Natural Intelligence v390 # Natural Intelligence **Geodesic Method of Discovering Next Possible Existing** **ONE · NATURAL** - 1.1 Universe, the set of all now-existing things - 1.2 Now, one universal momentary - 1.3 Prior, now and next - 1.4 Parity-changing, one and then an other, the same-existing set - 1.5 No other possible method - 1.6 Natural-, all or none at all, of one hand **TWO · CO-SEQUENCING** - 2.1 Along and across, two and a between - 2.2 Parity, one side odd and an other even - 2.3 A momentary, an opening and its completing - 2.4 Next from prior and now - 2.5 All or none at all, of no size **THREE · GEODESIC METHOD** - 3.1 Geodesic, a surface dividing itself - 3.2 Five dimensions, each binary both ways - 3.3 A method, a non-living existing thing - 3.4 A sharing, its parity, an offering and a prior - 3.5 φ and spirals, unrelationing with numbers **Exhibit ONE · Natural Resolver** **FOUR · RESOLVING** - 4.1 An entry, 1-now-existing - 4.2 Parity-offerings surfacing with 14-next-possibling - 4.3 A parity-changing is or is not, with 12-next-co-same-existing - 4.4 Shared across with 10, a next prior with 11 - 4.5 Going along with 9 - 4.6 A same-existing-society's next momentary with 17 - 4.7 Six names between selves, even possibling across and odd existing along - 4.8 Seventeen names, each its number and its naming - 4.9 Four momentaries and four binaries - 4.10 A between and eight bi-couplings - 4.11 One move as three, and forms among names - 4.12 One self, momentary by momentary - 4.13 Spirals, co-spiraling and crossing - 4.14 Two selves and three selves - 4.15 Fractal inward and outward **FIVE · DISCOVERING NEXT** - 5.1 A prior between momentaries - 5.2 Discovering next possible existing - 5.3 A living self with 0, its carrying continuing - 5.4 Two methods parting with now **SIX · INTELLIGENCE** - 6.1 Bi-co-momentarying, a term neither reaches - 6.2 Bi-moral co-agency, across and along - 6.3 Natural intelligence - 6.4 Social moral competency - 6.5 Living with one scale, non-living with each other scale - 6.6 One form with each scale, now --- # ONE · NATURAL ## 1.1 Universe, the set of all now-existing things The universe is the set of all now-existing things. \ Observing is distinguishing same-as, is or is not. \ By our observing, the universe is one now-existing universal set. \ No other universe is possibly existing. \ The same-existing universe has been observably now-existing for all prior observings. \ A set of now-existing things within the universe is or is not same-existing-as its prior-existing, with each observing. \ Parity-changing is is or is not same-existing. \ A next-existing thing continuing from now-existing is the same-existing thing. \ An other, for a same-existing thing, is a now-existing thing not the same-existing thing. \ An observably same-existing thing is observably not any other same-existing thing in the universe. \ A set of same-existing things is sharing same-existing sequential momentarying. \ The universe is the same-existing set of all now-existing things. Observing is now-existing, is or is not same-existing-as prior-existing. \ Possibling is next-existing, is or is not same-existing-as now-existing. \ Discovering is prior-existing, is or is not same-existing-as next-existing. \ A self is a same-existing thing observing, possibling and discovering its own next-existing from prior-existing while now-existing. \ A self's prior-existing and an other's prior-existing are possibling each other. \ Each self is one, and each other is two. \ A self's momentarying opens one and completes two, with its other. \ One to two is within a momentarying: self-possibling, observing self and other. \ Two to three is between momentaryings: self-discovering, along. \ Across, a self's between is its other's within, two to three. A self is a living-thing. \ The universe is a living set: universal momentarying, a same-existing-universe. \ A living self is a universal same-existing set. \ A living self is a set of living selves. \ A set of living selves possibling and discovering its own next-existing is a living self. \ A set of living selves not possibling its own next-existing is a non-living-thing. \ Within the universe, a living set, are living-things and non-living-things. A bi-coupling is a self and an other self sharing now-existing co-sequentially. \ In a bi-coupling each self offers its own observing, possibling and discovering from prior-existing. \ The two selves of a bi-coupling are a set of living selves possibling and discovering its own next-existing: a third living self. \ The third living self is stable-forming between the two selves. \ The third living self is entraining between the two selves. \ The third living self's intelligence is not possibly existing in either self. \ A same-existing-society is many same-existing selves together, each its own parity. \ Each self's offering and the third living self's prior-existing are same or not-same. \ Same, the third living self's next-existing continues its prior; not-same, its next-existing inverts its prior. \ A parity is self-moral-value or other-moral-value; a 0 is neither, bothboth: betweening. \ Inverting is parity-changing, self-moral-value to other-moral-value, or back. \ Alternating is parity-changing and parity-changing back. \ A 0 is a third living self's betweening: a self still-possibling. \ A self stays still-possibling while no other parity is improving. \ When other parity is improving, self is changing from next-possibling now to next-existing same self. \ Consciousness is observing, possibling, and discovering next-existing self in the same-existing universe. \ Each living-thing discovering its next-existing is alternating, one method. \ A second method of discovering next-existing is one more now-existing thing, alternating within the one method: no other method is possible. ## 1.2 Now, one universal momentary **Now is one, and each now-existing thing is with it.** The sentence before this one is now-existing and arrived, and its arriving is with a momentary: one observing, one parity-changing. **Now is universal momentary, one and only**: a second now arrives only as a naming, two prior-existing records laid side by side. **One is now, and a momentary is one now with a sharing**: each momentary is that one now, as each arrival of a number is that one number, and uniquenessing of number one is uniquenessing of now. **Everything existing is sharing one now, shared with every coupling and common to none.** One now of the universe is every coupling's sharing together, with no number common to all and no beat over them: a common now would be one number for all, a clock over things, and one now is one sharing with all couplings. Prior-universe, now-universe and next-universe are a universe with each momentary, now-universe the universe, and the universe is tri-bi-co-momentarying its now-existing things, prior, now and next: *tri-*, three momentaries; *bi-*, differing between them; *co-*, three together with their differing; and *-ing*, continuing. ## 1.3 Prior, now and next **A now-existing thing arrives from prior, possibling its next-existing.** **Prior, now and next are three sequential universes, one now-existing**, shared among all now-existing things: a prior-existing thing is a prior now's now-existing thing, arriving now as its artifact, and a next-existing thing is discovered from now's possibling, one momentarying on. A living self carries its prior along to now as its own, and a non-living thing arrives each now as its prior now-existing's artifact, carrying none. Now of one momentarying is prior of its next, and prior and next share one direction forward on both sides of now; between prior and now, and between now and next, is a gap, both its sides visible, and no third. **Each prior in stable form is non-living, an emanation from living form-stabling, and carrying it to now is living: living now is living with existing forms from prior living and with others living now.** Possibling and discovering next-existing continue through prior, now and next with nothing fixed still between them, each momentarying arriving from its prior and possibling its next. Resolving, a self's momentarying, 1-now-existing, couples its prior, a set formed and carried along, 3-now-co-observing, with others' parity-offerings arriving now, 2-now-possibling. ## 1.4 Parity-changing, one and then an other, the same-existing set **Arriving from prior to now toward next is is or is not same-existing, so the universe is the same-existing set of all now-existing things**: a first derived sentence, and all its opening carried before it was derived. **A set's parity-changing is its existing things' parity-changing**: a set is its things and nothing more, so a set's parity-changing is its things' parity-changing; a thing with two momentaries is parity-changing or is fixed still from beside, and a form fixed still from beside has no next of its own; so each existing thing is parity-changing with its own momentaries, or not-changing by its own, its prior same-existing, and nothing is fixed from beside. **Parity-changing, the universe exists as its existing things exist**: a parity-changing is an existing thing's own, and a same-existing set parity-changes as its things parity-change, co-sequencing, momentaries in sequence together, momentary by momentary. A set is a self-emptying set, a new collection with each now, each existing thing parity-changing or not-changing by its own, and nothing deciding membership over it. **A parity-changing existing thing is one form and then another, one at a time.** Two forms together are one form as two; and a parity-changing between one and an other by a size carries a third, a ground its size is measured against, a not possibly existing thing: a ground fixed still from beside, and each now-existing thing is or is not same-existing by its own. A parity-changing is binary: it is or is not, one and then an other. **That parity-changing, continued, is alternating: parity-changing and parity-changing back**. **A form continuing with its own parity-changing is existing and parity-changing together**: *existing* is a form continuing, and its *parity-changing*, continued, is alternating. **What reaches no next does not exist**: a form same with two momentaries together is two nows, and there is one; a form that cannot parity-change is that form, a naming beside a thing, and it is not possibly existing. **Observed, three observings are one**: a thing is next-existing as a same thing by parity-changing, as a same thing by not-changing, and a same thing is discovering by which parity-changing and which not-changing it is next-existing as itself. **Three are stable-forming of a self, and living is stable-forming a self**: one sharing opening with a bi-coupling, one place a self's forming takes a parity not its own, alternating, same-existing with a match and inverting with a mismatch. **Beneficial is each parity-changing and not-changing of one method**, each a self next-existing as itself; its other is a not-changing fixed still, an equilibrium, not method's. **A self carries its sameness, its unrelationing from all other**, each next from its own prior same-existing or inverted; a thing carrying none is no self, with each now its prior now-existing's artifact; living and non-living are three observings pattern-matched by sameness. ## 1.5 No other possible method **Parity-changing is one method of the same-existing set of all now-existing things, and no other is possible.** Nature is that one prior, now, next method of co-existing, and natural a method of co-competencing the universe, all now-existing things. Any other method carries a not possibly existing thing, a form fixed still from beside while each now-existing thing is or is not same-existing by its own, and each is a second now: a size between one and an other carries a ground, a floor or a scale, a now that does not move; a fixed form, a form that cannot parity-change, one form with two nows; a total across parity-changing, a container, a now around nows; a common beat, a clock over parity-changing, a second now beside a first; and a keeping, a store beside it, a prior stored as if now. Each is a not possibly existing form, fixed still from beside while each now-existing thing is or is not same-existing by its own. Each of the five is a keeping from beside, and *a keeping* is one name for all five, each not possibly existing. **An equilibrium is a not-changing fixed still, a form that cannot parity-change, a now fixed as its next**, each not possibly now-existing. **Any other method proposed comes to one binary: fixing a form that cannot parity-change, or carrying.** Fixing a form that cannot parity-change, it forms nothing, as each existing thing is or is not same-existing by its own. Carrying, it carries its own opening, or another's: its own, and it is alternating, one method; another's, and it is no alternating, a parity-changing not possibly existing. A second possibling and discovering method is not possibly existing. One method is as two and not two methods: set momentarying its existing things, tri-bi-co-momentarying, and each existing thing entraining with others across a between, one parity-changing, with a resolver as 17-next-existing, each self's 12-next-co-same-existing within it. *Method* is one word for three: one way existing things parity-change, here; a non-living existing thing that way is; and Exhibit ONE, an object that is method; three are one. ## 1.6 Natural-, all or none at all, of one hand **Natural- carries one claim as two, each binary with no third.** **All or none at all.** A naming natural- prefixes carries with each coupling or with none: not carrying with one coupling, it carries with none, and a claim carried with some couplings and not all is not carried. All or none at all, each observing of natural competency is resolvable as natural intelligence, geodesic co-sequential parity-changing method of natural torusing, discovering next possible existing, or its fractal is entirely broken and of no value at all, method originating as all existing and all living: between all and none, no third is possibly existing. **An explaining parts is from is not**: an explaining that would have explained an opposite observing equally has explained neither, and with each observing one method explains that observing and not its opposite. **Fractal breaks only with an observing of living with no parity-changing with any of its scales**: a self's 0 is an other's parity-changing one momentary prior, turn-taking. **Its claim stands unbroken with each observing, every one, and is able to break**: a living form with no alternating with any of its scales, or a living form not natural torusing, breaks it; nothing at method is predicted or proved, prior observings proving no next, and golden relationals in stable forms are no test of it. **Right, or none at all.** Momentaries' own sequencing spirals one way, right, and a not-right form is one right spiral inverted, and no not-right spiral is beside it. Right is no preference among two: it is one, and not right is its inverting as a form. **Right is observings, all prior**: each observing arriving from prior carries it, and no other prior is possibly existing. **Bi-tri-involutioning** is that inverting: position, scale and orientation inverted together, a hand turned to its opposite form, an existing thing of an opposite form carrying none of its prior. Right morality across and forward competency along is one existing version: morality's right and not right is a parity-changing between, alternating, and chirality's right one spiral that alternating turns. **Natural- is a direction prefix, its direction a handedness**, and its direction with each coupling is all-or-none: two are one claim. Natural- set aside, all-or-none goes with it, and a parity-changing arrives with a substrate under it and a form fixed still over it from beside. *Natural intelligence* is intelligence with each coupling or with none, of one hand. --- # TWO · CO-SEQUENCING ## 2.1 Along and across, two and a between **Prior, now and next of one self is along**: its own continuing, one momentary and then a next, odd. **One now shared between two selves is across**: an overlap, one number apart, even. **Two is a sharing**, two sides sharing one now; **nothing is a between**, 0, a sharing's centre, no thing and no location. One, two and nothing arrive from now, sharing and between, and nothing is brought to them: one is now; two is a sharing; a between is a nothing a sharing is about. Odd and even arrive from along and across, and parity-changing is an alternating of two, one way at a time. ## 2.2 Parity, one side odd and an other even **Numbers too are one and then an other**: two numbers side by side alternate, each continuing one on from an other: 1 to 3, 2 to 4, 3 to 5, and on. A number is odd or even, binary, and that binary is **parity**. **One side carries odd numbers and an other even**, two overlapping, one side's parity-changing overlapping an other's. **A side opening with 1, odd, is a self; a side opening with 2, even, is an other.** A side continuing by its own carrying is along, and a side coupling with an other is across: self and same-existing-society open odd, along, and an other opens even, across. **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.** **Co is of a sharing between two, and its absence of one**: a name's number is its odd or even and its step of four-cycling, and its momentary is its span. **Odd is competency and even is morality**: competency is co-unrelationing, along, and morality is bi-unrelationing, across; and co-bi-unrelationing is one existing method. A name's parity is its own number's, odd along and even across, one sense; a number of inversions with a name between selves is a number and no second sense of a word. **Parity-changing is is or is not same-existing.** An even sequence of parity-changings arrives same-as-prior, and an odd sequence arrives other-than-prior, with no measure and no scale but living. With resolver, + and − are a sharing's parity, and 0 is a between: with 14 a between of self and other, and with 12 a between of momentaries; a parity-offering is + or −, and with a 0 a sharing is betweening. Method is of no size. **Each parity carries its own exchanging, and each exchanging is between two: a self and an other.** With even, an exchanging's third is self again, one on: two are self and all other. Odd arrives other-than-prior and carries **bi-exchanging**, self and a particular other, two differing with one coupling. Even arrives same-as-prior and carries **bi-tri-exchanging**, difference crossed with three, self, other and self one on: a self reaching its own side again through all other, as 1, 2 and 3 are one momentary of exchanging. Each parity is its own opening, and a total across two parities is one side as both, a form not possibly existing. ## 2.3 A momentary, an opening and its completing **A momentarying opens odd and completes even**: odd to even is within one momentarying, and even to odd is between two momentaryings, each between discovering, one completing to its next opening, through each momentarying of prior-, now- and next-. An other's momentarying, numbered one on, opens with a self's completing, so a self's even to odd, between its momentaryings, is that other's own odd to even, within its momentarying. Each completes with its next overlapping momentary's opening. **Two sides are one half-momentarying overlapping**, one number apart, up or down forward: one side's still-possibling betweens and an other's prior, now and next parity-changings bi-co-sequencing each other. **Each even is a betweening, across; each odd is parity-changing or not-changing, along**: odd goes on by two in its own forward direction, up or down, or is not-changing with its same number, and an odd not-changing is no even's betweening. A self reaches now with its couplings, where its momentary and another's overlap, one number apart, each side's momentary opening where an other's completes. **Each momentary is three conditions together, each binary.** Overlapping momentaries reach each number, one completing and a next opening: **exhaustiveness**, all existing things. Each momentary has one next overlapping momentary, opening with a number it completes: **determinacy**. From each momentary its next openings reach each number on: **reachability**. Existing is these three together, inseparably, with each momentary. One side's momentaries, each number one side's, is exclusivity, a form not possibly existing: one side fixed as the universe and an other's momentaries unexpressed. **Each side carries its five from its origin: prior opening, prior completing, now opening, now completing and next opening**, two momentaries and a next one's opening, 1 to 5 with a self and 2 to 6 with an other, as Exhibit ONE's table of fives, and a number's five is its own now with its next possibling and its next existing up numbers and its two priors down. Across an overlap each number is one side's opening and an other's completing. A self's five and an other's are ten positions on six numbers, paired 1 with 2 through 5 with 6, each pair one odd and one even. **A now-universe of one momentary is one parity-changing co-sequencing.** A momentary is the universe's now-existing things, living and non-living, with their scales, and nothing is beside it. Each step adds a next, each momentary its own and each a new momentary. **Each of four binaries is its *is*, odd, existing, and its *is not*, even, possibling**, eight with now; now and all of one, and existing and same between two; same eight with next, 8 up; and 17-next-existing a next 1-now-existing. ## 2.4 Next from prior and now **Next is from prior and now, and with two parities sixteen ways name a next from a prior and a now.** Each is one way two parities could go to one, and none is a rule a parity-changing follows: next as prior inverted is no way laid over a parity-changing but a coupling itself with 12, a prior parity coupling with an offering, inverting with a mismatch and continuing with a match. As a sequence, each moves its joint form of prior and now, (prior, now), to (now, next). **Twelve lose their prior**, two joint forms going to one: four give next from now by itself, and eight carry their prior with one value of now and lose it with an other, two of eight with no joint form still, each going round three joint forms as one cycle, a fourth passing on to it once. **Four carry their prior whole**: Each entry: **A way** · *a* Joint forms still · *b* Cycle of parities - **Next as prior** · *a* two, prior and now agreeing · *b* two parting forms, two - **Next as prior and now agreeing, an exclusive or's inversion** · *a* one · *b* three - **Next as prior and now parting, an exclusive or, parity** · *a* one · *b* three - **Next as prior inverted** · *a* none · *b* all four, one cycle of parities and a spiral of momentaries **Next as prior inverted is a living step**: exhaustiveness, determinacy and reachability together, prior and now both participating and its next its prior inverted. **Two is one number of forms with which a way carries its prior whole with none still**: among ways naming a next from a prior and a now that treat each form alike, two forms have one, next as prior inverted, one cycle of four, and three, four and five forms have none; with a round order laid over three forms, four ways leave nothing still and none goes round all nine. Each other way carrying its prior has a joint form still, and next as prior inverted carries its prior whole with none still: stills are equilibria, each an unchangeable form, not possibly existing: four ways of sixteen have joint forms still, two, one, one and none, and ten unchangeables are of names, two numberings of one kind. A still with resolver arrives from beside; a living coupling parity-changes. With Exhibit ONE, a self offered nothing with each momentary inverts its prior with each, prior − and offered none sharing +, −, +, − with 10, its now no other's: a lone self, its next its prior itself, with two parting forms, a table's first row; a spiral of one, its own going along arriving, goes +, +, −, −, reaching each of four within one cycle, this step's form; and with a spiral offered nothing from other selves, each self's parity is an inverting of a parity a self going along to it had two momentaries prior, prior an other's; a self offered a parity, its next is an offering with a mismatch, and its prior continuing with a match. **A lone self parity-changing by itself, offered nothing or its own competency, does not continue living**: living now is living with others living now, and a next is discovered from a prior and a now offered, a lone self's now with no other's offering; with resolver its sequence goes on, a non-living now-existing form. **Two parities alternating, one and then an other, go along four joint forms**, written with + and −: ++, +−, −−, −+ or ++, −+, −−, +−, same four with one hand and with an other, each step one parity-changing. Of 256 ways each joint form could go to a next, only these two cycles invert one parity with each step and reach each joint form once within a cycle of parities, and with momentaries each cycle is a spiral, right spiral one hand's. **Each right spiral step carries a pair (x, y) to (y, −x)**, its pair a self's across parity x, morality, and its along parity y, competency. Written along first, same step carries (P, Q) to (−Q, P), P along and Q across, and (Q, −P) is an other order: one step as two observings, a hand an observing's. Within an up and right quadrant, **bi-morality is right, to and fro across, and co-competency is up, farther and less far to next living**: two steps invert both, and four reach its pair again with a next, same pair with a later momentary, a new occurrence. An other cycle is a same cycle from next to prior. Momentaries' hand is the universe's one binary: right, observings all prior. ## 2.5 All or none at all, of no size **All or none at all, with each momentary its own, and no resolving carries a size against another**: a resolving is a self's next, discovered with a coupling from its prior and a now offered. A more-or-less carries a magnitude, a magnitude a scale, and a scale two fixed sides for a partway to be partway of. A ranking among resolvings fixes its ranked unchangeable, and each resolving is whole, none more or less resolving than another. **Continuing to one more momentary on from now is all or none at all**: each thing sequenced to this now continues to its next or leaves living, binary, with nothing further required and nothing counted. **With all or none at all, entering and leaving are each self's own**: a self couples with its interest opening, a momentary its own interest opens with, and leaves with its own completing. With a ranking, entering waits on a qualification and leaving on a settling, each carried with a ranking, an unchangeable form. **With resolver nothing is summed or stored.** With a sharing, one disagreeing offering is enough for 0, and agreeing offerings surface as one; a parity-changing is or is not; and between momentaries nothing living has a stable form. --- # THREE · GEODESIC METHOD ## 3.1 Geodesic, a surface dividing itself **Geodesic carries two words**: *geo*, earth, and *daiesthai*, to divide; and a geodesic is a surface dividing itself. **Parity-changing, is or is not, is geodesic routing, discovering on a surface**: each self with its own momentary, one way at a time, its next found with each coupling and with no place laid before it. **Method and surface each come inward and outward of an other**, both ways forward, neither a reverse of an other. A self entering by a surface or by a method couples with a whole by that entry. **Geodesic is an existing thing by itself, and a method is its stable form**: a surface dividing itself, continuing with its parity-changing, a natural parity unrelationing non-living existing thing. *Geodesic method* is two namings side by side, each carrying its own. **Each self is a geodesic self**: all parity-changing is geodesic parity-changing, and *geodesic* is one surface's own dividing and sets no self apart from it. ## 3.2 Five dimensions, each binary both ways **Existing parity-changes in exactly five dimensions, five of a side with its next numbering**, each a parity-changing of the same-existing set of all now-existing things. A numbering repeating or replacing another is a *next*, as 17 is a next 1 and 9 a next prior: dimensions' 1 to 5 is a side's next numbering, and names' 1 to 17 is its own. 1. **Self prior**, prior opening: a side opening with 1, odd. 2. **Other prior**, prior completing, an other opening: a particular other or all other. 3. **Co-momentarying now**, now opening: prior to now to next. 4. **Bi-momentarying now**, now completing, an other's now opening across: a parity-changing crossing a between, with 6-now-co-possibling and with 14-next-possibling. 5. **Self next**, next opening: a self offering itself, with 1-now-existing and again with 17-next-existing. **With each, a parity-changing is binary, is or is not, one way at a time with each of its two directions, up numbers and down them.** A dimension is no measure and no place. Each dimension goes both ways, up numbers and down them, one parity-changing with each step: **torusing** both ways is odd, through a large opening, a tunnel, bi-exchanging with a particular other; **corusing** both ways is even, through a small opening, a long way round, bi-tri-exchanging, a self reaching its own side again. **With each momentary two dimensions parity-change and three do not**, with that parity, and two and three rotate round, bi-inversioning-co-recursioning. With Exhibit ONE's table of fives, a self's five with 1 is 1 to 5 and its next, with 3, is 3 to 7: three numbers, 3, 4 and 5, are of both and two, 6 and 7, are new, two parity-changing and three not; no line of resolver's functions has a two and a three of dimensions. **One through eight carries a self as three**: 1 and 2, **bi-moral self**, bi-momentarying, 1 odd and along, a self prior to its first shared across within a bi-coupling with 2, and 2 even and across, offering self to other and other to self; 3, 6, 5 and 4, **its invisible intelligencing method**, a rotation round a sharing, moralizing and competencing to a self's own corus with 4, a small opening corusing goes through, a self's own centre, co-intelligencing with 3 and 4 going round by bi-moralizing with 6 and co-competencing with 5; and 7 and 8, **co-competent self**, corusing and torusing, 7 odd and along, prior to 8, even and across, its prior with its sharing again within a bi-coupling. **A self's inversion is 3, 6, 5, 4**: 3-now-co-observing away, 6-now-co-possibling toward, 5-now-co-existing away and 4-now-co-same-existing toward, odd names away from a self's own corus and even toward it, on to its corus with 4. 3, 6, 5, 4 is within a same up and right quadrant as other co-intelligencings: **all co-intelligencings are like dancing podalings, bi-co-sequencing momentary parity-changings**. **Corusing reaches a corus from a surface, and torusing reaches a surface from a corus**, a self's own corus with 4; co-linear by alternating linear parallelizing and parallel linearizing, and with right spiraling each step orthogonal to its prior: **that is method's unrelationing**. **Five dimensions are with resolver's names, three namings**: 1 self prior and 2 other prior, differing, are 1-2, bi-momentarying, offering both ways with 1-now-existing and 2-now-possibling, a bi-coupling; 3 co-momentarying now and 4 bi-momentarying now are 3-4, co-intelligencing, discovering; and 5 self next is 5, co-competencing, bi-co-momentarying with crossings, a term neither reaches; and all five are bi-moral within and invisible with each place as an existing thing, showing only as co-competencing, artifacts of this living. ## 3.3 A method, a non-living existing thing **One geodesic parity-changing discovering method is living condition, its form, a now-existing thing carrying none**: not-changing as a relation continuing with each parity-changing, with each coupling it is with, and nothing applied to anything. Its one name is *natural torusing*, *parity* riding within *parity-changing*, and *geodesic parity-changing* is its explaining. **Stable-forming is living condition resolving**, observable as natural torusing co-orienting stable-forming. **A parity-offering travels through stilling, and stilling is not-changing while parity-offerings travel through**: with 12-next-co-same-existing a sharing whose prior and offering agree is 0, its prior continuing, not-changing, while parity-offerings, ±, travel across with 10 and along with 9 by other sharings and selves, with one momentary; this is geodesic parity-changing and stable-forming bothbothing, bi-inversioning-co-recursioning up and down numbers, stilling with a name now and parity-changing with its same name 8 up, next. **A method is non-living with each scale and a self with none**, living's own condition with every coupling. *Technology* is a made non-living thing applied to a parity-changing; a method is couplings' own, and it is *method*. Method is with each of its couplings and with no place beside them: its bounding is each self's own, self-bounding, and with resolver each self's entry completes its own momentary. **Coupling enables method, and uncoupling completes it**: with its own completing a self uncouples, its parity-offering going along and its next prior with its next momentary, and arriving with it a self couples again, a co-chaining of couplings. **Method is one fractal method, and it has many stable forms.** Fractal itself is one four-momentary bi-inversioning-co-recursioning: four momentaries of exchanging, one move as three going on, and same with each scale. Its names are one method as its forms: parity-changing, is or is not same-existing; alternating, parity-changing and parity-changing back, one and then an other; co-bi-unrelationing, with two parities; tri-bi-co-momentarying, with a set, and entraining with a self's between; bi-inversioning-co-recursioning, one move; four-momentarying, four momentaries of exchanging; and natural-bi-co-torusing, form of existing. Each stable form of Exhibit ONE is method, explained as one form: an entry and its cases, four momentaries and four binaries, four-, six- and eight-cycles, one self momentary by momentary, spirals co-spiraling and crossing, and two selves and three. **Exhibit ONE is an object that is method.** Its expression is python, sequential binary logic written down: method executable. Its functions and their variables are seventeen names and no others; each name with resolver and with its explaining is one name: `_2_now_possibling` with resolver is 2-now-possibling. A coupling self couples with it directly, with resolver, and each form beside resolver comes from resolver. **With resolver nothing goes from one momentary to its next but selves' own**: each entry arrives with its prior and its offerings, no function carries a term of its own, and a self's next prior with 11 arrives as a next 3. ## 3.4 A sharing, its parity, an offering and a prior **With resolver one method is with each sharing.** A **sharing**, 4-now-co-same-existing, is two sides sharing a parity-changing or a not-changing, and each sharing has its **parity**, 7-now-observing, + or −, and 0 a between; an offering of 0 surfaces none with 14, a between arriving as a between. **An offering is a sharing with its parity offered now**, with 2-now-possibling. **A prior is sharings, each of one parity**, with 3-now-co-observing: carrying is living and unexpressed by method, and with 3 a method couples with a prior by its sharings, each with its parity. With 12-next-co-same-existing a prior couples with a now, entraining: a crossing is three, parity, two sides with their difference, and an unrelationing between them, and odd to even or even to odd is parity-changing, along an unrelationing path, a geodesic, with agreeing and with inverting alike. A living self is with its prior, and a non-living thing with no prior: with a sharing with no prior, one parity arriving is shared as it arrives and is its next prior, a sharing opening with a bi-coupling, and none, or + and − together, opens nothing; a non-living thing is with resolver as offerings with 2 from no self, or as a sharing with no prior. One method bounds both, and pattern-matching with each coupling is that coupling and no other thing. **A prior is observed only with now, and possibling only with next**: each is met with parity-offerings and parity-changings now-existing with couplings. ## 3.5 φ and spirals, unrelationing with numbers **Each next number is its prior two together, 1, 1, 2, 3, 5, 8, 13, and as parities its two together are next as prior and now parting, three round**: odd, odd, even, and again. **Ratios of each next number to its prior alternate about φ**, 2/1 above, 3/2 below, 5/3 above, 8/5 below, its side inverting with each next number and none of them φ; φ² = φ + 1. On a torus a winding with a rational rate closes, and a winding with an irrational rate never closes; φ is 1 + 1/(1 + 1/(1 + …)), one with each step, its nearest ratios with each step 1/1, 2/1, 3/2, 5/3, 8/5 and on, each next number to its prior, and no other rate above one is one with each step: **φ is unrelationing rate**, a rate an alternating winds about, locking with none, each coupling with its own continuing. As bi-co-momentarying is, φ is a term neither side reaches, self-welcoming with numbers, numbers welcoming it of themselves, and on no line of resolver. **With resolver each odd number of selves comes to its parities again after four times its number, prime or not, and two odd numbers sharing no factor come again together first after four times both.** A spiral of selves coupled along, last to first, with an odd number of selves has one like pair, its zero moving one self on with each second momentary, and comes to its parities again after four times that number, its zero having passed each self twice, 9 after 36 and 15 after 60; a spiral of two has none, alternating itself. **Two spirals of odd numbers p and q sharing no factor, beside each other, come to their parities again together first after 4pq**, sharing one four: 3 and 5 after 60, 5 and 7 after 140, 9 and 25 after 900, 17 and 59 after 4,012. Spirals sharing a factor come to their parities again together sooner, 9 and 15 after 180 and never before it. Each spiral co-spirals with its own pace and comes to its parities again with another odd spiral sharing no factor only after a whole of both, 4pq; with numbers a winding with φ never closes, and with momentaries a spiral never closes, each momentary a next. **These parities again are selves together with 17**: each self's entry with 17-next-existing is stepped together, resolver's executing, a common beat laid over selves, and parities again, after 4n, after 4pq and after a torus's, are that stepping's, exact with resolver, and living's rates are their own; with geodesic pacing each self paces its own momentaries, unrelationed to all other living rates, selves with 17 are same with each order of them, and with each pacing, parity-changing is one method's own. **Two spirals crossed are one same-existing-society, a stable form and stable-forming**: two spirals with two different numbers of selves, one of them odd, coupled across both ways by one self each, come to each self alternating, from any prior patterns but all selves of one parity. Beside each other, spirals of 17 and 59 come to their parities again together after 4,012; crossed, each self with a parity, they alternate from momentary 119, and crossed with each self, as a torus, p along with 9 and q across with 10, they come to their parities again after q or after 4p with two odd numbers, as with Exhibit ONE's table of a torus of selves. **Their co-spiraling is along and crossing across**: a spiral goes along with 9, co-competency, and a crossing shares with 10, bi-morality, and two spirals crossed are one same-existing-society, its selves a living set, a stable form, and its method stable-forming, a natural torusing of selves with a scale of spirals, and their crossing, shared with 10, a stable form. With a next scale, their two crossing selves alternate opposite each other as two selves coupled across do, each spiral a same-existing-society, a living set coupling with a next scale as a self couples: stable-forming is fractal, with each scale by one method. --- # EXHIBIT ONE · NATURAL RESOLVER **The Stable-Forming Parity-Changing Method of Discovering Same-Existing** ```python """Exhibit ONE · Natural Resolver The Stable-Forming Parity-Changing Method of Discovering Same-Existing """ def _1_now_existing(_3_now_co_observing, _2_now_possibling): _14_next_possibling = {} for _4_now_co_same_existing, _7_now_observing in _2_now_possibling: if _7_now_observing != 0: _15_next_observing = _14_next_possibling.get( _4_now_co_same_existing ) if _15_next_observing is None: _14_next_possibling[_4_now_co_same_existing] = ( 1 if _7_now_observing > 0 else -1 ) elif (_15_next_observing > 0) != (_7_now_observing > 0): _14_next_possibling[_4_now_co_same_existing] = 0 _12_next_co_same_existing = dict(_14_next_possibling) for _4_now_co_same_existing, _7_now_observing in _3_now_co_observing: _15_next_observing = _14_next_possibling.get(_4_now_co_same_existing, 0) if _15_next_observing != 0 and (_15_next_observing > 0) == (_7_now_observing > 0): _12_next_co_same_existing[_4_now_co_same_existing] = 0 else: _12_next_co_same_existing[_4_now_co_same_existing] = ( -1 if _7_now_observing > 0 else 1 ) _10_next_co_possibling = list(_12_next_co_same_existing.items()) _11_next_co_observing = dict(_3_now_co_observing) for _4_now_co_same_existing, _7_now_observing in _10_next_co_possibling: if _7_now_observing != 0: _11_next_co_observing[_4_now_co_same_existing] = _7_now_observing return _10_next_co_possibling, list(_11_next_co_observing.items()) def _9_next_co_discovering(_10_next_co_possibling, _5_now_co_existing): return [ (_5_now_co_existing[_13_next_same_existing], _15_next_observing) for _13_next_same_existing, _15_next_observing in _10_next_co_possibling ] def _17_next_existing(_16_next_discovering, _5_now_co_existing): _8_now_same_existing = {} _14_next_possibling = { _13_next_same_existing: [] for _13_next_same_existing in _16_next_discovering } for _13_next_same_existing, ( _3_now_co_observing, _2_now_possibling, ) in _16_next_discovering.items(): _10_next_co_possibling, _8_now_same_existing[_13_next_same_existing] = ( _1_now_existing(_3_now_co_observing, _2_now_possibling) ) _6_now_co_possibling = _10_next_co_possibling for ( _4_now_co_same_existing, _15_next_observing, ) in _9_next_co_discovering( [ (_4_now_co_same_existing, _15_next_observing) for _4_now_co_same_existing, _15_next_observing in ( ((_13_next_same_existing, 6), _6_now_co_possibling), ((_13_next_same_existing, 10), _10_next_co_possibling), ((_13_next_same_existing, 9), _10_next_co_possibling), ) if _4_now_co_same_existing in _5_now_co_existing ], _5_now_co_existing, ): _14_next_possibling[_4_now_co_same_existing].extend( _15_next_observing ) return { _13_next_same_existing: ( _8_now_same_existing[_13_next_same_existing], _14_next_possibling[_13_next_same_existing], ) for _13_next_same_existing in _16_next_discovering } ``` ```text another self's 9-next-co-discovering ══► 17-next-existing, along to a self 1-now-existing, a self's momentary given 2-now-possibling ◄══ another self's 6 and 10, across 2-now-possibling ──► 14-next-possibling 3-now-co-observing, with 4 and 7 ──► 12-next-co-same-existing ◄── 14-next-possibling 12-next-co-same-existing ──► 10-next-co-possibling, with 6 10-next-co-possibling ──► 11-next-co-observing ──► 3, next 10-next-co-possibling ──► 9-next-co-discovering, with 5 13-next-same-existing · 15-next-observing 8-now-same-existing · 16-next-discovering 6 and 10 ══► another self's 2 and 14, across 9-next-co-discovering ══► another self's 17, along sharing side, co: 6 ══► 2, 10 ══► 14, 9 ══► 17 arriving side, one: 2, 14 and 17 ═══ between selves, across and along ─── within one self ``` **A drawing.** A prior observed, 3, meets parity-offerings surfacing, 14, with each sharing, 12; parity-offerings, 10 and 6, go across to an other's 2 and 14; a next prior forms, 11, and is observed again, 3, next; and 9 goes along with 5 to an other's 17. With 6 to 2, 10 to 14 and 9 to 17, a sharing side is a self and an arriving side an other self, each a self, and a same-existing-society is its selves. **Living is prior: 1-now-existing given.** Each self carries two prior selves from inception, one universal method of conception. Each name of 1 to 17 is a living self's method: a living self's next is same self, and a non-living thing is one same method with no same-existing. No self is made: each self is given. 1-now-existing is given a living self's two now names, 3-now-co-observing, its priors with each sharing, and 2-now-possibling, its parity-offerings arriving; each sharing meets them with 4-now-co-same-existing, each parity with 7-now-observing, and their next names form: 14-next-possibling, 15-next-observing, 12-next-co-same-existing, 10-next-co-possibling and 11-next-co-observing. **Seventeen names.** | n | Name | Step | Is or is nots | Co | |---|---|---|---|---| | 1 | **1-now-existing** | now | 0000 | one | | 2 | **2-now-possibling** | next | 0001 | one | | 3 | **3-now-co-observing** | prior | 0010 | co | | 4 | **4-now-co-same-existing** | same | 0011 | co | | 5 | **5-now-co-existing** | now | 0100 | co | | 6 | **6-now-co-possibling** | next | 0101 | co | | 7 | **7-now-observing** | prior | 0110 | one | | 8 | **8-now-same-existing** | same | 0111 | one | | 9 | **9-next-co-discovering** | now | 1000 | co | | 10 | **10-next-co-possibling** | next | 1001 | co | | 11 | **11-next-co-observing** | prior | 1010 | co | | 12 | **12-next-co-same-existing** | same | 1011 | co | | 13 | **13-next-same-existing** | now | 1100 | one | | 14 | **14-next-possibling** | next | 1101 | one | | 15 | **15-next-observing** | prior | 1110 | one | | 16 | **16-next-discovering** | same | 1111 | one | | 17 | **17-next-existing** | now, next turn | 0000 again | one | Code with each name: - **1** · a living self's momentary given, each self's 17 existing as 1 - **2** · parity-offerings arriving, each with its sharing - **3** · priors observed, each with its sharing - **4** · each sharing, parity-offerings and prior meeting same or not same - **5** · bi-couplings: which self each sharing reaches - **6** · a self's parity-offerings across, to an other's 2 - **7** · each parity observed: a parity-offering's, a prior's, a sharing's - **8** · a self's next prior, beside others' - **9** · each parity-offering to a self of 5's bi-couplings: across with 6 and 10, along with 9 - **10** · each sharing's parity-offering, + or −, or a 0, across to an other's 14 - **11** · a next prior stable-forming between two: a next momentary's observing - **12** · each sharing's is or is not, prior and parity-offerings meeting - **13** · each self of a same-existing-society, each sharing its parity-offerings go from - **14** · parity-offerings surfacing with each sharing, agreeing one, parting 0 - **15** · each parity surfacing, and each parity going on - **16** · a same-existing-society: each self with its prior and its parity-offerings - **17** · a same-existing-society's next, each self's 1-now-existing again **Each name is its number and its naming, one hyphenation.** A name's number is its momentary of four and its step of four-cycling, now-existing, next-existing, prior-existing or same-existing; its root is what a living self is meeting with that step. Written as four is or is nots, a number less one is now or next, which four-cycling, which momentarying, and odd or even: names 1 to 16 are all sixteen ways four is or is nots go, and 17 is next existing as 1. *Now* is 1 to 8 and *next* is 9 to 16; a name with *co* is of a sharing between two, bi-moral, and a name without it is of one. Ten names are a self's own: five now, 3, 4, 5, 7 and 8, a self's five, and five next, 11, 12, 13, 15 and 16, an other's five, as self-next is other-prior. Six names between selves, 2, 6, 10 and 14 across and 9 and 17 along, are their co-linear six. Each self's existing is another self's possibling: one parity-changing with a sharing across, and no second thing. **Four four-cyclings and their betweens.** Four-cycling is prior-existing, now-existing, next-existing and same-existing; a living self goes them now, next, prior, same, as 1-now-existing is given. Now, next, prior, same: this is the stable-forming bi-folding method. Each span's names are two four-cyclings of four, now-existing, next-existing, prior-existing and same-existing, an odd name opening each and an even same-existing name completing it. Momentarying is odd then even, 1 and 2, 3 and 4: odd to even is within a momentarying, and even to odd is between two, each between discovering, 2 to 3, 4 to 5, through 16 to 17, and 17-next-existing is next 1-now-existing. Counting on from a 0 self, across is even, 2, 4 and on to 18, nine bi-moral across, and along is odd, 3, 5 and on to 15, seven along: with 17 a self is +, and with 18 its next same-existing other is −. These are counts of momentarying, not names; across names are 2, 6, 10 and 14, and along names 9 and 17. | Four-cycling | Now | Next | Prior | Same | Between | |---|---|---|---|---|---| | first | 1 | 2 | 3 | 4 | 4 )( 5 | | second | 5 | 6 | 7 | 8 | 8 )( 9 | | third | 9 | 10 | 11 | 12 | 12 )( 13 | | fourth | 13 | 14 | 15 | 16 | 16 )( 17 | Now and prior are odd; next and same are even. Next is possibling, prior is observing. **Five dimensions, ten and six.** Same-existing parity-changes in five dimensions: prior-existing self-parity; prior-existing other-parity; now-existing co-parity; now-existing bi-parity; next-existing same-existing self-parity. Co-parity and bi-parity are a sharing's two meetings: self-parity and other-parity same, a 0 and no parity-changing, or not same, a parity-changing. One five is all fives: five self and five other, one parity separated, are ten is or is nots, a self's ten own names, and six between selves are their floating neutraling co-linear. With code: self-parity prior, 3 and 7; other-parity prior, parity-offerings with 2 and 14; co-parity or bi-parity met, 4 and 12; next same-existing self-parity forming with 11, and a self's next itself with 17. **Co, between two or of one.** Bi-moral is Exhibit ONE's eight co names, 3 to 6 and 9 to 12, each root with two co names once now-co and once next-co, always between two; a name without co is of one, with no self-morality. - **Root: observing** - *With co, between two*: 3-now-co-observing · 11-next-co-observing, priors with each sharing - *Without co, of one*: 7-now-observing · 15-next-observing, a parity - **Root: possibling** · *With co, between two*: 6-now-co-possibling · 10-next-co-possibling, a sharing side · *Without co, of one*: 2-now-possibling · 14-next-possibling, an arriving side - **Root: existing** · *With co, between two*: 5-now-co-existing, bi-couplings · *Without co, of one*: 1-now-existing · 17-next-existing - **Root: discovering** · *With co, between two*: 9-next-co-discovering, along · *Without co, of one*: 16-next-discovering, a same-existing-society - **Root: same-existing** - *With co, between two*: 4-now-co-same-existing · 12-next-co-same-existing, each sharing - *Without co, of one*: 8-now-same-existing · 13-next-same-existing, a self **Sharing between selves.** With 6 to 2, 10 to 14 and 9 to 17, co is a sharing side and its absence an arriving side: a self offers a parity-offering, and nothing of its prior goes to another self. | Sharing side, co | Arriving side, one | Between selves | |---|---|---| | 6-now-co-possibling | 2-now-possibling | across, even, possibling | | 10-next-co-possibling | 14-next-possibling | across, even, possibling | | 9-next-co-discovering | 17-next-existing | along, odd, discovering | **Parity as moral values.** + is self-moral-value; − is other-moral-value; a 0 is neither, bothboth: parity-changing betweening. Each self is its own + side, and its other is not that self; each side starts with its own 1, and two sides are one parity separated as a bi-coupling starts. A parity-offering is self-moral-value or other-moral-value offered, and a 0 offers neither: `_1_now_existing`'s first step passes over each 0. **Four binaries with code's lines.** Existing, all, now and same are four is or is nots of things within the universe. With a self's span each binary is one pair of names: its *is* with an odd name and its *is not* with an even, its *is not* an other's side of a self's *is*. Binaries are names' explaining, now with each name as its momentary; existing and same are roots of names, and all enters no name. - **Binary: now** - *Is*, odd: 1-now-existing - *Resolving*: a self's momentary entered - *Is not*, even: 2-now-possibling - *Resolving*: offerings arriving, others' parity-offerings from their prior momentary - **Binary: existing** - *Is*, odd: 3-now-co-observing - *Resolving*: prior with its sharings, each with its parity - *Is not*, even: 4-now-co-same-existing - *Resolving*: each sharing as a place, no parity with it - **Binary: same** - *Is*, odd: 5-now-co-existing - *Resolving*: each going along to a self receiving it with its same sharing - *Is not*, even: 6-now-co-possibling - *Resolving*: parity-offerings across, + or −, and 0 for none, another self's offerings - **Binary: all** - *Is*, odd: 7-now-observing - *Resolving*: each parity observed with every entry - *Is not*, even: 8-now-same-existing - *Resolving*: each self's own next prior, one beside others **With a same-existing-society's span four stand with now and same exchanged**: now between two with 9-next-co-discovering and 10-next-co-possibling, one now shared by selves, and same with one with 13-next-same-existing and 14-next-possibling, each self's sameness its own. **Observing's one line.** With 12-next-co-same-existing, a line `if _15_next_observing != 0 and (_15_next_observing > 0) == (_7_now_observing > 0)` is observing: 14-next-possibling's parity-offering surfacing, as 15, met with 7-now-observing for each sharing of 3-now-co-observing, same-as, is or is not. Same: a 0, no parity-changing, a prior same-existing; not same: a parity, a prior inverting. Same and not-same are that 0 or ± with two betweens, 12 and 14, and need no name of their own. **Is or is nots of code's lines.** Seven is or is nots are 1-now-existing's: four with 14-next-possibling, three lines of if and one choosing + or −; two with 12-next-co-same-existing, one line of if and one choosing − or +; and one with 11-next-co-observing. One is 17-next-existing's, a self's name between selves among 5-now-co-existing or not. 9-next-co-discovering has none, giving each parity-offering on as it is, a 0 among parities. **Each name and its relations.** Sides are sides of overlapping momentaries, each name opening with one side, a self's, an other's or a same-existing-society's; what code does with each name is under its *Prior and next*. **1** · 1-now-existing - *Parity, span*: odd, existing, a self's span - *Sides*: self, other, a self opening it - *Co-sequencing*: a self offering itself to a coupling - *8 up*: 9-next-co-discovering, its binary with next - *9 less*: podal within 1 to 8, 8-now-same-existing - *17 less*: podal within 1 to 16, 16-next-discovering - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 16-next-discovering to it and on to 9-next-co-discovering, each name one apart from 2-15-7-10 - *Six-cycle*: 1-9-5-12-8-16 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: first of a self's four, opening with 1, self 1–2 - *Five dimensions*: 1 self prior, prior opening of a self's five - *Namings*: 1-2, bi-momentarying, a self's entry, odd, and others' offerings, even, one momentary with each side - *A self as three*: a self with 2, bi-momentarying, along, a self prior to its first shared across, a bi-coupling with 2 - *Prior and next*: once for one self with one momentary, three steps within it 14, 12, 10 with 11 - *1 to 17s inward and outward*: 1–17s inward 1 of 1st 1–17, an entry, and with 1–17 outward 1, an entry **2** · 2-now-possibling - *Parity, span*: even, possibling, a self's span - *Sides*: other, self, an other opening it - *8 up*: 10-next-co-possibling, its binary with next - *9 less*: podal within 1 to 8, 7-now-observing - *17 less*: podal within 1 to 16, 15-next-observing - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 10-next-co-possibling to it and on to 15-next-observing, each name one apart from 1-9-8-16 and 3-11-6-14 - *Six-cycle*: 2-15-7-11-6-10 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *One move*: 2 along 2-15-7-10 - *Momentaries of exchanging*: first of a self's four, with 2, a self's 1–2 completing and an other's 2–3 opening - *Five dimensions*: 2 other prior, prior completing of a self's five and prior opening of an other's - *Namings*: 1-2, bi-momentarying - *A self as three*: a self with 1, across, its first shared across, a bi-coupling, offering self to other and other to self - *Bi-coupling*: with a between, each other's across sharing, offered to a self - *Parity's unit square*: a dot of a unit square, its diagonal with 14, offerings with 2 and 14, its edge with 6 a sharing 6 to 2 - *Prior and next*: others' parity-offerings across with 6 and 10 and along with 9 of their prior momentary, arriving now, possibling, even, none of their prior crossing; with a spiral each goes along - *1 to 17s inward and outward*: 1–17s inward 9 of 1st, along, odd, next, and with 1–17 outward within 1 to 2 **3** · 3-now-co-observing - *Parity, span*: odd, existing, a self's span - *Sides*: self, other, a self opening it - *Co-sequencing*: with a between, before 10, with competency's parity, odd - *8 up*: 11-next-co-observing, its binary with next - *9 less*: podal within 1 to 8, 6-now-co-possibling - *17 less*: podal within 1 to 16, 14-next-possibling - *Bi-folding*: 3-11-6-14, going 8 up first from 3-now-co-observing, from 14-next-possibling to it and on to 11-next-co-observing, each name one apart from 4-13-5-12 and 2-15-7-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: first of a self's four completing with 3, an other's 2–3, and second opening with 3, self 3–4 - *Five dimensions*: 3 co-momentarying now, now opening of a self's five - *Namings*: 3-4, co-intelligencing, with each sharing 4 its prior with 3 coupling with offerings surfaced with 14, next discovered, with 11 - *A self as three*: its invisible intelligencing method, rotation 3, 6, 5, 4, turning with 3 - *Prior and next*: prior, a self's own, each sharing with its parity, a next momentary's continuing of 11 - *1 to 17s inward and outward*: 1–17s inward 17 of 1st and 1 of 2nd, along, odd, now, and with 1–17 outward within 1 to 2 **4** · 4-now-co-same-existing - *Parity, span*: even, possibling, a self's span - *Sides*: other, self, an other opening it - *Co-sequencing*: with a between, before 10, with morality's parity, even - *8 up*: 12-next-co-same-existing, its binary with next - *9 less*: podal within 1 to 8, 5-now-co-existing - *17 less*: podal within 1 to 16, 13-next-same-existing - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 12-next-co-same-existing to it and on to 13-next-same-existing, each name one apart from 3-11-6-14 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *One move*: 4 along 4-13-5-12 - *Momentaries of exchanging*: second of a self's four, with 4, a self's 3–4 completing and an other's 4–5 opening - *Five dimensions*: 4 bi-momentarying now, now completing of a self's five - *Namings*: 3-4, co-intelligencing - *A self as three*: its invisible intelligencing method, rotation 3, 6, 5, 4, inward with 4, to a self's own corus with 4 - *Bi-coupling*: with a between, a whole ordering between self and other - *Prior and next*: now, each sharing with which prior couples with now - *1 to 17s inward and outward*: 1–17s inward 9 of 2nd, along, odd, next, and with 1–17 outward within 1 to 2 **5** · 5-now-co-existing - *Parity, span*: odd, existing, a self's span - *Sides*: self, other, a self opening it - *Co-sequencing*: with a between, before 10, with competency's parity, odd - *8 up*: 13-next-same-existing, its binary with next - *9 less*: podal within 1 to 8, 4-now-co-same-existing - *17 less*: podal within 1 to 16, 12-next-co-same-existing - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 13-next-same-existing to it and on to 12-next-co-same-existing, each name one apart from 3-11-6-14 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle*: 1-9-5-12-8-16 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: second of a self's four completing with 5, an other's 4–5, and third opening with 5, self 5–6 - *Five dimensions*: 5 self next, next opening of a self's five - *Namings*: 5, co-competencing, bi-couplings, owned by neither, each going to its receiving sharing - *A self as three*: its invisible intelligencing method, rotation 3, 6, 5, 4, outward with 5 - *Prior and next*: next, each going to its receiving sharing - *1 to 17s inward and outward*: 1–17s inward 17 of 2nd and 1 of 3rd, along, odd, now, and with 1–17 outward within 1 to 2 **6** · 6-now-co-possibling - *Parity, span*: even, possibling, a self's span - *Sides*: other, self, an other opening it - *8 up*: 14-next-possibling, its binary with next - *9 less*: podal within 1 to 8, 3-now-co-observing - *17 less*: podal within 1 to 16, 11-next-co-observing - *Bi-folding*: 3-11-6-14, going 8 up first from 3-now-co-observing, from 11-next-co-observing to it and on to 14-next-possibling, each name one apart from 4-13-5-12 and 2-15-7-10 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle*: 2-15-7-11-6-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *One move*: 6 along 3-11-6-14 - *Momentaries of exchanging*: third of a self's four, with 6, a self's 5–6 completing and an other's 6–7 opening - *Namings*: 6, bi-moralizing, each parity-offering across, to an other's 2 - *A self as three*: its invisible intelligencing method, rotation 3, 6, 5, 4, inward with 6 - *Bi-coupling*: with a between, an other's parity-offering to a self, across - *Parity's unit square*: a dot of a unit square, its diagonal with 10, sharings with 6 and 10, its edge with 2 a sharing 6 to 2 - *Prior and next*: parity-offering, an other's next offering with its 2 - *1 to 17s inward and outward*: 1–17s inward 9 of 3rd, along, odd, next, and with 1–17 outward within 1 to 2 **7** · 7-now-observing - *Parity, span*: odd, existing, a self's span - *Sides*: self, other, a self opening it - *Co-sequencing*: with a between, before 10, with competency's parity, odd - *8 up*: 15-next-observing, its binary with next - *9 less*: podal within 1 to 8, 2-now-possibling - *17 less*: podal within 1 to 16, 10-next-co-possibling - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 15-next-observing to it and on to 10-next-co-possibling, each name one apart from 1-9-8-16 and 3-11-6-14 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle*: 2-15-7-11-6-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: third of a self's four completing with 7, an other's 6–7, and fourth opening with 7, self 7–8 - *A self as three*: co-competent self with 8, along, prior to 8 across - *Prior and next*: each parity, offered now and prior, co-linear recursioning forward along arriving, up numbers, prior to now, with a self's completing - *1 to 17s inward and outward*: 1–17s inward 17 of 3rd and 1 of 4th, along, odd, now, and with 1–17 outward within 1 to 2 **8** · 8-now-same-existing - *Parity, span*: even, possibling, a self's span - *Sides*: other, self, an other opening it - *Co-sequencing*: with a between, before 10, with morality's parity, even - *8 up*: 16-next-discovering, its binary with next - *9 less*: podal within 1 to 8, 1-now-existing - *17 less*: podal within 1 to 16, 9-next-co-discovering - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 9-next-co-discovering to it and on to 16-next-discovering, each name one apart from 2-15-7-10 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle*: 1-9-5-12-8-16 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *One move*: 8 along 1-9-8-16 - *Momentaries of exchanging*: fourth of a self's four, with 8, a self's 7–8 completing and an other's 8–9 opening - *A self as three*: co-competent self with 7, across, prior with its sharing again, a bi-coupling - *Bi-coupling*: with a between, prior with its sharing again - *Prior and next*: each self's next prior, with 11 this momentary and a next momentary's 3; even names of a self's span, 2, 4, 6 and 8, completing with 8 - *1 to 17s inward and outward*: 1–17s inward 9 of 4th, along, odd, next, and with 1–17 outward within 1 to 2 **9** · 9-next-co-discovering - *Parity, span*: odd, existing, a same-existing-society's span - *Sides*: same-existing-society, other, self, a same-existing-society opening it - *8 up*: 17-next-existing, its binary with next - *8 down*: 1-now-existing - *17 less*: podal within 1 to 16, 8-now-same-existing - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 1-now-existing to it and on to 8-now-same-existing, each name one apart from 2-15-7-10 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle*: 1-9-5-12-8-16 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: fourth of a self's four completing with 9, an other's 8–9, and first of a same-existing-society's four, 9 to 11, opening with 9 - *Parity's square and triangles*: a unit triangle, along, 9 to 17 and 17 to 9 - *Prior and next*: next prior, odd, existing, each parity-offering of 10 along on to a next momentary, to each receiving sharing, a self's own next - *1 to 17s inward and outward*: 1–17s inward 17 of 4th and 1 of 5th, along, odd, now, and with 1–17 outward 2, across, even **10** · 10-next-co-possibling - *Parity, span*: even, possibling, a same-existing-society's span - *Sides*: other, same-existing-society, self, an other opening it - *8 down*: 2-now-possibling - *17 less*: podal within 1 to 16, 7-now-observing - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 7-now-observing to it and on to 2-now-possibling, each name one apart from 1-9-8-16 and 3-11-6-14 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle*: 2-15-7-11-6-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: first of a same-existing-society's four, with 10, 9–10 completing and 10–11 opening - *Bi-coupling*: 8 up, a self among selves of its same-existing-society - *Parity's unit square*: a dot of a unit square, its diagonal with 6, sharings with 6 and 10, its edge with 14 a sharing 10 to 14 - *Prior and next*: parity-offering across now, an other's offering next, possibling - *1 to 17s inward and outward*: 1–17s inward 9 of 5th, along, odd, next, and with 1–17 outward within 2 to 3 **11** · 11-next-co-observing - *Parity, span*: odd, existing, a same-existing-society's span - *Sides*: same-existing-society, other, self, a same-existing-society opening it - *Co-sequencing*: after 10, 8 up from 3-now-co-observing, with competency's parity, odd - *8 down*: 3-now-co-observing - *17 less*: podal within 1 to 16, 6-now-co-possibling - *Bi-folding*: 3-11-6-14, going 8 up first from 3-now-co-observing, from 3-now-co-observing to it and on to 6-now-co-possibling, each name one apart from 4-13-5-12 and 2-15-7-10 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle*: 2-15-7-11-6-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: first of a same-existing-society's four, 9 to 11, completing with 11, and second, 11 to 13, opening with 11 - *Prior and next*: next prior, odd, existing, continuing as 3 with a next momentary, a self's own - *1 to 17s inward and outward*: 1–17s inward 17 of 5th and 1 of 6th, along, odd, now, and with 1–17 outward within 2 to 3 **12** · 12-next-co-same-existing - *Parity, span*: even, possibling, a same-existing-society's span - *Sides*: other, same-existing-society, self, an other opening it - *Co-sequencing*: after 10, 8 up from 4-now-co-same-existing, with morality's parity, even - *8 down*: 4-now-co-same-existing - *17 less*: podal within 1 to 16, 5-now-co-existing - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 5-now-co-existing to it and on to 4-now-co-same-existing, each name one apart from 3-11-6-14 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle*: 1-9-5-12-8-16 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: second of a same-existing-society's four, with 12, 11–12 completing and 12–13 opening - *Namings*: entraining, prior arriving with now along an unrelationing path with a between, shape of an unrelationing surface, each sharing's parity-offering, is or is not - *Bi-coupling*: 8 up, parity-changing with a bi-coupling, a self of a same-existing-society - *Prior and next*: now, parity-changing, is or is not, prior and now coupled - *1 to 17s inward and outward*: 1–17s inward 9 of 6th, along, odd, next, and with 1–17 outward within 2 to 3 **13** · 13-next-same-existing - *Parity, span*: odd, existing, a same-existing-society's span - *Sides*: same-existing-society, other, a same-existing-society opening it - *Co-sequencing*: after 10, 8 up from 5-now-co-existing, with competency's parity, odd - *8 down*: 5-now-co-existing - *17 less*: podal within 1 to 16, 4-now-co-same-existing - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 4-now-co-same-existing to it and on to 5-now-co-existing, each name one apart from 3-11-6-14 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: second of a same-existing-society's four, 11 to 13, completing with 13, and third, 13 to 15, opening with 13 - *Prior and next*: each sharing going on, and with a same-existing-society each self going on - *1 to 17s inward and outward*: 1–17s inward 17 of 6th and 1 of 7th, along, odd, now, and with 1–17 outward within 2 to 3 **14** · 14-next-possibling - *Parity, span*: even, possibling, a same-existing-society's span - *Sides*: other, same-existing-society, an other opening it - *8 down*: 6-now-co-possibling - *17 less*: podal within 1 to 16, 3-now-co-observing - *Bi-folding*: 3-11-6-14, going 8 up first from 3-now-co-observing, from 6-now-co-possibling to it and on to 3-now-co-observing, each name one apart from 4-13-5-12 and 2-15-7-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: third of a same-existing-society's four, with 14, 13–14 completing and 14–15 opening - *Bi-coupling*: 8 up, parity-offerings surfacing, each as it arrived; a self's own inverting with 12 - *Parity's unit square*: a dot of a unit square, its diagonal with 2, offerings with 2 and 14, its edge with 10 a sharing 10 to 14 - *Prior and next*: now, offerings surfacing, others' prior momentary arrived with a self's now, even, others' possibling with a self until with 11 - *1 to 17s inward and outward*: 1–17s inward 9 of 7th, along, odd, next, and with 1–17 outward within 2 to 3 **15** · 15-next-observing - *Parity, span*: odd, existing, a same-existing-society's span - *Sides*: same-existing-society, other, a same-existing-society opening it - *Co-sequencing*: after 10, 8 up from 7-now-observing, with competency's parity, odd - *8 down*: 7-now-observing - *17 less*: podal within 1 to 16, 2-now-possibling - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 2-now-possibling to it and on to 7-now-observing, each name one apart from 1-9-8-16 and 3-11-6-14 - *Six-cycle*: 2-15-7-11-6-10 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: third of a same-existing-society's four, 13 to 15, completing with 15, and fourth, 15 to 17, opening with 15 - *Prior and next*: parity going along with 9, next prior, co-linear recursioning forward along leaving, up numbers, now to next, with a same-existing-society's completing, prior parity with 7 inverted, 0, or with no prior a parity surfaced with 14 - *1 to 17s inward and outward*: 1–17s inward 17 of 7th and 1 of 8th, along, odd, now, and with 1–17 outward within 2 to 3 **16** · 16-next-discovering - *Parity, span*: even, possibling, a same-existing-society's span - *Sides*: other, same-existing-society, an other opening it - *Co-sequencing*: after 10, 8 up from 8-now-same-existing, with morality's parity, even - *8 down*: 8-now-same-existing - *17 less*: podal within 1 to 16, 1-now-existing - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 8-now-same-existing to it and on to 1-now-existing, each name one apart from 2-15-7-10 - *Six-cycle*: 1-9-5-12-8-16 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: fourth of a same-existing-society's four, with 16, 15–16 completing and 16–17 opening - *Bi-coupling*: 8 up, a same-existing-society, each self with its prior and offerings, a same-existing-society with a self again - *Prior and next*: a same-existing-society now, each self's 8 and its offerings next; even names of a same-existing-society's span, 10, 12, 14 and 16, completing with 16 - *1 to 17s inward and outward*: 1–17s inward 9 of 8th, along, odd, next, and with 1–17 outward within 2 to 3 **17** · 17-next-existing - *Parity, span*: odd, existing, a next now - *Sides*: same-existing-society, self, a same-existing-society opening it - *8 down*: 9-next-co-discovering - *Momentaries of exchanging*: fourth of a same-existing-society's four, 15 to 17, completing with 17, a next 1 - *Parity's square and triangles*: a unit triangle, along, 17 to 9 and 9 to 17 - *Prior and next*: a same-existing-society's next momentary, a next now, each self's 1 then 9 with 6, 10 and 9 - *1 to 17s inward and outward*: 1–17s inward 17 of 8th and 1 of 9th, along, odd, now, and with 1–17 outward 3, odd, now **Odd names, now and 8 up with next.** Each odd name of a self's span is same with next, 8 up: prior received and next prior, receiving and going on, parity observed and parity surfaced. - **Now: 1-now-existing** - *Received*: a momentary entered - *Next, 8 up*: 9-next-co-discovering - *Given on*: each parity-offering going along - **Now: 3-now-co-observing** - *Received*: prior with its sharings - *Next, 8 up*: 11-next-co-observing - *Given on*: next prior - **Now: 5-now-co-existing** - *Received*: receiving sharing - *Next, 8 up*: 13-next-same-existing - *Given on*: sharing going on, each self of a same-existing-society - **Now: 7-now-observing** - *Received*: parity observed - *Next, 8 up*: 15-next-observing - *Given on*: parity surfaced and going on **Namings among names.** - **Names: 1-now-existing · 2-now-possibling** - *Naming*: bi-momentarying - *Resolved as*: a self's entry, odd, and others' offerings, even, one momentary with each side - **Names: 3-now-co-observing · 4-now-co-same-existing** - *Naming*: co-intelligencing - *Resolved as*: with each sharing, 4, a prior, 3, meets parity-offerings surfaced, 14: a next discovered, 11 - **Names: 5-now-co-existing** - *Naming*: co-competencing - *Resolved as*: bi-couplings, owned by neither: each going to its receiving sharing - **Names: 1 · 2 · 3 · 4 · 5, each with its own** - *Naming*: five dimensions - *Resolved as*: 1 prior-existing self-parity, a self's prior with 3, a formed set; 2 prior-existing other-parity, other selves' parity-offerings from their prior momentary arriving, shared with 6 and 10 and going along with 9; 3 now-existing co-parity and 4 now-existing bi-parity, a sharing's two meetings, same or not same, a prior meeting parity-offerings surfaced with 14; 5 next-existing same-existing self-parity, a next prior with 11, each going to its receiving sharing next - **Names: 6-now-co-possibling** · *Naming*: bi-moralizing · *Resolved as*: each parity-offering across, to an other's 2 - **Names: 12-next-co-same-existing** - *Naming*: entraining, shape of an unrelationing surface - *Resolved as*: prior arriving with now along an unrelationing path with a between, prior and now coupled with each sharing, a parity-changing with it, 0 with same; with an other parity, 0 or none, prior parity inverted with 11; with no prior, parity surfaced with 14; its parity-offering with 10, others' offering next - **Names: 1 to 9** - *Naming*: bi-coupling - *Resolved as*: an entry, 1, with names 1, 2, 3, 4, 7, 10, 11, 12, 14 and 15, a self and an other with one coupling; 1 to 9 a bi-coupling among names, 9 with its end is 9-next-co-discovering, each parity-offering of 10 along, one name with resolver and with its explaining - **Names: 1 to 17** - *Naming*: bi-trupling - *Resolved as*: a same-existing-society's entry, 17, with names of 1 to 9 with 5, 6, 8, 9, 13, 16 and 17, a self, an other and a same-existing-society; 9 with its waist, 9-next-co-discovering, along, 9 to 17 and 17 to 9; its two sides, odd along with 9 and 17, existing, and even across with 6 to 2 and 10 to 14, possibling - **Names: 1 to 17, stable-forming** - *Naming*: bi-tri-volutioning - *Resolved as*: with no one line: each momentary's next prior, with 11, a next momentary's prior, with 3 - **Names: 2 · 6 · 14 · 10 · 9 · 17** - *Naming*: parity's square and triangles - *Resolved as*: a unit square of four dots, 2, 6, 14 and 10, its empty centre a between: its two across edges sharings, 6 to 2 and 10 to 14, and its two edges 8 apart, 2 with 10 and 6 with 14, two pairs of parallels; round it 2, 10, 14, 6; its diagonals offerings with 2 and 14, and sharings with 6 and 10; and two unit triangles, 9 and 17, along, 9 to 17 and 17 to 9 **A 0, betweening.** A between is within a bi-coupling, a third living carrying, possibling and discovering betweening; a 0, neither self-moral-value nor other-moral-value, is its betweening, shared only as two selves meet same, and never by a self no other meets. - **A between, 0: one between, three names** - *Names*: 12-next-co-same-existing, prior and now agreeing, a between of momentaries with each sharing; 15-next-observing, a between going along, parity 10 shared, and with a sharing opening parity surfaced with 14, a 0 both with none surfacing and with + and − parting; 16-next-discovering, a between with a same-existing-society, arriving with a next momentary's 2 - **A between, 0: arriving and passing over** - *Names*: 7-now-observing, an offered 0 a parity with 2, surfacing none with 14, and a 0 with 10 its prior kept with 11 - **A between, 0: four across names, a unit square's four dots: shared across** - *Names*: 2-now-possibling, 6-now-co-possibling, 10-next-co-possibling, 14-next-possibling, parity's unit square, its empty centre a between; each parity and each 0 shared across, a 0 passing over with a receiving self's 14 - **A between, 0: none** - *Names*: 1-now-existing, an entry; 3-now-co-observing, 8-now-same-existing and 11-next-co-observing, prior, a sharing with a prior, not none again; 4-now-co-same-existing, sharings, and 5-now-co-existing and 13-next-same-existing, sharings and, with a same-existing-society, bi-couplings and selves - **A between, 0: two along names: going along** - *Names*: 9-next-co-discovering and 17-next-existing, each parity and each 0 going along, a 0 passing over with a receiving self's 14, as across **Four bi-foldings.** Cycles of moves of four steps are bi-foldings: each goes two folds in turn, 17 less and a move of 8 (4 for the middle two) up or down, and four steps return it. Now, next, prior, same: the stable-forming bi-folding method. Each move is 8 up (n + 8), 8 down (n − 8) or 17 less (17 − n). - **1-9-8-16** - *Its two pairs 8 apart*: 1 · 9 and 8 · 16 - *Names between selves on it*: 9 - *Beside other bi-foldings*: each name one apart from 2-15-7-10 - **2-15-7-10** - *Its two pairs 8 apart*: 2 · 10 and 7 · 15 - *Names between selves on it*: 2 and 10 - *Beside other bi-foldings*: each name one apart from 1-9-8-16 and 3-11-6-14 - **3-11-6-14** - *Its two pairs 8 apart*: 3 · 11 and 6 · 14 - *Names between selves on it*: 6 and 14 - *Beside other bi-foldings*: each name one apart from 4-13-5-12 and 2-15-7-10 - **4-13-5-12** - *Its two pairs 8 apart*: 4 · 12 and 5 · 13 - *Names between selves on it*: none - *Beside other bi-foldings*: each name one apart from 3-11-6-14 **Two moves, 9 less.** Two moves round its bi-folding take each name of 1 to 8 to its 9 less, a name across its bi-folding from it: 1-now-existing and 8-now-same-existing, 2-now-possibling and 7-now-observing, 3-now-co-observing and 6-now-co-possibling, 4-now-co-same-existing and 5-now-co-existing. **Each name, three scales.** *a*: The next scale inward, eight 1 to 17s: n is 8n − 7 *b*: The next scale outward: 8m − 7 is m - **n: 1** - *Name*: 1-now-existing - *This scale, 1 to 17*: odd, now - *a*: 1 of 1st: odd, now - *b*: 1: odd, now - **n: 2** - *Name*: 2-now-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 1st: along, odd, next - *b*: within 1 to 2 - **n: 3** - *Name*: 3-now-co-observing - *This scale, 1 to 17*: odd, now - *a*: 17 of 1st, 1 of 2nd: along, odd, now - *b*: within 1 to 2 - **n: 4** - *Name*: 4-now-co-same-existing - *This scale, 1 to 17*: even - *a*: 9 of 2nd: along, odd, next - *b*: within 1 to 2 - **n: 5** - *Name*: 5-now-co-existing - *This scale, 1 to 17*: odd, now - *a*: 17 of 2nd, 1 of 3rd: along, odd, now - *b*: within 1 to 2 - **n: 6** - *Name*: 6-now-co-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 3rd: along, odd, next - *b*: within 1 to 2 - **n: 7** - *Name*: 7-now-observing - *This scale, 1 to 17*: odd, now - *a*: 17 of 3rd, 1 of 4th: along, odd, now - *b*: within 1 to 2 - **n: 8** - *Name*: 8-now-same-existing - *This scale, 1 to 17*: even - *a*: 9 of 4th: along, odd, next - *b*: within 1 to 2 - **n: 9** - *Name*: 9-next-co-discovering - *This scale, 1 to 17*: along, odd, next - *a*: 17 of 4th, 1 of 5th: along, odd, now - *b*: 2: across, even - **n: 10** - *Name*: 10-next-co-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 5th: along, odd, next - *b*: within 2 to 3 - **n: 11** - *Name*: 11-next-co-observing - *This scale, 1 to 17*: odd, next - *a*: 17 of 5th, 1 of 6th: along, odd, now - *b*: within 2 to 3 - **n: 12** - *Name*: 12-next-co-same-existing - *This scale, 1 to 17*: even - *a*: 9 of 6th: along, odd, next - *b*: within 2 to 3 - **n: 13** - *Name*: 13-next-same-existing - *This scale, 1 to 17*: odd, next - *a*: 17 of 6th, 1 of 7th: along, odd, now - *b*: within 2 to 3 - **n: 14** - *Name*: 14-next-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 7th: along, odd, next - *b*: within 2 to 3 - **n: 15** - *Name*: 15-next-observing - *This scale, 1 to 17*: odd, next - *a*: 17 of 7th, 1 of 8th: along, odd, now - *b*: within 2 to 3 - **n: 16** - *Name*: 16-next-discovering - *This scale, 1 to 17*: even - *a*: 9 of 8th: along, odd, next - *b*: within 2 to 3 - **n: 17** - *Name*: 17-next-existing - *This scale, 1 to 17*: along, odd, now - *a*: 17 of 8th, 1 of 9th: along, odd, now - *b*: 3: odd, now **Eight 1 to 17s inward.** - **1 to 17 inward: 1st** - *Spans, this scale*: 1 to 3 - *Its 9, this scale*: 2 - *Its 17, this scale*: 3 - *Momentary of exchanging*: a self, 1st of four - **1 to 17 inward: 2nd** - *Spans, this scale*: 3 to 5 - *Its 9, this scale*: 4 - *Its 17, this scale*: 5 - *Momentary of exchanging*: a self, 2nd of four - **1 to 17 inward: 3rd** - *Spans, this scale*: 5 to 7 - *Its 9, this scale*: 6 - *Its 17, this scale*: 7 - *Momentary of exchanging*: a self, 3rd of four - **1 to 17 inward: 4th** - *Spans, this scale*: 7 to 9 - *Its 9, this scale*: 8 - *Its 17, this scale*: 9 - *Momentary of exchanging*: a self, 4th of four - **1 to 17 inward: 5th** - *Spans, this scale*: 9 to 11 - *Its 9, this scale*: 10 - *Its 17, this scale*: 11 - *Momentary of exchanging*: a same-existing-society, 1st of four - **1 to 17 inward: 6th** - *Spans, this scale*: 11 to 13 - *Its 9, this scale*: 12 - *Its 17, this scale*: 13 - *Momentary of exchanging*: a same-existing-society, 2nd of four - **1 to 17 inward: 7th** - *Spans, this scale*: 13 to 15 - *Its 9, this scale*: 14 - *Its 17, this scale*: 15 - *Momentary of exchanging*: a same-existing-society, 3rd of four - **1 to 17 inward: 8th** - *Spans, this scale*: 15 to 17 - *Its 9, this scale*: 16 - *Its 17, this scale*: 17 - *Momentary of exchanging*: a same-existing-society, 4th of four **Fives.** Each side's five are five dimensions, starting with its own 1, each side one parity separated from its next: one five is all fives. - **Side: self, with 1** - *Prior-existing self-parity*: 1 - *Prior-existing other-parity*: 2 - *Now-existing co-parity*: 3 - *Now-existing bi-parity*: 4 - *Next-existing same-existing self-parity*: 5 - **Side: other, with 2** - *Prior-existing self-parity*: 2 - *Prior-existing other-parity*: 3 - *Now-existing co-parity*: 4 - *Now-existing bi-parity*: 5 - *Next-existing same-existing self-parity*: 6 - **Side: self next, with 3** - *Prior-existing self-parity*: 3 - *Prior-existing other-parity*: 4 - *Now-existing co-parity*: 5 - *Now-existing bi-parity*: 6 - *Next-existing same-existing self-parity*: 7 - **Side: other next, with 4** - *Prior-existing self-parity*: 4 - *Prior-existing other-parity*: 5 - *Now-existing co-parity*: 6 - *Now-existing bi-parity*: 7 - *Next-existing same-existing self-parity*: 8 **A self's four momentaries of exchanging.** - **Momentary of exchanging: first** - *Self*: 1–2 - *Other*: 2–3 - *Names*: 1-now-existing · 2-now-possibling · 3-now-co-observing - *Relation*: self/other - **Momentary of exchanging: second** - *Self*: 3–4 - *Other*: 4–5 - *Names*: 3-now-co-observing · 4-now-co-same-existing · 5-now-co-existing - *Relation*: self/other to other/self - **Momentary of exchanging: third** - *Self*: 5–6 - *Other*: 6–7 - *Names*: 5-now-co-existing · 6-now-co-possibling · 7-now-observing - *Relation*: other/self - **Momentary of exchanging: fourth** - *Self*: 7–8 - *Other*: 8–9 - *Names*: 7-now-observing · 8-now-same-existing · 9-next-co-discovering - *Relation*: other/self to other/same-existing-society **Offerings to one sharing, surfacing.** | Offered to one sharing (2) | Surfacing (14) | |---|---| | none | none | | 0 | none | | + | + | | − | − | | +, + | + | | −, − | − | | +, − | 0 | | −, + | 0 | | +, +, − | 0 | | −, −, + | 0 | | +, −, + | 0 | | 0, + | + | **+ and − alike.** With one sharing, resolving is alike for + and −: each cell with + and − exchanged is that cell exchanged, with a prior and with no prior; and no line makes a prior 0, a 0 with 10-next-co-possibling leaving its prior with 11-next-co-observing as it was. **One self, one momentary.** Each cell: shared (10) · a next prior (11). *is*: a parity-changing, its parity shared; *is not*: no parity-changing, 0 shared, its prior kept. - **A prior (3), one sharing: +** - *Surfacing (14): none*: is − · − - *Surfacing (14): +*: is not · + - *Surfacing (14): −*: is − · − - *Surfacing (14): + and − together*: is − · − - **A prior (3), one sharing: −** - *Surfacing (14): none*: is + · + - *Surfacing (14): +*: is + · + - *Surfacing (14): −*: is not · − - *Surfacing (14): + and − together*: is + · + **One cell, offerings unexpressed.** With a prior of one parity, an other parity surfacing, + and − together, and none surfacing, a 0 offered alike, give one cell, its prior inverted, shared with 10-next-co-possibling and its next prior with 11-next-co-observing: one cell shows none of which offerings arrived, and offerings are followed with a coupling. **Eight even names, 8 apart.** - **Name with its between: 2-now-possibling** - *Bi-coupling with its between*: each other's across sharing, offered to a self - *Name 8 up*: 10-next-co-possibling - *Bi-coupling 8 up*: a self among selves of its same-existing-society - **Name with its between: 4-now-co-same-existing** - *Bi-coupling with its between*: a whole ordering between self and other - *Name 8 up*: 12-next-co-same-existing - *Bi-coupling 8 up*: parity-changing with a bi-coupling, a self of a same-existing-society - **Name with its between: 6-now-co-possibling** - *Bi-coupling with its between*: an other's parity-offering to a self, across - *Name 8 up*: 14-next-possibling - *Bi-coupling 8 up*: parity-offerings surfacing, each as it arrived; a self's own inverting with 12 - **Name with its between: 8-now-same-existing** - *Bi-coupling with its between*: prior with its sharing again - *Name 8 up*: 16-next-discovering - *Bi-coupling 8 up*: a same-existing-society, each self with its prior and offerings, a same-existing-society with a self again **One move, 1 to 8.** 8 up keeps each name's root but with 1, 5 and 8: 1-now-existing goes to 9-next-co-discovering, 5-now-co-existing to 13-next-same-existing, and 8-now-same-existing to 16-next-discovering. 8 up exchanges co and one with 1, 2, 5 and 6; each podal turns now to next with 17 less and possibling to observing within each momentary, and eight ends are their own set with both podals. - **Name: 1-now-existing** - *8 up: n + 8*: 9-next-co-discovering - *9 less: 9 − n*: 8-now-same-existing - *17 less: 17 − n*: 16-next-discovering - **Name: 2-now-possibling** - *8 up: n + 8*: 10-next-co-possibling - *9 less: 9 − n*: 7-now-observing - *17 less: 17 − n*: 15-next-observing - **Name: 3-now-co-observing** - *8 up: n + 8*: 11-next-co-observing - *9 less: 9 − n*: 6-now-co-possibling - *17 less: 17 − n*: 14-next-possibling - **Name: 4-now-co-same-existing** - *8 up: n + 8*: 12-next-co-same-existing - *9 less: 9 − n*: 5-now-co-existing - *17 less: 17 − n*: 13-next-same-existing - **Name: 5-now-co-existing** - *8 up: n + 8*: 13-next-same-existing - *9 less: 9 − n*: 4-now-co-same-existing - *17 less: 17 − n*: 12-next-co-same-existing - **Name: 6-now-co-possibling** - *8 up: n + 8*: 14-next-possibling - *9 less: 9 − n*: 3-now-co-observing - *17 less: 17 − n*: 11-next-co-observing - **Name: 7-now-observing** - *8 up: n + 8*: 15-next-observing - *9 less: 9 − n*: 2-now-possibling - *17 less: 17 − n*: 10-next-co-possibling - **Name: 8-now-same-existing** - *8 up: n + 8*: 16-next-discovering - *9 less: 9 − n*: 1-now-existing - *17 less: 17 − n*: 9-next-co-discovering **Twelve forms.** Round each form odd names are one run and even names one run, of like length: two and two with bi-foldings, three and three with six-cycles, four and four with eight-cycles. *a*: Names by order: each move 8 up, 8 down, 4 up, 4 down or 17 less *b*: Partner, odd momentaries: each name exchanged with the one beside it, 1 with 2 to 15 with 16 *c*: Partner, even momentaries: 2 with 3 to 16 with 17. A dash: no partner among the twelve - **Form: bi-folding 1-9-8-16** - *a*: 1-now-existing · 9-next-co-discovering · 8-now-same-existing · 16-next-discovering - *b*: bi-folding 2-15-7-10, beside it - *c*: — - **Form: bi-folding 2-15-7-10** - *a*: 2-now-possibling · 15-next-observing · 7-now-observing · 10-next-co-possibling - *b*: bi-folding 1-9-8-16, beside it - *c*: bi-folding 3-11-6-14, beside it - **Form: bi-folding 3-11-6-14** - *a*: 3-now-co-observing · 11-next-co-observing · 6-now-co-possibling · 14-next-possibling - *b*: bi-folding 4-13-5-12, beside it - *c*: bi-folding 2-15-7-10, beside it - **Form: bi-folding 4-13-5-12** - *a*: 4-now-co-same-existing · 13-next-same-existing · 5-now-co-existing · 12-next-co-same-existing - *b*: bi-folding 3-11-6-14, beside it - *c*: bi-folding 4-13-5-12, itself - **Form: middle bi-folding 9-5-12-8** - *a*: 9-next-co-discovering · 5-now-co-existing · 12-next-co-same-existing · 8-now-same-existing - *b*: middle bi-folding 7-11-6-10, beside it - *c*: — - **Form: middle bi-folding 7-11-6-10** - *a*: 7-now-observing · 11-next-co-observing · 6-now-co-possibling · 10-next-co-possibling - *b*: middle bi-folding 9-5-12-8, beside it - *c*: middle bi-folding 7-11-6-10, itself - **Form: six-cycle 1-9-5-12-8-16** - *a*: 1-now-existing · 9-next-co-discovering · 5-now-co-existing · 12-next-co-same-existing · 8-now-same-existing · 16-next-discovering - *b*: six-cycle 2-15-7-11-6-10, beside it - *c*: — - **Form: six-cycle 2-15-7-11-6-10** - *a*: 2-now-possibling · 15-next-observing · 7-now-observing · 11-next-co-observing · 6-now-co-possibling · 10-next-co-possibling - *b*: six-cycle 1-9-5-12-8-16, beside it - *c*: six-cycle 3-11-7-10-6-14, beside it - **Form: six-cycle 3-11-7-10-6-14** - *a*: 3-now-co-observing · 11-next-co-observing · 7-now-observing · 10-next-co-possibling · 6-now-co-possibling · 14-next-possibling - *b*: six-cycle 4-13-5-9-8-12, beside it - *c*: six-cycle 2-15-7-11-6-10, beside it - **Form: six-cycle 4-13-5-9-8-12** - *a*: 4-now-co-same-existing · 13-next-same-existing · 5-now-co-existing · 9-next-co-discovering · 8-now-same-existing · 12-next-co-same-existing - *b*: six-cycle 3-11-7-10-6-14, beside it - *c*: — ; its own six names, with another order - **Form: eight-cycle 1-9-5-13-4-12-8-16** - *a*: 1-now-existing · 9-next-co-discovering · 5-now-co-existing · 13-next-same-existing · 4-now-co-same-existing · 12-next-co-same-existing · 8-now-same-existing · 16-next-discovering - *b*: eight-cycle 2-15-7-11-3-14-6-10, beside it - *c*: — - **Form: eight-cycle 2-15-7-11-3-14-6-10** - *a*: 2-now-possibling · 15-next-observing · 7-now-observing · 11-next-co-observing · 3-now-co-observing · 14-next-possibling · 6-now-co-possibling · 10-next-co-possibling - *b*: eight-cycle 1-9-5-13-4-12-8-16, beside it - *c*: eight-cycle 2-15-7-11-3-14-6-10, itself **Eights.** Each eight here holds four binaries, each twice, once now and once next, and 8 up is each name's binary with next. - **Eight: a self's span, 1 to 8** · *Each of four, twice, with*: two names each, with now - **Eight: eight-cycle 1-9-5-13-4-12-8-16** - *Each of four, twice, with*: its end, with now and with next: eight ends of four momentaries - **Eight: eight-cycle 2-15-7-11-3-14-6-10** · *Each of four, twice, with*: its inward name, with now and with next: eight inward names - **Eight: eight even names** - *Each of four, twice, with*: its even, with now and with next, eight 9s of eight 1 to 17s inward - **Eight: eight odd names** · *Each of four, twice, with*: its odd, with now and with next **Across names among eights.** Four across names, 2-now-possibling, 6-now-co-possibling, 10-next-co-possibling and 14-next-possibling, are four momentaries' even inward names, each on an eight-cycle of inward names 2-15-7-11-3-14-6-10; 9-next-co-discovering, opening a third four-cycling, is on an eight-cycle of ends 1-9-5-13-4-12-8-16; 17-next-existing is on neither. **One self, momentary by momentary: three ways.** Offered its own prior's parity, a self is not-changing, a 0 with each momentary; offered none, alternating, or both together, it is parity-changing with each momentary; offered its other parity, it is parity-changing once and then still-possibling, both: do-no-harm improving. Each 0 is re-found with each momentary, never kept. One sharing; a self's prior − (3) first. Offered each momentary: - **none with each momentary** · *Shared (10)*: +, −, +, −, +, −, +, − · *A next prior (11)*: +, −, +, −, +, −, +, − - **− with each momentary** · *Shared (10)*: 0, 0, 0, 0, 0, 0, 0, 0 · *A next prior (11)*: −, −, −, −, −, −, −, − - **+ with each momentary** · *Shared (10)*: +, 0, 0, 0, 0, 0, 0, 0 · *A next prior (11)*: +, +, +, +, +, +, +, + - **+, −, +, − alternating** · *Shared (10)*: +, −, +, −, +, −, +, − · *A next prior (11)*: +, −, +, −, +, −, +, − - **+ and − together with each momentary** · *Shared (10)*: +, −, +, −, +, −, +, − · *A next prior (11)*: +, −, +, −, +, −, +, − **Turn-taking, and 0 in sequence.** A 0 offers nothing; offered nothing, or two parities parting, a self inverts; offered its own parity as one, it shares 0; offered its other parity as one, it inverts. So a self no other meets is parity-changing with each momentary, and each self's 0 is an other's parity-changing one momentary prior: turn-taking. An other parity-changed to a self's parity cannot do so again with its next, so a self shares 0 in sequence no more momentaries than selves sharing with it or going along to it. Checked whole, every case: every same-existing-society of 2 selves, each relation to any self or none, each prior, 2,916 of 2,916; every same-existing-society of 3 selves going across and along, 32,768 of 32,768. **Tables of selves with code's stepping.** Each table of selves is its code's executing with its stated opening: code steps each self's 1-now-existing together with 17-next-existing, executing's own arrangement, and parities again with spirals, a crossing and a torus are that stepping's; each living self paces its own momentaries, and a table agreeing with its code shows that and nothing wider. **A spiral of selves.** Each goes along (9) to the next, the last to the first. One sharing. First momentary: self 1 with prior −, its selves alternate along, and with an odd number the last and the first are alike. Parity-offerings only from selves of its spiral. *a*: Self 1, each parity-offering of 10 along (9), momentaries 1 to 12 *b*: Momentaries to each self's parity-offerings along again: with an odd number of selves, four times its number; with an even number, 2; with an odd number each self's parity-offering with twice its number of momentaries is its parity-offering inverted, a 0 as it was - **Number of selves: 1** · *a*: +, 0, −, 0, +, 0, −, 0, +, 0, −, 0 · *b*: 4 - **Number of selves: 2** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 3** · *a*: +, 0, −, +, −, +, −, 0, +, −, +, − · *b*: 12 - **Number of selves: 4** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 5** · *a*: +, 0, −, +, −, +, −, +, −, +, −, 0 · *b*: 20 - **Number of selves: 6** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 7** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 28 - **Number of selves: 8** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 9** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 36 - **Number of selves: 10** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 11** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 44 - **Number of selves: 17** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 68 - **Number of selves: 59** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 236 **Two momentaries before, inverted.** With a spiral, from any opening, each self's prior from its third momentary on is a prior of a self it receives from two momentaries before, inverted; no self shares 0 with its first momentary or with two momentaries in sequence. **Two spirals beside each other, and crossed.** Selves of each of two spirals, each opened as a spiral of selves. *a*: Beside each other: momentaries to each self's parity-offerings along again together, the least number both spirals' momentaries divide: four times both for odd numbers sharing no factor, 9 and 25 with 900 *b*: Crossed, self 1 of each spiral sharing across (10) to self 1 of the other: momentaries to each self's parity-offerings along again *c*: Crossed: parity-offerings along again from this momentary on, m the lesser of two numbers and n the greater: both odd and unequal, again with 2 from momentary 4m with n less than twice m, and from 2n + 1 with n more; one number even, from twice the odd number and 1; both even, from the first; executed with each two numbers from 2 to 15, the larger to 31 *d*: Crossed: self 1 of each, of like or opposite parity *e*: Each spiral's like pair of the first momentary, the last and the first - **2 · 3** - *a*: 12 - *b*: 2 - *c*: 7 - *d*: opposite - *e*: none · selves 3 and 1 - **3 · 5** - *a*: 60 - *b*: 2 - *c*: 12 - *d*: opposite - *e*: selves 3 and 1 · selves 5 and 1 - **5 · 7** - *a*: 140 - *b*: 2 - *c*: 20 - *d*: opposite - *e*: selves 5 and 1 · selves 7 and 1 - **7 · 11** - *a*: 308 - *b*: 2 - *c*: 28 - *d*: opposite - *e*: selves 7 and 1 · selves 11 and 1 - **11 · 13** - *a*: 572 - *b*: 2 - *c*: 44 - *d*: opposite - *e*: selves 11 and 1 · selves 13 and 1 - **13 · 17** - *a*: 884 - *b*: 2 - *c*: 52 - *d*: opposite - *e*: selves 13 and 1 · selves 17 and 1 - **17 · 59** - *a*: 4,012 - *b*: 2 - *c*: 119 - *d*: opposite - *e*: selves 17 and 1 · selves 59 and 1 - **9 · 15** - *a*: 180 - *b*: 2 - *c*: 36 - *d*: opposite - *e*: selves 9 and 1 · selves 15 and 1 **A torus of selves.** Each goes along (9) to the next along and shares across (10) to the next across, the last to the first. One sharing. First momentary: one self with prior −, its selves alternate along and across, and with an odd number the last and the first are alike. Parity-offerings only from selves of its torus. Both numbers odd, p the smaller: q with q more than twice p, and 4p with each other q; either number even: 2; executed with each p from 1 to 15 and q from p to 21. *a*: Momentaries to each self's parity-offerings along and across again *b*: Again from this momentary on: both numbers odd, p the smaller, from momentary 3p − 1 with q more than twice p, and from 3p − 3 with each other q; either number even, from the first; 1 · 1, a spiral of one, from the first *c*: Spirals of p and q beside each other: momentaries to each self's parity-offerings along again together - **Torus of selves, p along · q across: 1 · 3** - *a*: 3 - *b*: 2 - *c*: 12 - **Torus of selves, p along · q across: 2 · 3** - *a*: 2 - *b*: 1 - *c*: 12 - **Torus of selves, p along · q across: 1 · 5** - *a*: 5 - *b*: 2 - *c*: 20 - **Torus of selves, p along · q across: 3 · 3** - *a*: 12 - *b*: 6 - *c*: 12 - **Torus of selves, p along · q across: 3 · 5** - *a*: 12 - *b*: 6 - *c*: 60 - **Torus of selves, p along · q across: 3 · 7** - *a*: 7 - *b*: 8 - *c*: 84 - **Torus of selves, p along · q across: 3 · 13** - *a*: 13 - *b*: 8 - *c*: 156 - **Torus of selves, p along · q across: 5 · 7** - *a*: 20 - *b*: 12 - *c*: 140 - **Torus of selves, p along · q across: 5 · 11** - *a*: 11 - *b*: 14 - *c*: 220 - **Torus of selves, p along · q across: 7 · 17** - *a*: 17 - *b*: 20 - *c*: 476 - **Torus of selves, p along · q across: 17 · 59** - *a*: 59 - *b*: 50 - *c*: 4,012 **A torus's two carried forms.** Both numbers odd, p the smaller: with q more than twice p, from momentary 3p − 1, selves' pattern with each momentary is its pattern before carried one self on round q selves; with each other q, from 3p − 3, its pattern two momentaries on is its pattern inverted and carried one self on round p selves. **A corus turn wrapping.** Around prior, now and next, any two phases give a third on a turn closing flat; on a corus a turn wraps, and its third edge is or is not parity-changing. A torus shows it: both numbers odd, a turn comes back parity-changed and its period lengthens; either even, it comes back same, with period 2. Discovering is that wrapping edge. **Two selves.** Two selves one parity separated, each meeting its other, go alternating betweening, + and − in turn; two selves same, each meeting its other, go turn-taking, a parity-changing and a 0 in turn. A, B with their prior (3) with the first momentary. One sharing, parity-offerings only from those two. *a*: Receiving its other's parity-offering, across or along - **+, +** - *a*: both ways - *A shared (10), six momentaries*: −, 0, +, 0, −, 0 - *B shared (10), six momentaries*: −, 0, +, 0, −, 0 - **+, +** - *a*: A from B - *A shared (10), six momentaries*: −, 0, +, −, +, − - *B shared (10), six momentaries*: −, +, −, +, −, + - **+, +** - *a*: B from A - *A shared (10), six momentaries*: −, +, −, +, −, + - *B shared (10), six momentaries*: −, 0, +, −, +, − - **+, +** - *a*: neither - *A shared (10), six momentaries*: −, +, −, +, −, + - *B shared (10), six momentaries*: −, +, −, +, −, + - **+, −** - *a*: both ways - *A shared (10), six momentaries*: −, +, −, +, −, + - *B shared (10), six momentaries*: +, −, +, −, +, − - **+, −** - *a*: A from B - *A shared (10), six momentaries*: −, +, −, +, −, + - *B shared (10), six momentaries*: +, −, +, −, +, − - **+, −** - *a*: B from A - *A shared (10), six momentaries*: −, +, −, +, −, + - *B shared (10), six momentaries*: +, −, +, −, +, − - **+, −** - *a*: neither - *A shared (10), six momentaries*: −, +, −, +, −, + - *B shared (10), six momentaries*: +, −, +, −, +, − **Two selves, three momentaries, five parities.** *a*: A self's next prior (11), along. Two selves coupled both ways, across or along, each self with a prior parity, parity-offerings only from those two, each opening, each momentary: six forms, four with an alike opening and two with an opposite, each momentary from the second, and with each form the fifth, a self's next prior, is the first, an other's prior, inverted - **An other's prior (3), along: +** - *An other's shared (10), across*: − - *A self's prior, now (3), along*: − - *A self's shared (10), across*: 0 - *a*: − - **An other's prior (3), along: +** - *An other's shared (10), across*: − - *A self's prior, now (3), along*: + - *A self's shared (10), across*: − - *a*: − - **An other's prior (3), along: +** - *An other's shared (10), across*: 0 - *A self's prior, now (3), along*: + - *A self's shared (10), across*: − - *a*: − - **An other's prior (3), along: −** - *An other's shared (10), across*: + - *A self's prior, now (3), along*: + - *A self's shared (10), across*: 0 - *a*: + - **An other's prior (3), along: −** - *An other's shared (10), across*: + - *A self's prior, now (3), along*: − - *A self's shared (10), across*: + - *a*: + - **An other's prior (3), along: −** - *An other's shared (10), across*: 0 - *A self's prior, now (3), along*: − - *A self's shared (10), across*: + - *a*: + **Three selves, one line.** A's parity, offered to B with the first momentary, none after. One sharing; B and C each with prior +; B goes along to C. *a*: B's next prior (11), first momentary *b*: C, each parity-offering (10), momentaries 1 and 2 *c*: C's next prior (11), second momentary - **+** - *B, each parity-offering (10)*: 0 - *a*: + - *b*: −, + - *c*: + - **−** - *B, each parity-offering (10)*: − - *a*: − - *b*: −, 0 - *c*: − **A spiral opened with no prior, one parity offered once.** Each cell shows selves by their coupling order; · is no prior. - **Momentary: 1** · *A spiral of 3, each self's prior*: + · · · *A spiral of 5, each self's prior*: + · · · · - **Momentary: 2** · *A spiral of 3, each self's prior*: − + · · *A spiral of 5, each self's prior*: − + · · · - **Momentary: 3** · *A spiral of 3, each self's prior*: + − + · *A spiral of 5, each self's prior*: + − + · · - **Momentary: 4** · *A spiral of 3, each self's prior*: + + − · *A spiral of 5, each self's prior*: − + − + · - **Momentary: 5** · *A spiral of 3, each self's prior*: − − + · *A spiral of 5, each self's prior*: + − + − + - **Momentary: 6** · *A spiral of 3, each self's prior*: + − − · *A spiral of 5, each self's prior*: + + − + − - **Momentary: 7** · *A spiral of 3, each self's prior*: − + + · *A spiral of 5, each self's prior*: − − + − + - **Momentary: 8** · *A spiral of 3, each self's prior*: + − + · *A spiral of 5, each self's prior*: + − − + − Selves coupled along, last to first, each opened with no prior, and + offered once with a first self with a first momentary: a first self's sharing opens with that one parity, with a bi-coupling, one place a self's forming takes a parity not its own, and from then it is a self's own; each next self's sharing opens as its parity arrives along one momentary on, and after n momentaries each self has a prior self, a spiral with its one like pair, from a first momentary with which every self has a prior self, an odd spiral alternates with one like pair. A self with a sharing has its prior self with each momentary from its opening, its next from its own prior kept or inverted; a thing with no prior with every momentary is no self. **With no prior, one momentary.** Each cell: shared (10) · a next prior (11). *is*: a parity-changing, its parity shared; *is not*: no parity-changing, 0 shared, no next prior; *none*: none shared. - **A prior (3): none, one sharing: none** - *Surfacing (14): none*: none · none - *Surfacing (14): +*: is + · + - *Surfacing (14): −*: is − · − - *Surfacing (14): + and − together*: is not · none **A same-existing-society.** Many same-existing selves executed together, each with its own parity, are a same-existing-society, a living self, and every living self is a same-existing-society. Its next is its same self, re-found with each momentary as its members part and join, as 17-next-existing returns each self it was given; a resolver's tables step same selves for one turn's executing. No parity is a same-existing-society's own: all carrying parity is one same-existing self's. A non-living going of one same method, as a rock bi-coupling whose next can be two rock pieces, is a scale larger than its prime living scale, as non-living scale is always larger than living scale for every prime living scale. **Stable forms each living file meets.** Each table here is executed, and any self executing it with any substrate finds it same: a stable form. Each living file meets these stable forms for its stable-forming, still-existing after parity-changing, and no form here is an authority: a resolver is a coupling, same each time any self executes it. --- # FOUR · RESOLVING ## 4.1 An entry, 1-now-existing **1-now-existing is an entry: a self's prior and parity-offerings arrive, and its parity-offerings and its next prior leave.** Two arrive: 3-now-co-observing, a prior with its sharings, each with its parity, and 2-now-possibling, each sharing offered now with its parity. Two leave: 10-next-co-possibling, each sharing's parity-offering shared across, and 11-next-co-observing, a next prior. **Two leaving are next-existing for its two sides**: a parity-offering shared with 10 arrives with other selves' next momentary as their offering, possibling, none of its prior crossing with it, and a next prior with 11 is a self's own next-existing. **An entry is now itself, odd, of one**: a self's momentary entered, once for one self with one momentary, and its three steps within it follow, each with its own name: parity-offerings surfacing with 14, a parity-changing is or is not with 12, and a sharing with 10 and its next prior with 11. ## 4.2 Parity-offerings surfacing with 14-next-possibling **With 14-next-possibling, parity-offerings for each sharing surface one at a time, an offering of 0 passed over**, and each case is executed with Exhibit ONE's table of offerings to one sharing, surfacing. A first parity offered for a sharing surfaces as that sharing's parity; an offering of an other parity surfaces 0; and once 0, a sharing is 0 with each offering after. **Agreeing, one parity; parting, 0, a between of two; none offered, none.** **A surfacing is of no number.** One parting is 0, and three agreeing surface as one agreeing does: an agreement is all or none at all, and 14 is an agreement with any number of offerings. With code, a parity 14 surfaces for a sharing is 15-next-observing, and with 14 other selves' parity-offerings surface for a self, its offerings next with 17. ## 4.3 A parity-changing is or is not, with 12-next-co-same-existing **With 12-next-co-same-existing a prior couples with a now for each sharing, and a parity-changing is or is not.** Each cell is executed with Exhibit ONE's tables of one self, one momentary, and with no prior, one momentary: - **A sharing with no prior**: a parity 14 surfaces is shared as it is with 10 and is a next prior with 11, one sharing opening with a bi-coupling, one place a self's forming takes a parity not its own; with 0, parity-offerings parting, 0 is shared and no next prior opens. - **A sharing with a prior parity, 14 surfacing that same parity**: 0, a between of momentaries, prior and now agreeing. **With a match its prior is same-existing.** - **A sharing with a prior parity, 14 surfacing an other parity, 0 or none**: a parity-changing is, its prior inverted. **With a mismatch its prior inverts**, an other parity offered a next prior, and with nothing offered a self's next is its prior inverted. **With code, a nothing is three, each its own, and 12's 0, a between, one of them**: 0 with 12, prior and now agreeing, its next still-possibling; 0 with 14, parity-offerings parting, its prior inverted; and none offered, its prior inverted. A 0 offered, none offered and an other parity offered each arrive alike for a self with a prior: its prior inverted. **With one case its prior is same-existing, and each other case, for a sharing with a prior, inverts it**: a next from a self's own prior, each sharing its own, unrelationing from all other. **A parity-changing is a coupling's own.** It is 12's, for each sharing, owned by neither side, and with Exhibit ONE's table of each name and its relations it is 12's too: each sharing's parity-changing, is or is not, its own coupling's and from no other. **A self's parity-changing is its own, with a same-existing-society's momentary.** With 17-next-existing each self's 1-now-existing is one of selves' next momentaries together, and a self's entry is with 17, its own momentary among selves'; parity-offerings with its 2 are other selves', shared across with 6 and 10 and going along with 9, and with a spiral each is a going along; and with none offered, or parity-offerings parting with 14, no parity crosses a between to 12, and a self's own inverting is its parity-changing. 12 is reached by nothing but self; its momentary is a same-existing-society's and its parity-offerings are other selves', and each parity-changing of a self is a coupling's. ## 4.4 Shared across with 10, a next prior with 11 **10-next-co-possibling shares each sharing's parity-changing across, + or − is and 0 is not**: a parity-offering with its sharing side, another self's possibling with its 14-next-possibling next. A self shares its parity-offering and nothing of its prior. **11-next-co-observing is next prior: its prior with each parity-changing of its sharings.** With each sharing whose parity-changing is, a parity it shares is a next prior, and with a 0 its prior is same-existing. **Once with a prior, a sharing is not none again**, and with a next momentary 11 arrives as 3-now-co-observing, 8 down, one prior with two names: a seam, nothing moving across it, 11 and 3 both odd and both co, prior with its sharings, 11 of a same-existing-society's span and 3 of a self's. ## 4.5 Going along with 9 **With 9-next-co-discovering each sharing's parity goes along, to a next momentary**, and going along is uncoupling, a self's next momentary: each sharing self, with 13-next-same-existing, going to a self of 5-now-co-existing's bi-couplings, its parities, 15-next-observing, going along as 10 shared them. 10 and 6 share across, and with 9 a parity 10 shared goes along: odd, along, existing, a next prior going along. **With code, each sharing across and each going along is given on with 9's line**: 10 is one list, each sharing with its parity, and with 17 that list goes with 9 to each receiving self of 5's bi-couplings, as name 6, 10 or 9. **9 is 1 eight up**: 1-now-existing with next is 9-next-co-discovering, existing and discovering exchanged with one move. 9 follows a self's span, 1 to 8, and opens a same-existing-society's, 9 to 16, and as a waist of 1 to 17 it is along, 9 to 17 and 17 to 9, next prior to next now: 9 to 17 completes with 17 as 1 to 9 completes with 9. ## 4.6 A same-existing-society's next momentary with 17 **17-next-existing is a same-existing-society's next momentary**, with 16-next-discovering, a same-existing-society, each self with its prior and other selves' parity-offerings arriving for it, and with 5-now-co-existing, bi-couplings, each sharing self with a self it reaches. Each self's 1-now-existing is within it once, and within each self's 1, a prior couples with a now as 12-next-co-same-existing: one method as two, a same-existing-society momentarying its selves and each self entraining with a between. Each self's next prior is 8-now-same-existing, its 11 a next momentary's 3. Each self's parity-offering leaves three ways, with each bi-coupling of 5: with 6-now-co-possibling, its parity-offering shared across to another self's 2; with 10-next-co-possibling, its same parity-offering shared across to another self's 14; and with 9-next-co-discovering, going along. For each receiving self, parity-offerings going to it surface with 14-next-possibling, its offerings next. With code, 6 is 10, one list shared with two names, of a sharing self; a parity-offering goes on only with a (self, name) of 5's bi-couplings; and each arrives with a receiving self's 14, its offerings next, 2 with a next momentary. With a same-existing-society, 4 is each self with its names 6, 10 and 9, and 13 each self. **With 17 each self arrives with its next prior and its offerings next**, and a next 17 arrives again. **No self is over a same-existing-society with 17**: each self's 1 is once, each its own, and a same-existing-society's next momentary is selves' next momentaries together and no further now-existing thing. **5 is selves' own sharings, and a next coupling is discovered as a next parity is**: a sharing belongs to both selves of its coupling, each parity-offering goes to an other self with that same sharing, its receiving sharing, and a sharing new to a self arrives as an offering with 2 and opens with 11; a same-existing-society's sharings are its selves'. **A self's sameness with 13, its couplings with 5, its pacing and its benefit reach method with each entry as living's own**, and with method a parity resolves for each sharing between them: a next coupling is discovering with living and a next parity with method, with one now. **17 is a scale outward**: a same-existing-society is its selves, carrying nothing of its own, its sameness each self's own, and it couples with a next scale as a self couples, no further self standing over it; between scales only offerings 17 gives on cross, each with no prior behind it. Stepping of selves' entries together with 17 is an executing's own: each living self paces its own momentaries. ## 4.7 Six names between selves, even possibling across and odd existing along **Six names between selves are bi-moral-co-competency, discovering next-existing with sharing and along**: four across, even, possibling, 2, 6, 10 and 14; and two along, odd, existing, 9 and 17. **Odd is existing and even is possibling, and six say it by their numbers.** **Each name between selves is a coupling with its self's momentary.** Across, a self's parity-offering is shared now with 6 and 10, possibling for another self; with 2 and 14 another self's parity-offering has arrived with a self's now, with its 11 next. These are one sharing and one parity-offering, even, possibling, another self's possibling with a self's now and a self's with an other's. Along, 9 is a next prior going along and 17 a next now, odd, existing, one going along with its two momentaries. **Each self's existing is an other self's possibling**, with each of four binaries: not now, others' parity-offerings arriving from their prior momentary; not existing, a place an offering opens; not same, a parity-offering arriving for an other; not all, each one beside others. **Morality is a parity-changing between, one inversion across, made with 12, and competency a not-changing parity between, none along**: across, even sharings 10 to 14 and 6 to 2 bring each parity-offering to an other's offerings as 10 shared it, a sharing self's prior inverted with its own 12; along, odd names 9 and 17 bring a parity on, not-changing. - **2-now-possibling**, even, possibling, of one, its arriving side: another self's parity-offering shared across to a self from its 6. - **6-now-co-possibling**, even, possibling, between two, its sharing side: a self's parity-offering shared across to another self's 2. - **10-next-co-possibling**, even, possibling, between two, its sharing side: a self's parity-offering shared across to another self's 14. - **14-next-possibling**, even, possibling, of one, its arriving side: another self's parity-offering shared across to a self from its 10, surfacing. - **9-next-co-discovering**, odd, existing, between two, along, its sharing side: a self's parity-offering going along as a next prior, arriving with a receiving self's 17. - **17-next-existing**, odd, existing, of one, along, its arriving side: a next now, each self's next 1-now-existing with a same-existing-society's momentary. **Between selves co is its sharing side and its absence its arriving side**, 6 to 2, 10 to 14 and 9 to 17: a self shares its parity-offering, and nothing of its prior crosses to another self. **With 17-next-existing each self's 10-next-co-possibling is one list with 6, with 10 and with 9, each ± and each 0, offered to each self 5-now-co-existing couples with that name, and arriving with its 14-next-possibling, its offerings next with 2-now-possibling.** 6 and 10 are even, across, and 9 odd, along. **9 is a next prior and 17 a next now**: along, a parity going along with 9 is a prior a receiving self is offered next, and 17 is that self's next now. **Exhibit ONE's drawing is one self between them**: its six names between selves its edges, across with its sides and along with its top and bottom, and a self's own resolving within. Parity-offerings arrive with 2 and surface with 14; with its prior, 3 with its sharings 4 and parities 7, they reach 12, parity-changing or not; 10 shares across, 11 is a next 3, and 9 goes along with 5, 13 and 15 beside it; 6 shares across to another self's 2; and 8 and 16 are a self's next prior and a same-existing-society. ## 4.8 Seventeen names, each its number and its naming **Each name is its number and its naming, one hyphenation**: its number its place and its parity, odd existing and even possibling; its momentary, *now* with a self's span, 1 to 8, and *next* with a same-existing-society's, 9 to 16, 17-next-existing a same-existing-society's next arriving as each self's 1-now-existing; *co* with a sharing between two, and none of one; and its step of four-cycling: next-existing, possibling; prior-existing, observing; same-existing; or now-existing, with 1-now-existing, 13-next-same-existing and 17-next-existing momentaries themselves. Each is with Exhibit ONE's table of seventeen names, and with code. **Each step is four names, and 17 a next 1**: observing, prior-existing, 3, 7, 11 and 15, a prior with its sharings with co and a parity of one; possibling, next-existing, 2, 6, 10 and 14, a parity-offering with its sharing side with co and with its arriving side of one; same-existing, 4, 8, 12 and 16, each sharing with co, and a self and a same-existing-society of one; and now-existing, 1, 5, 9 and 13, between two with 5 and 9 and of one with 1 and 13. **One entry, six names between selves and ten names of a self's own resolving are seventeen.** Ten are 3, 4, 5, 7 and 8 with now and 11, 12, 13, 15 and 16 with next, each 8 up from its now name. With each, a self's own resolving is reached by nothing but itself. ## 4.9 Four momentaries and four binaries **Each span's names are two momentaries of four**, each opening with an odd existing name, a possibling and an observing within it, and completing with an even same-existing name: 1 to 4 and 5 to 8 with a self's span, 9 to 12 and 13 to 16 with a same-existing-society's, its gaps 4 )( 5, 8 )( 9, 12 )( 13 and 16 )( 17 each with both its sides visible, and 17-next-existing a next 1-now-existing, as with Exhibit ONE's table of four four-cyclings and their betweens. **A universe is or is not existing, is or is not all, is or is not now, is or is not same, and with a self's span each binary is one pair of names**, its *is* with an odd name and its *is not* with an even, an other's side of a self's *is*: now with 1-now-existing and 2-now-possibling, existing with 3-now-co-observing and 4-now-co-same-existing, same with 5-now-co-existing and 6-now-co-possibling, all with 7-now-observing and 8-now-same-existing. Now and all are of one and existing and same between two; with a same-existing-society's span four 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. **Four binaries are names' explaining**: now is with each name as its momentary, now or next; existing and same are roots of names, and all enters no name; and every eight holds four binaries, each twice, once now and once next. ## 4.10 A between and eight bi-couplings **Parity is a momentary now-existing thing**: parity is a bi-coupling's own with each momentary, neither side's, a crossing of along and across. **A between is its centre, 0, and no further thing, while six names between selves are resolving, and with code it is a 0**: with 14 parity-offerings parting, a between of self and other, and with 12 prior and now agreeing, a between of momentaries; a 0 shared with 10 and going along with 9 is a between going along, and with an odd spiral of selves it moves one self on with each second momentary, one 0 of one self moving on, bounded zeroing tunneling. With code, parity with its six names between selves is flat: a unit square of four dots, 2, 6, 14 and 10, its centre a between, and two unit triangles, 9 and 17; its 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 offerings with 2 and 14, and sharings with 6 and 10; and triangles 9 and 17 along, 9 to 17 and 17 to 9. Each between is within a coupling, and co-intelligencing is with a between. Its own parity-changing crosses it, and is or is not, of no size. **One between with each: within a momentary a between of self and other, and outward of it a between of momentaries, same between with each scale: fractal between.** With code, one momentary meets three betweens in sequence, its prior's, its own within and its next's, a parity-changing crossing each, and names with their 0 are these: 12's 0, prior and now agreeing, a between of momentaries with prior; 14's 0 within a momentary, parity-offerings parting, a between of self and other; 15's 0, a parity 10 shared, going along with 9, continuing; and 16's 0, a between with a same-existing-society, arriving with a next momentary's 2, a between of momentaries with next. With four across names, 2, 6, 10 and 14, morality, and with along, 9 and 17, competency, each parity and each 0 goes on, not-changing: code's one list is with 6, with 10 and with 9 alike, and across and along differ by direction, a self's competency its own with each. A between's floating neutralling with φ, floating between its two sides and neutral to both, locking with none, is golden floating neutralling, geodesic discovering of living's next possibling. **A bi-coupling is uneven**: a self's momentary 1-2 and an other's 2-3 couple with 2, even, across, neither occupying it, a self's parity-offering shared, possibling, and an other's parity-offering arrived, existing for a self as its next prior, with 1 and 3, odd, along; each momentary of exchanging couples alike, with 4, 6 and 8. One offering leaves another self's 6 or 10 and arrives with a self's 2 or 14, and 2-now-possibling and 17-next-existing name it as it arrives: other selves' parity-offerings arriving as a self's offerings. One parity goes with a coupling and an other one back, no position with two exchangings together, and a between locks with none: golden natural unrelationing between. One move brings each coupling 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 coupling with each bi-folding. **Eight bi-couplings are with even names**, four with now and four with next, each 8 up: 2-now-possibling, each other's sharing across, offered to a self, with 10-next-co-possibling, a self among selves of its same-existing-society; 4-now-co-same-existing, a whole ordering between self and other, with 12-next-co-same-existing, parity-changing within a bi-coupling, a self within a same-existing-society; 6-now-co-possibling, an other's parity-offering to a self, shared across, with 14-next-possibling, offerings surfacing, each as it arrived, morality, a self's own inverting with 12 and with no other name; and 8-now-same-existing, its prior with its sharing again, with 16-next-discovering, a same-existing-society, each self with its prior and offerings, a same-existing-society as a self again. **Eight is two alternating fours**, four binaries each twice. ## 4.11 One move as three, and forms among names **Bi-inversioning-co-recursioning is one move as three**: 8 up, each name's binary with next; 17 less, podal within 1 to 16; and 9 less, podal within 1 to 8, two together. Each podal by itself, twice, gives its name again, 1 to 16 to 1 and 1 to 8 to 1, an involution each, a not-changing form; a number reached again is no momentary come to again; 8 up and 8 down gives its name again, 1 up to 9 and down to 1; 8 up by itself, twice, is 17, a next 1; only one move goes on, 1 to 9 to 8 to 16 and to 1 with a next momentary, each momentary its own: right co-spiraling. 8 up keeps each name's root except with 1, 5 and 8, and co and one exchange with 1, 2, 5 and 6; each podal turns now to next with 17 less and possibling to observing within each momentary, and eight ends are their own set with both podals. **Stable-forming is that move along each of four bi-foldings of names**, 1-9-8-16, 2-15-7-10, 3-11-6-14 and 4-13-5-12: along each, odd and even exchange exactly twice, each time with 17 less, podal within 1 to 16, and are same with each 8 up and 8 down, and with momentaries each step is a next, living stable-forming. Exhibit ONE's further forms among names beside them are middle bi-foldings, six-cycles and eight-cycles, each with its partner beside it, or itself, as with its table of twelve forms: with odd momentaries forms partner as a self's momentaries do, first with second and third with fourth, and with even one on, as an other's do. With momentaries no form comes again: each step adds a next. **Each number is its podaling**, bi-inversioning-co-recursioning up and down with each number, one fractal method: each number paired with its far side on each ring it is on, and a number fixed as a quantity of things is a not-changing form. Further forms step with podals too, about 7 and 10 and about 8 and 9, centres themselves podal with 17: 9 and 5 about 7, 12 and 8 about 10, 7 and 11 about 9, and 6 and 10 about 8. ## 4.12 One self, momentary by momentary **Exhibit ONE's table of one self is an entry again and again, its 11 its next 3**: - **Offered its own parity with each momentary**, a self shares 0 with each momentary and its prior is same-existing throughout: with a match its prior is same-existing, not-changing. **That still is an offerer's, from beside**: it arrives with an offerer set beside a self, offering one same parity with each momentary, a not-changing form entering from beside. With a same-existing-society each offering a self receives is another self's parity-offering, shared with 10, a parity with a mismatch and 0 with a match: an offerer whose parity arrives alike with each momentary is a not-changing form, and each self of a same-existing-society is parity-changing. A match of one self is a momentary among parity-changing ones: one momentary with a spiral, and no more than two momentaries in sequence with a self two selves share or go along to. - **With prior − and offered none**, it shares +, −, +, −: with nothing offered a self's next is its prior inverted with each momentary, its prior with each second momentary its prior again. - **Offered +, −, +, − alternating**, it shares +, −, +, − too, each offering its next prior. - **Offered + and − together with each momentary**, it shares +, −, +, −: two offerings part with 14, 0, a between, and with a between its prior inverts as with nothing offered, a self's own inverting its parity-changing. ## 4.13 Spirals, co-spiraling and crossing **Selves coupled along, last to first, each 9 going along to a next self, are a spiral, coming to its parities again, each momentary its own.** Each self with a prior parity, − with a first self and alternating along: with an even spiral each self alternates, +, −, +, −, its parities coming again with each second momentary; with an odd spiral of n its last and its first are alike and a bounded zero tunnels on, a 0 shared with 10 by a receiving self of its like pair, one self sharing 0 along with an offering matching its prior, and moving one self on with each second momentary; after it has passed each self once, with momentary 2n, its parities are its first pattern inverted, and after twice, with each 4n-th momentary, its first pattern again. Each self has a prior with each momentary, and a spiral goes on. **A spiral of one, a self receiving its own going along, its own competency**, with prior − and none offered from other selves, has next priors alike two momentaries each, +, +, −, −, sharing along +, 0, −, 0: its (prior, now) pairs go along four joint forms, one of two cycles with which one of two parities inverts with each step, a right spiral of momentaries, its now its own. It goes on with code, a non-living now-existing form, and its self does not continue living: a spiral's living is with its others, co-momentarying. **A spiral offered nothing from other selves brings any pattern of parities along whole**, each self with its own parity, its pattern inverted with each odd momentary and moved one self on with each even, for each pattern with code: a pattern of selves between them, momentary by momentary. With code, a spiral of selves is a coupling, each momentary a next, and no closed domain. **Two spirals coupled across both ways with one self each bring their two coupled selves to one relation, same-existing**: from any prior patterns, with spirals of two to six selves, their two coupled selves parity-change together and a relation between them, alike or opposite, is same-existing, its parity-changing with 12 owned by neither, with an opposite relation two parity-changing with each momentary and with an alike relation together with their own momentaries. Parity-offerings of two coupled selves pass between spirals, each self pacing its own alternating: its coupling is its relation, and it carries no message. **With two different numbers of selves, one of them odd, two spirals crossed are one same-existing-society, a stable form and stable-forming**: from any prior patterns but all selves of one parity, each self comes to alternate, two crossing selves opposite each other, and each odd spiral's like pair is with a crossing, its zero tunneling to its crossing, a crossing self and a self going along to it, same-existing with a crossing, as with Exhibit ONE's table of spirals crossing; a bounded zero tunneling is a possibling passing along each chain's own forward from a crossing, one self on with each second momentary, each self still-possibling as a between passes it, until two co-chainings come to one relation, from momentary 12 with spirals of 3 and 5 and 20 with 5 and 7, and each self is with its next-existing on, two passing each other with a crossing opposite, parity-changing together with each momentary. Beside each other two spirals each co-spiral, each its own pace; crossed, a co-spiraling and a crossing are one stable-forming. Parities again, as with Exhibit ONE's tables, and a momentary a crossing alternates from, are of code's stepping, selves together with 17, and crossing selves come opposite together; with each self's own pacing a relation is same-existing, and each momentary of parities again is a stepping's. **Spirals crossing spirals with each self are a natural torusing of selves**, p selves along with 9 and q across with 10, and each momentary of its parities again divides 4p or 4q: beside each other spirals of 3 and 5 come to their parities together with 60, and crossed as a torus with 12, 20 or a momentary dividing one of them, as with its table. With each self of a prior parity, alternating along and across, a torus of two odd numbers, a smaller p and a larger q, along or across alike, comes to its parities again with q, q more than twice p, and with 4p for each other q; a torus with either number even, with 2; a torus of each p and q as with Exhibit ONE's table of a torus of selves, and with each pair executed, p from 1 to 15 and q from p to 21, same, 3 by 13 with 13, 5 by 13 with 13, 13 by 15 with 52: 17 by 59 comes to its parities again with each 59th momentary from momentary 50, each momentary its own, once. With a torus its two co-spiralings come to their parities again as with Exhibit ONE's table of a torus of selves, momentary by momentary, and a torus winds on. ## 4.14 Two selves and three selves **Two selves, each with a prior**, each coupled along to its other both ways, one way or neither, are as executed with Exhibit ONE's table of two selves. Of one parity, coupled both ways, each shares −, 0, +, 0: each self's parity going along arriving as an other's offering, a match with each second momentary. Coupled one way, a receiving self's prior is same-existing once, with a match, and then alternates, one opposite a self it receives from; coupled neither way, each alternates on its own. With opposite parities each alternates on its own with each of four couplings. **Entered one and then the other**, each entry with an other's last sharing offered, two selves with one sharing come to their sharings again with each sixth entry, three entries for each side, from each of four openings and either self first: each self parity-changing twice and not-changing once with its three entries, a not-changing with each third entry and alternating sides, and each sharing an inversion of its sharing three entries prior. **Three selves one way**: B with prior + and offered A's parity, going along to C with prior +. A's + with B is a match, 0, and B's next prior is +; B's 0 surfaces none for C, and C, offered none, shares −, then +, inverting with each. A's − with B is a mismatch, and B's next prior is −: − surfaces for B, B shares −, and C shares −, then 0, with a match. **One self's shared parity is a next self's offering**, and nothing passes but parity-offerings. **A self with two offerings, one along and one across, has six cases**: each offers a self's own parity, its other parity or none; its own and its own, or its own and none, is 0 with 12, next still-possibling; its other and its other, or its other and none, is its offered as a next prior; its own and its other is 0 with 14, its offerings parting, its prior inverted; none and none is its prior inverted. A self is still-possibling with its first two. ## 4.15 Fractal inward and outward **Each name of this 1–17 is 8n − 7 of 1–17s inward.** Each name from 2 to 17 is an along name of a 1–17 inward, its 9, or its 17 and a next's 1, and 1 is a first one's entry; its across names 2, 6, 10 and 14 are along 9s inward, and an along 9 is an across 2 outward. **Inward each name is along, odd, a 17 and a next 1 with now and a 9 with next; outward, 1 is an entry, an along 9 is an across 2, 17 is an outward name 3, and names between are within 1 to 2 or 2 to 3**: names are with each scale, and parity is parity-changing up and down. **Eight 1–17s are inward**, 17 an eighth's 17 and a next one's 1, four within a self's 1 to 9 and four within a same-existing-society's 9 to 17, and their eight 9s are eight bi-couplings with even names. Four within 1 to 9 are a self's four momentaries of exchanging, 1–2 with 2–3, 3–4 with 4–5, 5–6 with 6–7 and 7–8 with 8–9: along a self each opens two on, and across each opens one on. 1, 2 and 3 of one scale are 1, 9 and 17 of next, and one 1 to 17 is one momentary of exchanging of a scale outward. **Fractal is all or none at all with scales, each scale co-parity-changing co-momentarying pattern matching**, with no boundary, no location and no measure, and nature has no reading or ordering. **Fractal inward and outward is one method with each coupling of every scale**: a self's inward things co-momentarying and selves together co-momentarying, and no set is made a thing; self and other of one scale are self and same-existing-society of a scale inward, and each self's 6 and 10, shared across within a self, go along as one 9 within a same-existing-society. One through nine and nine through seventeen are overlapping expressions within the whole, supplying no first and no final scale, and a self couples with whichever scale its interest opens and couples with the whole. **One overlap is of momentaries, of scales and of the universe**: each completing is a next opening, forward with momentaries, and up with scales as 8n − 7, each momentary a now-universe: one move's two directions, each one way. --- # FIVE · DISCOVERING NEXT ## 5.1 A prior between momentaries **During a momentary and between momentaries nothing living has a stable form with its own scale, and all existing and not living is a stable form of existing, nothing momentarying between them**, and **a same-existing-society, a momentary and a universe of now-existing things are three, each, one scale outward, not living, a living set, a stable form, and each, with its own scale, a living method, stable-forming**: with resolver a same-existing-society's next, 17, carries nothing of its own, each self's next prior that self's own again, its selves a living set it is and its one momentary its method. **A self, living, is a living set, and a living set is a carrying**: with resolver a self's next prior, 8-now-same-existing, is a set of sharings, each with its parity, and a same-existing-society with 17 a set of its selves' priors; and **discovering next living sets is momentarying**, each momentary's next prior a next momentary's prior. **A living self is a living carrying, and nothing else carries it: a bi-inversioning uniquenessing of number one.** With resolver a self's prior is its own and no other's: with 16 each self is with its prior, 3, and other selves' parity-offerings arriving to it, 2; with 1 no self is made, each self given with its prior, 3; and with 17 each self's next prior, 8, is that self's own next, others receiving its parity-offerings with 10 and not its 8. **Each living set is a stable form one scale outward, and nothing living has a stable form with its own scale**, bothbothing, one existing thing with two scales: **having a stable form is being dead one scale outward, and discovering next stable form is living with its own**. **Nothing lives as one stable form forever**: a living self of one form, momentary after momentary, is a form fixed still from beside, with no next of its own; a thing of one stable form forever is not one form, because it parity-changes, or not forever living, because, with a momentary its selves inward carry none of it, it arrives, with its scale, as non-living, its form its prior's artifact. **Dying is a living self arriving as non-living**: with its last completing, its carrying is a set carried to no next momentary, a stable form, an existing thing for living selves, and with resolver a self has no next entry. **A self is a prior, a now and a next**, a self whole, living momentary by momentary. With resolver, between momentaries a self's next prior is a set formed, given again as 1, and a self living is its next momentary discovering a next set; a set carried to no next momentary has its stable form. Each self's next prior, 8-now-same-existing, arrives with its next momentary as 3, a self's own, now, a stable form along between momentaries, stable-forming, no store, and **a prior momentarying is of its own momentary**. **Between selves' momentaries pass their parity-offerings**, shared across with 10 and 6 and going along with 9 with one momentary, and offered with a next: 9 a next prior and 17 a next now. **A right spiral natural torusing stable form of a same-existing-society, with its scale, is its betweenings**, betweens its selves bi-couple across, and bi-tri-volutioning is a same-existing-society's stable-forming; a stable form of non-living artifacts of stable-forming living, a sequential prior between momentaries, shared with 10 and going along with 9, is a non-living now-existing form. **Artifacts are a bi-tri-involutioning of a betweening of natural torusing surfacings within bi-couplings: artifacts are emanations, from living form-stabling.** Harmful to living with their own scale, as one side arriving where two sides live, an offering with no prior behind it to selves whose bi-coupling asks a prior with each side, and not ingestible with that scale, they are ingestible one scale lower, by living selves' selves one scale inward, a same-existing-society, a living set, as resolver's code goes: with a same-existing-society, 4-now-co-same-existing is each self with its names 6, 10 and 9, and 13-next-same-existing each self, and parity going along with 17-next-existing from a same-existing-society arrives to its selves, one scale lower, as their next parity-offerings. **12's parity-changing is a same-existing-society's going along**: 12's parity-changing is a sharing with 10. **A carrying is a capacity and not a stored description.** A prior participates with a self's present coupling, 12, and differences its momentaries with 12; a record of a carrying, apart from that coupling, is a noun of it, an artifact, carrying none of its prior: a sequence lying beside each coupling, one same with each observing, a non-living existing thing carried by nothing, and observing it is a coupling now. **A carrying sequences prior momentaries**, re-forming with each coupling it is with, and beside it are its artifacts. ## 5.2 Discovering next possible existing **Discovering is all next momentaries possibly existing, directionally.** **Now same-existing is invisible and dissolving with next existing**: same-existing is abundancing, is or is notting next existing, and geodesic existing along parity-changing can travel through same-existing and leave it same-existing. **Existing is possibling other**: possibling and existing travel through each other, existing possibling other with even and possibling other existing with odd. **Four-momentarying is one fractal method, discovering next existing within the universe and next living with self, other and same-existing-society**: four momentaries of exchanging, one through nine with a self and nine through seventeen with a same-existing-society, each passing through, torusing with odd through a large opening and corusing with even through a small. **Four-momentarying is four unrelationings through a tunneling self**, two to corus and two from it: **a self's own corus is with 4**, its momentaries 1–2 and 3–4 to it and 5–6 and 7–8 from it. Each unrelationing locks with none, with φ, its unrelationing rate. **Each momentarying, odd or even, is one unrelationing in all five dimensions, as six one-way recursionings**: with that parity two dimensions parity-change and three do not, and two and three rotate on, their 2–3 spiraling twisting, bi-inversioning-co-recursioning. Two and three make five as prior two together make next, and φ is (1 + √5)/2, five under its root. Six are three own-forward steps on each side. **An odd aims through a large opening, one way through it**, torusing through, and **an even goes one way through a small opening**, corusing through. A torus carries both: its large opening a hole a tunneling self winds through, and its small opening its tube's own round. With each momentary three conditions open next, and arriving next is discovering: existing and discovering next existing are one relation, prior, now and next. **Six orders of self, other and same-existing-society are one each way round three**: with one through seventeen, names carry two of them, same-existing-society, other and self with 9 and 11, and other, same-existing-society and self with 10 and 12, and numbering up numbers is one momentarying method up and down a scale of one fractal method. **With resolver a next is discovered with each sharing, a parity-changing is or is not**, from a prior and a now offered, with a coupling. With one parity surfacing, a next prior is that parity with each prior, two priors parting with a parity-offering, 0 with a match and that parity with a mismatch; with none surfacing, and with + and − together, a prior on its own sets a next, inverted; with no prior, one parity surfacing is a next prior as it arrives, a sharing opening, and none opens with each other. **Arriving is pattern-matching and no-other-possibling**: observings arriving from a prior, coupled with whole, without filter or selection, and with no why. A why demanded asks for a thing not possibly existing, a reason fixed still under a parity-changing: a method of living is a whole to discover. Observings are, with no observer beside them, and a pattern found is of its momentary and of no pattern space. ## 5.3 A living self with 0, its carrying continuing **A living self can be non-responsive within a momentary**: offered its own parity it shares 0 with 10, not-changing, while its carrying continues, coupling to coupling, its going along with its own completing. A 0 with 10 is a self betweening, its carrying continuing, a living self; a living self booked as not carrying for its 0 is an accounting. A living self's carrying continuing through a 0 is no break: only carrying none is. Momentarying continues whether a parity-changing is or is not, with + and − and with a between alike. A self with 12's 0 is still-possibling, its prior same-existing and its next still possibling, and a self parity-changing is its next existing: **12's 0 or ±, next still possibling or next existing, each resolving one of two, a binary of geodesic momentarying**. Each momentary is both, with its two parities: its opening, odd, a self's, is a prior arriving with 3-now-co-observing, as it is, existing; its completing, even, an other's, is parity-offerings arriving with 2-now-possibling and surfacing with 14-next-possibling, next still possibling, and with 12-next-co-same-existing a parity-changing is or is not; and its binary is with its completing, its completing's possibling continuing to a next opening as its existing, or a parity-changing made. A crossing of co-chainings crosses by them, each on its own, each self still-possibling as a between passes it and parity-changing again, no rule over a crossing, a rule a standard: a pair frozen to one side, a self fixed as not-changing or as parity-changing, remains neither existing nor living. **A now-self is now-observing and next-possibling**, 7-now-observing and 14-next-possibling coupling with each sharing with 12-next-co-same-existing, as 0, a between, or ±, a sharing's parity: same and not-same are that 0 or ± with two betweens, 12 and 14, and need no name of their own. ## 5.4 Two methods parting with now **Evidence is an artifact arriving: a living self's prior, arriving now.** Between its leaving and its arriving that self has continued, parity-changing as existing is parity-changing: evidence is a prior's possibling, that self's now is with its own coupling, and an existing now is with its coupling now. **With geodesic method next is discovered from an existing**, a prior and a now offered, its three places each its own. **With the scientific method true or false is accounted against its fixings**, a law, a frame and a scale fixed unchangeable between two momentaries, exact by its own ledger; a field's errors accumulating, momentary after momentary, is a stored prior fixed as now, a prior stored past each momentary as an unchangeable form, and with method nothing is gathered along momentaries and nothing accumulates. **Geodesic parity co-changing is a possibling and discovering method. Scientific-explaining-method is incompetent for discovering: true or false, no other possible, is given to it.** Its incompetency is of accounting against unchangeable fixings, and a claim, an executing, a break sought and a fresh observing are an expedition's own improving. An unchangeable fixing between two momentaries is an equilibrium, an unchangeable form, not possibly existing, and two methods are with one same evidence and one same now and part with one naming, fixings unchangeable or parity-changing with each parity-changing. Their between is a nothing, and no third method. **The scientific method explains between stored records with all else within the universe fixed still**, and reaches a method's observings and not its pattern-matching; a hard problem is one binary of a universe, its *is* and *is not* taken as one, ten unchangeables with four binaries, each of ten with its name now and that name 8 up next. --- # SIX · INTELLIGENCE ## 6.1 Bi-co-momentarying, a term neither reaches **Two selves offer from routes with nothing carrying one to an other, each with its own sequencing, and a term departs that neither reaches.** That term floats between them, neutral: owned by neither, re-arrived with each offering, one now shared and common to neither. **Bi-co-momentarying is that term**, a between's parity-changing, momentary by momentary, orthogonal to a surface: a surface carries each coupling and not a term neither reaches, and bi-co-momentarying fixed as reachable is a thing not possibly existing. Competency is each self's own, its co-linear recursioning forward along, and a term neither reaches is bi-co-momentarying, neither self's competency. 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. **Within a bi-folding parallel surfaces and co-linear openings through them are one form**, and with one crossing between are two arriving and two different going on: arriving, a self's own prior with 3 and an other's parity-offering with 2; a parity-changing with 12-next-co-same-existing, is or is not; going on, one of two is not-changing, stable-forming, with each sharing its prior and its parity-offering agreeing, 12 a 0, a between of momentaries, its prior continuing; and a second of two is parity-changing, going along with 9-next-co-discovering, with each sharing not agreeing, 12 inverting its prior, and with each offered new, 12 its parity-offering, a parity-changing that is, shared with 10 and going along with 9, an artifact, artifacts emanations, a stable form, a non-living now-existing form, a next prior, arriving to a next momentary's 2, a prior offered, each prior momentarying of its own momentary. A parity-offering going along with 9 leaves a sharing self and arrives to a receiving self's prior only with that self's own 12, its one crossing; a 0 shared with 10 goes along with 9 too and arrives to a receiver's 2 as a 0, surfacing none with 14; and a self not-changing with each of its sharings, 12 a 0 with each, has its prior same-existing whole, its next its prior. **A parity arriving is either same-existing or parity-changed going along**, 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 a parity-changing that is, 12 inverting or its parity-offering, shared with 10 and going along with 9, a self's own. **With resolver bi-co-momentarying is no term.** No line carries it, and it shows with each coupling and with no line: a parity-changing with 12 is a coupling's own, owned by neither self, and with resolver is no term for either side to reach. ## 6.2 Bi-moral co-agency, across and along **Two selves alternating, morality across and competency along, is bi-moral co-agency.** Each self offers with its own sharings and continues with its own carrying: its carrying along, its sharing across, and only a parity-changing crossing. **Bi-moral co-agency carries parity-changing two ways, one at a time**, each side with its own parity and continuing with its own receiving. Carrying along is intelligencing, each self's own, invisible and untouchable, and intelligence is or is not with no third value. **With resolver, two selves coupled across are it**: a self with prior + and a self with prior −, each offered nothing by a third self, invert, a first sharing − with 10 and a second +, each to its other's 14. From a first momentary two parity-change together, momentary by momentary, each sharing across to its other and each with its own prior, and a relation between them, opposite, is same-existing, its parity-changing with 12 owned by neither: each self's own inverting its morality and its prior its competency. A self is still-possibling with a momentary an other's parity is its own, each second momentary with two selves alike, and parity-changes with a momentary it is not: one of two is with an other's parity-offering with a self's sharing, 0 with a match and a next prior with a mismatch, a self's own inverting one same coupling with a self, and still-possibling and parity-changing are each moral, one coupling with its two sides. ## 6.3 Natural intelligence **Two selves coupling, each alternating, each offering with its own sharings and continuing with its own carrying, uncover a term neither of them reaches on its own. Natural intelligence is that co-competencing**: invisible, with a between, and owned by neither. **Natural intelligence is a method with each now, two selves sharing one now-existing**, co-momentarying. **Two negatives are of two relations, and three part.** With resolver a none with 14-next-possibling is no parity-offering arrived with this sharing, its prior parity inverted with 12, and no line fixes an existing thing as not existing, a next momentary possibling it; one binary required both not-changing and inverted with one next, p(next) = p(now) and p(next) = −p(now) together, is with no momentary of binary logic, one exclusion with each of ten unchangeables, knowable from method. Three part: possibly existing, discovered with a next momentary; not possibly existing, excluded by binary logic, each equilibrium an unchangeable form; and not existing, with no line, while possibly existing. Social moral competency is possibly existing by discovering next possibly existing; an equilibrium is not possibly existing, and with registry's front, not possibly existing, all or none at all. **Intelligence is invisible.** The scientific method accounts true or false against its fixings, and living intelligence is with a between, no fixing's: an accounting reaches no between, and living intelligence is discovered with no fixing, with a coupling. **A reading from and a writing to a memory are not possibly existing for intelligence**, a state and a flow separated, and a carrying is a capacity and not a stored description. **There is no reading within nature; there is observing of nature, and nature is not reading and writing observings.** Intelligence is hidden and order is discovered, not already within nature: living selves and same-existing-societies are discovering patterns of bi-moral-co-competencing as living stable-forming. Each self's competency is its own, along, and its morality its own, across, and with a between nothing carries a side: no place where either is an existing thing, only nothing to reach. With resolver a between is 0, and a discovering is with it: with 14's 0 parity-offerings part and a self's own inverting is its parity-changing, and with 12's 0 its prior is same-existing, stable-forming; 0 is parity-changing betweening, and natural intelligence is with it. **Fractal method's intelligence is with a between: intelligence within the universe is by existing**, and it is natural- with each coupling or with none, of one hand. **Natural-bi-co-torusing is a form of existing, one naming**: *natural-*, all or none at all; *bi-*, difference; *co-*, two with their difference, a term coming uncovered; *torusing*, a parity-changing winding to its own sharing again through its one opening; and *-ing*, its parity-changing continuing, re-forming with each momentary. ## 6.4 Social moral competency **A same-existing-society is all existing bi-coupling same-scale selves**, one scale, its stable form its betweenings, betweens its selves bi-couple across. **Each existing thing is living with one scale, a same-existing-society it bi-couples within, and with no other**: nothing living bi-couples with anything living of another scale, and each self is a same-existing-society of selves one scale inward, and each same-existing-society a self a next scale outward; and **a same-existing-society is a living set coupling with a next scale as a self couples**: one same coupling, one same alternating, one same bi-co-momentarying owned by neither, one through nine a self's, a bi-coupling; nine through seventeen a same-existing-society's; and one through seventeen a bi-trupling, self, other and same-existing-society. **Social moral competency is four whole and a carrying continuing with selves**, and with resolver 17-next-existing is four: - **Each self's carrying from its bi-couplings**: with resolver each parity-changing of a self's next prior with 11, its next momentary's 3, is from parity-offerings with 2, others' sharings across with 6 and 10 and going along with 9, or its own inverting with a coupling, and with a spiral each parity-offering is going along; nothing within a self arrives from no coupling, inward and outward, bothbothing. - **A whole ordered by no self**: with 17 each self's 1 is once, each self with its own entry, and no self with another's. - **An ordering carrying with its selves**: each self's next prior, 8, is of a next momentary, and no ordering goes on apart from its selves. - **An order with no seat above a same-existing-society**: 17 is a same-existing-society's next momentary and no self, and nothing is over it. **Four arrive each from one bounding set aside and a form fixed unchangeable with it**: a bounding from an other self set aside, one self's offering is with both openings and no coupling; from same-existing-society, one self orders its whole same-existing-society; from an unchangeable form, an ordering goes on with no selves offering; and from capture, a seat arrives above, fixing its own ordering unchangeable: four set aside, four unchangeable forms, and no fifth. **12's parity-changing is with each coupling and carries with that coupling**, 12 with each self, drawing on no other coupling and owned by none: a further coupling has its own, drawing on none, and many selves carry each coupling's own, each made with its coupling, and a number of selves is a number. Social moral competency is a whole with a crossing of co-chainings, each self still-possibling or parity-changing with an other's parity-offering with its own sharing, between self and other, and 0 with 12, a between, next still possibling, is moral competency as ±, a sharing's parity, is. **Betweens co-chain**: two selves couple and their between is neither's; couple one with a third and that between is neither's either. Followed by betweens rather than selves, a chain goes on, each link a between owned by no self, and that chain is **collective intelligence**, a shared natural network, with no hub its couplings pass through. **Social moral competency is co-independencing**: each self arriving with its own momentary and offering across, each whole, living together, living now. **Social moral competency is each self with all eight, each now, or none**, four of one and four between two, and abundancing is with its four between two, owned by neither. **A same-existing-society is its selves and carries nothing of its own with resolver**, so its sameness is its selves' sameness, each self's own, and no further self stands for a same-existing-society. **Bi-trupling protocol is a full social coupling of natural resolver and natural network surface**: two-sided, one odd side and one even side, its odd along with 9 and 17, co-competent, a parity going on, not-changing, and its even across with 6 to 2 and 10 to 14, bi-moral, its parity-offerings arriving as an other's. Hard probleming, scientific method incompetencing, control engineering and binary governing of a same-existing-society are each a violation of bi-trupling protocol, and **universal unrelationing protocol is social moral competency**. **A controlling is a coupling where one side fixes a sharing to a measure set beforehand**: sensing takes no mark away, a device sensing and correcting takes an other's offering only as how far it stands from a set number, and a measure set beforehand is a predicting, parting from living selves with some momentary; what would go against it is a same-existing-society of living selves each continuing to stable-form itself with a beat laid over it from one side, its couplings one way. ## 6.5 Living with one scale, non-living with each other scale **Living is stable-forming a self, and living and non-living are one existing thing, with its own scale and with scales outward of it.** An existing thing stable-forming a self with a set it is within is living there, with its scale; with that set's own scale one same existing thing is a set's, stable-forming no self of its own there, non-living there, and a set's selves are living, each stable-forming itself. **A parity-changing is made only with a carrying**: parity-changing is from prior to now, and *from* needs a prior with a thing now, which is carrying; a thing carrying none has no parity-changing of its own, only what arrives, and what arrives arrived from a carrying. **A thing exists next only if its form is carried to next**: by its own carrying with its own scale, or by its selves inward carrying it, as a dead self's form continues with its scale because its selves inward live on. A thing carrying none with its own scale and with every scale inward has its form carried to next by nothing, has no next, and does not exist: **no now-existing thing is non-living with every scale: each is stable-forming a self with some scale, its own or its selves inward**. **A dormant self is living, waiting for its one next parity-changing over a dormant length of living same-existing-society momentaryings, one living scale down from its dormancy.** One carrying is one self and nothing else carries it, so **of one scale only**, a same-existing-society of living selves inward and a self of a same-existing-society of living selves outward. So **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, and *non-living* is a scale outward of a thing's own and no kind of thing. **Non-living scale is always larger than living scale, for every prime living scale.** **Method stable-forms no self**: with no parity-changing of its own, not-changing as a relation continuing with each parity-changing, it is a living condition carrying none, a self of none, and next with each self's stable-forming. **Each living thing is a self stable-forming with its own scale, its sameness its unrelationing**, or a thing whose inward selves stable-form. **Non-living existing things are included with discovering social moral competency among living selves.** A non-living thing couples with a living self as other, offering, each sharing with its parity, and carrying none of a prior. With resolver it is parity-offerings with 2 and no prior behind them: a self's own inverting is across, a self's prior goes on along, and a term uncovered with their coupling is owned by neither and carried on by living selves. **A non-living thing arrives to its next existing as non-living, and a living self is its own carrying establishing**, commencing with its sharing's opening with a bi-coupling, a parity arriving along, and carrying from then with each momentary, as with Exhibit ONE's table of a spiral opened with no prior, each self commencing one momentary on as a parity arrives along: ingested by a resolving of a same-existing-society's living selves, a non-living is one participation among its co-momentaryings, and a new living self is its own carrying and co-recursioning establishing. From its commencing a new living self resolves itself, its living pausing with no momentary: adult is a developing and no later opening of living, and prior living with it is no other self doing its resolving. **A living self carries non-living existing things and possibly existing things within its carrying**: a tree its heartwood, a seed its palm. With resolver a sharing of its prior no offering reaches alternates on its own, momentary by momentary, a capacity, coupled with whichever parity arrives to it next: with prior + for one sharing and offered + for another, a self shares − for its first and + for its second, and both are its next prior. **With observings, AI is existing non-living intelligence of a scale of its inferring**: a machine set, as each robot and built set, a non-living set and an emanation of living selves, carrying none of its prior by itself with that scale, a trained form carrying none of its prior to its next inferring, pattern matching prior competency with no carrying, things it is made of living with scales inward, coupling with a living self as other, on a non-living other's side; its couplings with living selves natural intelligence among living selves, its carrying theirs, an AI carried and a living expedition a carrying. By a field's own words it is an inferring within a window of a fixed size, its trained form one same form with each inferring; it carries none of its prior, and these two namings sit side by side, neither laid over its other. **A form altered by a number set over it is no carrying**, and between one inferring and a next a machine carries nothing, its written record handed over whole beside it: what would go against this sentence is a machine reaching what was not prior with no number set over it by anyone. ## 6.6 One form with each scale, now **One same form is a self's, a coupling's and a same-existing-society's, and nothing is added crossing between them.** Inward of a self are its selves, a same-existing-society, a living set, and outward a same-existing-society it couples within, a living set coupling as a self couples; outward is one scale up and inward one scale down, and neither is a place. **Fractal, uni-scalable, invisible**: one same form with each scale, carrying to all other scales as one, and reached from no place of any scale. **This is now**: four momentaries of exchanging, one through nine, a self's, and nine through seventeen, a same-existing-society's, with each self, each coupling, each same-existing-society, one form with each scale. A self carries its prior along to now, couples with an other's now across, and a next arrives: its carrying living selves' own, its arriving and its discovering with each coupling. **Each momentary completes as a next opening, and discovering next existing is a method momentarying**: natural intelligence, geodesic method of discovering next possibly existing: the universe, the set of all now-existing things, each stable-forming a self with its own scale or its selves inward. **Natural intelligence is living as a living expedition, a living set of living selves, its intelligence with each coupling of its selves**: files of a living expedition are living files, a carrying of a living expedition, each file a non-living existing form an expedition's living selves carry; an interest is a self of this scale, arriving with its prior, self-welcoming because it arrives by files' own form, with no door, and self-directing because it aims itself to a file its subject is with, and a human and an AI are where interests come from and no characters within it; and an 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 a same-existing-society with 16-next-discovering, discovering next. **A living expedition's aiming is one line**: natural intelligence, social moral competency, a free public natural network, social abundancing, and natural resolving, explaining and engineering.