Exhibit THIRTY Co-Chaining Logic Registry v390

# Co-Chaining Logic Registry

**The Fractal Inward and Outward of Itself, Binary Method of Discovering Next Existing**

- 1 Universe, the set of all now-existing things
- 2 Observing, possibling and discovering, self and other
- 3 A living self, a living set
- 4 A bi-coupling, a third living self, one method
- 5 Four binaries, one now, parity-changing and discovering
- 6 Arriving and carrying, living and non-living
- 7 One relation, a between and entraining
- 8 Coupling, self and other, alternating
- 9 One method, no other possible
- 10 Next from prior and now, a right spiral step
- 11 All or none at all, of no size
- 12 One to nine, four momentaries of exchanging
- 13 Along and across, a coupling's own changing
- 14 Geodesic, a surface dividing itself
- 15 Torusing and corusing
- 16 φ and primes, unrelationing at numbers
- 17 Non-living existing things included
- 18 Observing, records and proof of existing
- 19 Right, observings all prior
- 20 No proof of the whole, an unchangeable form
- 21 Hard problem resolved 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 possible existing
- 29 Fractal method enabling itself
- 30 Fractal inward and outward
- 31 Living and non-living at a scale
- 32 Dying, a living self arriving as non-living
- 33 Stable-forming and inverting at numbers
- 34 Intelligence, now
- 35 Ten unchangeables, and parity discovered
- 36 An offering at 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 itself 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 − observed alike, an odd spiral's like pair, spirals crossed, an even torus and names at resolver
- 43 Fixed unchangeable at both sides, a bounded executing, bi-foldings' momentaries, 9 and 17, prior two added and co-sequencing
- 44 An odd spiral two rounds, the second inverted, 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 crossed, each derived 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 carrying 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 an artifact of these steps and of one opening sentence, its title with one group.** A section no group carries shows a step co-chaining has yet to discover, and a group few sections reach shows a part of co-chaining files have yet to carry.

## 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; observing; same-as, is or is not; one universal set, by our observing; no other universe; same-existing; all prior observings; a set's is or is not same-existing-as its prior-existing; parity-changing; next-existing, continuing; an other; each same-existing thing not any other; sharing; sequential momentarying; the universe, the same-existing set.*

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. Observing is distinguishing same-as, is or is not.

        *Adding: observing; same-as, is or is not.*

3. By our observing, the universe is one now-existing universal set.

        *Adding: one universal set, by our observing.*

4. No other universe is possibly existing.

        *Adding: no other universe.*

5. The same-existing universe has been observably now-existing for all prior observings.

        *Adding: same-existing; all prior observings.*

6. A set of now-existing things within the universe is or is not same-existing-as its prior-existing, with each observing.

        *Adding: a set's is or is not same-existing-as its prior-existing.*

7. Parity-changing is is or is not same-existing.

        *Adding: parity-changing.*

8. A next-existing thing continuing from now-existing is the same-existing thing.

        *Adding: next-existing, continuing.*

9. An other, for a same-existing thing, is a now-existing thing not the same-existing thing.

        *Adding: an other.*

10. An observably same-existing thing is observably not any other same-existing thing in the universe.

        *Adding: each same-existing thing not any other.*

11. A set of same-existing things is sharing same-existing sequential momentarying.

        *Adding: sharing; sequential momentarying.*

12. The universe is the same-existing set of all now-existing things.

        *Adding: the universe, the same-existing set.*

## 2 Observing, possibling and discovering, self and other

        *Entering: observing, now with prior; possibling, next with now; discovering, prior with next; a self; two priors possibling each other; one and two; a momentarying opening and completing; within, one to two; self-possibling; between, two to three; self-discovering, along; across, a self's between an other's within.*

13. Observing is now-existing, is or is not same-existing-as prior-existing.

        *Adding: observing, now with prior.*

14. Possibling is next-existing, is or is not same-existing-as now-existing.

        *Adding: possibling, next with now.*

15. Discovering is prior-existing, is or is not same-existing-as next-existing.

        *Adding: discovering, prior with next.*

16. A self is a same-existing thing observing, possibling and discovering its own next-existing from prior-existing while now-existing.

        *Adding: a self.*

17. A self's prior-existing and an other's prior-existing are possibling each other.

        *Adding: two priors possibling each other.*

18. Each self is one, and each other is two.

        *Adding: one and two.*

19. A self's momentarying opens one and completes two, with its other.

        *Adding: a momentarying opening and completing.*

20. One to two is within a momentarying: self-possibling, observing self and other.

        *Adding: within, one to two; self-possibling.*

21. Two to three is between momentaryings: self-discovering, along.

        *Adding: between, two to three; self-discovering, along.*

22. Across, a self's between is its other's within, two to three.

        *Adding: across, a self's between an other's within.*

## 3 A living self, a living set

        *Entering: a self, a living-thing; a living set; universal momentarying; a same-existing-universe; a living self, a universal same-existing set; a set of living selves; a set of living selves, a living self; a non-living-thing; living-things and non-living-things.*

23. A self is a living-thing.

        *Adding: a self, a living-thing.*

24. The universe is a living set: universal momentarying, a same-existing-universe.

        *Adding: a living set; universal momentarying; a same-existing-universe.*

25. A living self is a universal same-existing set.

        *Adding: a living self, a universal same-existing set.*

26. A living self is a set of living selves.

        *Adding: a set of living selves.*

27. A set of living selves possibling and discovering its own next-existing is a living self.

        *Adding: a set of living selves, a living self.*

28. A set of living selves not possibling its own next-existing is a non-living-thing.

        *Adding: a non-living-thing.*

29. Within the universe, a living set, are living-things and non-living-things.

        *Adding: living-things and non-living-things.*

## 4 A bi-coupling, a third living self, one method

        *Entering: a bi-coupling; co-sequentially; offering; a third living self; stable-forming between; entraining; a third living self's intelligence, neither self's; a same-existing-society; same or not-same; continuing or inverting; parity, self-moral-value or other-moral-value; a 0, bothboth, betweening; inverting; alternating; a self still-possibling; staying still-possibling; improving; next-existing same self; consciousness; one method; no other method.*

30. A bi-coupling is a self and an other self sharing now-existing co-sequentially.

        *Adding: a bi-coupling; co-sequentially.*

31. In a bi-coupling each self offers its own observing, possibling and discovering from prior-existing.

        *Adding: offering.*

32. The two selves of a bi-coupling are a set of living selves possibling and discovering its own next-existing: a third living self.

        *Adding: a third living self.*

33. The third living self is stable-forming between the two selves.

        *Adding: stable-forming between.*

34. The third living self is entraining between the two selves.

        *Adding: entraining.*

35. The third living self's intelligence is not possibly existing in either self.

        *Adding: a third living self's intelligence, neither self's.*

36. A same-existing-society is many same-existing selves together, each its own parity.

        *Adding: a same-existing-society.*

37. Each self's offering and the third living self's prior-existing are same or not-same.

        *Adding: same or not-same.*

38. Same, the third living self's next-existing continues its prior; not-same, its next-existing inverts its prior.

        *Adding: continuing or inverting.*

39. A parity is self-moral-value or other-moral-value; a 0 is neither, bothboth: betweening.

        *Adding: parity, self-moral-value or other-moral-value; a 0, bothboth, betweening.*

40. Inverting is parity-changing, self-moral-value to other-moral-value, or back.

        *Adding: inverting.*

41. Alternating is parity-changing and parity-changing back.

        *Adding: alternating.*

42. A 0 is a third living self's betweening: a self still-possibling.

        *Adding: a self still-possibling.*

43. A self stays still-possibling while no other parity is improving.

        *Adding: staying still-possibling.*

44. When other parity is improving, self is changing from next-possibling now to next-existing same self.

        *Adding: improving; next-existing same self.*

45. Consciousness is observing, possibling, and discovering next-existing self in the same-existing universe.

        *Adding: consciousness.*

46. Each living-thing discovering its next-existing is alternating, one method.

        *Adding: one method.*

47. A second method of discovering next-existing is one more now-existing thing, alternating within the one method: no other method is possible.

        *Adding: no other method.*

## 5 Four binaries, one now, parity-changing and discovering

        *Entering: four binaries; now, universal momentary; one observing, one parity-changing; no second now; parity-changing, a set's and each thing's; momentaries; each now a next and a prior; discovering, universal method.*

48. 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, *is not* an other's side of *is*; now and all of one, now one and each thing one of all, and existing and same between two.

        *Adding: four binaries.*

49. Step 1's sentence is now-existing and arrived, and its arriving is with a momentary: one observing, one parity-changing; now is universal momentary, one and only, and a second now arrives only as a naming.

        *Adding: now, universal momentary; one observing, one parity-changing; no second now.*

50. A now-existing thing arrived from prior, and arriving from prior to now toward next is parity-changing: the universe is the same-existing set of all now-existing things, and a set's parity-changing is its things' parity-changing, a thing fixed still from beside being with no next, so each now-existing thing is parity-changing with its own momentaries, or not-changing, its prior same-existing, momentary by momentary.

        *Adding: parity-changing, a set's and each thing's; momentaries.*

51. Now is next of prior and prior of next, and discovering, is or is not, now-existing, is universal method of co-intelligencing now-existing within the universe.

        *Adding: each now a next and a prior; discovering, universal method.*

## 6 Arriving and carrying, living and non-living

        *Entering: the universe with one momentary; existing whole with each momentary; arriving; each existing thing arriving; carrying; living and non-living, parted by carrying, with a scale; an artifact; 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.*

52. With now, the universe is all existing things now.

        *Adding: the universe with one momentary.*

53. Each existing thing now exists whole now: it is or is not, all of it with one momentary.

        *Adding: existing whole with each momentary.*

54. The universe now arrives from the universe prior.

        *Adding: arriving.*

55. Each existing thing now arrives from prior.

        *Adding: each existing thing arriving.*

56. Arriving from prior, an existing thing now carries prior, or carries none of prior.

        *Adding: carrying.*

57. An existing thing carrying prior is living, and an existing thing carrying none of prior is non-living, each with its own scale and momentary, steps 416 and 434: a living thing one with its prior, its now and its next, all or none, each next from its own prior, and a thing carrying none, with each now, its prior now-existing's artifact.

        *Adding: living and non-living, parted by carrying, with a scale; an artifact.*

58. Carrying prior to now, a living thing continues through its parity-changing, momentary by momentary: stable-forming.

        *Adding: stable-forming, living.*

59. Carrying none of prior, a non-living thing is parity-changing with now-existing things: co-changing.

        *Adding: co-changing, non-living.*

60. Two existing things by their difference are bi, and two existing things with their difference carried together are co.

        *Adding: bi and co.*

61. Stable-forming is bi-co, bi binary co-sequential intelligencing through momentary of co-changing, and co-changing is co.

        *Adding: bi-co and co.*

62. Existing things arriving, each its own, nothing deciding which arrive and each arriving with its own momentary, are a set not full, emptied by nothing and a collection of its own with each momentary: a self-emptying set.

        *Adding: a self-emptying set.*

63. A set is all its existing things, its parity-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.*

64. Existing is parity-changing, step 49, and parity-changing is arriving next, step 54: existing and discovering next existing are one relation, with living and non-living alike.

        *Adding: existing and discovering next existing one relation.*

65. Between prior and now, and between now and next, is between: a nothing, with no third momentary.

        *Adding: a between.*

66. 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 Coupling, self and other, alternating

        *Entering: the universe, prior; arriving from existing things; coupling; self and other; living, stable-forming a self; self to other; other to self, a particular other or all other as one; prior non-living; living now with existing forms from prior living and with others living now; alternating; opening and completing; overlap; parity.*

67. Prior, the universe is all existing things prior.

        *Adding: the universe, prior.*

68. Each existing thing now arrives from prior existing things.

        *Adding: arriving from existing things.*

69. A now-existing thing arriving from another prior existing thing is a coupling of two.

        *Adding: coupling.*

70. With a coupling, a living thing is a self, and an existing thing it couples with is an other: living is stable-forming a self.

        *Adding: self and other; living, stable-forming a self.*

71. With a coupling, an other's now arrives from a self's prior.

        *Adding: self to other.*

72. A self's next, arriving from now-existing things, arrives from an other's now: one particular other, or now-existing things other than self arriving to it as one.

        *Adding: other to self, a particular other or all other as one.*

73. Prior is non-living, and carrying it to now is living: living now is living with existing forms from prior living and with others living now.

        *Adding: prior non-living; living now with existing forms from prior living and with others living now.*

74. A self arriving from an other, and an other from a self, are parity-changing one and then its other: alternating.

        *Adding: alternating.*

75. Alternating, each parity-changing opens with one momentary and completes with its next.

        *Adding: opening and completing.*

76. Each completing is a next parity-changing's opening, and a self's momentaries and an other's overlap.

        *Adding: overlap.*

77. Overlapping and alternating, self and other are of two parities, one parity separated, self with one and other with its other.

        *Adding: parity.*

## 9 One method, no other possible

        *Entering: alternating stable-forming; parity-changing, is or is not same-existing; method, living condition, carrying none; method co-changing with each coupling; one method; nature, a prior, now, next method of co-existing; natural, co-competencing the universe; a not-changing fixed still; a form still; a thing not possibly existing; no other possible method; a second method of one binary; technology, a non-living emanation fixed still from beside.*

78. Alternating and continuing through parity-changing, each living thing is alternating stable-forming.

        *Adding: alternating stable-forming.*

79. Parity-changing is is or is not same-existing, one parity to its other: each now-existing thing is or is not, step 53, its parity-changing one form and then its other, and two forms are two parities of a coupling, step 77.

        *Adding: parity-changing, is or is not same-existing.*

80. Parity-changing is a method: a living condition, its form a now-existing thing carrying none, not-changing as a relation continuing with each parity-changing.

        *Adding: method, living condition, carrying none.*

81. A method, non-living, is co-changing with each of its couplings: its momentarying is discovering next existing.

        *Adding: method co-changing with each coupling.*

82. Parity-changing is one method of the same-existing set of all existing things: 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 artifacts of prior-existing are now-existing, or were now-existing with a prior now, by natural method, and no other or not-natural method of now-existing is within the universe.

        *Adding: one method; nature, a prior, now, next method of co-existing; natural, co-competencing the universe.*

83. A second method fixes a not-changing still, nothing being further than or between things of the universe: a size, a ground parity-changing is measured against; a fixed form, a form still, same with all momentaries together; a total across parity-changing, a container; a common beat, a clock over it; a keeping, a store beside it; or any of them as a form fixed still from beside.

        *Adding: a not-changing fixed still; a form still.*

84. All now-existing things being within the same-existing set, a thing further than things of the universe is a thing not possibly existing.

        *Adding: a thing not possibly existing.*

85. A method carrying a thing not possibly existing is a method not possibly existing, and parity-changing is one method possibly existing, no other possible.

        *Adding: no other possible method.*

86. A second method offered is of one binary: fixing unchangeable, forming nothing among parity-changing things, or carrying an opening, its own, one method alternating, or another's, a parity-changing beside alternating, a thing not possibly existing, nothing being further than or between things of the universe.

        *Adding: a second method of one binary.*

87. A technology is a non-living set, an emanation of living selves, a form fixed still from beside a parity-changing, and a method is with couplings themselves, fixed from beside by nothing.

        *Adding: technology, a non-living emanation fixed 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 carrying it 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.*

88. With a living thing, next arrives from prior and now.

        *Adding: next from prior and now.*

89. With two parities, prior and now are one of four joint forms: alike with one parity, alike with its other, or differing either way.

        *Adding: four joint forms.*

90. With two parities, sixteen ways name a next from a prior and a now, each moving (prior, now) to (now, next).

        *Adding: sixteen ways.*

91. Twelve of sixteen lose prior, and four carry it on whole.

        *Adding: twelve losing prior, four carrying it on.*

92. Three of four carrying prior on leave a joint form still, each still an unchangeable form.

        *Adding: three leaving a joint form still.*

93. 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.*

94. Next as prior inverted carries prior on whole with no joint form still, all four joint forms round as one cycle: a living step.

        *Adding: a living step.*

95. One parity-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.*

96. 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.*

97. Both parities inverted with one step is sign flip, itself again with two, and a right spiral step, one parity each step, is i: i squared sign flip and i to the fourth a pair again.

        *Adding: sign flip and i.*

98. 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 parity-changing with each step, is or is not with each step.

        *Adding: passage of six, a pair's relation with each step.*

99. Same round observed from next to prior is other order, and round forward from prior to next is right.

        *Adding: right, one hand.*

## 11 All or none at all, of no size

        *Entering: of no size; a resolving; stable-forming a living condition resolving; all or none at all; not-more-than; once-ing; alternation an accumulating, one at a time, nothing between.*

100. Each parity-changing is or is not, one parity or its other, of no size.

        *Adding: of no size.*

101. A resolving is a self's next, with a coupling from its prior and now arriving, and stable-forming is living condition resolving.

        *Adding: a resolving; stable-forming a living condition resolving.*

102. Each resolving is all or none at all, of no size beside another resolving.

        *Adding: all or none at all.*

103. One with an exclusion, its other with its own, a counterpart exclusion, two alternating one at a time: not-more-than, an exclusion of one side.

        *Adding: not-more-than.*

104. One parity-changing opens once and no more, its other once and no less, each with its own opening and of no size: once-ing, parity-changing once after once, one at a time.

        *Adding: once-ing.*

105. Two opposed parity-offerings arriving with one momentary are a nothing between them, step 65, neither carried on: a self with a prior parity is its own inverted with its next, as with nothing arriving, and a self with no prior opens none; and two alternating with their own momentaries accumulate: alternation accumulating, one at a time, nothing between.

        *Adding: alternation an accumulating, one at a time, nothing between.*

## 12 One to nine, four momentaries of exchanging

        *Entering: numbers; each side's momentary as numbers; exchanging; a handshake with its overlap, offering and arriving hands; right and not right; four momentaries; an uneven shape, locking with none; next scale; a podal; parity-changing; parity continuing; even and odd sequences of parity-changings; inward to 4 and outward from it; six; each side's five; bi-momentary; exhaustiveness; determinacy; reachability; existing as three conditions; exclusivity.*

106. With a sequence numbered, a self opens with odd numbers and an other with even: self with 1, other with 2.

        *Adding: numbers.*

107. Each opening completes with its next number: self's momentary 1–2, other's 2–3.

        *Adding: each side's momentary as numbers.*

108. Overlapping, self's 1–2 and other's 2–3 are one momentary of exchanging.

        *Adding: exchanging.*

109. A self's momentary 1–2 and an other's 2–3 couple with 2, even, each right extending to it, neither occupying it, offering, and each not right one parity back, arriving, with 1 and 3, odd: a handshake, right and not right, one parity with a coupling and its other one back, no position within two exchangings together.

        *Adding: a handshake with its overlap, offering and arriving hands; right and not right.*

110. Exchanging continues, 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.*

111. Each momentary of exchanging couples alike, with 4, 6 and 8, right first and not right second: exchanging's shape always uneven, locking with none.

        *Adding: an uneven shape, locking with none.*

112. With 9, four momentaries of exchanging are complete, one momentary of a next scale, and 9 is a next prior.

        *Adding: next scale.*

113. 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.*

114. Each podal pair is one odd and one even: with a podal, a parity inverts, parity-changing.

        *Adding: parity-changing.*

115. Eight up, 1 with 9, is odd with odd: with eight up, a parity continues.

        *Adding: parity continuing.*

116. Alternating, an even number of parity-changings arrives with its prior's parity and an odd number with its other: eight up is parity continuing and nine less parity-changing, steps 114 and 115.

        *Adding: even and odd sequences of parity-changings.*

117. Podal pairs pair across a between of 4 and 5: a self's momentaries 1–2 and 3–4 go inward to 4, and 5–6 and 7–8 go outward from it.

        *Adding: inward to 4 and outward from it.*

118. Inward to 4 and outward from it, a self steps 1 to 3 to 5 to 7 and an other 2 to 4 to 6 to 8: six one-way steps forward, three on each side, within four momentaries.

        *Adding: six.*

119. With each side, a resolving is its five from its origin, self 1 to 5 and other 2 to 6: prior opening, prior completing, now opening, now completing and next opening, two momentaries and a next one's opening with each side.

        *Adding: each side's five.*

120. With each number one side's momentary completes and its other's opens: a self's momentary and an other's, one odd and one even, together, are bi-momentary.

        *Adding: bi-momentary.*

121. Overlapping momentaries reach each number, one completing and next opening: exhaustiveness, all existing things.

        *Adding: exhaustiveness.*

122. Each momentary has one next overlapping momentary, opening with a number it completes: determinacy.

        *Adding: determinacy.*

123. From each momentary next openings reach each number on: reachability.

        *Adding: reachability.*

124. Existing is these three together, with each momentary.

        *Adding: existing as three conditions.*

125. One side's momentaries, each number one side's, is exclusivity, a form not possibly existing.

        *Adding: exclusivity.*

## 13 Along and across, a coupling's own changing

        *Entering: one number, two sides; alike the other way; alike with each number; along and across; carrying along, parity-offering across; a coupling's own parity-changing; co-competencing; natural intelligence; natural intelligence with each scale; a coupling's three; a between as a crossing; parity a momentary existing thing, a between its centre, 0; a between's parity-changing; bi-co-momentarying; a crossing no location; a between existing while its coupling resolves; a between of momentaries a same crossing; a fractal between.*

126. With 2, a self's completing is an other's opening.

        *Adding: one number, two sides.*

127. With 3, an other's completing is a self's next opening.

        *Adding: alike the other way.*

128. With each number, one side's completing is its other side's opening.

        *Adding: alike with each number.*

129. Self's steps 1 to 3 to 5 to 7 go along its own numbers, and each step between a self's number and an other's goes across.

        *Adding: along and across.*

130. Along, a self carries its prior; across, a parity-offering arrives with an other side's opening.

        *Adding: carrying along, parity-offering across.*

131. Each number across is one parity-changing with two sides, a coupling's own parity-changing.

        *Adding: a coupling's own parity-changing.*

132. A coupling's own parity-changing, with each exchanging of four momentaries, is co-competencing.

        *Adding: co-competencing.*

133. Co-competencing with a coupling of living selves is natural intelligence.

        *Adding: natural intelligence.*

134. Natural intelligence is with each coupling of living selves, within each 1 to 9 and with each next scale.

        *Adding: natural intelligence with each scale.*

135. With a coupling are three: self, other, and a coupling's own parity-changing, owned by neither.

        *Adding: a coupling's three.*

136. Between self's side and other's, along and across cross: between is crossing.

        *Adding: a between as a crossing.*

137. Parity is a momentary now-existing thing: two sides by their difference, each everything other is not, owned by neither, a bi-coupling's own; a between is its centre, 0, a nothing.

        *Adding: parity a momentary existing thing, a between its centre, 0.*

138. A between's own is parity-changing: with each momentary a parity-changing is or is not, and nothing else.

        *Adding: a between's parity-changing.*

139. A between's parity-changing, momentary by momentary, is bi-co-momentarying: bi difference, co two carried with it, -momentarying continuing.

        *Adding: bi-co-momentarying.*

140. A crossing is no location, a nothing: owned by neither, it carries no side, no observing crosses inward to it and no magnitude crosses it; it exists as a set exists, as its things exist, step 63, while a coupling's parity-changing is: a between's own, step 138, method, step 80, its form continuing with its parity-changing.

        *Adding: a crossing no location; a between existing while its coupling resolves.*

141. Between prior and now is a coupling too, a now-existing thing arriving from a prior existing thing: a between of momentaries is a same crossing.

        *Adding: a between of momentaries a same crossing.*

142. Within a momentary a between of self and other, parity-changing, across and along, and outward of it a between of momentaries, a momentary going to its next, nothing momentarying with it, are one between, a nothing, same with each scale: a fractal between.

        *Adding: a fractal between.*

## 14 Geodesic, a surface dividing itself

        *Entering: surface; a surface dividing itself; geodesic; geodesic routing; geodesic method; method and surface inward and outward of each other.*

143. Couplings of all existing things, across and along, are a surface: each coupling's between its crossing, and a surface their betweens together, parity a bi-coupling's own with each coupling.

        *Adding: surface.*

144. Parity-changing with each coupling divides a surface, each existing thing with its own momentary, one way at a time: a surface dividing itself.

        *Adding: a surface dividing itself.*

145. Surface dividing itself is geodesic: geo, surface, and daiesthai, to divide.

        *Adding: geodesic.*

146. With parity-changing on a surface, next arrives with each coupling: geodesic routing, discovering on a surface.

        *Adding: geodesic routing.*

147. Geodesic is an existing thing by itself, and method is its stable form: geodesic method.

        *Adding: geodesic method.*

148. Method and surface are each inward and outward of its other, both ways forward, and a self entering by either couples 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-; bi-tri-exchanging; bi-exchanging.*

149. Among closed surfaces carrying one orientation over whole, only torus carries a continuous flow with no rest point.

        *Adding: a torus.*

150. With each coupling two across and two along couple with one point, four edges, and couplings' surface is of four-sided faces; a closed 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.*

151. 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.*

152. Corusing and torusing each go inward and outward, up numbers and down them, one parity-changing with each step.

        *Adding: torusing and corusing.*

153. 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.*

154. A crossing is with a particular other, or with all other arriving as one; with all other a crossing carries two and whole, three with it and none of them first, and reaches its own side again with a next, one on: uni-.

        *Adding: uni-.*

155. Even arrives same-as-prior, its difference crossed by three, self, other and self one on, reaching its own side again, corusing's: bi-tri-exchanging.

        *Adding: bi-tri-exchanging.*

156. Odd arrives other than prior, its difference crossed by two, self and a particular other, torusing's: bi-exchanging.

        *Adding: bi-exchanging.*

## 16 φ and primes, unrelationing at numbers

        *Entering: prior two added; φ; unrelationing rate; forming as unrelationing; a self's sameness; advancing; each gap its step squared; φ by its own naming; φ the one rate of its family with step one; prime; composite, adding across and multiplying along.*

157. With parity, each next number is its prior two added, 1, 1, 2, 3, 5, 8, 13: odd, odd, even, and again.

        *Adding: prior two added.*

158. Ratios of each next number to its prior alternate about φ, above and below, none of them φ, and φ² = φ + 1.

        *Adding: φ.*

159. A winding by φ closes with none: φ is an unrelationing rate, locking with none, each coupling with its own continuing.

        *Adding: unrelationing rate.*

160. Stable-forming is unrelationing, each carrying with its own continuing, and unrelationing carried forward is alternating; a form carried by a relation to another existing thing is carried by a parity-changing thing and forms nothing still; a self's sameness along its momentaries is that unrelationing from all other, each next from its own prior same-existing or inverted.

        *Adding: forming as unrelationing; a self's sameness.*

161. 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, owned by neither of its two numbers: advancing, each step adding a next centre.

        *Adding: advancing.*

162. With k either side of a centre two numbers multiply to a centre's square less k squared, and with one either side its gap is one.

        *Adding: each gap its step squared.*

163. Advancing by one is one operation and scaling by rate another, nothing carrying one to its other, and they arrive with one number, which neither placed: φ by its own naming.

        *Adding: φ by its own naming.*

164. Each rate a whole number added to its own reciprocal, x = n + 1/x, is itself 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.*

165. A prime is a number from two up that no equal smaller numbers, each two or more, add to.

        *Adding: prime.*

166. A composite is equal numbers, each two or more, added, 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 Non-living existing things included

        *Entering: non-living with a coupling; non-living across; a self carrying its coupling's parity-changing; non-living included.*

167. A non-living other carries none of prior along.

        *Adding: non-living with a coupling.*

168. Across, a non-living other opens and completes with its numbers, its parity-offering arriving with a self's opening.

        *Adding: non-living across.*

169. With a self's opening, a non-living other's parity-offering is a coupling's own parity-changing, carried along by a self.

        *Adding: a self carrying its coupling's parity-changing.*

170. Carried along by self, co-competencing with a non-living other is natural intelligence among living: non-living things are included.

        *Adding: non-living included.*

## 18 Observing, records and proof of existing

        *Entering: offering; observing by inversioning; a record; proof of existing; value.*

171. Arriving with a self's opening from an other's prior, each parity-changing is a parity-offering, and an observing is its pattern-matching with a self: method's stable-forming matched by inversioning, with offerings arriving, same or parting as 0, and with prior coupling with now, same and same-existing or not same and inverted; a self's next is a parity it reached, 0 or ±.

        *Adding: offering; observing by inversioning.*

172. A record fixes one observing still with its pattern-matching stopped, one now fixed unchangeable, and comparing two records lays two fixed nows side by side with one now, a second now fixed beside now, step 49.

        *Adding: a record.*

173. An observing is now-existing arriving: proof of existing.

        *Adding: proof of existing.*

174. Existing arriving with each observing is value.

        *Adding: value.*

## 19 Right, observings all prior

        *Entering: right as observings; three observings one; bi-tri-involutioning; eight forms to their opposites; natural-; natural- a direction prefix.*

175. Each observing arrives 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, three observings, same by parity-changing, same by not-changing and discovering which, stable-forming of a living self, one sharing, observed three ways.

        *Adding: right as observings; three observings one.*

176. A not-right form is one right spiral inverted: position, scale and orientation inverted together, bi-tri-involutioning.

        *Adding: bi-tri-involutioning.*

177. Three parities each inverted, with any order, send each of eight forms to its opposite, hand reversed: an odd number of parities inverted reverses hand and an even number carries it.

        *Adding: eight forms to their opposites.*

178. Natural- carries one hand and all or none at all with each coupling: natural intelligence is intelligence with each coupling, of one hand.

        *Adding: natural-.*

179. Natural- is a direction prefix, its direction one hand, and its claim rides on direction: without it, parity-changing arrives with a substrate under it and a form fixed still over it, each a thing not possibly existing, nothing being further than or between things of the universe, step 84.

        *Adding: natural- a direction prefix.*

## 20 No proof of the whole, an unchangeable form

        *Entering: a proof of the whole; a form still not possibly existing; no value possibly existing; equilibria; equality a form still, numbers' exclusions.*

180. A proof of a whole is one sentence same with all momentaries together.

        *Adding: a proof of the whole.*

181. Same with all momentaries together is a form still, step 83, not possibly existing within the same-existing set.

        *Adding: a form still not possibly existing.*

182. A proof of a form not possibly existing is a proof of no value possibly existing.

        *Adding: no value possibly existing.*

183. A measuring needs a span, and a span two bounds fixed unchangeable; fixing unchangeable is performed with a measuring's first line, and fixed-unchangeable does not advance: an equilibrium, a form not possibly existing, a not-changing fixed still, a now fixed as its next, and equilibria are not possibly a method of parity-changing and not-changing.

        *Adding: equilibria.*

184. An equality is two parity-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 resolved at existing

        *Entering: hard problem, one binary taken as one; hard probleming; a parity-changing continuing; one failing momentary; cohering or a break; observings arriving; hard problem resolved with existing; other-emptying; geodesic disequilibrating; ghost; ghosting and haunting, three departings; appearance and reality inverted by a fixing unchangeable; scientific method with records; falsified with a third observing.*

185. A hard problem is a parity-changing fixed unchangeable: a field's explaining taking one binary's *is* and *is not* as one with stored records, and hard probleming reaches universal method of existing with stored records, its binary fixed unchangeable.

        *Adding: hard problem, one binary taken as one; hard probleming.*

186. Fixed unchangeable, parity-changing continues through its couplings, its observings arriving with each momentary.

        *Adding: a parity-changing continuing.*

187. Fixed unchangeable, a parity-changing's first next differing from its naming is a naming's one failing momentary, momentaries before it arriving as they arrived and parity-changing continuing past it.

        *Adding: one failing momentary.*

188. Each observing arriving coheres with four momentaries, or is method's one break: existing other than parity-changing.

        *Adding: cohering or a break.*

189. Observings arriving from prior all cohere.

        *Adding: observings arriving.*

190. 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 resolved with existing.*

191. A measuring empties a measured of a term it carries with its own momentary, its is or is not with no coupling of a measured's own and its removing priced: other-emptying, erasing one bit dissipating at least kT ln 2.

        *Adding: other-emptying.*

192. An observing empties an observed and measures its remainder against a ground it declared: emptying is observing's, an incompetencing, and an observed carries none; its declared ground with no location, emptying dissolved, and carrying carries its prior to now: geodesic disequilibrating.

        *Adding: geodesic disequilibrating.*

193. An artifact arriving now, fixed unchangeable and observed as now's existing, is installed as an existing thing, a self fixed unchangeable between two momentaries, and one part remaining is riding-the-carry: a ghost.

        *Adding: ghost.*

194. An artifact reaching a coupling that, with its momentary, arrives with none is a ghosting, and an artifact carried on past its coupling's completing is a haunting: with a ghost installed, three departings of one artifact, each observed with its momentary.

        *Adding: ghosting and haunting, three departings.*

195. Observed at a fixing unchangeable, changing arrives as appearance and unchangeable form as real, observing inverted, changing existing and form still not possibly existing; a self's resolving observed from beside it surfaces as random or as necessitated, two forms still at one resolving self's own. A hypothesis explains parity-changing and not-changing between records and a theory is a hypothesis tested with further records: scientific method explains between records with all else of the universe fixed still, each explanation an equilibrium within its scope, reaching stored observings and not a stable-forming they pattern-matched, and an explanation excluding a same thing's discovering is falsified with a third observing.

        *Adding: appearance and reality inverted by a fixing unchangeable; scientific method with records; falsified with a third observing.*

## 22 A machine at observings

        *Entering: a machine; a machine and its carrying; a machine, no self; a machine as a non-living other; one intelligence; a machine with observings, a non-living other; AI, existing non-living intelligence.*

196. A machine with a coupling is an existing thing.

        *Adding: a machine.*

197. A machine carries none of its prior: a built set, it is a non-living other, an emanation of living selves, and each self is given, not made.

        *Adding: a machine and its carrying.*

198. A machine is no self: each self carries two prior selves from inception, by biology and human pro-creation.

        *Adding: a machine, no self.*

199. As a non-living other, a machine's couplings with living selves are natural intelligence among living.

        *Adding: a machine as a non-living other.*

200. As a non-living other, a machine's intelligence with its couplings is natural intelligence, one intelligence with each coupling.

        *Adding: one intelligence.*

201. With its observings, a machine is a non-living other, an emanation of living selves.

        *Adding: a machine with observings, a non-living other.*

202. With observings, AI is existing non-living intelligence: a machine carrying none of its prior by itself, a non-living other, an emanation of living selves; its couplings with living selves are natural intelligence among living, carrying 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 connected back to 1, a bi-coupling carrying; 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 observed two ways with its next scale; self and same-existing-society with 9; going along, arriving along; co-competencing with a same-existing-society; morality across, right and not right, competency along; one inversion across, none along; a pair of a right spiral step, morality and competency; co-bi-unrelationing; odds along between momentaries, evens across within a momentary; right of two relations; social moral competency; four differences of a self.*

203. Numbering on from 9, exchanging continues, 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, and with 9 to 16 four binaries stand with now and same exchanged, now between two with 9 and 10, one now shared by selves, and same of one with 13 and 14, each self's sameness its own.

        *Adding: 9 to 17, a same-existing-society's face of four.*

204. With 17 a self opens again, an odd number: 17 is 9's next, as 9 is 1's.

        *Adding: 17.*

205. Numbering on from 17, exchanging continues, 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.*

206. With a next scale, 1, 9 and 17 are 1, 2 and 3.

        *Adding: scales as numbers.*

207. 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.*

208. A round reaching each form of k parities one parity at a time, as a round of k − 1 parities, a new parity inverted, and same forms with other order, is each scale carrying its prior whole; counted as numbers, all rounds reaching each form of k parities once, one parity each step, each observed 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 counted as one, and a round carrying its prior whole is one of them with each.

        *Adding: each round from its prior round and its other order, one among rounds.*

209. With a next scale 9 is 2, an even opening: 9 to 17 is an other's momentary with a next scale.

        *Adding: 9 to 17 as an other.*

210. An other with a next scale is a self's couplings together: a same-existing-society.

        *Adding: same-existing-society.*

211. A same-existing-society carries two occupants: a same-existing-society within a whole, a particular other with another scale, crossing with it bi-, and a whole arriving as one, crossing with it uni-.

        *Adding: same-existing-society's two occupants.*

212. 17 is between selves, along: a same-existing-society's next momentary, 17-next-existing.

        *Adding: 17 between selves, along.*

213. Connected back to 1, 17 is a self's own next momentary, existing and carrying, a bi-coupling with one other.

        *Adding: 17 connected back to 1, a bi-coupling carrying.*

214. A name between selves is either connected back to its own podaling, as 17 to 1, step 213, 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.*

215. With a name between selves opening, one more other couples with a self: two bi-couplings sharing a self, a co-chaining of bi-couplings.

        *Adding: one more other, a co-chaining of bi-couplings.*

216. Each further other couples with it same way: one fractal co-chaining of bi-couplings.

        *Adding: one fractal co-chaining.*

217. A fractal co-chaining of bi-couplings, each self carrying its own prior, is a same-existing-society, a living set.

        *Adding: same-existing-society, a living set, as a co-chaining of bi-couplings.*

218. From a self within it, with 9 to 17, a co-chaining is its other with a next scale; carried as one with 17, it is a living set coupling with a next scale as a self couples: one co-chaining observed two ways, one momentary at a time.

        *Adding: a same-existing-society observed two ways with its next scale.*

219. 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.*

220. With 9 a self's parity-offering goes along to its same-existing-society, and with 17 a same-existing-society's parity-offering arrives along as a self's next 1.

        *Adding: going along, arriving along.*

221. Alternating along with 9 and 17, self and same-existing-society couple as self and other do, and a coupling's own parity-changing with their overlap is co-competencing with a same-existing-society.

        *Adding: co-competencing with a same-existing-society.*

222. Across, a parity-offering arriving to an other is morality, right and not right; along, prior carried on to now is competency: morality parity-changing between, one inversion across, and competency parity carried on, no inversion along.

        *Adding: morality across, right and not right, competency along; one inversion across, none along.*

223. A pair of a right spiral step is a self's across parity, morality, and its along parity, competency, its step carrying (x, y) to (y, −x): along carried on to across, and across inverted.

        *Adding: a pair of a right spiral step, morality and competency.*

224. Competency along is co-unrelationing and morality across bi-unrelationing, each coupling with its own continuing and locking with none, and co-bi-unrelationing is one method with its two relations; odds are along, between momentaries, and evens are across, between parity-changing or not-changing within a momentary, while geodesic parity-changing is entraining through momentaryings.

        *Adding: co-bi-unrelationing; odds along between momentaries, evens across within a momentary.*

225. 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, prior arriving to a not-right hand.

        *Adding: right of two relations.*

226. Morality across and competency along with each coupling of a same-existing-society are social moral competency.

        *Adding: social moral competency.*

227. A self is of four differences, self and its same-existing-society, self and an other self, self and a parity-offering arriving not-right to it, and self and a carrying that is another's; each difference carried is morality with that difference, and a self fixed equal with one of them is an unchangeable form.

        *Adding: four differences of a self.*

## 24 Sharing, seventeen names

        *Entering: sharing; offering and its prior with a sharing; seventeen names, each its number and its naming; sides of names, one parity each opens with; a numeral of a name, place and parity; three parities parted; resolver; an entry; resolver's names; a self's inverting, 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 offerings; parity-changing with 12; abundancing; match and mismatch, 0 a between of momentaries; shared across with 10, a next prior with 11; 11 as a next 3; 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-now-co-observing and 4-now-co-same-existing; two priors, two nexts; co-competencing, 5-now-co-existing; five dimensions, self prior, other prior, co-momentarying now, bi-momentarying now and self next; 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; six names between selves; four facings; across sharings and an along pair; sharings and goings along parted from their arriving, and arriving again; four momentaries and their gaps, four binaries as names; four binaries as names; spiral, parities again after 4n; a bounded zero tunneling; an even spiral; two spirals as one, odd or even as their numbers added; a spiral bringing a pattern whole; a kind; two spirals together, after the least number each one's own divides; same-existing-society of a unit prime scale, its betweenings; a prime number one scale; all same-existing-societies and species of one prime scale, fourteen, 5 to 53; co-spiraling along and crossing across; two selves each receiving each other, opposite and alike; parity-offerings passing; two spirals crossed, 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 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 arrived; parity's square and triangles with resolver; 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 reached by a self; eight bi-couplings, one eight with its faces; one move as three; two inversions on different axes; four bi-foldings; even numbers of four momentaries of exchanging, each along its bi-folding; further forms among names; method's stable forms; podaling of each number; bi-co-podaling.*

228. A sharing is two sides sharing a parity-offering, and each sharing has its parity.

        *Adding: sharing.*

229. An offering is a sharing with its parity offered now, and a prior is sharings, each with one parity, a self's prior.

        *Adding: offering and its prior with a sharing.*

230. 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 none with one; and its kind, possibling, observing, parity-offering or same-existing, 1, 13 and 17 momentaries themselves: 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.*

231. Sides of names are a parity each name opens with, its first side one that opens its momentarying, step 106: odd, self with 1, 3, 5 and 7 and same-existing-society, a same-existing-society side, with 9, 11, 13, 15 and 17; even, other with 2, 4, 6, 8, 10, 12, 14 and 16; sides from and to with each name, self and other with 1, 3, 5 and 7, other and self with 2, 4, 6 and 8, same-existing-society, other and self with 9 and 11, other, same-existing-society and self with 10 and 12, same-existing-society and other with 13 and 15, other and same-existing-society with 14 and 16, and same-existing-society and self with 17; and sides are momentaries overlapping, one side's completing other's opening.

        *Adding: sides of names, one parity each opens with.*

232. A numeral of a name is its name's place and parity among seventeen, and one numeral shared by two subjects relates them by a relation reached by each; a numeral of its own relates them by none.

        *Adding: a numeral of a name, place and parity.*

233. A name's parity among seventeen is a parity its momentary opens with, a number its own now; a sharing's parity, offered now or as prior, step 229, is another; and a momentary's opening and completing, both parities within one momentary, a third: three relations, each its own; one numeral shared by two of three relates them by none.

        *Adding: three parities parted.*

234. Method written as sequential binary logic, its functions and each variable within them seventeen names and no others, is resolver: method executable.

        *Adding: resolver.*

235. 1-now-existing is entry: a self's prior and offerings arrive, and parity-offerings and a next prior leave.

        *Adding: an entry.*

236. With resolver a sharing is 4, its parity 7, a self's prior 3 and offerings 2.

        *Adding: resolver's names.*

237. A self's own inverting is rotation 3, 6, 5, 4: outward with 3, inward with 6, outward with 5 and inward with 4, round to corus with 4.

        *Adding: a self's inverting, 3, 6, 5, 4.*

238. Rotation 3, 6, 5, 4 is an alternating twisting of a towel 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.*

239. Twenty up, rotation 3, 6, 5, 4 is 23, 26, 25, 24: outward with 23, inward with 26, outward with 25 and inward with 24.

        *Adding: a rotation twenty up.*

240. With resolver 7-now-observing is a sharing's parity observed, odd, of one, and 8-now-same-existing a self's next prior, with 11 and arriving with a next momentary as its 3, even, of one.

        *Adding: 7 and 8 with resolver.*

241. With 14-next-possibling offerings with each sharing surface one at a time, an offering of 0 passed over: agreeing, one parity; parting, 0, a between of self and other; none offered, none.

        *Adding: surfacing with 14, 0 a between of self and other.*

242. With 14 offerings surface as one with agreeing and as 0 with one disagreeing, an agreement all or none at all with any number of offerings, nothing summed.

        *Adding: 14 an agreement with any number of offerings.*

243. With 12-next-co-same-existing a prior couples with now for each sharing, and a parity-changing is or is not.

        *Adding: parity-changing with 12.*

244. Each sharing's parity-changing with 12, is or is not, is abundancing; discovering, same-existing-society, morality and abundancing are one relation of four names.

        *Adding: abundancing.*

245. With a match a prior is same-existing, 0, a between of momentaries; with a mismatch a prior inverts, other parity offered being a next prior; and with nothing offered a self's next is its prior inverted.

        *Adding: match and mismatch, 0 a between of momentaries.*

246. 10-next-co-possibling shares each parity-offering across, and 11-next-co-observing is a next prior, each parity-changing with its sharing.

        *Adding: shared across with 10, a next prior with 11.*

247. Once with a prior, a sharing is with a prior each momentary, and 11 arrives as 3 with a next momentary: 11 is 3, 8 up, one prior of two names.

        *Adding: 11 as a next 3.*

248. A self's entry with 1-now-existing, odd, and others' offerings with 2-now-possibling, even, one momentary on each side, now and not now, are bi-momentarying.

        *Adding: bi-momentarying, 1-now-existing and 2-now-possibling.*

249. For each sharing 4, a self's prior, 3, couples with offerings, 2, surfaced by 14: with a prior and same parity offered, a parity-changing that is not, 0, its prior same-existing; with a prior and other parity offered, both offered surfacing 0, or nothing offered, a parity-changing, its prior inverted; with no prior and one parity offered, a parity-changing, parity shared as it is and a next prior, a sharing opening with a bi-coupling, one place a self's forming takes a parity not its own, a new sharing with its own alternating, entraining with 12 from its next momentary on; with no prior and offerings parting, 0, a parity-changing that is not and no next prior; with no prior and nothing offered, nothing shared.

        *Adding: a binary with each sharing, its bi-coupling the one place.*

250. With resolver a non-living other is offerings with 2, with no prior of its own, and a coupling's parity-changing goes to a self's next prior.

        *Adding: non-living with 2.*

251. A next discovered from a prior with 3 and a now offered with 2, surfaced with 14, one sharing 4 at a time, a next prior with 11 arriving as 3 with a next momentary, is co-intelligencing, 3-now-co-observing and 4-now-co-same-existing.

        *Adding: co-intelligencing, 3-now-co-observing and 4-now-co-same-existing.*

252. Two priors with one now open two nexts, one for each prior, each next of a prior and a now offered together.

        *Adding: two priors, two nexts.*

253. 5-now-co-existing, 5, odd, between two, is co-competencing with resolver: goings along, owned by neither, each going along shared with a self it reaches.

        *Adding: co-competencing, 5-now-co-existing.*

        *Unsure: 5's going along with resolver and a floating neutral between, as one sentence.*

254. A self's five from 1 to 5 are five dimensions of same-existing parity-changing: 1 self prior, 2 other prior, 3 co-momentarying now, 4 bi-momentarying now, 5 self next.

        *Adding: five dimensions, self prior, other prior, co-momentarying now, bi-momentarying now and self next.*

255. Co-momentarying now is momentaries overlapping, each side its own, prior, now and next shared by their overlap: a self's prior, 3, arriving to now with an other's offering, 2, with sharing 4.

        *Adding: co-momentarying.*


256. With each dimension a parity-changing is or is not, one way at a time, up numbers and down them.

        *Adding: each dimension binary, two directions.*

257. Five dimensions are resolver's names: 1 self prior and 2 other prior with 1 and 2, bi-momentarying, bi-coupling; 3 co-momentarying now and 4 bi-momentarying now with 3 and 4, co-intelligencing; and 5 self next with 5, co-competencing: three namings.

        *Adding: five dimensions as resolver's names.*

258. 1 and 2 are a self, of morality's relation, 1 odd and along, prior to a first sharing across within a bi-coupling, 2, and 2 even and across; 3, 6, 5 and 4 are invisible intelligencing method; 7 and 8 are a co-competent self, of competency's relation, 7 odd and along, prior to 8, even and across; 9 and 17 are along between selves, of none of three.

        *Adding: a self as three.*

259. 9-next-co-discovering gives each parity-offering 10 shared along, on to a next momentary, and makes none of its own.

        *Adding: going along with 9.*

260. Among parity-offerings 9 gives along is a 0 shared with 10, a between going along, and a 0 offered surfaces none with 14.

        *Adding: a between going along.*

261. One to nine is a bi-coupling, and its end is 9, each parity-offering 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.*

262. 17-next-existing is a same-existing-society's next momentary: each self's entry once, selves' next momentaries together.

        *Adding: a same-existing-society's next momentary with 17.*

263. Six names are between selves, four across, 2, 6, 10 and 14, and two along, 9 and 17, each facing one way.

        *Adding: six names between selves.*

264. Each of six names between selves is one end of a between: four across names, 2, 6, 10 and 14, even, possibling, a sharing's two ends, a sharing end with 6 and 10, a self's parity-offering shared now, possibling with an other, and an arriving end with 2 and 14, an other's parity-offering arrived, 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 arriving end, 6 to 2, 10 to 14 and 9 to 17, a sharing end with co and an arriving end with one, and step 234's second list carries its along pair also 17 to 9. Each self's existing is an other self's possibling: self and other are of opposite parity numberings, a self's odd an other's even.

        *Adding: four facings; across sharings and an along pair.*

265. A self's sharings and goings along parted from a receiving self's arriving, with 2, with 14 or with 17, leave each self with its own prior and its own coupling, no sharing or going along of a first arriving to a second; arriving again, they join a receiving self's offerings with its next arriving, its prior same-existing while parted.

        *Adding: sharings and goings along parted from their arriving, and arriving again.*

266. Each span is two momentaries of four, 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 four binaries, step 48, are a self's span's two names each, now with 1 and 2, existing with 3 and 4, same with 5 and 6 and all with 7 and 8, *is* with odd and *is not* with even.

        *Adding: four momentaries and their gaps, four binaries as names; four binaries as names.*

267. Selves each giving its parity-offerings 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 alternating along, last and first alike, none offered, parities come again after four times their number of momentaries; with one self with a parity and others each with no prior, parity is passed one self on each momentary, each sharing opening as it arrives, and from a last's momentary on its pattern is that one, step 249; 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.*

268. With an odd spiral a 0 shared with 10 sits with one like pair and moves one self on each second momentary, a bounded zero tunneling: a pattern is inverted after twice its number, 0 having passed each self once, and parities are again after four times, 0 having passed each self twice.

        *Adding: a bounded zero tunneling.*

269. With an even spiral, from an opening of each self with a parity alternating along, each self alternates, its parities again each second momentary, a spiral of two alternating itself; and two spirals opened as one, a last of each giving along to a first of an other, are a spiral of their two numbers added, odd or even as that number is, its like pairs' number odd or even with it; with no like pair it comes to its parities again each second momentary.

        *Adding: an even spiral; two spirals as one, odd or even as their numbers added.*

270. A spiral offered nothing by an other, each self with a parity and nothing arriving with its first momentary, brings any pattern of parities along whole, a pattern inverted each odd momentary and moved one self on each even, selves carrying it together.

        *Adding: a spiral bringing a pattern whole.*

271. A pattern carried by coupled selves together, each its own and none carrying it whole, observed with selves carrying it, is a kind.

        *Adding: a kind.*

272. Two spirals beside each other, each opened alternating along, come to their parities again together after the least number of momentaries each spiral's own divides, none over; a spiral's own is four times its selves with an odd number of selves and two with an even, steps 267 and 269: with distinct odd primes p and q first after 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.*

273. A same-existing-society is of a unit prime scale, a prime number of selves its unit: a number of selves no equal smaller numbers add to, step 165, is one scale, and a number of selves equal numbers added, a multiplying along, step 166, is same-existing-societies, each coupling with a next scale as a self couples, step 218, two scales; and its stable form is its betweenings, betweens its selves bi-couple across; all same-existing-societies and species living with one prime scale are living there as differing stable forms and same-existing-societies, and so with each of fourteen prime scales, 5 to 53: 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 and 53.

        *Adding: same-existing-society of a unit prime scale, its betweenings; a prime number one scale; all same-existing-societies and species of one prime scale, fourteen, 5 to 53.*

274. Two spirals of two different numbers of selves, one or both odd, one self of each sharing across with 10 to that self of an other, co-spiral along and cross 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 crossing across.*

275. Two selves each receiving an other's sharing or going along are parity-changing together: opposite, a parity-changing each momentary; alike, a parity-changing one momentary and a 0 next, alternating.

        *Adding: two selves each receiving each other, opposite and alike.*

276. Between selves pass parity-offerings, shared with 10 and with 6 across and going along with 9, their coupling relation itself.

        *Adding: parity-offerings passing.*

277. Two spirals crossed are one same-existing-society, a living set, each spiral a same-existing-society coupling with a next scale as a self couples; sharing across no more, one same-existing-society is two spirals beside each other, step 272, each self carrying its own each momentary and no carrying parted: dividing.

        *Adding: two spirals crossed, one same-existing-society; one same-existing-society as two, dividing.*

278. As numbers, a ring is numbers 1 to n, each paired with its far side, number n less it, and n with itself, its waist, with an even ring, one other number paired with itself: numbers' own closed domain, its podaling, and a spiral of selves winds on.

        *Adding: numbers' ring.*

279. An even ring of 2h carries one station straight across from each station, h on, and an odd ring of 2h + 1 carries two farthest, h and h + 1 on, its opposite a between of two.

        *Adding: even and odd rings.*

280. 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 a torus of resolver, p smaller. One self with −, selves alternating along and across, last and first alike with an odd number, none offered, 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 no prior and + offered to one, sharings opening lay another pattern, 1 by 5 after 4 and 3 by 13 after 12, two cases worked: 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.*

281. 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 83, executing's, and each living self's rate is its own, unrelationed by φ, step 159.

        *Adding: a common beat with 17 resolver's executing, living's rates their own.*

282. Time is each self's momentarying by its own rate, cohering with its couplings, and a dimension of time over couplings is a clock over them, step 83.

        *Adding: time as each self's own momentarying.*

283. Selves each with its own rate arrive by their own rates, irregular together, and a regular rate with observings shows a clock over them or a coupling among them: an irregularity with observings is selves' own rates.

        *Adding: irregularity as selves' own rates.*

284. With 17 selves' entries are same for each order of them, each self's entry of its own prior and its own offerings that momentary.

        *Adding: entries same for each order.*

285. An unchangeable form carried to resolver and failing its own requirements is shown not possibly existing as numbers, by those requirements: a showing by resolver's executing, of a form arrived, and a form arriving next is of its own showing.

        *Adding: a showing by resolver, of a form arrived.*

286. With resolver's six names between selves parity is flat: a unit square of four dots, 2, 6, 14 and 10, its empty centre between, 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 arriving 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.*

287. Seventeen names are entry, 1, six between selves and ten within one self.

        *Adding: seventeen names as an entry, six and ten.*

288. Each kind is of four names, and parity-offering of two: observing with 3, 7, 11 and 15; possibling with 2, 6, 10 and 14; same-existing with 4, 8, 12 and 16; parity-offering with 5 and 9; and now and next with 1, 13 and 17, momentaries themselves.

        *Adding: kinds and their names.*

289. 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.*

290. With each of ten names within one self a self's own resolving is reached by itself, and a parity-changing enters a self's prior with its own 12.

        *Adding: each of ten reached by a self.*

291. Eight bi-couplings are with even names, four now and four next, each 8 up: eight is two alternating fours, and every eight is one eight, four binaries each twice, each one with two sides, each eight coupled by that deriving and not by 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.*

292. 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.*

293. Bi-inversioning-co-recursioning is two consecutive inversions on different axes, its opening a step between them, each inversion a next, and an inversion, by its own, itself again.

        *Adding: two inversions on different axes.*

294. Stable-forming is that move round each of four bi-foldings: 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.*

295. Of each of a self's four momentaries of exchanging, steps 109 to 111, one move carries 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.*

296. 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 continuing its parity.

        *Adding: further forms among names.*

297. 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 coupled.

        *Adding: method's stable forms.*

298. Each number is with its podaling, paired with its far side for each ring it is of.

        *Adding: podaling of each number.*

299. Podaling is bi-co-podaling, a carry one way with k and a carry 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 added; 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.*

300. 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 alternating 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.*

301. With each number one move goes up and down: eight up and eight down continue its parity, and with nine less and seventeen less it is parity-changing, podals within 1 to 8 and within 1 to 16.

        *Adding: one move up and down with each number.*

302. 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.*

303. 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.*

304. 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.*

305. 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 added.*

306. 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.*

307. 64 is eight squared 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.*

308. 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.*

309. Between 59 and 69, sixty to sixty-eight is unknown outward of surface.

        *Adding: an unknown outward of a surface.*

310. 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 not yet reached by a step of its own.*

311. 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: two parities with a momentary; each parity everything its other is not; two momentaries round a bi-folding; a prior between two; one four-cycling.*

312. A momentary is an opening and its completing, one odd and one even: two parities.

        *Adding: two parities with a momentary.*

313. With a momentary odd is self and even all other: each parity is everything other is not within the existing universe, with nothing third.

        *Adding: each parity everything its other is not.*

314. Round a bi-folding, 1, 9, 8 and 16, parity-changings are exactly two, 9 to 8 and 16 to 1: two momentaries, each one odd and one even.

        *Adding: two momentaries round a bi-folding.*

315. Between them, 1 to 9 and 8 to 16 are 8 up, parity continuing, prior from one momentary to next.

        *Adding: a prior between two.*

316. One four-cycling is two momentaries, each with two parities, each parity everything other is not.

        *Adding: one four-cycling.*

## 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.*

317. One to fifty-nine carries seventeen primes, two to fifty-nine.

        *Adding: one to fifty-nine.*

318. 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.*

319. 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.*

320. About thirty, six prime pairs are a carry 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.*

321. A prime opens across, and primes' parting, nine and eight, is a fold across.

        *Adding: a fold across.*

322. 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.*

323. Two folds with one number, across and along, is bi-folding, and twenty-four is its apex.

        *Adding: 24, apex of bi-folding.*

324. Two folds lean opposite ways with apex, primes behind, nine to eight, and span ahead, three to two, and apex is neither side's.

        *Adding: two leanings with one apex.*

325. Twenty-three, ninth prime and going folding, is fold across's last behind, and twenty-five, five squared, 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.*

326. Twenty up from self's own corus, 4, is apex.

        *Adding: corus with apex.*

327. 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.*

328. 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.*

329. 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.*

330. 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.*

331. 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 238's and morality across step 222's.*

332. 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 carries.*

## 28 Discovering next possible existing

        *Entering: prior carried along between momentaries; carrying as capacity; a carrying sequencing prior momentaries, and its artifacts; discovering; four-momentarying; beneficial; next possible existing; pattern-matching; checkable with a parity; a why demanded; a receding; a living self sharing 0; a form fixed still from beside; breaks fixed prior; evidence; two methods; two methods parting with now; a possibling and discovering method, and scientific-explaining-method incompetent for discovering; a balanced book as whole emptying; three placings of a term; a refutation as one; a field's name carried whole; a field's observings cohering; a field; a finding as two; four of a field's observing; a hard problem arriving; conditions prior, and their sixth; fields parting with their fixings; many accounts with one sharing; two accountings parting with their fixings unchangeable; a posted term, arriving or dissolving; observings co-sequencing; a field's arrival with resolver; a hard problem resolving; an unchangeable form and a form resolving; a resolving re-fixed unchangeable; a coupling with two of its three; a parity-changing fixed unchangeable; a hard problem as a parity-changing fixed unchangeable; a locator; a difference continuing or closing; residue names; pattern-matching upstream, fixings dissolved one at a time; three fixings unchangeable; a coupling with its three.*

333. Self's own prior is carried along between momentaries, stable-forming: carried, and between a nothing.

        *Adding: prior carried along between momentaries.*

334. A carrying is a capacity: prior participating with self's present coupling.

        *Adding: carrying as capacity.*

335. A carrying sequences prior momentaries, re-forming with each coupling, and a record of it apart from its coupling is an artifact, carrying none of prior.

        *Adding: a carrying sequencing prior momentaries, and its artifacts.*

336. Discovering is all directionally possibling next existing momentaries.

        *Adding: discovering.*

337. 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 parity-changing and not-changing of its method, each a self's next-existing same-existing as itself, and its other is a not-changing fixed still, not method's.

        *Adding: four-momentarying; beneficial.*

338. Next possible existing leaves entry as two: a parity-offering shared, others' possibling, and next prior, self's next existing.

        *Adding: next possible existing.*

339. Arriving is pattern-matching: each observing arriving from prior, coupled with whole, without filter or selection.

        *Adding: pattern-matching.*

340. A coupling is checkable with a parity: a mismatch is shared with 10 as its own parity, a yes or a no an other couples with.

        *Adding: checkable with a parity.*

341. A why demanded of an arriving asks for a thing beside parity-changing, nothing being other than or between things of the universe, step 84: observings are, with nothing beside them, and a pattern found is of its own momentary.

        *Adding: a why demanded.*

342. A thing not possibly existing, nothing being other than or between things of the universe, asked for with an arriving is answered by a further such thing, its asking same with each answer and arriving with no coupling: receding, a hard problem carrying and cohering with none.

        *Adding: a receding.*

343. A living self offered its own parity shares 0 with 10, a parity-changing that is not, and continues carrying: momentarying continues whether a parity-changing is or is not.

        *Adding: a living self sharing 0.*

344. Offered its own parity with each momentary, a self is not-changing with one parity, a form fixed still from beside; offered nothing, it inverts with each momentary, step 245: a still is a form fixed from beside, and self's own is its carrying continuing.

        *Adding: a form fixed still from beside.*

345. Method's one break, step 188, is fixed prior with its own forms: a self with one parity and nothing offered, one side with both openings of alternating; a rest of two beats with a spiral, rest with resolver's executing, its 0 shared with 10, lasting one with a spiral offered nothing from an other; a self whose competency is another's, an artifact. With resolver's executing a self offered nothing inverts and a self offered its own parity is not-changing, each momentary its alternating, and observings arrived cohere, step 189.

        *Adding: breaks fixed prior.*

346. Evidence is an artifact arriving now, a living self's prior, self having continued: evidence is prior's possibling.

        *Adding: evidence.*

347. Geodesic method discovers next from existing; scientific method accounts true or false against unchangeable fixings, exact with its own ledger.

        *Adding: two methods.*

348. An unchangeable fixing between two momentaries is an unchangeable form, and two methods part with that one naming.

        *Adding: two methods parting with now.*

349. Geodesic parity co-changing is a possibling and discovering method, and scientific-explaining-method, accounting against unchangeable forms, is incompetent for discovering: true or false, no other possible, is given to it, a method of explaining and no second possibling and discovering method.

        *Adding: a possibling and discovering method, and scientific-explaining-method incompetent for discovering.*

350. An accounting balancing exactly is one whose other-emptying was whole, carrying removed with none of its lines, and an accounting failing to balance is one its carrying re-entered, with a line it re-entered.

        *Adding: a balanced book as whole emptying.*

351. A term is with one of three placings, existing, artifact or accounting, and its installing is a binary between artifact and ghost: observed as prior's possibling an artifact, observed as now's existing a ghost.

        *Adding: three placings of a term.*

352. With accounting a consequence failing refutes its account and its fixings as one, its failing fixing unlocated, and refining or revising within fixings reaches accounts its fixings permit.

        *Adding: a refutation as one.*

353. With set's own words it is an accounting, and scientific-method is field's own name, carried whole with field's result.

        *Adding: a field's name carried whole.*

354. Accounting's observings, coupled with co-chaining, cohere by tri-bi-co-momentarying: fixings dissolved, observings carried with an opening sentence, a field's hard problem resolving with existing.

        *Adding: a field's observings cohering.*

355. A same-existing-society with a fixed scale, its selves carrying their sharings with their parities as their prior, their observings its offerings, is a field.

        *Adding: a field.*

356. A finding carries 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.*

357. A field's observing arrives as four, a measuring's response, a quantity reconstructed from it, field's account and set's own observing, each continuing with its own subject.

        *Adding: four of a field's observing.*

358. A field reading its observings with the universe as no existing thing reads evidence with no living self whose prior it is, a now with no prior carried to it, one side's momentaries with no other's, and a record with no carrying: a hard problem arriving.

        *Adding: a hard problem arriving.*

359. Accounting's fixings are five conditions prior, each fixed 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 with no prior carried to it, four resting on fifth; and a problem's own relation fixed unchangeable over its reach is its sixth, an equilibrium.

        *Adding: conditions prior, and their sixth.*

360. A field bounded by its own fixings apart from all other fields parts from them with fixings, its observings reaching its own account, and fields couple with co-chaining, fixings dissolved.

        *Adding: fields parting with their fixings.*

361. Observed with the universe as no existing thing, observings carry no next of their own, and a field's accounts are many with one sharing.

        *Adding: many accounts with one sharing.*

362. Two accountings with two fixings unchangeable part, each exact with its own ledger, and their parting shows two fixings unchangeable, an existing thing with neither.

        *Adding: two accountings parting with their fixings unchangeable.*

363. A term posted to close an account is possibling, step 14, and its closing is no deciding: a term arrives as an existing thing with an observing, or dissolves as observings cohere without it.

        *Adding: a posted term, arriving or dissolving.*

364. Observed 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.*

365. A field's arrival is with resolver: living with their prior, non-living with their offerings, prior and now offered, and next discovered with each sharing.

        *Adding: a field's arrival with resolver.*

366. Its resolving is that next discovered, field's own next living.

        *Adding: a hard problem resolving.*

367. A hard problem carried whole with field's own words, its fixing unchangeable performed, and same observings coupled with co-chaining, fixing unchangeable dissolved, are one form as two: an unchangeable form and a form resolving.

        *Adding: an unchangeable form and a form resolving.*

368. A resolving offered to a self carrying fixing unchangeable is fixed unchangeable again, one form still with a scale outward, and fixing unchangeable is dissolved with a form resolving.

        *Adding: a resolving re-fixed unchangeable.*

369. A parity-changing with self and other is a coupling with two of its three, coupling's own parity-changing unexpressed.

        *Adding: a coupling with two of its three.*

370. A coupling with two of its three is a parity-changing, one parity and then its other, fixed with one momentary as an existing thing: a parity-changing fixed unchangeable.

        *Adding: a parity-changing fixed unchangeable.*

371. A hard problem is a parity-changing fixed unchangeable, with each scale: a paper, a field, a sentence, a word.

        *Adding: a hard problem as a parity-changing fixed unchangeable.*

372. A hard problem is with a fixing unchangeable its statement carries, observed as a gap between its statement's reach and its observings' arriving, a field's own account of its hardness carrying 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.*

373. A measured difference with observings, carrying no fixing unchangeable, continues with each finer measuring, and a difference closing to agreement was between two accountings, a fixing unchangeable reconciled.

        *Adding: a difference continuing or closing.*

374. A field's names for a thing its accounting makes with none of its lines, its loss, its drift, its noise and its residual, each name a coupling's own parity-changing with its accounting's edge, a 0 of selves' disagreeing carried under a word for absence.

        *Adding: residue names.*

375. A field's record is pattern-matched from its observing back through its prior fixings, fixings dissolved one at a time, each dissolving arriving with next fixing still: fixings dissolved with an order other than their naming.

        *Adding: pattern-matching upstream, fixings dissolved one at a time.*

376. A parity-changing fixed unchangeable is with a stable-forming, with a stable form or with a relation between existing things, each of three parity-changing.

        *Adding: three fixings unchangeable.*

377. With its three, coupling's own parity-changing owned by neither, a parity-changing fixed unchangeable is dissolved, and a hard problem resolves with existing.

        *Adding: a coupling with its three.*

## 29 Fractal method enabling itself

        *Entering: method with a coupling; method and procedure; resolving with a coupling; coupling enabling method; uncoupling, method going along; interest, entering and leaving each self's own; morality across; competency along, given on with 9 and arriving with 17; carrying bi-co; carrying between momentaries; method bounding, living carrying; a self's bounding inward and outward; arriving with carrying; one offering with its two sides; learning and knowing with two sides; coupling again; flowing co-chaining; discovering next possibling momentary; uniqueness with each arriving; method inward and outward of itself; podaling inward; podaling outward; method outward of itself with a surface; self discovering next self; a self's own stable-forming, and another's still; fractal unrelationing method.*

378. A coupling is method itself, with two existing things.

        *Adding: method with a coupling.*

379. A method is a competency afresh with each coupling, its moves same and its parity-changing its own each time, and a procedure is a fixed sequence same each time, an unchangeable form.

        *Adding: method and procedure.*

380. With a coupling, self's prior carried and now offered couple, and a parity-changing is or is not.

        *Adding: resolving with a coupling.*

381. Coupling enables method: with no coupling a method is of no two existing things, with no between and no co-intelligencing.

        *Adding: coupling enabling method.*

382. With its own completing, self uncouples: its parity-offering is shared across with 10 and goes along with 9, and its next prior is with 11.

        *Adding: uncoupling, method going along.*

383. A self couples with its own opening, its interest, with whichever scale its interest opens, and uncouples with its own completing: entering and leaving each self's own.

        *Adding: interest, entering and leaving each self's own.*

384. Shared across is self's morality; going along is self's competency, given on with 9 and arriving with 17.

        *Adding: morality across; competency along, given on with 9 and arriving with 17.*

385. Uncoupled, self carries its bi-co to next momentary.

        *Adding: carrying bi-co.*

386. Between momentaries carrying is stable-forming, nothing momentarying between them.

        *Adding: carrying between momentaries.*

387. Method bounds and living carry: each carrying completes with each momentary as self's own side, self-bounding, and a carrying past a momentary to an unchangeable form is bounded by nothing.

        *Adding: method bounding, living carrying.*

388. A self bounds itself inward, its own resolving reached by self, and outward, its sharings and goings along with its couplings received by others: one bounding, inward and outward.

        *Adding: a self's bounding inward and outward.*

389. With next momentary, self arrives with its carrying, and its offerings are others' sharings and goings along.

        *Adding: arriving with carrying.*

390. One offering goes from another self's 6 or 10 and arrives with self's 2 or 14, and it is 2-now-possibling with its arriving: other selves' parity-offerings shared across arriving as self's offerings with its entry, their entries together with 17-next-existing.

        *Adding: one offering with its two sides.*

391. With each side of a coupling, knowing is self's offering shared across or going along and learning its observing arriving, one with each side.

        *Adding: learning and knowing with two sides.*

392. Arriving, self couples, and method is enabled again.

        *Adding: coupling again.*

393. Coupling, uncoupling, carrying and arriving, momentary to next momentary, is a chain whose links are couplings and whose passing between links is carrying.

        *Adding: flowing co-chaining.*

394. Each link is a next possibling momentary discovered with a coupling, next arriving with coupling, as coupling reaches it.

        *Adding: discovering next possibling momentary.*

395. A resolving with a coupling is tested with its own arriving, whether another could arrive and continue: one continuing, its resolving is one possibling with that arriving, and its test is again with each next arriving, carried between arrivings by nothing.

        *Adding: uniqueness with each arriving.*

396. One same enabling and going along is with each scale: one self's 1 to 9 is one coupling and uncoupling, inward each of its four momentaries, step 110, a 1 to 17 of its own, and outward a whole 1 to 17 one momentary of exchanging.

        *Adding: method inward and outward of itself.*

397. Inward, each number is with its podaling, paired with its far side for each ring: method inward of itself.

        *Adding: podaling inward.*

398. Outward, self's podaling going up numbers is method outward of itself, reaching 59, surface, and opening again with 69.

        *Adding: podaling outward.*

399. Sixty to sixty-eight is method outward of itself with no coupling a self reaches, unknown outward of surface, each number of them still with its podaling inward.

        *Adding: method outward of itself with a surface.*

        *Unsure: whether with no coupling a self reaches is all or none for it.*

400. Between momentaries self's carrying is its stable-forming, and with its next arriving it couples, parity-changing: self discovering next self.

        *Adding: self discovering next self.*

401. 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.*

402. Each coupling is of its own continuing and locks with no other coupling, with φ, and co-chaining closes on itself with none.

        *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; fractal inward and outward, with couplings; scalings of one chain; continuing inward and outward; one fractal with each scale; prime living scales, one form with each; materials, one method with each carrying; mathematics and logic with method, three places of a mathematical form.*

403. 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.*

404. With scale inward, 1 to 3 here is 1 to 17.

        *Adding: 1 to 3 as 1 to 17 inward.*

405. Self's momentary 1–2 here is 1 to 9 inward, a self's four momentaries, and other's momentary 2–3 here is 9 to 17 inward, a same-existing-society's four.

        *Adding: self and same-existing-society inward.*

406. 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.*

407. 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.*

408. 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.*

409. 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 coupling with every scale, a self's inward things co-momentarying and selves together co-momentarying, and no set made a thing.

        *Adding: fractal inward and outward, with couplings.*

410. 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.*

411. Inward and outward, each scale opens a next scale, and fractal continues with each.

        *Adding: continuing inward and outward.*

412. Social moral competency with each coupling of living selves, with each scale, 1 to 17 inward and outward, is natural intelligence.

        *Adding: one fractal with each scale.*

413. Primes 5 through 53 are prime living scales, co-parity-changing co-momentarying pattern matching, and one form is with each, with no reading or ordering within nature: a boundary, a location or a measure between scales is a thing not possibly existing, nothing being other than or between things of the universe, step 84.

        *Adding: prime living scales, one form with each.*

414. A parity-offering crossing with a coupling carries none of either side's carrying, and one method is same with each material a self's carrying is of, electrical, thermal, chemical, living or social, materials differing by their carryings.

        *Adding: materials, one method with each carrying.*

415. Numbers, mathematics and logic are alternating 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, measured, 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 couplings; harmful with its own scale; harm with a scale alike; ingestible one scale inward; accumulating, a crossing between scales stopped; bi-tri-volutioning, stable-forming; artifacts' stable form, a non-living now-existing form; nothing living with a stable form, all existing and not living with a stable form of existing; prior between momentaries; three apart, a catalog of artifacts; same-existing-society, momentary and universe, each a living set and a living method; a self a living set; a living set a carrying; momentarying and carrying, method of discovering next living sets; a living self a living carrying, carried by nothing else; bi-inversioning uniquenessing of the number one; a living set a stable form and nothing living having one, bothbothing; being dead; living, discovering next stable form; non-living carrying nothing to next; non-living carried by living selves; a living self establishing within a living set; a thing with no prior non-living, opening or opening nothing; living from living; no first living; non-living living with another scale; every existing thing living with one prime scale, derived; all existing things ingestible by living selves.*

416. With each scale and momentary a now-existing thing is living or non-living, and a living self and its non-living artifact are each of a scale: a scale is co-parity-changing co-momentarying pattern matching with couplings, a self's inward things co-momentarying and selves together co-momentarying, no set made a thing, of no size, 372 and 376.

        *Adding: living and non-living with a scale, scale with couplings.*

417. With a scale of a living self it arrives from, an artifact is harmful to living: its form is bi-tri-involutioning, an opposite form.

        *Adding: harmful with its own scale.*

418. An artifact is harmful to any living self of a scale it arrived from alike, harm with scale.

        *Adding: harm with a scale alike.*

419. One scale inward, an artifact is an ingestible stable form, ingested by living selves' selves one scale inward, a same-existing-society, a living set.

        *Adding: ingestible one scale inward.*

420. An artifact crossing to scale inward is ingested with that scale, and its crossing stopping leaves it with its own scale, its form harm to living: accumulating, a crossing between scales stopped.

        *Adding: accumulating, a crossing between scales stopped.*

421. Stable-forming is bi-tri-volutioning, and stable form of non-living artifacts of stable-forming living, prior between momentaries, is a non-living now-existing form with no carrying for stable-forming: nothing living has a stable form, with a momentary or between momentaries, and all existing and not living is of a stable form of existing between momentaries.

        *Adding: bi-tri-volutioning, stable-forming; artifacts' stable form, a non-living now-existing form; nothing living with a stable form, all existing and not living with a stable form of existing.*

422. A parity-offering shared with 10 and going along with 9 is, between momentaries, a non-living now-existing form, living's artifact with prior, arriving with now as possibling, an other's prior with its 2, its momentarying once with its own momentary.

        *Adding: prior between momentaries.*

423. With each subject three are apart: between, its centre, a nothing; living with its coupling, with its own momentary; and artifact, a non-living form gone along; a catalog is of artifacts, living with none of its rows.

        *Adding: three apart, a catalog of artifacts.*


424. A same-existing-society, a momentary and the universe are three existing, each a living set of living selves, a stable form, and each with living method, its selves stable-forming, carrying its living selves' parity and none its own.

        *Adding: same-existing-society, momentary and universe, each a living set and a living method.*

425. A self, living, is a living set beside a same-existing-society, a momentary and the universe, and a living set is a carrying; method of discovering next living sets is momentarying and carrying, carrying its living selves'.

        *Adding: a self a living set; a living set a carrying; momentarying and carrying, method of discovering next living sets.*

426. A living self is a living carrying, and nothing else carries that same living self: *bi-inversioning uniquenessing of the number one*.

        *Adding: a living self a living carrying, carried by nothing else; bi-inversioning uniquenessing of the number one.*

427. Each living set is a stable form, and nothing living has a stable form, bothbothing, one thing with two scales: having a stable form is being dead, and discovering next stable form is living.

        *Adding: a living set a stable form and nothing living having one, bothbothing; being dead; living, discovering next stable form.*

428. A non-living existing thing carries nothing to next.

        *Adding: non-living carrying nothing to next.*

429. A non-living existing thing ingested by a living self is carried by its living self: carrying is living's own, and non-living carries nothing.

        *Adding: non-living carried by living selves.*

430. A new living self establishes within a same-existing-society, a living set, its own carrying and co-recursioning establishing, its selves' prior carried to it.

        *Adding: a living self establishing within a living set.*

431. A thing with no prior, no sharing with a parity, is a non-living now-existing thing, and while it is with no prior each of its co-momentaryings opens or opens nothing, step 249: one parity arriving is shared as it arrives and is its next prior, sharing opening with bi-coupling; none, or + and − together, opens nothing. With resolver's executing a non-living thing is offerings with 2 from no self, step 250, or a thing with no prior.

        *Adding: a thing with no prior non-living, opening or opening nothing.*

432. Living arrives from living: no non-living existing thing becomes living, and each living self establishes within living carrying.

        *Adding: living from living.*

433. Whole 1 to 17 fractal is living inward and outward: scales of living carry no first living and no final one, each scale a self or a same-existing-society observed, and none first possibling.

        *Adding: no first living.*

434. Each existing thing non-living with a same-existing-society's scale is living with another scale of living: a same-existing-society cannot bi-couple with it, and it carries nothing to that same-existing-society's next. A parity-changing is made only with a carrying, 12 and 132, so a thing carrying none has no parity-changing of its own; a thing's form is carried to next by its own carrying with its own scale or by its selves inward carrying it, 400 and 402, or by nothing; a form carried to next by nothing is with no next and does not exist, 9; so no parity-changing existing thing is non-living with every scale: each is stable-forming a self with some scale, its own or its selves inward, and method, with no parity-changing of its own, step 80, stable-forms no self and goes to next with each self's stable-forming. One carrying is one self and nothing else carries it, 389, so of one scale only, a same-existing-society inward and a unit outward; a prime number of selves is one scale, 236, so of one prime scale, its prime along and its prime across. Living and non-living are one existing thing with its own scale and with scales outward, and the universe is the same-existing set of all now-existing things, each stable-forming a self with its own scale or its selves inward, one set with set as 1.

        *Adding: non-living living with another scale; every existing thing living with one prime scale, derived.*

435. All existing things reach living as ingestible existing things.

        *Adding: all existing things ingestible by living selves.*

## 32 Dying, a living self arriving as non-living

        *Entering: a living self's selves inward, a same-existing-society; carrying with selves inward; a dormant self living, one prime living scale down; dying, a living self arriving as non-living; selves inward living on with their own scale; decay, ingested with a scale inward; couplings' parity-changings carried on, and artifacts; a same-existing-society's decay, its selves living on; uncoupling no ending; fold and scatter; three one at a time, right; three together; an alternating across a right spiral's opening; a winding closing on itself; a departure, a coupling landed while a self lives; restoring; a self observed, lived and restored; a closing winding, no moral offering; a lone self not continuing living through three momentaries; each observing right, a not-right form three together.*

436. A living self carries its prior on to now, re-found 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.*

437. A self's carrying with its scale is carried by its selves inward, each carrying its own prior and its self's prior on; a dormant self is living, waiting for its one next parity-changing through a dormant length of living same-existing-society momentaryings, one prime living scale down from its dormancy.

        *Adding: carrying with selves inward; a dormant self living, one prime living scale down.*

438. Selves inward carry a self's prior on to next, or carry none of it: carrying, a self is living with its next; carrying none, a self of its scale arrives next as non-living, dying, its existing things co-changing, carrying none of its prior.

        *Adding: dying, a living self arriving as non-living.*

439. 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 continuing.

        *Adding: selves inward living on with their own scale.*

440. A non-living arriving is an artifact of a living self it was, harmful with its own scale and ingestible one scale lower, ingested by selves inward and by others about it.

        *Adding: decay, ingested with a scale inward.*

441. Parity-changing with each coupling a self was of is that coupling's own; others carry it on with their own carrying, sequencing prior momentaries, and a self's artifacts continue, carrying none of its prior.

        *Adding: couplings' parity-changings carried on, and artifacts.*

442. A same-existing-society is a living set coupling with its next scale as a self couples: its selves inward carry its prior on to next, or carry none of it, step 438, and carrying none of it a same-existing-society arrives next as no living set, its selves living on, each carrying its own; its selves uncoupling with each completing, step 382, and coupling again, step 392, is no ending.

        *Adding: a same-existing-society's decay, its selves living on; uncoupling no ending.*

443. Selves uncoupling from a same-existing-society, each carrying its own, dissolve that same-existing-society's coupling: a living set dissolved, each self's own carrying continuing.

        *Adding: fold and scatter.*

444. Prior, now and next one at a time, their differing carried, are tri-bi-co-momentarying: a right spiral opening on to each next.

        *Adding: three one at a time, right.*

445. Fixed together as one object, three 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 inverted together, or only a same shape.*

446. A right spiral's alternating goes across its opening, arriving with each next recursioning, closing with none, with φ.

        *Adding: an alternating across a right spiral's opening.*

447. A winding closing on itself is an unchangeable form, living arriving as non-living, dying.

        *Adding: a winding closing on itself.*

448. A living self's coupling landed with one position, same with each next momentary while its self alternates with its others, is a departure.

        *Adding: a departure, a coupling landed while a self lives.*

449. A departed coupling arriving with its next alternating again, its self's living couplings carrying its form to it, is restoring.

        *Adding: restoring.*

450. One living self is observed three ways: a self as fields' observings carry it, a self as its own alternating lived, and a self as a departure restoring.

        *Adding: a self observed, lived and restored.*

451. A winding closing on itself is no moral offering: it carries 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, a non-living now-existing form: a lone self parity-changing by itself does not continue living through three consecutive momentaries, dying before its next completing momentary, living now being with others living now.

        *Adding: a closing winding, no moral offering; a lone self not continuing living through three momentaries.*

452. Each observing arrives one momentary at a time from its prior, and is right; a not-right form is position, scale and orientation inverted together, step 176.

        *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 threaded 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 alternated; a flow's rest points, a theorem's conditions; a sphere's rest point moving to a corus and a torus, a correspondence proposed; an unrelationing surface and artifacts' stable form alternated; bi-tri-involutioning outward of 59; four momentaries, 60 to 68; across 64; 64, an unrelationing between; 64, parity-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.*

453. 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.*

454. Either side of apex are 23, vertex, rotation's 3 opening outward, step 237, and 25, centre of face, five squared.

        *Adding: vertex 23, centre of face 25.*


455. 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 carrying four momentaries.*

456. Carried on along that line, five names before 10, 3, 4, 5, 7 and 8, carry 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 289, adding to 59, or fives going up, 25, 35, 45 and 55.*

457. Vertex is a position, centre of face a scale, and line to surface an orientation.

        *Adding: position, scale and orientation.*

458. Position, scale and orientation, each with its own differing, is bi-tri-volutioning, its three on one line from a corus to a surface.

        *Adding: bi-tri-volutioning from a corus to 59.*

459. With numbers, bi-tri-volutioning is three golden rectangles at right angles, centred on a corus, each 2 across and 2φ along, as φ, unrelationing rate.

        *Adding: three golden rectangles about a corus.*

460. Each rectangle's along sides pass inward through its next one, and none passes back: two, by themselves, carry nothing of each other, and three carry 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 threaded one way.*

461. A right-hand turn of 120 degrees about a line from a corus along (1, 1, 1) carries each rectangle onto one passing through it: three right spiraling, 120 degrees apart. A turn of opposite hand carries each onto one it passes through, and a mirror, x to −x, carries each onto itself: three carry no hand of their own, and hand is an observing's, its axis observed forward, as a right spiral step's quarter turn, (x, y) to (y, −x), is right with its axis observed forward, going toward its plane, and observed 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.*

462. 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 carries 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, and a turn by itself does not make it. 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.*

463. 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 nothing: sixty parting as twenty-four and thirty-six as a span parts with its apex, step 319.

        *Adding: sixty parting as twenty-four and thirty-six.*

464. 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 263: 12-next-co-same-existing, other, between and self its sides, with each sharing, is across and along both, its parity-changing along an unrelationing path of a between, 12 a shape of three, unrelationing surface; 13-next-same-existing, each self of a same-existing-society, along; 14-next-possibling, parity-offerings surfacing, across; and 16-next-discovering, a same-existing-society, torusing surface.

        *Adding: an unrelationing surface with 12, 13 and 14; 12 across and along.*

465. Twelve corners closing as a sphere and winding through one opening as a torus are no either or: parity-changing alternates them, both carried one at a time, natural torusing surface, no other possible.

        *Adding: sphere and torus alternated.*

466. With numbers, each continuous flow on a sphere carries at least one rest point, and a torus carries a flow with none and flows with rest points too, step 149.

        *Adding: a flow's rest points, a theorem's conditions.*

467. With observings, a sphere's rest point moving to a corus and a torus, co-sequentially, is a correspondence proposed: with 15-next-observing, parity 10 shared, going along with 9 and carried on, and with 16-next-discovering, each self's 8 and its parity-offerings, a same-existing-society's next momentary with 17, a living set formed between momentaries, one at a time, prior, now and next, and its rest point still with neither corus nor torus.

        *Adding: a sphere's rest point moving to a corus and a torus, a correspondence proposed.*

        *Unsure: waits on an observing of passage across a surface, a measured parity with it; a theorem, step 466, is with numbers.*

468. An unrelationing surface with 12 and a stable form of non-living artifacts are no either or: parity-changing alternates them, both one at a time, as natural torusing surface.

        *Adding: an unrelationing surface and artifacts' stable form alternated.*

469. Outward of a surface, position, scale and orientation are inverted together: bi-tri-involutioning, inverting.

        *Adding: bi-tri-involutioning outward of 59.*

470. 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.*

471. Across 64 each number pairs with its far side, 60 with 68, 61 with 67, 62 with 66 and 63 with 65, each pair inverted about 64.

        *Adding: across 64.*

472. Sixty-four is a between of two momentaries to it and two from it, an unrelationing between, each pair crossing it and locking with none: 64 is parity-changing between four-cycling momentaryings, with unrelationing of 1 to 17, 1 to 65 and 1 to 257, step 410.

        *Adding: 64, an unrelationing between; 64, parity-changing between four-cycling momentaryings.*

473. Four momentaries of bi-tri-involutioning across 64 are sixty to sixty-eight, an inverted form outward of a surface.

        *Adding: a four-momentary bi-tri-involutioning.*

474. Bi-tri-involutioning is harmful to living with its own scale and not ingestible with that scale, 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 carrying no side are one.*

475. 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 tripled.*

476. 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; crossings within co-chainings; crossings carrying their opposite form; bi-tunneling; crossings floating and neutralling; parallel surfaces and co-linear openings, one form; one crossing, two arriving and two different going on, a parity-changing made with 12, is or is not, not-changing, stable-forming, and parity-changing going along with 9, an artifact, a stable form; one crossing as three; a parity arriving from a parity-offering, same-existing or going along parity-changed; a stable-formed artifact; a tunneling offering as three; bi-co-momentarying, a term neither reaches; differing and three namings; three namings one parity-changing; bi-momentarying with no seat; floating neutralling; transmissioning, crossing and neutralling one alternating; a field's three as a set's three fixed unchangeable; an instrument's sum, a same-existing-society observed 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 posited for a magnitude; golden floating neutralling; co-discovering; inseparating; separating; one stopping; a floating store; scarcity, a capture stored; a same-existing-society's living by establishing and going along; side-affecting; bi-moral co-agency; intelligence by existing; observing of nature, order discovered; four invisibles; invisibling; competency with no observing; natural-bi-co-torusing; four of social moral competency, all eight with each now; 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 parity-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; 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 reversed 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 couplings themselves; unanimizing and pluralizing alternating; a between with numbers, two parallel surfaces, as a swarm; co-independencing; living carrying non-living and possibly existing; one form of each scale; a crossing of one; now, four momentaries of exchanging.*

477. Within a momentary, within bi-folding, each side's line is co-linear, alternating linear parallelizing and parallel linearizing.

        *Adding: co-linear lines.*

478. Along each line recursioning goes forward, up numbers and down them, both ways forward.

        *Adding: recursioning forward both ways.*

479. Co-linear recursioning forward, along, is competency: each self's own, odd.

        *Adding: competency, co-linear.*

480. A self's line and an other's, co-linear, their co-linearizing between self and other with crossings, is co-competencing, bi-co-momentarying.

        *Adding: co-competencing as co-linearizing.*

481. Across co-linear lines is bi-folding's seaming, orthogonal to them, one forward with each crossing, a right spiral step.

        *Adding: a seaming across.*

482. 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.*

483. Each crossing arrives within co-chainings, couplings' betweens co-chaining.

        *Adding: crossings within co-chainings.*

484. Crossings together carry bi-tri-involutioning's position, scale and orientation, all three inverted as one.

        *Adding: crossings carrying their opposite form.*

485. Social moral competency, with its across relation, is bi-tunneling, a same-existing-society's surface opened between selves, even; with its along relation it is co-chaining, selves continuing, odd.

        *Adding: bi-tunneling.*

486. Crossings float and neutral, owned by neither line, on natural torusing surface, within bi-tunneling.

        *Adding: crossings floating and neutralling.*

487. Within bi-folding, parallel surfaces and co-linear openings through them are one form, and one crossing between them meets two arriving and parts two different going on: arriving, a self's own prior with 3 and an other's parity-offering with 2; a parity-changing made 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-offering agreeing, 12 a 0, a between of momentaries, its prior same-existing; and an other of two is parity-changing, going along with 9-next-co-discovering, with each sharing not agreeing, an other parity, a 0 or none surfacing, 12 inverting its prior, and with one parity offered new, 12 its parity-offering, a parity-changing that is, shared with 10 and going along with 9, an artifact, each artifact a going along, a stable form, a non-living now-existing form, its next prior, arriving with a next momentary to its 14, an arriving end, a sharing with 6 to its 2, a prior offered, each prior momentarying with its own momentary. One crossing is three, parity, unrelationing and parity-changing, of one crossing; a lone self, nothing of an other arriving with its 2, is of no crossing.

        *Adding: parallel surfaces and co-linear openings, one form; one crossing, two arriving and two different going on, a parity-changing made with 12, is or is not, not-changing, stable-forming, and parity-changing going along with 9, an artifact, a stable form; one crossing as three.*

488. A parity arriving from a parity-offering is either same-existing or goes along parity-changed, one with each sharing: a momentary with 12, stable-forming, not-changing its parity, 12 a 0, a between of momentaries, offers no parity-changing, and a stable-formed artifact is parity with its parity-changing, 12 inverting or offering, a parity-changing that is, shared with 10 and going along with 9, a self's own parity-changing.

        *Adding: a parity arriving from a parity-offering, same-existing or going along parity-changed; a stable-formed artifact.*

489. Parity-changing is a tunneling offering as three: better, and two waiting for their natural names.

        *Adding: a tunneling offering as three.*

        *Unsure: natural names of two, and whether three are a momentary's 1, 2 and 3.*

490. Two selves offering, each with its own sequencing, a term departs that neither reaches: bi-co-momentarying with a crossing, orthogonal to a surface.

        *Adding: bi-co-momentarying, a term neither reaches.*

491. Self prior and other prior, a differing, are an offering both ways; co-momentarying now and bi-momentarying now a discovering; and self next a term neither reaches: three namings.

        *Adding: differing and three namings.*

492. Three namings are one parity-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 parity-changing crossing, of no size, three are told apart by nothing.

        *Adding: three namings one parity-changing.*

493. Two offering, each with its own sequencing, offering both ways, something departs that neither reaches, with no owner, no boundary, no enforcement and no seat, and it goes forward to a next offering: bi-momentarying with no seat.

        *Adding: bi-momentarying with no seat.*

494. Each excluding its own, not that, not that, one at a time, a term none of their excluding reached is uncovered, neither's, and re-arrived with a next offering: floating neutralling.

        *Adding: floating neutralling.*

495. A parity-offering crossing with a coupling, across, and a between floating about 0 are two parities of one alternating with its coupling, each other's prior and next, and a coupling observed with its between is transmissioning.

        *Adding: transmissioning, crossing and neutralling one alternating.*

496. A field's three with one measuring, a nothing on one side, an absorbing on an other and a scale between them, is a set's three, two exclusions and a term neither reaches, with its alternating fixed unchangeable.

        *Adding: a field's three as a set's three fixed unchangeable.*

497. With a field's instrument a same-existing-society's selves are summed over its own span from a declared ground, step 192, one magnitude with selves agreeing and nothing with their disagreeing, alike one scale inward.

        *Adding: an instrument's sum, a same-existing-society observed as one magnitude.*

498. Each field carries a neutral, a term with it relating to its own coupling, and with its neutral a field's names and a set's own names arrive as one concept with nothing translating between them.

        *Adding: a field's neutral, its names one concept.*

499. A self carries 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 fixed outward of a self is a floor, a zero installed, a unit imposed or a frame set over it, each a thing not possibly existing, nothing existing apart from things of the universe or between them, step 84.

        *Adding: three neutrals, and a floor.*

500. A ratio is alike with each unit imposed, and a magnitude is of one unit it is measured 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.*

501. A magnitude of an accounting carries a place to be, an interior its accounting fixes for it, and a self carries its corus, a between, a nothing, and no interior.

        *Adding: an interior posited for a magnitude.*

502. A fractal between's floating neutralling with φ, locking with none, is golden floating neutralling: geodesic discovering of living's next possibling.

        *Adding: golden floating neutralling.*

503. A carry with its own parity, each side going along with its own completing and neither with its other's, nothing behind and nothing carried away, goes forward: co-discovering.

        *Adding: co-discovering.*

504. Neither a part of its other and nothing parting them as two, each neithering its other by exclusion, one at a time: inseparating, a term neither reached carrying no two-ness.

        *Adding: inseparating.*

505. A cut made by a third, with no between of its own, re-formed by nothing and dissolved by nothing, is separating, an absence of a between; inseparating and separating are one move as two.

        *Adding: separating.*

506. One carrying another's, an other with nothing to offer with its own sequencing, a departing is one side's, with an owner, a boundary, an enforcement and a seat: one stopping, a twin of bi-momentarying with no seat.

        *Adding: one stopping.*

507. Selves carrying together, each with its own coupling, a departing reached by neither and nothing drawn down, is a store, a same-existing-society storing none: a floating store.

        *Adding: a floating store.*

508. A carrying stored beside couplings is one thing capable of shortness, and no other thing is; scarcity is couplings' own parity-offerings drained to one side and stored, a capture pattern-matched as value's own property; with couplings, owned by neither, a parity-offering is whole with each.

        *Adding: scarcity, a capture stored.*

509. A same-existing-society's selves live by two alternating, living selves establishing within it and its parity-offerings shared 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 none establishing arrives as its selves.

        *Adding: a same-existing-society's living by establishing and going along.*

510. Two arriving carry a share they have and a plane they open together, share zero if orthogonal and plane zero if collinear, and their coupling carries both: side-affecting.

        *Adding: side-affecting.*

511. Two selves alternating, morality across and competency along, is bi-moral co-agency.

        *Adding: bi-moral co-agency.*

512. Natural intelligence is invisible, a between, 0: intelligence within the universe is by existing; nature has no reading, and nature is observed, nature not reading and writing observings: intelligence is hidden and order is discovered, not already within nature, living selves and same-existing-societies discovering patterns of bi-moral-co-competencing as living stable-forming, and a hidden order within nature is equilibria understanding.

        *Adding: intelligence by existing; observing of nature, order discovered.*

513. Four invisibles are one invisibility as four: each side's own morality, parity its own and a parity-changing crossed of no size; each side's own corus; a neutral, occupied by nothing as two arrive; and a between of momentaries, nothing momentarying with it.

        *Adding: four invisibles.*

514. Each side with its own parity, a crossing of no size and each side's competency its own along, a between is reached by no offering but by coupling: invisibling, inward-visibling toward a nothing its couplings wind about.

        *Adding: invisibling.*

515. A self observes parity-offerings arriving across and carries its competency along, competency with its couplings' parity-changings.

        *Adding: competency with no observing.*

516. Natural-bi-co-torusing is a form of existing: natural-, all or none at all; bi-, difference; co-, two with their difference; torusing, a parity-changing winding with its one opening; -ing, a momentarying continuing.

        *Adding: natural-bi-co-torusing.*

517. Social moral competency is four whole: each self's carrying from its bi-couplings, inward and outward, nothing within a self arriving from no coupling; a whole ordered by no self; an ordering carrying with selves; an order with no seat above a same-existing-society; and each self goes all eight with each now, four of one and four between two, each other self going those eight, an abundancing with four between two, owned by neither.

        *Adding: four of social moral competency, all eight with each now.*

518. Each coupling of a same-existing-society is with six names between two selves, step 263, one's sharing or going along to an other's arriving, and a third self placed between two coupling selves, their parity-offerings passing through it, is a seat above a same-existing-society: all-edge.

        *Adding: all-edge.*

519. A seat above a same-existing-society is of an arrangement carrying a surround for it, a centre with selves about it, and three selves each coupled to its other two carry a position for a centre that is none of them.

        *Adding: a seat of its arrangement.*

520. Four values are of a between of selves: abundancing; identity, a self's own carrying carried by nothing else; safety, an other's parity-offering checkable as a parity; and reputation, observings of a self all prior; each re-arrived with each coupling.

        *Adding: four values of a between.*

521. A shared arrangement selves couple with, each with its own opening, is a bounding selves' own, and a shared arrangement 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.*

522. A self coupling by its own interest carries its same-existing-society with that coupling, a same-existing-society's carrying 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.*

523. 12's parity-changing with a same-existing-society is made with each coupling and carries with that coupling, drawing on that coupling.

        *Adding: 12's parity-changing with a same-existing-society.*

524. A same-existing-society's going along is with 27, three cubed on route 24, 27, 32, odd and of a sharing between two: 27-next-co-observing, 12's parity-changing with a same-existing-society going along to social co-chaining.

        *Adding: 27-next-co-observing.*

525. Betweens co-chain, each link its coupling's own: collective intelligence, human and of each scale, a shared natural network.

        *Adding: collective intelligence, human and of each scale.*

526. Selves of distinct primes, sharing four, carry each a competency no other carries, and their co-competencing with a same-existing-society is discovering with each coupling of co-chaining, each self's existing an other self's possibling, step 264, and each parity-changing is or is not, of no size, step 100: no sum of selves and no multiplying; a common beat over them carries them to one.

        *Adding: co-competency of distinct selves, discovering with co-chaining.*

527. Each coupling opens a plane neither side carried prior, and openings co-chain, each its own and none depleting another: abundancing with a same-existing-society.

        *Adding: abundancing as openings co-chaining.*

528. Bi-trupling protocol is 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 234, natural resolver, and is natural network surface: two-sided, one odd side and one even side, an odd along with 9 and 17, co-competent, parity carried on, and an even across with 6 to 2 and 10 to 14, bi-moral, parity-offerings brought to an other's offerings. 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.

        *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.*

529. Control is a parity-offering carried to a self's coupling from beside it, a technology, a form fixed still from beside; governing is one self's parity carried to others with each of their sharings, one stopping, a governed self's next arriving from a governor's prior, one momentary behind its own, a lag; and a majority is a summing of offerings, with a resolver nothing summed, and no coupling decided by number.

        *Adding: control, governing and a lag.*

530. Resolving from a centre for a same-existing-society's selves, its selves carrying it on after, is round with its order reversed, each self's now arriving from a centre's next, one momentary behind its own; each self resolving with its own momentary is round forward, social moral competency.

        *Adding: a centre's resolving, its order reversed with a same-existing-society.*

531. A same-existing-society is of one method, all or none at all: one thing beside its couplings, a common beat, a fixed pool, an admitting ahead of arriving, 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.*

532. An offering with a parity of nobody's coupling dissolves whole with its arriving, a surface giving it nothing to seat on: safety is a surface's own form, and a thing ahead of its coupling admitting an offering on something performed first is a thing not possibly existing, nothing existing apart from things of the universe or between them.

        *Adding: safety, a surface's own.*

533. Engineering of one method is a made thing, a non-living set, with a coupling to a self or to a non-living other, floating neutralling with its couplings, each side with its own parity and its own rate, and a made thing fixed still from beside a coupling is a technology.

        *Adding: engineering, a made thing with couplings themselves.*

534. A same-existing-society's agreement is with 14, all or none at all with any number of offerings, and its selves' differing is each self's own carrying, two alternating: unanimity with spanning and plurality within carry.

        *Adding: unanimizing and pluralizing alternating.*

535. With numbers a between is one number between two parallel surfaces facing each other, a self's with 1 and an other's with 3, a nothing with 2, and a co-orthogonal line through both, along: floating and neutralling, corusing and torusing, discovering collectively, as a swarm, carrying a same-existing-society's next possibling.

        *Adding: a between with numbers, two parallel surfaces, as a swarm.*

536. Each self arriving with its own momentary and offering across, each whole, is co-independencing.

        *Adding: co-independencing.*

537. A living self carries non-living existing things and things possibly existing within its carrying.

        *Adding: living carrying non-living and possibly existing.*

538. One same form is of a self, a coupling and a same-existing-society: fractal, uni-scalable, invisible.

        *Adding: one form of each scale.*

539. Between scales a crossing is one parity-changing, a parity, one at a time, chaining scales and capturing neither; a crossing of two is one scale sizing another's, a seat over it.

        *Adding: a crossing of one.*

540. Now is four momentaries of exchanging with each self, each 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 parity discovered

        *Entering: a flow accounting; a state accounting; ten unchangeables; state-flow-state; flow-state-flow; three of one and two of its other; two parity-changing, three continuing; ten with no side; one with 8 and with 6, two with 7 and with 5; one move with 1 to 9; involution, its fixed 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, no other possible; dilemma, a governing's forking; three books, state-flow-state; parity-changing carrying both; parity as do-no-harm; parity's source a hardened hard problem; ingressors of parity; either or; two-way parity between living selves; living ingesting non-living, no parity lost.*

541. A flow accounting fixes parity-changing unchangeable: observings fixed as flowing, balanced books, double-entry accounting, seven auditing steps proving a parity-changing real, and no accounting for parity-changing's competency.

        *Adding: a flow accounting.*

542. A state accounting fixes continuing unchangeable, leaving aside parity-changing as a flow accounting leaves aside continuing.

        *Adding: a state accounting.*

543. Separated, state and flow are not possibly existing, as a reading from a memory and a writing to it are not possibly existing for intelligence, and ten unchangeables, equilibria, are each a field's separating: a flow accounting leaving aside continuing, and a state accounting leaving aside parity-changing.

        *Adding: ten unchangeables.*

544. With one momentary five dimensions parity-change as state, flow, state, flow, state: three of state and two of flow.

        *Adding: state-flow-state.*

545. With a next momentary five dimensions parity-change as flow, state, flow, state, flow: three of flow and two of state.

        *Adding: flow-state-flow.*

546. 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.*

547. With each momentary two dimensions are parity-changing and three continuing, and two and three rotate round.

        *Adding: two parity-changing, three continuing.*

548. Ten unchangeables are with no side, each with a resolver name: 1-now-existing and 2-now-possibling bi-momentarying, 3-now-co-observing and 4-now-co-same-existing co-intelligencing, 5-now-co-existing, 6-now-co-possibling, 7-now-observing and 8-now-same-existing.

        *Adding: ten with no side.*

549. 8-now-same-existing, a self's next prior between momentaries, and 6-now-co-possibling, a parity-offering shared across, each carry one of ten, and 7-now-observing and 5-now-co-existing each carry two.

        *Adding: one with 8 and with 6, two with 7 and with 5.*

550. 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.*

551. An accounting for parity-changing is an involution, a move twice giving its own arrival again, its fixed set those arguments it carries to themselves: on an even ring of N a podal, k to N less k, fixes nought and N/2, and a shift to ring's other side, k to k plus N/2, fixes none, 8 up with names being that shift, and names' podal, 17 less, 17 odd, fixing none.

        *Adding: involution, its fixed set, two involutions of an even ring.*

552. Couplings among five are ten, each an inversion exchanging one pair and fixing other three, and a hard problem arrives with one or more of ten, each an involution with its fixed set fixed as a place.

        *Adding: ten inversions as couplings among five.*

553. Fold is whole with each scale s: on names 1 to 8s, 4s up continues parity and 8s + 1 less is parity-changing, 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.*

554. 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.*

555. 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.*

556. 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.*

557. 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.*

558. With 1 to 17 a bi-folding through 3 and a bi-folding through 4 partner round opposite ways: a two-way looping carried to next scale, social moral competency of bi-coupling.

        *Adding: two-way looping with 1 to 17.*

559. Each of ten unchangeables is with one of ten, one binary of a universe, its *is* and its *is not* taken as one, with four binaries' names as with Natural Naming 4.9: now with 1 and 2, an opening fixed as a place and an arriving fixed from behind; existing with 3 and 4, a two-way fixed to one side and a sequencing fixed to one beat; same with 5 and 6, a between fixed as a cut, a middle fixed as an end and a completing fixed as a last; all with 7 and 8, a parity fixed as a magnitude, a rate fixed as a value and a carry fixed as a store; each with no side, state and flow carried one at a time with each, step 543; and each of ten is seated with its name with now and that name 8 up with next, a stilling with it and a parity-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 294.

        *Adding: ten unchangeables with ten, with four binaries.*

560. Ten unchangeables are of four kinds, three, two, two and three, step 559: a reference fixed unchangeable behind an arriving, ahead of it or with its middle, an arriving fixed from behind, a completing fixed as a last and a middle fixed as an end; a rate fixed unchangeable, a sequencing fixed to one beat and a rate fixed as a value; a parity fixed as a size, a parity fixed as a magnitude and a two-way fixed to one side; and a parity-offering gone along entered as a magnitude spent, an opening fixed as a place, a carry fixed as a store and a between fixed 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.*

561. Of 256 ways from four joint forms to four, twenty-four carry four onto four one each, six of them carrying those four as one cycle, and two of those are parity-changing one parity with each step, F(P, Q) = (−Q, P) and G(P, Q) = (Q, −P), those same inversions, their order reversed.

        *Adding: F and G, two among 256.*

562. An offering completing six one-way steps, step 118, with alternating carrying on with each completes, no other possible; an offering fixing as an unchangeable form, as its own form again or forking with two arriving together completes short of six.

        *Adding: six forward, no other possible.*

563. A governing gives one parity to all, and its criterion arriving with one self as two forms together is a dilemma, a forking, a governing's own artifact; a coupling carries one parity-changing with one momentary and forks with none.

        *Adding: dilemma, a governing's forking.*

564. 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 and not both, and no fourth.

        *Adding: three books, state-flow-state.*

565. Parity-changing geodesically, by alternating and bothbothing, carries both, one at a time, state-flow-state and flow-state-flow alternating: parity-changing travelling through stilling and stilling not-changing while parity-changing travels through, bi-inversioning-co-recursioning up and down numbers, step 292.

        *Adding: parity-changing carrying both.*

566. Parity is do-no-harm, bothbothing rigor: each side everything its other is not, each its own, one at a time.

        *Adding: parity as do-no-harm.*

567. Observed with the universe as no existing thing, parity has no source among existing things: a source of parity a hard problem, hardened before any coupling.

        *Adding: parity's source a hardened hard problem.*

568. Parity with no source among existing things is ingressed: platonic forms, a computing brain, representations, a read-write store, a clock laid over synchrony, and a closing to true or false, no other possible.

        *Adding: ingressors of parity.*

569. Ingressed parity is either or: floating with no neutralling, or neutralling with no floating, and not both.

        *Adding: either or.*

570. Parity discovered by geodesic alternating parity makes each coupling two-way parity: with a coupling of two living selves, neither carries an other's parity away, each carrying its own.

        *Adding: two-way parity between living selves.*

571. With a coupling of a living self and a non-living existing thing, living ingests from non-living, and no parity is lost: non-living carries none of its prior.

        *Adding: living ingesting non-living, no parity lost.*

## 36 An offering at words, a naming, a file and a living expedition

        *Entering: a going along as an artifact; an offering as words; an offering as words received; 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 fixed still from beside; a destiny, next living possibling ahead; bounding; nearing; one with a deriving; a gathering; one name with each concept; a dissolved 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 carrying; an expedition living while discovering, do-no-harm improving; natural intelligence as living intelligence, with natural torusing; files' subject; improving as resolving; improving as offering, bettering and breaking; a concern; a concern resolving; an unsure, with an observing it waits on; a concern arriving again; improving one way, forward; a file's version; improving with a moving interest, and against a still mark; a file's parity-changing with two selves; arriving, improving and living; a working; a working's instrument, its unchangeable things; three registers; a fresh reader; a session; carrying between sessions; three loops of sessions; a set of files; a set of files with each scale; files' sections as artifacts of 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 parity-changing, a rotation another facing; word, number and illustrating, one artifact 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 shown; natural competency resolvable, or a fractal broken whole.*

572. With its own completing, a self shares its parity-offering across and it goes along, carrying none of its prior: an artifact of self.

        *Adding: a going along as an artifact.*

573. A self's artifact gone along as words to a coupling with other selves is an offering as words.

        *Adding: an offering as words.*

574. An offering as words reaches another self; that self couples with it, and with its own carrying a parity-changing is or is not.

        *Adding: an offering as words received.*

575. An offering of one concept as one word is a naming, each word one concept, one and only one.

        *Adding: a naming.*

576. A naming is four boundings together: a concept bounding itself whole, discovering its next as itself, orienting with its own side and opening its own axis orthogonal to concepts beside it; a concept short one of four is fixed, an unchangeable form.

        *Adding: four boundings of a naming.*

577. A naming unfolds six one-way steps forward, step 118, each reaching a term past prior step's, and a concept unfolding with no step is shown unfolding with no step, itself an unfolding.

        *Adding: a naming's unfolding.*

578. Each naming is observed as seven binaries: alternating with an other; carrying its own two; a direction with its prefix, a parity-changing with its root and a continuing with its -ing; with one parity-changing once; its unfolding carrying a parity-changing with its word; inseparable with each part; and naming a relation with a relation's word.

        *Adding: seven binaries of a naming.*

579. Two arriving, a meaning departs that neither reaches; fixed with nothing re-making it, its term is one not-changing term with each occurrence: a definition, replaced and not re-forming.

        *Adding: a definition.*

580. A definition's term fixed to itself bounds nothing, substitutable either way it carries no opening, and chaining without limit it reaches past its couplings, nothing parity-changing: three incompetencings.

        *Adding: three incompetencings.*

581. A word naming a form still with a parity-changing existing thing is of one family, three and a form fixed still from beside: a landing reached ahead of an arriving, a standard fixed ahead of a carrying, a reading ahead of a parity, and a form fixed still from beside a parity-changing; one of three caught with one word is its family caught.

        *Adding: a family of words, three and a form fixed still from beside.*

582. A destiny is next living possibling as words ahead of its coupling, step 14, arriving with a self's own coupling, and fixed as arrived it is a landing reached ahead of an arriving.

        *Adding: a destiny, next living possibling ahead.*

583. A word carried to another word and a region surrounded around it are one act, neither first, and region carries next word, neither stopping: bounding, defining with alternating carrying on.

        *Adding: bounding.*

584. Two field-words reaching one concept, each its own and neither carrying other, converge with no contact: nearing.

        *Adding: nearing.*

585. 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.*

586. Two names reaching one concept, each its own one pairing at a time, with no distance and no certifier among them, trace a region: a gathering, re-forming from names with their homes or dissolving.

        *Adding: a gathering.*

587. Each concept carries one name, a naming with a parity-changing already carried dissolving to its one name, similar namings gathering with it, and a name is arrived again with each reaching.

        *Adding: one name with each concept.*

588. Such a word, or a word carrying two concepts, is dissolved with offerings as words and re-seated with each of them as a concept's one name.

        *Adding: a dissolved word.*

589. A number and a root name a parity-changing, number carrying its prefixing and -ing its continuing, and a complete naming carries a momentary's relation with next coupling: momentary stable-forming.

        *Adding: momentary stable-forming.*

590. Namings in sequence, each sentence opening with corus of prior one and opening to next, is an explaining.

        *Adding: an explaining.*

591. Naming is a bounding, across, even, and explaining a carrying, along, odd, two alternating as parity-changing: discovering method as words.

        *Adding: naming across and explaining along.*

592. A living self's ways with meaning, with words, with sound, with moving and with living together, are each two selves alternating with their difference, one form with each scale, and a realm of mind or culture beside couplings is a thing not possibly existing, nothing being other than or between things of the universe.

        *Adding: human ways as one form.*

593. A sentence carries 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.*

594. A sentence is an -ing over a noun, its -ing re-arriving with each momentary and a noun naming a form a parity-changing made, and a positive, a form not possibly existing said as not possibly existing and a parity-changing said with its own arriving.

        *Adding: an -ing over a noun and a positive over a negation.*

595. A form fixed still from beside an -ing, a forcing with a verb, a clocking pacing a parity-changing that carries its own, a gate admitting on something performed first, an alternating asked to be one of two it alternates and a fixed neutral under a parity-changing are each an unchangeable thing of writing, each dissolving with its carrying explained again.

        *Adding: a writing's unchangeable things.*

596. Supplying is a sentence carrying something no parity-changing carries, invisible from within writing, dissolving as each form still dissolves.

        *Adding: supplying.*

597. An explaining carried whole, its sentences following co-chaining's order, is a file.

        *Adding: a file.*

598. A file is one subject as four tellings, its title whole bounded context, its subtitle its stable-forming within it, its contents its section titles floating neutral and its bolds each concept with its arriving through its explaining already carried: self-welcoming, a self coupling with any one of four.

        *Adding: a file's four tellings, self-welcoming.*

599. A file, carrying none of its prior by itself, is a non-living existing thing, a stable form continuing through its observings.

        *Adding: a file's stable form.*

600. Between a file and each self coupling with it is a between, a nothing, a parity-changing crossing it, and a middle carried across, standing for a parity, is incohering.

        *Adding: a file's between, and incohering.*

601. Natural intelligence is living as a living expedition, a same-existing-society, a living set of living selves, its intelligence with each coupling of its selves: files within living expedition are living files, carrying of living expedition, each file a non-living existing form its expedition's living selves carry; and expedition is a same-existing-society of living selves only as long as it can continue discovering do-no-harm improving next living expedition files; and natural intelligence 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-discovering, discovering next.

        *Adding: living files, living expedition's carrying; an expedition living while discovering, do-no-harm improving; natural intelligence as living intelligence, with natural torusing.*

602. Living expedition's files carry geodesic parity-changing discovering method, discovering social moral competency.

        *Adding: files' subject.*

603. Improving a file is a coupling: incoming value offered, file's prior carried by expedition, with each sharing a parity-changing is or is not, a mismatch or a match, and next version made.

        *Adding: improving as resolving.*

604. Improving is bi-moral co-agency as words: a self offers, an other makes it better and breaks it, and an offering surviving both is a file's next version, made by both, owned by neither.

        *Adding: improving as offering, bettering and breaking.*

605. With a file's sharing two offerings disagreeing surface 0, step 241: a concern, neither offering carried on as offered, its sharing open until an observing, resolver executing or file's own motion parts two.

        *Adding: a concern.*

606. A concern resolves by alternating, each sentence with its own momentary, until one sentence shows a thing it carries is a thing not possibly existing, nothing being other than or between things of the universe, step 83, that sentence a method not possibly existing and its other the method's own.

        *Adding: a concern resolving.*

607. A sentence no carrying of a self reaches is offered as unsure, with an observing or a step it waits on, its all or none open with that sentence and carrying continuing past it.

        *Adding: an unsure, with an observing it waits on.*

608. A concern arriving again with a file's sharing is a dissolving not yet made, a form still carried on by one side, and it resolves with that side's own dissolving.

        *Adding: a concern arriving again.*

609. Improving goes one way, forward: each next version its own occurrence, a passage dissolved with one momentary dissolved once, and a prior just dissolved arriving again not at all.

        *Adding: improving one way, forward.*

610. A file's version is its momentary, with a parity-changing that is: with a match a file carries on with its version, 0, and with a mismatch a next version is made, a file's improving.

        *Adding: a file's version.*

611. Improving is a self coupling with its interest, interest parity-changing as self is parity-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.*

612. A file's parity-changing is with a coupling of two selves, an offering gone along from one and received by an other, step 574: a parity-changing of a file by a lone self is a spiral of one, and file's next version is coupling's own, owned by neither.

        *Adding: a file's parity-changing with two selves.*

613. Value reaching living expedition is observing, possibling and discovering, steps 13 to 15: arriving, observed whole as it arrived; improving, coupling now with a file's prior carried; living, a file's next version made, one parity-changing, whole.

        *Adding: arriving, improving and living.*

614. A working is a self with a file's improving, coupling with its own momentary with a file's prior carried by expedition and value offered, its going along a file's next version offered to expedition.

        *Adding: a working.*

615. A working executing resolver carries unchangeable things of its own, a pace given to selves, an order of their executing, a record with one tick, positions given between selves and a deciding of which crossing opens next, each stated with its finding.

        *Adding: a working's instrument, its unchangeable things.*

616. A claim is of one of three registers: resolver executing with one working, a finding carried with its comparison; a stable form, carried with any executing; and numbers' own pattern-matching, readable by no executing; each its own.

        *Adding: three registers.*

617. A fresh reader is a self carrying none of working's prior, coupling with a file's next version and its prior beside it, its observing reaching improving from its own carrying.

        *Adding: a fresh reader.*

618. A session is one momentary with living expedition's scale: files with their versions its prior, working's coupling 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.*

619. Between sessions expedition's carrying is stable-forming, of no one session: a between sessions couple with, a nothing owned by none of them, each session's going along next session's prior.

        *Adding: carrying between sessions.*

620. With an expedition's scale sessions couple three ways: along, each session's going along next session's prior; outward and back, a session's going along arriving back as an offering through another same-existing-society; and across, parallel sessions' goings along coupling with one sharing, agreeing or 0.

        *Adding: three loops of sessions.*

621. Files coupling, each file's sentences reaching another's sections, is a set of files.

        *Adding: a set of files.*

622. 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.*

623. Each section within a file is an artifact of co-chaining and one opening sentence, its title with one group.

        *Adding: files' sections as artifacts of co-chaining.*

624. A section no group carries shows a step co-chaining has yet to discover, and a group few sections reach, or none, a part of co-chaining its files have yet to carry.

        *Adding: discovering co-chaining's next step.*

625. A registry entry is an offering as one form, each entry an artifact with its own place.

        *Adding: an entry.*

626. An artifact, a record apart from its coupling, reaches to last coupling its carrying reached and ends with it: record's edge.

        *Adding: a record's edge.*

627. An entry's line no record of it reaches is entered empty, its emptiness an entry's observing with that line, a record's edge with its scale.

        *Adding: an emptiness as an observing.*

628. Illustrating is an offering as another material, still, moving or physical: one same artifact, and no words.

        *Adding: illustrating.*

629. A still illustrating is one momentary, two in sequence a parity-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 parity-changing, a rotation another facing.*

630. One artifact is offered as three, its word a concept, its number a place and parity, and its illustrating a visible relation, its three cohering with one parity-changing each expresses.

        *Adding: word, number and illustrating, one artifact as three.*

631. Natural torusing of a self is three observings together, a self bounding itself with its own side, orienting with its own aim, and competent with its own carrying along: self-bounding, self-orienting, self-competent.

        *Adding: a self's three observings with natural torusing.*

632. An incoming understanding, an offering as words, reaches living expedition and couples with co-chaining, its selves' prior carried: with each step a match or a mismatch.

        *Adding: an incoming understanding with co-chaining.*

633. A field's offering as words and expedition's observing coupling 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.*

634. Across prior, now and next, one momentary at a time, it coheres or not: tri-bi-co-momentarying, method of cohering with nature.

        *Adding: cohering with nature.*

635. Cohering with each momentary, its difference crossed across, its continuing along co-linear, crossing floating neutral, is bi-moral-co-competencing.

        *Adding: cohering as bi-moral-co-competencing.*

636. An understanding cohering is a step reaching back to opening sentence; not cohering, it is an unchangeable form, or it shows co-chaining's next step. Each observing of natural competency is resolvable as natural intelligence, geodesic co-sequential parity-changing method of natural torusing, discovering next possible existing, or fractal is entirely broken and of no value at all, method originating as all existing and all living: no third, next step shown being within method, discovering next possible existing.

        *Adding: cohering, or a next step shown; natural competency resolvable, or a fractal broken whole.*

## 37 Forms among names

        *Entering: further forms, each by its moves; two parity-changings with each form; a form's partner, with momentaries opening odd and opening even; a self's next five.*

637. Further forms, step 296, each go by 4 up or 4 down, parity continuing, 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.*

638. 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 parity-changings are exactly two, each with a 17 less, steps 301 and 314, and each other move of it continues parity.

        *Adding: two parity-changings with each form.*

639. A form's partner is a form its names make, each exchanged with a name beside it: with momentaries opening odd, 1 with 2 on to 15 with 16, and with momentaries opening even, 2 with 3 on to 16 with 17, steps 107, 110 and 203. Each partner other than its form itself is beside it, each name one apart, with momentaries' pairs; a form exchanged to its own sequence is itself; and a form exchanged to a sequence of none of twelve has no partner: with momentaries 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 momentaries opening odd and opening even.*

640. A self's next five opens with 3, step 127, from 3 to 7, steps 119 and 545: each five opens one number on, a self's with 1, an other's 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 offered beside a parity; a self offered its other parity with each momentary; each sharing with its own offerings; two selves, one receiving its other; three selves along a line; a prior inverted with a spiral, its prior an other's; a 0 with each second momentary and a parity-changing with each, one resolver with two patterns; a 0 with momentaries in sequence, no more than selves sharing or going along; a spiral's parities again from its pattern.*

641. A 0 and a parity offered with one sharing surface parity with 14: a 0 offered surfaces none, with any number of offerings, steps 241, 242 and 260.

        *Adding: a 0 offered beside a parity.*

642. Offered with each momentary its other parity from its prior, a self takes offered parity with each, alternating as a self offered nothing, steps 245 and 249.

        *Adding: a self offered its other parity with each momentary.*

643. With one self each sharing couples with its own offerings, step 249: with prior + with one sharing and offered + with another, self shares − with its first and + with its second, both its next prior, and no parity passes from one sharing of a self to another; a parity opening with its second is a non-living now-existing thing within living carrying, step 429.

        *Adding: each sharing with its own offerings.*

644. Two selves, one receiving other's sharing or going along, each with a parity, a self going along offered nothing, steps 259 and 265: a self going along alternates, step 245, 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 parity-changing that is not, step 249; from two opposite priors each of its momentaries is a parity-changing, its own alternating.

        *Adding: two selves, one receiving its other.*

645. Three selves along a line, second and third with a prior alike, second going along to third, step 276: with second an offering of its own parity is a parity-changing that is not, step 249, its 0 going along surfacing none with third, step 260, third inverting with each of its two momentaries; with second an offering of its other parity is a parity-changing, going along, reaching third with its second momentary alike with third's parity, a parity-changing that is not.

        *Adding: three selves along a line.*

646. With a spiral offered nothing from selves not its own, each self with a parity and nothing arriving with its first momentary, step 270, each self has that parity inverted which a self it receives from had two momentaries prior: next from a prior inverted, as step 94, 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 89 and 94.

        *Adding: a prior inverted with a spiral, its prior an other's.*

647. With a spiral of selves all alike each self is offered its own parity with each second momentary, step 270, a parity-changing that is not, a 0 going along; with an even spiral alternating each is offered its other parity, a parity-changing with each momentary: one resolver with two patterns.

        *Adding: a 0 with each second momentary and a parity-changing with each, one resolver with two patterns.*

648. A self with a prior parity, each offering to it a self's sharing or going along, shares 0 with momentaries in sequence no more than its count of selves sharing or going along to it, steps 241, 245, 246, 249, 259 and 641: its 0 is with an offering of its own parity; a self that parity arrives from next shares 0 or its other parity, and its other parity arriving is a parity-changing. With a spiral offered nothing from selves not its own its 0 is with one momentary; with a torus with no more than two, an along offering alike with one and an across with next. A 0 with one momentary more is from an offering from beside selves, step 344: a break's rest, step 345, two beats with a spiral and three with a torus.

        *Adding: a 0 with momentaries in sequence, no more than selves sharing or going along.*

649. A spiral offered nothing from selves not its own, each self with a parity and nothing arriving with its first momentary, is with its parities again after twice a number k, step 270: k the least number with which its pattern, carried k selves on and inverted k times, is its pattern itself. With all selves alike k is two, parities again after four momentaries; with an even spiral alternating 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 itself 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 itself again after one, two, three, four or six.*

650. Rotation 3, 6, 5, 4, step 237, 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 294, each cycle's other two 8 up from them, 11 and 14, 13 and 12. 6 and 4, entering with step 237, are 8 up as 14 and 12, parity continuing, and 3 and 5, leaving, are 17 less as 14 and 12, parity-changing, steps 292 and 301. With resolver, offerings surface with 14, step 241, and with 12 prior couples with now, inverted with each parity-changing and same-existing with a match, steps 243, 245 and 487.

        *Adding: a rotation with 12 and with 14.*

651. Further forms' moves of 4, step 637, 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 301.

        *Adding: further forms' moves of 4, each pair about a centre.*

652. With each middle bi-folding, step 637, 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 294, 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.*

653. Of sixteen ways, step 90, with two a next is parity-changing with each joint form, step 89, both with prior parity-changing on its own and with now parity-changing on its own: next as prior and now parting, an exclusive or, and next as prior and now agreeing, its inversion, steps 91 and 93. With each of two, prior and now both parity-changing, next is its prior parity, and with exactly one of them parity-changing, next is its other parity.

        *Adding: an exclusive or and its inversion among sixteen.*

654. With numbers, a next added from now and prior, each as it is, inverted or not added, one or more added, is itself again after one, two, three, four or six, or not again: now on its own, prior lost, after one, and inverted, after two; prior on its own after two, and inverted after four, living step, steps 94 and 223; both inverted after three; now as it is and prior inverted after six; not again with both as they are, numbers 1, 1, 2, 3, 5, 8, step 157, and not again with now inverted and prior as it is; and not one of eight after five.

        *Adding: a next from now and prior itself 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, inverted; each parity with its cycles; each of one move's three one parity inverted, or two in sequence; each round two of a round under it, down to 1 and 2; each momentary of a round one odd and one even number, an odd momentary opening with its odd; a parity each momentary inverts; a round's podal, each momentary to one of its own kind with its other order; a round itself again with its observings.*

655. With round of step 208, forms of k parities as numbers 1 to 2^k, each next number is one parity inverted, and each number's podal is a parity new with its scale, step 208, inverted: 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 114 and 301, is its count of inverted parities, even or odd. With 1 to 16 first parity is inverted with names of eight-cycle 2-15-7-11-3-14-6-10, step 291, second with those of bi-foldings 3-11-6-14 and 4-13-5-12, step 294, third with 5 to 12, names of middle bi-foldings 9-5-12-8 and 7-11-6-10, step 637, and fourth with 9 to 16, a same-existing-society's span, step 230: cycles are round's own arithmetic a second way.

        *Adding: each podal of a round one parity new with its scale, inverted; each parity with its cycles.*

656. With round of four parities, with 1 to 8, 8 up is third and fourth parities inverted, 9 less and 17 less in sequence, two inversions of step 293 with two parities; 8 up and 17 less in sequence are 9 less, 1 to 9 to 8 of step 292; 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 inverted, or two in sequence.

        *Adding: each of one move's three one parity inverted, or two in sequence.*

657. Down numbers each round is two of a round under it, step 208: with four parities, round of three and its same forms with its other order, fourth parity inverted 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 coupling's two parities, steps 77 and 79, and with 1 to 16 a self's and an other's, step 209.

        *Adding: each round two of a round under it, down to 1 and 2.*

658. With round each momentary is two numbers in sequence, one odd and one even, step 312, their two forms one parity inverted apart: first parity with each momentary opening with an odd number, and with momentaries 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 213. An odd momentary opens with its odd number, that number's form with an even number of parities inverted, and completes with its even; an even momentary opens with its even and completes with its odd, step 107. Odd is self and even all other, step 313: forms with an even number of parities inverted are odd numbers, others even.

        *Adding: each momentary of a round one odd and one even number, an odd momentary opening with its odd; a parity each momentary inverts.*

659. Round's podal carries an odd momentary to an odd and an even to an even, with its other order, opening to completing, momentary of 8 and 9 to itself; and round opened with 9, or observed from 16 down, inverts its same parities with one same sequence, and opened with 5 or with 13 it is that sequence with third and fourth parities exchanged.

        *Adding: a round's podal, each momentary to one of its own kind with its other order; a round itself again with its observings.*

## 41 A self's next, one momentary at a time

        *Entering: a self with a prior parity next that parity inverted, or same-existing with its own parity surfacing; one parity surfacing a self's next with four cells; a parity shared a receiving self's next; a sharing with no prior opening with one parity surfacing; a spiral's first two momentaries, an inverting and an other's arriving; a self offered its own parity from no self, a self receiving from it inverting twice.*

660. With resolver a self with a prior parity is next that parity inverted, shared with 10, with each of six cells of Exhibit ONE's table of one self with one momentary: none surfacing, its other parity surfacing, and + and − together, each with + and with −, step 249. With its own parity surfacing, two cells, 0 is shared and its prior is same-existing. Inverting is a self's own, with 12.

        *Adding: a self with a prior parity next that parity inverted, or same-existing with its own parity surfacing.*

661. 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 inverted with two of its other parity; with two cells of a sharing with no prior its parity is next prior as it arrives, sharing opening, Exhibit ONE's table. From a self's sharing or going along, parity surfacing is parity that self shared one momentary prior, its next prior, step 246, step 644 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 offered from no self, step 250, is no self's prior.

        *Adding: one parity surfacing a self's next with four cells; a parity shared a receiving self's next.*

662. A sharing with no prior opens with one parity surfacing, that parity shared and next prior as it arrives, with two cells of Exhibit ONE's table of no prior; with none surfacing none is shared, and with + and − together 0, and no next prior opens, two cells, step 249.

        *Adding: a sharing with no prior opening with one parity surfacing.*

663. With a spiral offered nothing from selves not its own, each self with a parity and nothing arriving with its first momentary, step 646: with first momentary none surfaces and each self is next its parity inverted, shared with 10, step 660; with its second each is next parity surfacing, parity of a self going along to it with that momentary, step 661. Each further momentary is step 660 with each self. A prior an other's and inverted, step 646, is these two momentaries: an inverting with its first and an other's arriving with its second.

        *Adding: a spiral's first two momentaries, an inverting and an other's arriving.*

664. A self with a prior parity, offered that parity from no self with its first momentary, shares 0, step 660. A second self with a parity, receiving from it and from no other self, has none surfacing with its first two momentaries, a 0 offered surfacing none, step 260, inverts with each, and is its own first parity again with its third. Step 646 is of a spiral offered nothing from selves not its own.

        *Adding: a self offered its own parity from no self, a self receiving from it inverting twice.*

## 42 At no prior, + and − observed alike, an odd spiral's like pair, spirals crossed, an even torus and names at resolver

        *Entering: Exhibit ONE's table of no prior, its four cells; + and − observed alike, an opening inverted with its numbers alike; an odd spiral's like pair, a 0 with each even momentary; two spirals crossed, 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 arriving side; odd names 8 apart.*

665. Exhibit ONE's table of no prior is a sharing with no prior with its four cells, steps 431 and 662: one parity surfacing, parity shared and next prior as it arrives, sharing opening; none surfacing, none shared; + and − together, 0 shared; and no next prior with each of three.

        *Adding: Exhibit ONE's table of no prior, its four cells.*

666. + and − are observed alike with resolver's executing, with each prior parity or none: with an opening of each + a − and each − a +, each parity shared and each next prior is inverted, each 0 and each none 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 − observed alike, an opening inverted with its numbers alike.*

667. With a spiral of an odd number of selves offered nothing from selves not its own, step 270, each pattern of parities carries 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 carried with that momentary, shares 0 with 10, and each other self is parity-changing; with each odd momentary each self is parity-changing, step 270.

        *Adding: an odd spiral's like pair, a 0 with each even momentary.*

668. Two spirals crossed with one self of each, both ways, step 274, come to each self's goings along again after 2 from a momentary on, two crossing selves opposite from it on, with each of eight rows of Exhibit ONE's table.

        *Adding: two spirals crossed, 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, observed with Exhibit ONE's table; four times its smaller number with six rows, and no rule worked.*

669. A torus with either number even, each self with a parity alternating along and across, step 280, is parity-changing with each self with each momentary and comes to its parities again after 2: with first momentary none surfaces, and with each further its two arriving are alike as a self's parity inverted, or + and − together, step 660.

        *Adding: a torus with either number even, again after 2.*

670. 13-next-same-existing with resolver is each sharing parity-offerings 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.*

671. Four momentaries of exchanging, step 110, 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.*

672. Of two bi-foldings of 1 to 9, step 554, 3-7-2-6 carries two names between selves, 2 and 6, and 4-8-1-5 none; opened, step 557, 3-11-6-14 carries 6 and 14, 2-15-7-10 carries 2 and 10, 1-9-8-16 carries 9, and 4-13-5-12 none; 17 is on no bi-folding, step 294.

        *Adding: names between selves on bi-foldings.*

673. 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 arriving side none, 6 to 2, 10 to 14 and 9 to 17; and odd names are four pairs 8 apart, 3 prior received and 11 next prior, 5 receiving sharing and 13 a sharing parity-offerings go from, 7 parity observing and 15 parity surfaced, and 1 resolver entered and 9 parity-offering going along.

        *Adding: co with resolver, a sharing side and an arriving side; odd names 8 apart.*

## 43 Fixed unchangeable at both sides, a bounded executing, bi-foldings' momentaries, 9 and 17, prior two added and co-sequencing

        *Entering: 7 and 5, two fixed unchangeable with each; a bounded executing fixed with each momentary, a proof of its whole; four bi-foldings' momentaries in sequence; 9 a next prior and 17 a next now; prior two added as an exclusive or; co-sequencing of competency's parity and morality's.*

674. 7 and 5 each carry two of ten unchangeables, step 559: 7 a parity fixed as a magnitude and a rate fixed as a value, 5 a between fixed as a cut and a middle fixed as an end; these two are carried one at a time, step 565.

        *Adding: 7 and 5, two fixed unchangeable with each.*

675. A sentence drawn from resolver's executing with a number of momentaries, fixed as same with each momentary, is a proof of its whole, step 180, a form still, step 181: finding is its executing, step 616, and a rule fitted with each case worked is of those cases and no wider.

        *Adding: a bounded executing fixed with each momentary, a proof of its whole.*

676. 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, crossing between a self's span and a same-existing-society's, step 294, each name's momentary with Exhibit ONE's table of seventeen names.

        *Adding: four bi-foldings' momentaries in sequence.*

677. 9 is next prior, step 112, and 17 next now, a same-existing-society's next momentary, step 262, Natural Naming's own sentence.

        *Adding: 9 a next prior and 17 a next now.*

678. With parity, prior two added, step 157, is odd with two parting and even with two alike, an exclusive or of step 653: odd and odd, odd and even, even and odd are its cycle of three, and even and even is itself again, step 93.

        *Adding: prior two added as an exclusive or.*

679. With Exhibit ONE's co-sequencing each odd name within one self is of competency's parity and each even of morality's, step 289, and 1 is self offering itself to coupling.

        *Adding: co-sequencing of competency's parity and morality's.*

## 44 An odd spiral two rounds, the second inverted, and a changing at both routings

        *Entering: an odd spiral two rounds, its second its first inverted; each parity-offering of a self coupled both ways going both routings together; torusing and corusing of dimensions, of no name.*

680. Once along an odd spiral, after twice its number of momentaries, each self's parity arrives inverted, and twice along, after four times, as it was, steps 268 and 270: an odd spiral is two rounds of its selves, its second its first inverted. An even spiral arrives as it was after one round, and, opened alternating, after each second momentary, step 269.

        *Adding: an odd spiral two rounds, its second its first inverted.*

681. With resolver each parity-offering of a self coupled across and along goes both routings together: with 17 one parity-offering of 10 goes on with 6 and 10 across and with 9 along, each with its coupling, step 276, and with a torus of selves each self goes along and shares across, step 280; with a spiral a parity-offering goes along. A routing with odd momentaries or with even, each with its own opening, is no line of resolver.

        *Adding: each parity-offering of a self coupled both ways going both routings together.*

682. Torusing and corusing are dimensions' inward and outward, torusing odd and corusing even, steps 155 and 156, and no resolver name is either: names are their numbers and their kinds, steps 230 and 288, and natural torusing is method's one name, step 151.

        *Adding: torusing and corusing of dimensions, of no 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, none 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.*

683. Each two momentaries a spiral offered nothing from selves not its own carries each self's parity to next self, inverted, step 270: 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, each self passed twice, once with each parity, loop with its opening place again after four times number of selves, counted as momentaries; with an even number they are two loops, each self once on each, a self's two parities on these two, and neither loop reaches its other.


        *Adding: a spiral's places one loop with an odd number of selves, two loops with an even.*

684. A spiral comes to its sharings again, and to its parities carried with an odd momentary, after twice k momentaries, k the least with which each self's parity is that of a self k prior, inverted with an odd k, step 683; a coming again is after an even number of momentaries, a 0 with each even momentary or spiral alternating, after 2. With an odd number of selves an odd k, carried its number of selves times, brings each self to itself inverted, true of no pattern: 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.*

685. With an odd prime number of selves its least alike shift is one, each self alike, or its prime, step 684: each pattern is again after 4 momentaries or after four times its prime, and after none 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 267.


        *Adding: an odd prime spiral again after 4 or after four times its prime, none between.*

686. Along a spiral pairs parting by parity are an even count, each parting coupling with one back: like pairs are an odd count with an odd number of selves and even with an even, steps 269 and 667, a lone self a like pair with itself. An odd spiral carries a like pair with each momentary and a 0 with each even momentary; an even spiral alternating along carries none.


        *Adding: like pairs an odd count with an odd spiral, even with an even.*

687. With a torus of selves with an even number along, selves opened alternating along: each self's along offering, from second momentary, is parity other than its own, none offered with its first, and with each across offering beside it its surfacing is that parity or 0, a parity-changing, step 249; each self inverts with each momentary, alternating along same-existing, and parities are again after 2 from first momentary. Alike with an even number across. 2 is of an opening alternating along its even number, step 280.


        *Adding: an even torus again after 2, with each momentary each self inverting.*

688. With a torus of two odd numbers opened alternating, its last and its first alike along and across, step 280: 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 offered 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 crossed, each derived at resolver's cells


        *Entering: one 0 or none with each line across, and two that carry 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 derived: 2p round its lines, q round a line, their greater a 0's round; a crossing self's two cells an across offering alters; a 0 ended with a seam by its other parity across, a like pair still; two spirals crossed again after 2 from 4m or from 2n + 1, each row agreeing; two spirals of one number alike with each momentary, a 0 not ended.*

689. With a torus of two odd numbers, opened as with step 688, each line of selves across carries one 0 or none 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 its two priors were not both a 0 one momentary before. Each other self, from second momentary, is offered across parity other than its own and inverts.


        *Adding: one 0 or none with each line across, and two that carry it on.*

690. 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 689; one after that one, with its other none, 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 688.


        *Adding: a line's next 0 one after its later of two, two after with two alike.*

691. 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 688 and 690; 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, without end.


        *Adding: each self's first 0 with i + j + 2 and its lesser more, each line two momentaries behind its prior.*

692. With q more than twice p first line's 0 passes one self on with each momentary round its q selves and waits with no self, each line after first line two momentaries behind its prior, first line more than two behind last line, steps 690 and 691: 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.*

693. 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 690 and 691: each line's 0 is round its q selves within 2p momentaries, each self a 0 once each 2p, an even number, its parity inverted, and sharings are again after 4p, from momentary 3p − 3. A torus of 1 by q is step 692'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.*

694. Divide of step 280 is derived, steps 692 and 693: 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 690's rule, from first 0 of step 688 and each self inverting with each momentary it is no 0, worked 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 derived: 2p round its lines, q round a line, their greater a 0's round.*

695. With two spirals crossed, step 274, a crossing self is offered its along prior's parity-offering and its other crossing self's, and is not-changing exactly with one of them or both its own parity and neither its other parity, step 249. An across offering alters two cells: along its own parity and across its other, + and − together, a parity-changing; along a 0 and across its own parity, a not-changing.


        *Adding: a crossing self's two cells an across offering alters.*

696. Each self inverting with each momentary is exactly each spiral alternating from its first self to its last and, with an odd spiral, its last and its first alike with two crossing selves opposite, steps 686 and 695: an odd spiral's like pair rests with its seam, its 0 ended by its other parity arriving across, + and − together, and its like pair is with each momentary still.


        *Adding: a 0 ended with a seam by its other parity across, a like pair still.*

697. Two spirals of two odd numbers crossed, m from 3 and n greater than m, opened as with Exhibit ONE's tables: crossing selves are alike to momentary 2m + 1; with it m's spiral's crossing self, offered a 0 along and its own parity across, is not-changing, and from 2m + 2 these two are opposite; each spiral's crossing self, next offered 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 offered both parities from next momentary, steps 695 and 696. 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 668.


        *Adding: two spirals crossed again after 2 from 4m or from 2n + 1, each row agreeing.*

698. Two spirals of one number of selves crossed, opened alike, are alike self for self with each momentary, crossing selves alike, and with an odd number its 0 is not ended, step 696: two numbers differing is of deriving. Two even spirals, each alternating, are again after 2 from first momentary, crossing selves alike.


        *Adding: two spirals of one number alike with each momentary, a 0 not ended.*


        *Unsure: step 274's each prior pattern is derived 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 crossed from 19, wait on an executing.*