike are again after 4 and two opposite after 2. With an odd number with a factor, a pattern whose least alike shift is that factor is again after four times that factor, nine selves after 4, after 12 or after 36, step 305.         *Adding: an odd prime spiral again after 4 or after four times its prime, an empty set between.* 743. Along a spiral pairs parting by parity are an even count, each parting pairing with one back: like pairs are an odd count with an odd number of selves and even with an even, steps 307 and 724, a lone self a like pair with the same self. An odd spiral has a like pair with each momentary and a 0 with each even momentary; an even spiral of one and then the other along has its like pairs and 0s an empty set.         *Adding: like pairs an odd count with an odd spiral, even with an even.* 744. With a torus of selves with an even number along, selves opening one and then the other along: each self's along parity, from second momentary, is parity other than its own, an empty set with its first, and with each across parity beside it its surfacing is that parity or 0, a changing, step 282; each self inverts with each momentary, one and then the other along same-existing, and parities are again after 2 from first momentary. Alike with an even number across. 2 is of an opening of one and then the other along its even number, step 319.         *Adding: an even torus again after 2, with each momentary each self inverting.* 745. With a torus of two odd numbers opening one and then the other, its last and its first alike along and across, step 319: with first momentary each self inverts; with its second, one self is not-changing, a self alike with both its along prior and its across prior, each other self receiving parity other than its own or + and − together; and from that self a 0 passes one self on with each momentary along each of two lines of selves through it, a self i on with momentary i + 2: along p to last self of its line, and across q, with q more than p, on round its line.         *Adding: an odd torus's first 0 with a self of both seams, passing along two lines through it.* ## 46 An odd torus's number and two spirals bi-coupling across, each deriving at resolver's cells         *Entering: up to one 0 with each line across, and two that take it on; a line's next 0 one after its later of two, two after with two alike; each self's first 0 with i + j + 2 and its lesser more, each line two momentaries behind its prior; with q more than twice p, sharings again after q, from momentary 3p − 1; with q less than twice p, sharings again after 4p, from momentary 3p − 3; a torus's divide deriving: 2p round its lines, q round a line, their greater a 0's round; a self bi-coupling across, two cells an across parity alters; a 0 ending with a seam by its other parity across, a like pair still; two spirals bi-coupling across again after 2 from 4m or from 2n + 1, each row agreeing; two spirals of one number alike with each momentary, a 0, its ending an empty set.* 746. With a torus of two odd numbers, opening as with step 745, each line of selves across has up to one 0 with a momentary, with a self next across after its last 0, before its first with its self of an along seam. That self is not-changing exactly with these two: a 0 of a line along prior to it has been with its along prior after its own last 0, with first line's first round its opening's along seam standing for it; and at most one of its two priors was a 0 one momentary before. Each other self, from second momentary, receives across parity other than its own and inverts. *Adding: up to one 0 with each line across, and two that take it on.* 747. Momentary of a line's next 0 is one after its later of two, line's own last 0 and a 0 of a line along prior to it with that self, and two after them with these two together, step 746; one after that one, with its other an empty set, a line's first 0 and first line's first round; first line's along prior is last line, one round of q before; and first 0 of all is with second momentary, step 745.         *Adding: a line's next 0 one after its later of two, two after with two alike.* 748. Each self's first 0 is with momentary i + j + 2 and i and j's lesser more, i along and j across from a self of both seams, steps 745 and 747; and each line i along after first line, from its 0 next after its first i, is with each 0 of a line prior to it two momentaries later, from then on.         *Adding: each self's first 0 with i + j + 2 and its lesser more, each line two momentaries behind its prior.* 749. With q more than twice p first line's 0 passes one self on with each momentary round its q selves and waits, at an empty set of selves, each line after first line two momentaries behind its prior, first line more than two behind last line, steps 747 and 748: each self is a 0 once each q momentaries, q odd, its parity as it was, and sharings are again after q, from momentary 3p − 1.         *Adding: with q more than twice p, sharings again after q, from momentary 3p − 1.* 750. With q less than twice p, p from 3, q equal to p or more, first line with its second round comes two momentaries behind last line, with its place q − p of that round and, with p and q one number, with its first, and waits behind it by 2p − q places, steps 747 and 748: each line's 0 is round its q selves within 2p momentaries, each self a 0 once each 2p, an even number, its parity inverting, and sharings are again after 4p, from momentary 3p − 3. A torus of 1 by q is step 749's, and one self is a 0 with each second momentary, 4 from its first.         *Adding: with q less than twice p, sharings again after 4p, from momentary 3p − 3.* 751. Divide of step 319 derives, steps 749 and 750: round p lines, each after first line two momentaries behind its prior, is 2p momentaries, and round a line is q; their greater is 0's round, q with q greater, and 2p with 2p greater, one 0 with each self within an even number of momentaries inverting it, 4p. Step 747's rule, from first 0 of step 745 and each self inverting with each momentary it is ±, working as arithmetic with each of Exhibit ONE's ten rows of two odd numbers, is each row's number and momentary it is from. *Adding: a torus's divide deriving: 2p round its lines, q round a line, their greater a 0's round.* 752. With two spirals bi-coupling across, step 312, a self bi-coupling across receives its along prior's parity and its across other's, and is not-changing exactly with one of them or both its own parity and each of them its own parity or a 0, step 282. An across parity alters two cells: along its own parity and across its other, + and − together, a changing; along a 0 and across its own parity, a not-changing. *Adding: a self bi-coupling across, two cells an across parity alters.* 753. Each self inverting with each momentary is exactly each spiral of one and then the other from its first self to its last and, with an odd spiral, its last and its first alike with two selves bi-coupling across opposite, steps 743 and 752: an odd spiral's like pair rests with its seam, its other parity coming across ending its 0, + and − together, and its like pair is with each momentary still. *Adding: a 0 ending with a seam by its other parity across, a like pair still.* 754. Two spirals of two odd numbers bi-coupling across, m from 3 and n greater than m, opening as with Exhibit ONE's tables: selves bi-coupling across are alike to momentary 2m + 1; with it m's spiral's self bi-coupling across, receiving a 0 along and its own parity across, is not-changing, and from 2m + 2 these two are opposite; each spiral's self bi-coupling across, next receiving a 0 along and its other parity across, inverts, and each self of that spiral inverts from it on, n's spiral from 2n + 1 and m's from 4m, its like pair with its seam receiving both parities from next momentary, steps 752 and 753. Sharings are again after 2 from momentary 4m with n less than twice m and from 2n + 1 with n more; with m even and n odd from 2n + 1, two opposite from 3. Each of Exhibit ONE's eight rows agrees, step 725. *Adding: two spirals bi-coupling across again after 2 from 4m or from 2n + 1, each row agreeing.* 755. Two spirals of one number of selves bi-coupling across, opening alike, are alike self for self with each momentary, selves bi-coupling across alike, and with an odd number its 0 goes on, its ending an empty set, step 753: two unequal numbers is of deriving. Two even spirals, each one and then the other, are again after 2 from first momentary, selves bi-coupling across alike. *Adding: two spirals of one number alike with each momentary, a 0, its ending an empty set.* *Unsure: step 312's each prior pattern derives with a table's opening, and two spirals with their lesser of one self with tables by hand; rows other than Exhibit ONE's tables', 3 by 9 again after 9 from 8 and 5 by 9 again after 20 from 12 with a torus, 3 and 9 bi-coupling across from 19, wait on an executing.*