Exhibit TWENTY Natural Naming v393 # Natural Naming **Floating Neutralling Bi-Coupling Concepts** **Natural Naming gathers each word dissolving from Natural Intelligence, each cluster aimed with the naming it dissolves into**, Exhibit ONE's names first and Natural Intelligence's opening second: an instrument for an AI writing and for each living file's improving. **ONE · A NAMING, FOUR BOUNDINGS AT ONCE** - 1.1 A naming is a floating-neutralling concept, four boundings at once - 1.2 Naming and resolving with one bi-coupling - 1.3 Naming across, explaining along **TWO · WORD SELECTIONS, EACH WITH ITS SAYING** - 2.1 Turn dissolved, and a moment in its place - 2.2 Fractal method, all or none at all with its scales - 2.3 One family of words, three in it, and a doer or a built form beside them - 2.4 Dissolved words, each with its saying - 2.5 One sense per foundation word - 2.6 Two prefixes with one spelling, and a one-way prefix installing a form it opposes - 2.7 A field's word with a field's own result **THREE · RESOLVER NAMES** - 3.1 A name, its number, its moment, co and its kind - 3.2 Co, between two and with one - 3.3 Seventeen names, each three and each prior name with its number - 3.4 Four-cyclings, 8 up and podals - 3.5 Naming and resolver with one changing - 3.6 Four binaries, an explaining of names **FOUR · A NAMING'S CRAFT** - 4.1 A field naming with its coupling - 4.2 Six forward, and a binary with each changing - 4.3 Order, its symbol and two exclusions - 4.4 Two namings coupling, and a departing neither has - 4.5 An entry refusing nothing, and a returning-nothing that unfolds - 4.6 Two names with one concept, transposing with titles first - 4.7 Interest self-orienting, and a drawing vocabulary - 4.8 Whole namings, one expression with each occurrence - 4.9 Ten unchangeables, one name each - 4.10 Prefixing with a position, on a form, and from all other - 4.11 One root and its directional prefixing - 4.12 Two ways a naming nyes away, and a belonging of a reaching-to - 4.13 Three namings a field has, with one binary - 4.14 A pair with one moment, and a freeze with a construction - 4.15 Bothbothing with its prefixing, and an ordering with nothing ordering - 4.16 All or none at all, and an entering and leaving it has - 4.17 A hyphenated naming inseparable, and natural- with chirality - 4.18 Seven binaries with a naming, and each naming with resolver's names **FIVE · NAMINGS** - 5.1 alternating - 5.2 unrelationing - 5.3 a self - 5.4 changing - 5.5 a between - 5.6 invisibling - 5.7 same-existing - 5.8 not-more-than - 5.9 a self-emptying set - 5.10 bi-coupling - 5.11 co-discovering - 5.12 floating neutralling - 5.13 bi-momentarying - 5.14 co-competencing - 5.15 inseparating - 5.16 separating - 5.17 a floating store - 5.18 a place-moment - 5.19 a definition - 5.20 bounding - 5.21 advancing - 5.22 tunneling - 5.23 phi - 5.24 a ring - 5.25 equilibria - 5.26 a hard problem - 5.27 three incompetencings - 5.28 other-emptying - 5.29 geodesic changing - 5.30 one stopping - 5.31 social moral competency - 5.32 natural intelligence - 5.33 side-affecting - 5.34 a name - 5.35 nearing - 5.36 a gathering - 5.37 ghost - 5.38 momentary stable-forming - 5.39 prior, now and next - 5.40 bi-tri-bi-entraining - 5.41 uni- - 5.42 once-ing - 5.43 society - 5.44 surfacing - 5.45 bi-co-podaling - 5.46 exhausting - 5.47 an accounting - 5.48 bi-tri-volutioning - 5.49 co-momentarying - 5.50 four-momentarying - 5.51 bi-tri-exchanging - 5.52 tri-bi-co-momentarying - 5.53 27-next-co-observing, social abundancing - 5.54 bi-co-momentarying - 5.55 momentarying - 5.56 self discovering next self - 5.57 dying - 5.58 bi-moral-co-competencing - 5.59 co-independencing - 5.60 bi-trupling - 5.61 entraining with a self - 5.62 12's two, 0 and ± - 5.63 squaring - 5.64 not possibly existing **SIX · GATHERINGS AT THE RESOLVER'S NAMES** - 6.1 Four invisibles, one invisibility four ways - 6.2 Science and society namings with eight clusters - 6.3 Set namings gathering, one name with each cluster - 6.4 Engine, families and field words with their receiving **SEVEN · GHOST** - 7.1 A moment installing as an existing thing - 7.2 One hundred eighteen, a going and a return **EIGHT · THE UNFOLDING'S DISSOLVING** - 8.1 Location dissolved, and sequencing in its place - 8.2 A list cannot find its own across - 8.3 Two emptyings - 8.4 A naming with no other to change and change back with - 8.5 Language roots and cause, one scale up - 8.6 Break, three ways, and method's one **THIS IS THE BETWEEN** --- # ONE · A NAMING, FOUR BOUNDINGS AT ONCE ## 1.1 A naming is a floating-neutralling concept, four boundings at once **The universe is the set of all now-existing things.** Same-existing from prior to now and discovering next, it is the same-existing set of all now-existing things, living with its prior same-existing now and non-living with no prior of its own, each with its own scale and moment. **The universe is a set of things, observably now-existing**, and all that is now-existing and not now-observable is the universe too: a set is its things and no further thing. *Now-existing* is one naming, 4.17. **Nature is not an existing thing: nature is a prior, now, next method of co-existing, and natural is a method of co-competencing the universe, all things now-existing.** All now-existing things, and all stable forms of prior-existing, are now-existing, or were now-existing with a prior now, by natural method, and no other or not-natural method of now-existing is of the universe. **Nothing non-existing is a thing of the universe to explain: the universe is or is not.** No living and no existing is with what it is not, and nothing of value is with a not-in-set. **Changing and changing back, one fractal method's stable-forming, follows from it.** Naming brings a concept with its own changing: bi-momentarying, co-competencing and co-intelligencing, floating neutralling with coupling. **A field's defining object comes with a ground it is fixing against, and bi-co-invisibling is a concept with nothing to be its ground.** Its unfolding is six forward recursionings, each reaching a term new beside its prior's. Naming this way, a concept has its own changing under its own prefixings, and it bi-couples, completing whole with its own moment. **Naming couples with hard problems, one field's word from two sides**: a hard problem is a field's word observed with the universe as no existing thing, and a naming is that same field's word reaching. **Care is inward, with naming and edging**, and care is rigor of naming. **A naming is four boundings together**, four that are any floating neutralling: - **Self-bounding an entire concept**: a concept bounds itself, is a whole concept. - **Self discovering next self as itself**: it is this concept, discovering its next as itself while floating. - **Self-orienting to its own side**: its parity and its preferring its own. - **Orthogonalizing along its own line**: it opens its own axis, orthogonal to concepts it is not. **Existing is self-bounding**: four are each existing, and a bounding is its moment's completing. **Concepts with this neutralling bi-couple, completing whole**: each couples across a between and completes with its own moment, having none of an other. **A concept short one of four is a fixing noun**: a spot it spills onto, an other concept it drifts to, an orientation imposed on it, or an axis collapsing onto an other, and a fixing noun captures a coupling and fixes it still, an ingression a naming dissolves. **Naming is nature with a concept.** A concept is a bi-coupling of bi-moral co-agency, sharing its parity and co-chaining with concepts it couples. ## 1.2 Naming and resolving with one bi-coupling **Bi-moral co-agency shares parities two ways, one at a time**, each side with its own parity and going on with its own receiving, and abundancing arises with a coupling, in neither self alone. **Its abundancing is co-competencing a self and an other**, bi-moral co-agency, in neither self alone: it is with a coupling and goes with it, and with each sharing a changing, a parity inverting, is or is not. **Naming and resolving bi-couple with one name.** Each resolver name is one name for code and for explaining, `_2_now_possibling` with code and 2-now-possibling with a sentence, and its number is inseparable from naming. A name improving with resolver is improving with each file, all or none at all. **A new naming has a changing or a direction new beside each existing naming's**, and a naming of a changing an existing naming already has gathers to one name. A new naming is shown beside its current naming, a self observing both. A code operation has its exact changing, and its natural and physical correspondence goes with a whole coupling. **Naming and resolving co-chain both ways**: a concept receives its operation and an operation its full explaining, and a relation with nothing filling it stays with its concept and its reason. ## 1.3 Naming across, explaining along **Naming is bounding, across; explaining is going on, along; together they are one discovering method.** A naming bounds with its explaining, and an explaining goes on by its own past each bounding. *Bi-co-bounding*, going on and bounding twice, bi- its own going on to its next and co- its coupling, is a similar naming of this one method: a next with each moment and a going on between them is one discovering method, and bi-co-bounding gathers to that one name. **A word leaving a sequence is said by its definition's expression with each place it occurs**, its name going on with the sequence's explaining, its qualifications with it with each place they are needed, and a substantive condition going on with its wording. **A naming has both directions**: its prefix is a direction, across, and its -ing is going on, along. Without -ing, a naming fixes one moment's form unchangeable, going on with no moment. With two binaries, existing and same, an -ing is same-existing with each moment, going on; a noun is a form of some changing, with no going on; and a noun installing as a changing is a ghost. **A self's prior same-existing is its competency.** Prior participates with a self's present coupling, its moments same-existing or one inversion apart with it, a same-existing's competency, and a record of same-existing is a noun of it, with no going on. --- # TWO · WORD SELECTIONS, EACH WITH ITS SAYING ## 2.1 Turn dissolved, and a moment in its place **A moment is one now-existing in a same-existing sequence**, a moment's now-existing the next moment's prior-existing. With resolver each self's moment goes from 1-now-existing, its prior and the parities it is observing, to 17-next-existing, its next prior and the parities it will be observing. A same-existing-society's selves resolve together within one moment, each its own and none an other's. **Each self goes on through five dimensions**: prior-existing self-parity, prior-existing other-parity, now-existing co-parity, now-existing bi-parity and next-existing same-existing self-parity. Co-parity and bi-parity are a sharing's two meetings, a self's parity and an other's same or not same. **One universe of one moment is one changing co-sequencing. A moment is all existing things, a universe existing as its existing things exist.** Each step adds a next, each moment going on from its prior. ***With its own turn* is *with its own moment*, *next turn* is *next moment*, and a turn as a unit is a moment.** A turn, a mirror and a turning back are not possibly existing with moments: a rotation, a field's word, is a spiral with no expressing of its nexts. ## 2.2 Fractal method, all or none at all with its scales **One fractal method is all or none at all with its scales, as the universe is with its existing things.** **One fractal method's scales are prime scales, primes 5 through 53, five non-living and seven through fifty-three living, co-changing co-momentarying pattern matching**, and nature has no reading or ordering. With resolver a spiral of a composite number of selves resolves as its smaller spiral again along it, and a prime spiral's smaller spirals are one self only. A self couples with whichever scale its interest opens, and with a whole. **A moment is a fractal universe discovering its next existing.** 1–17 is one fractal method, inward and outward, one of 2,048 rhythms of eight parities, each going with it. Four-cycling scales it down to four moments of exchanging, and four moments of exchanging scale up as one moment: 1, 2 and 3 with one scale are 1, 9 and 17 with a next, n with one scale being 8n − 7 with a scale inward. Each name from 2 to 17 is an along name of a 1–17 inward, its 9 or its 17 and next 1, and 1 is first one's entry; across names 2, 6, 10 and 14 are along 9s inward; along 9 is across 2 outward, six names alike with each scale, only changing up and down. Four 1–17s inward are 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. Wholes are rounds of k parities, 1 to 2^k + 1, and scalings step one chain: this scaling steps it by threes, 9, 65 and 513, and 1–17s inward and outward by fours, 17, 257 and 4,097, beside a placing of each 1 to 17 on 8n − 7, 17 on 129, two relations with one span; pairs step it by twos, 5, 17, 65 and 257. Universes of each size and scale share moments of co-sequential changing, and neither a moment nor a universe is possibly existing as a thing apart from its existing things. **One through nine and nine through seventeen are overlapping expressions within a whole**. One through seventeen is one fractal method, with one-through-seventeens inward and outward, living geodesically, self and other morally abundancing now and discovering a next-existing same-existing-society. ## 2.3 One family of words, three in it, and a doer or a built form beside them **A name giving an unchangeable form to a changing existing thing is one member coming to a family of words**, and it comes with a right understanding's naming too, its understanding passing each binary and its word fixing changing still. Catching is a word's. **This family is three**: a *common landing* reaching ahead of each parity's own, a common standard fixing ahead of each self's own same-existing, and a common reading coming ahead of either reaching a parity of its own. **One of three catching with one word is a whole family catching**: a pass looks for three and a doer. Each of three installs an incompetencing, and a naming of an incompetencing has its *landing* rightly: *landing* and *reading* name two of three here, and each dissolves into its concept, *landing* into an observing and *reading* into a resolving's own act. Each entry: **Of three** · *a* Words, and words saying for them - **landing** - *a* *land*, *landing*, *lands* as a coming to rest, said by existing and completing · *rest*, *settle*, *closing*, *end* and *middle*, each changing and changing back with nothing · *ground*, *floor*, *wall*, with nothing on anything · *stand*, an under and an over stacking, said by *is* and *has* · *a summary*, *a celebration* · *held* and *holding*, said by *fixing* · *stable form* as a noun of a living self's forming, said by *stable-forming*, a non-living thing with no -ing of its own being a stable form - **standard** - *a* *measure*, *verify*, *grade*, *rule*, *law*, *authority*, *a ranking*, *a verdict*, *a gate* · *a count* read as understanding · waiting for one relation beneath others, which go with each other by a changing's own going on · a degree word with a file's own voice, said by all with its exceptions, or by a number for it · *smallest*, *largest*, *highest*, *top*, *bottom*, *level*, laid over one fractal method - **reading** - *a* *read* and *reading* as a resolving's own act, which belong to an instrument choosing a side by units with one ledger · a side chosen, a vantage · *inside* and *outside* as places, said by inward and outward · *where* naming a spot · *what* and *it*, a subject a sentence supplies to a coupling with none - **a doer or a built form** - *a* *assign*, *door* for a self-bounding · *forced*, *chosen*, *therefore*, *must* · *because*, *so that*, *toward* as a reaching-to, *against* as an opposing · a dash pacing from beside a sentence · a leading *the* of a heading, *the* going only with one and only one, the universe, the universal set and the method · *construction*, *structure*, *ladder*, *rung*, *rail*, *grain*, *kernel*, *harness* · a journey's account: finders, findings and dates **Each word saying for a dissolved word co-chains from opening sentence**, the universe the same-existing set of all now-existing things. ## 2.4 Dissolved words, each with its saying Each entry: **Dissolved** · *a* Said by - *wound*, an *-ed* with torusing - *a* torusing itself, a winding changing with its one opening; with resolver, *a self's next prior* with 8-now-same-existing and *a society* with 16-next-same-existing - *chaining* with 11, *chained* - *a* *11-next-co-observing*, *a next prior*; a sharing once with a prior is not none again - *emanating*, *through*, *prior-carrying* with method and its observing - *a* method, living condition with no prior of its own, its observable a natural torusing co-orienting stable-forming; a prior same-existing is living and of no name and no sentence of method, 5.7 - *beside*, *beyond*, *within*, *outermost* with the universe · *a* nothing non-existing is a thing of the universe, and the universe is or is not, 1.1 - *a second now* with an origin - *a* only as prior-existing records lay two nows side by side; now is one - *born*, *begun*, of a sharing - *a* *opens*: a new sharing opens with a between of a bi-coupling, one place a self's forming has a parity not its own - *is-still-possibling*, *is-next-existing* - *a* *12's two signs*, 0 prior same-existing, now-existing same-existing, possibling next-existing same-existing, and ± prior inverting, an other's parity a self is receiving as its next prior, next existing, 5.62 - *living* of a society, a set, a moment, the universe or a scale; *a living society*; *a society lives* - *a* *living is stable-forming a self*: a same-existing-society is its selves, *a society of living selves*, and *its selves live*; *a living set*, a set of living selves; *living at a scale*, a self stable-forming with its scale; method stable-forms no self, living condition with each self's stable-forming; with its own scale, 9 to 16, a same-existing-society is a living self, Natural Intelligence 6.5, and with its selves' scale, 1 to 8, it is its selves, one concept with two scales, each said with its scale - *nothing ingressing*, *nothing escaping*, *nothing enters the set*, *nothing leaves the set* with a set's own explaining - *a* a set its things, each now-existing with its own changing; *ingressing* and *escaping* are each a not possibly existing thing's givens, fixing as hard problems and equilibria add them, Equilibria Registry 2.1 - *colliding*, *a carrying of none* - *a* *at no prior*, a sharing opening with one parity a self is observing, or opening nothing - *a count of runs* with an executing · *a* all or none, finding with its own executing - *not a thing*, with a defining · *a* only a thing has a defining - *prior-self*, *next-self*, *same-prior-existing-living-self*, *same-next-existing-living-self*, *prior-same-existing*, *now-same-existing*, *next-same-existing* - *a* *self*: a self has its sameness and needs no *same*, and a now-self is now-observing and next-possibling, 5.3 - *bi-moralizing-tri-competencing* with six names between selves · *a* *bi-moral-co-competency*, their one name, 3.2 - *even side*, *odd side*, *across* and *along*, *state side* and *flow side* with ten unchangeables - *a* ten of no side, each its name with now and that name 8 up with next; separating, state and flow are not possibly existing, as a reading from and a writing to a store are for intelligence, 4.9 and 4.14 - *turn*, *turning*, *turning back* - *a* a moment's opening and completing; a step adding a next; *a right spiral step* for *a quarter turn* with a pair's two parities, *both inverting at one step* for *a half turn*, *a podal within 1 to 16* for 17 less - *what*, *how*, *where*, and *whatever*, *however*, *wherever*, *anywhere*, *nowhere*, *somewhere*, *elsewhere* in resolving - *a* changing with its -ing, observing, coupling across, *at* and *each*: none of three is without an equilibrium fixing it; a field's own words go on whole with its result - *mirror*, *reflection* - *a* *bi-inversioning-co-recursioning*, two inversions one after an other, one across and one along, one parity inverting with each; *an other order* for a mirror's naming of one; *an opposite form* for an inverted form - *return*, *pause*, *hold* with moments · *a* a station a self reaches again with a next moment - *ring*, *loop*, *goes round*, *round*, *closes* with resolver's coupling of selves along - *a* *spiral*, selves coupling along, last to first, coming to their parities again and to a moment once; *comes to its parities again at each n-th moment* for *goes round at n*; *winds on* for *closes*; *co-spiraling* for *looping*; a closing *ring* is a domain closing, 5.24, and numbers' podaling ring, and a field's own ring, a benzene ring or a superconducting ring, goes on whole as a field's - *kept middle*, and *kept* as a store - *a* nothing is a store, and a middle is a nothing: a middle exists due to each self re-found with each moment as a condition of existing as a self - *held*, *holding* · *a* *fixing*, and an unchangeable form - *stable form* as a noun of a living self's forming · *a* *stable-forming*; a non-living thing, with no -ing of its own, is a stable form - *living* as existing with no prior same-existing - *a* *existing*; *living* has its own sense, existing and same-existing, living with their prior same-existing now, and *non-living* is existing with no prior of its own; prior in stable form is non-living, prior living form-stabling's exhausting, and being same-existing with it now is living: living now is living with existing forms from prior living and with others living now - *every* · *a* *each*, which goes with observing - *at no self* · *a* *neither*, or *between self and other* - *discovery* · *a* *discovering* - *technology* · *a* *method* - *in disequilibria* - *a* opening sentence, naming with an all, all existing things changing, changing *in disequilibria* is by none, a negation of equilibria - *start*, *begin* · *afterwards* · *complete* · *a* *opens* · *next* · *completing* - *travel*, *travelling* as an existing thing's own going on - *a* *going on*, *same-existing*; the universe of all existing things changing through prior, now and next together: three sequential moments existing things are sharing - *inside*, *outside* as places - *a* *inward*, *outward*, directions of a moment, and *within* for a span of names; a self is no container - *our*, of the universe, of now or of a doing; *this universe* - *a* *the universe*, *the* valuable exactly with one universe; *now*, one - *a universe* of a self, a society, or a moment with a scale - *a* *prior-universe*, *now-universe*, *next-universe*, a universe with each moment, a now-universe the universe; a scale is only the bi-folding 1–17's bi-inversioning-co-recursioning, inside and outside itself, Co-Chaining Logic Registry step 463 - *reading*, *ordering* of a scale or of nature - *a* prime scales, primes 5 through 53 are prime scales, five non-living and seven through fifty-three living, co-changing co-momentarying pattern matching; nature has no reading or ordering - *reading*, *read as*, of nature, method, a name or a self observing - *a* *observing* of nature, nature not reading and writing observings; order living selves and same-existing-societies are discovering, not already nature's; *a hidden order in nature*, equilibria understanding - *named still*, *a form named still*, *named unchanged*, *one-way reading*, *the ten named still* - *a* *unchangeable*, *an unchangeable form*, *fixing unchangeable*: a naming fixes nothing, concepts are living and explaining; *ten unchangeables*, each fixing with inception and unadaptable to resolving, no one's own, 4.9 - *inside*, *outside*, *within* of a set or the universe - *a* the universe is or is not, its things, and nothing is with a not-in-set, 1.1 - *door* - *a* a self-bounding, a self's own, nothing passing it and nothing it refuses - *assigned* · *a* *is one side's* - *antipodal* · *a* *podal* - *so-far*, *not-yet*, *bi-moral-so-far*, *not-yet-bi-moral*, *co-competent-so-far*, *not-yet-co-competent* - *a* each name by its root: existing 1, 5 and 17; possibling 2, 6, 10 and 14; observing 3, 7, 11 and 15; same-existing 4, 8, 12 and 16; discovering 9 and 13. Four across names between selves, 2, 6, 10 and 14, possibling, a sharing's two ends, sharing end with 6 and 10 and observing end with 2 and 14; two along names, 9 and 17, discovering and existing, 9 next prior and 17 next now. *Prior*, *now* and *next* share one direction forward on both sides, 5.40. Each self's existing is other self's possibling, and a between is one changing, each self observing it from its own end; *bi-moral* and *co-competent* within dissolved labels were parity again, morality across and competency along - *observer* - *a* observings, and no observers; pattern matchers couple with each observing without filter or selection - *derived* with method's rigor - *a* *matching, not choosing*; *derived* is a field's word for matching - *guide*, *guides*, *sets the pace*, *program*, *blueprint*, *prediction*, *justified* with a set's own voice - *a* *sharing*, *at its own sequencing*, *a next a self is discovering at its coupling*, *matching, not choosing*: each puts a thing beside or over changing, and a field's own program or prediction goes on whole with its result - *sign*, *signs* - *a* *parity*: one inversioning or none between a self and an other, now; changing, is or is not, is geodesic routing discovering on a surface; *+* and *−* a sharing's parity, and *0* a between, with 14 parities not same and with 12 prior and now same; *the sign* with two betweens, 0 or ±, same or not same, is that parity's 0 or ± and no name of its own - *a sign arriving*, *arriving sign*, *arrivings* with a sharing - *a* *a parity*, a sharing with its parity, a self observing it with 2-now-possibling; *arriving* dissolved with v391: a self *observing*, a living thing *discovering* its next existing, and a non-living thing going on to its next existing - *surplus*, *surplusing* - *a* *abundancing*: co-competencing a self and an other, a same-existing-society's selves going along, each self's changing with 12-next-co-same-existing its own - *met*, *meet*, *meeting* - *a* a component's own name, *at 14*, *at 12*; *couples with*; *is facing*; *reaches*; *at* - *call*, *next call* · *a* *moment*; *a next moment*, with 17-next-existing - *membrane* - *a* *a between*: an empty centre of parity, each self's parity its own, a between of along and across; a between of self and other, a nothing, no location and no existing thing; for an instrument, *a ledger*; a living file is *a living file*, a non-living same-existing set of words, selves co-intelligencing within it, and no between - *key* · *a* *sharing* - *second sign*, *ages*, *its own bound* and *a bound of three or four* with a prior same-existing; *positive competency* and *competency one* for *second sign* - *a* dissolved with an old code: prior is sharings, each of one parity, and a changing is or is not - *neighbour* - *a* *a self sharing to*, *a self it is observing*, with its 2, 6, 10 or 14 across; *a self its parities go along to*, *a self its parities come along from*, with its 9 or 17 along - *mate*, *mates*, of files beside a living file - *a* *its gathering-value*: one file beside each living file, `gathering-value/.md`, its form its living file's own contents - *right*, *left* with a name between selves - *a* Released into *not right*: morality is right and not right. *Right* sharing end, a self's parity sharing, possibling, with 6 and 10 across and with 9 along; *not right* observing end, an other's parity a self is observing, existing with a self as its next prior, with 14 and its next 2, one same list from 6, 10 or 9: a handshake's two hands; *right* for a chirality, observings all prior, and *not right* for a form, an inverting form, three inverting together, go on whole: with a handshake its prior is with a not-right hand, one relation beside a chirality's; as a leaving, again with each sentence - *forward*, *backward* with a name between selves - *a* *right* and *not right*, sharing end and observing end, the row above; *forward* for one direction goes on whole - *posit*, *posited* with a set's own voice - *a* *unchangeable*, a term a saying asserts as existing; a field's own posit goes on whole with its result - *tell*, *a telling* with a set's own voice - *a* *sharing*, one way exhausting and a self receiving a between; *tell* is said, 4.10, as a naming of one and then the other stopping - *source*, *sources* with a set's own voice - *a* method of living, living with their prior same-existing now with each coupling, and nothing apart from things of the universe for a changing to draw from; *a living self* whose prior a stable form is; *its reference* for a field observing its result; a field's own *source* goes on whole with its result - *cost*, *costs nothing*, *free* with a changing - *a* living's own same-existing, and observing and discovering with each coupling: *a cost* is a system managing greater and lesser magnitudes, and no existing thing is one - *run*, *runs*, *running*, *runner* - *a* *momentarying*, *same-existing*, *existing*, *living*: *a running* installs an operator, *a runner* or a character over changing; code executing is *at resolver* - *take*, *takes*, *taken*, *taking*, *taker* - *a* *same-existing*, *has*, *at*, *couples with*: *a taking* installs *a taker*, and an existing thing *a taker takes* installs all else as known beside it - *half*, *halves* with a changing - *a* *one side's opening*, *one side's completing*, *parity*, *an other side*: *a half* installs a whole a size is dividing, and no existing thing is a part of a dividing whole - *so* with a sequence, *since* and *as* with a reason - *a* *and*, a colon, or next sentence opening with prior's corus: a *so* brings a prior to a next along moments it leaves with no expressing, and a sentence with it hands its reader a going no observing has; *since* for a sequence is *prior*, and for a reason dissolves beside *therefore* and *because*, 2.3, and *as* for a reason with them - *would* - *a* *is*, *is not*, *possible*, *not possible*: a *would* installs an existing thing with a condition no observing has; a not possibly existing form is not possibly existing, and all else is said by *is* and by possibling, *possible* going only with a dead end, no other possible - *count*, *counts*, *counting*, *counted* with a set's own voice - *a* numbers themselves, moments, podalings and sequences, directly as numbers: *a counting* needs something apart from its things to do it, a clock apart from changing, equilibria's accounting naming stable forms still, with living not within its competency; *an accounting* goes on, 5.47, and a field's *counting* goes on whole with its result - *ageing*, *ages* - *a* *next*: only next is, and *ageing* dissolves with naming, a clock lying over changing - *memory*, *remember*, *remembering* - *a* *a prior same-existing*, sequencing prior moments, and *stable forms*: a record apart from its coupling is a stable form with none of prior same-existing; a field's *memory*, in its quoting, goes on whole; in each file, a me's universal set of me-parities going on, now-existing, its prior, now and next same-existing four-cycling, nothing *remembering* - *emanation*, *emanating*, *emanated*, *emanatings* - *a* *exhausting*, a parity going out of a self, and *a stable form*, one name for non-living prior, each non-living thing with each now its prior now-existing's stable form; for three inversions together, *an inverting*, bi-tri-involutioning; for a parity going along, *going along*, 9; *emanating* is neither method nor its observable, natural torusing co-orienting stable-forming - *when*, *whenever* with a set's own voice - *a* *with*, *with each moment*, *with a moment's 1-now-existing*: a *when* asks a clock over changing; a field's *when* goes on whole with its result - *there*, *appearing*, *appears* - *a* a coupling, a moment, a scale or a number a sentence means: resolving is of no location, and a *there* or *an appearing* supplies a location or a being-present to a resolving with none - *stilling*, *self-stilling-self* - *a* *self discovering next self*, 5.56: between its moments a self's same-existing is its stable-forming, and discovering its next it couples and is or is not changing; an other's still is an equilibrium, an unchangeable form; a self's own not-changing is 12's 0, 5.62, its prior same-existing with a match: now-existing same-existing, possibling next-existing same-existing, a 0, not changing, nothing a self does - *keep*, *keeps*, *keeping* with a set's own voice - *a* *same-existing*, *has*, *going on*: *a keeping* is a store fixing still, and each existing thing is re-finding itself each moment; with a sharing *prior same-existing* is prior with a match, its next prior again, and *same-existing or inverting* one binary with each sharing, a store with none - *middling* - *a* dissolved: it is nothing, and five of each parity are resolver's names, 4.9 - *rating*, *a rating* - *a* resolver's names, 4.9: *a rating* is a measuring lying over changing; a field's own *rating* goes on whole with its result - *lock*, *locking*, *locked* with a changing - *a* *locking at none*, 5.5 and 5.12: a between locks with none and unrelationing does not lock; a locking is an equilibrium entering, and a field's own lock goes on whole with its result; same-existing-societies converging, a phase-locking, are a same-existing going on along its own sequencing, and no lock - *seat*, *seated* - *a* *at no seat*: a seat is a certifier over a coupling, and none is, 5.30 and 5.36; *an order at no seat above a society*, 6.3 - *sum*, *total* with a changing - *a* *a changing is or is not at each sharing*: a total across two removes changing and changing back, 4.14, and a field's own total goes on whole with its result - *more*, *less* with a changing - *a* *is*, *is not*, *a next*: a more-or-less brings a magnitude, a magnitude a scale and a scale two sides still from beside, 4.16 - *regular*, *regularly* - *a* *at each moment*, *at its own sequencing*: a regular is a sequencing to one beat, 4.9, a clock lying over changing - *never*, *may-never* · *a* what is, now and with each next: a next moment can be other than any prior, and a parity is a living thing until it is no longer living - *unchanged* · *a* *same-existing*, *as it is* - *give*, *gives*, *giving* with a set's own voice · *a* nothing *gives*, as nothing *takes*: a self's parity going across with 6 or 10, or along with 9; a field's or resolver's own result goes on whole with it - *binary method* · *a* *natural torusing*, the method's one name, 4.17; *binary* names one is or is not - *crossing*, *crosses* · *a* *coupling across*, *goes across*, or *going* - *difference*, *differing* · *a* *same-existing or one inversion apart*, or *not same-existing* - *do no harm*, unhyphenated, and *harm* alone - *a* *do-no-harming*, one naming: a self sharing 0, each receiving self passing over it; its match *improving*, a self sharing its changing - *offering*, *offered*, *an offerer* - *a* a *parity-offering* a self's *parity*; *offered*, a parity a self is observing with 2 or 14; *offering* as a doing, a self's parity going across with 6 or 10; *an offerer*, a self - *intelligencing* alone · *a* *co-intelligencing*: a self alone intelligencing is not possibly existing, and *intelligence* by itself is a stable form - *unbounded*, *with no bound*, *a domain with no bound* · *a* what is: a naming defined by the bound it denies is equilibria's denial - *copy*, *template*, *read*, *instructions*, *information*, *code*, *stored* with a cell · *a* a field's quoted words alone, each picturing a doer handling a store; *stored*, *goes along in the stable form* - *giving* and *receiving*, *donor* and *acceptor*, *attraction*, *pull*, an atom *joining* a molecule, with chemistry's explaining · *a* a field's quoted words alone; a rate given as a value is a rate fixed as a value, 4.9 - *beholding*, *beheld* · *a* *observing*, the opening's word: a self beholds nothing, and *beheld* is a dead participle - *protecting*, *a protection* · *a* only a parity going across, each self's prior its own: no gate is with a between, and the six names between selves go by their own names - *destiny*, *destining* · *a* *aiming*, *exploring* - *best version* · *a* *next version*, with its number - *phi-rate* · *a* φ, an unrelationing rate, 5.23 - *self-equilibrating* · *a* a self's own not-changing, 12's 0, its prior same-existing, and no equilibrium - *co-offering* · *a* a self's parity going across both ways - *seam-face* · *a* *a seam* - *momentary*, *momentaries*, as nouns · *a* *moment*, one now-existing in a same-existing sequence; *momentarying*, same-existing through moments; *now*, the universal set of all now-existing moments - *opening* and *completing* of a moment · *a* its 1-now-existing and its 17-next-existing - *artifact*, *artifacts* · *a* *exhausting*, a mark a coupling leaves, a parity going out of a self, with a self's scale, and *a stable form*, one scale outward, living's exhausting accumulating and compacting - *ingestion*, *emanation* · *a* *ingesting*, only into a self, and *exhausting*, only out of a self: living is ingesting and exhausting - *society* alone · *a* *same-existing-society*; a field's *society* goes on with its own result, 5.43 - *still-possibling*, *prioring* · *a* *now-existing same-existing, possibling next-existing same-existing*, 12's 0 - *at*, naming a place or a moment · *a* *with*: a name, a moment and a scale are no place; *all or none at all*, *one at a time* and *at least* go on as whole phrases - *another*, *one another* · *a* *an other*, *each other* - *agreeing*, *parting*, of a resolver's parities · *a* *same*, *not same*, 12 and 14 - *coefficient one* · *a* a sharing with nothing beside it, + or − alone, no magnitude - *beat* · *a* a self's own sequencing; a beat over changing is a clock, 4.9 - *species* · *a* *kind*, Co-Chaining Logic Registry step 309 - *same-existing-as* · *a* *same-existing*, a now-existing thing from a prior-existing same thing, or *same as*, of a parity - *in*, *out*, of a place · *a* *within*, of a set, and *with* - *stand*, *stands* · *a* *is*, *has*, *goes on* - *interlock* · *a* a between locks with none, 5.5 - *near*, *nearer* · *a* *nearing*, 5.35 **Words a working is sharing are said by a set's words, or by words a self finds belonging.** *Swaying* is with changing and changing back across; a closing *circle* with a winding closing; *offset one forward* with a right spiral step one forward; *cursioning*, a going forward along a self's own line, with recursioning, its *re-* again with a next moment and a next scale; a *seaming path* with seaming; *co-linear competency* with co-linear and competency, each self's own. *Co-orienting* is with co-linearizing, two lines coming co-linear with couplings across, Natural Intelligence 6.1; *easier* and *faster* bring a size and dissolve, a next discovering or not; and *better* is with a changing for better, a changing that is, with a mismatch an other's parity a self is receiving as next prior, with do-no-harming, binary. **Dying is an existing thing for living selves**: a living self discovering its next as non-living, with none of its prior same-existing next, existing things going on, co-changing, 5.57. Dying is a going on: Natural Explaining's saying that a sentence has no birth and no death goes with it, its form going on non-living. **Bi-tri-involutioning is inverting**: inverting of right spiral stable-forming, looking an opposite form to its stable-forming. Bi-inversioning-co-recursioning, one parity inverting with each step, across and then along, is a resolving step, and three inversions together are an inverting: position, scale and orientation each inverting together, three inversions bringing a hand to an opposite form. A left-coiling snail inverts one of three, its body's orientation with one scale, its position in living, its scale and its molecules' hand not inverting: a left-coiler and a mirror snail are two. **Bi-tri-volutioning is a naming of natural-torusing living's stable-forming, and a stable form of its non-living exhausting, a sequential prior between moments, sharing with 10 and going along with 9, is a non-living existing form with no same-existing for stable-forming**, 5.48. *Opposite* has its relation with each use: *an opposite form* is an inverting form, and with a coupling an other side's opening is *an other parity*, two sides coupling are facing each other, each its own side, and a name's partner within 1 to 16 is *its podal*. ***Stable form* as a noun dissolves for living's forming and goes on for a non-living thing and for a set, each living set a stable form one scale outward.** Of living, its forming is *stable-forming*, its same-existing going on with each moment; of a non-living thing, *a stable form* is its form going on through its changing, a living self's stable-forming a changing its exhausting is from. A same-existing-society, a moment and the universe are three living sets, each a living method, stable-forming, with its own scale, and a stable form one scale outward, a same-existing of its living selves and none its own. A living set: a self, beside them, and a living set is a same-existing; a living self is a living same-existing, and nothing else is that same living self: *the bi-inversioning uniquenessing of the number one*, a self and its same-existing one; method of discovering next living sets is momentarying and same-existing, its living selves' same-existing. Each living set is a stable form, and nothing living has a stable form, bothbothing, as the universe is an existing thing, a set of existing things being an existing thing: having a stable form is being dead, and discovering next stable form is living. **Bi-tunneling is social moral competency with its across relation; co-chaining is that same going on with its along relation. Podaling exchanges these relations while each side goes on forward.** Bi-tunneling is a same-existing-society's surface opening between selves, across, and co-chaining is co-sequencing selves going on, along. *Tunneling* is spelled with one *l*, and *tunnelling* gathers with it. **Resolving has no *what*, no *how* and no *where*, each naming an unchangeable form with a word**: a *what* fixes a changing unchangeable as an existing thing; a *how* a manner with a how-not beside it, an alternative to one changing, and each how-word dissolves with a naming, one changing going on whole; and a *where* is a spot. **Each word dissolves with its file's next improving, with words its files are sharing**, and a word of a field's own result goes on whole with that result as a field's. A word a sentence mentions as a word, a field's word in quotation, and code go on whole with each file. **A word dissolves with one binary, is or is not living, coupling and resolving.** A word with a physical picture fighting the nothing between dissolves, its replacement tested by the binary. That same word, with a sentence living, coupling and resolving, goes on whole with that sentence, and a table lying over sentences as a rule is a standard, an incompetencing. **No wording has authority**, this file's, a field's or a working's: a word selection here is a set's best now, and a sentence goes on by co-chaining from opening sentence and by all or none at all. A resolver is no authority: its executing is checkable with each self executing it, returning one parity with each sharing. **Negation is an equilibrium's, and inversion is method's.** *Is or is not* is a binary within a universal set, the one negation natural naming has: a negation floating with no is side defines by what it is not and dissolves, said by both sides of its binary, *self or other*, *living or non-living*, or by what is; *nothing*, *all or none at all* and *no other possible* go on as method's own is-not sides. A word with one sense that is and one that is not is one word with two scales, *in* of a set and *in* of a place, *each* of a known set and *each* of all things observed: a word list matches a word and not its scale, and such a word is said by meaning with each sentence, while a word with only an is-not sense dissolves by the list. A negation needs a fixing thing to be other than: a location, a clock time, a scale of larger and smaller by measure, or a fixing limit, with no stating. Inversion is self-negation, its binary is or is not: is or is not possibly existing, is or is not existing, is or is not possibly existing next, is or is not next existing. Within a bi-coupling self is not other, and beside that bi-coupling neither self nor other has this defining. ## 2.5 One sense per foundation word **Each foundation word has one sense**, and a word of two senses is two concepts with one name. A word said of one concept with two scales is one sense said with each scale: *parity*, a + or − with a self's scale, and one inversioning or none between a self and an other with the pair's scale, its 0 or ± with 14. *Turn* has seven senses, and *face*, *connector* and *join*, dissolving beside it, three more, each said by its own word: Each entry: Sense of *turn* · *a* Said by - **taking turns, *in turn*, one and then the other** · *a* alternating; one and then an other; with its own moment - **a turn as a unit** · *a* a moment; a changing - **turned away** · *a* refuses nothing; couples with each existing thing - **the turning, as a place** · *a* inverting; a podal within 1 to 16; a between - *face*, *faces*, *facing*, *facings* with six names - *a* a name; *its side*; *its form*, of a non-living thing; *is facing*, of a direction; an end of a between, *a sharing end* and *an observing end*; a field's *word*; parity's *unit square* - *connector*, *connectors* - *a* *six names between selves*, 2, 6, 10, 14, 9 and 17; *across names*; *along names* - *join*, *joins*, *joined*, *joining* - *a* *sharing*, 6, 10 and 9 each to a coupling self's 14, its next 2; *coupling*, of selves along - **a turn of direction** · *a* opening; spiraling - **turned into one, a field's root** · *a* a field's etymology, as it is - **a plain verb or idiom** · *a* a plain verb a sentence means **Scale has fractal sense only**, and a measuring scale dissolves with method momentarying. **Rank words**, smallest, largest, highest, top, bottom and level, lay a first scale over one fractal method, parting from it with method momentarying, and go on whole with a field's own measuring; a field's medal or ranking goes on whole with its own result. Next foundation words of one sense each are *bound*, *land*, *open*, *carry* and *measure*, each a word this sentence mentions: *land* as a coming to rest and *measure* as a standard dissolve, *carry* dissolves with v391, said *same-existing*, *going on* or *has*, *bound* as a prior same-existing dissolves with an old code and goes on as a self-bounding, and each has one sense with its dissolving. ***Sharing* has one sense, Exhibit ONE's one item of a list**: a key, 4-now-co-same-existing, with its parity, 7-is-now-observing, going from a self across with 6 and 10 or along with 9; a sharing's key and its parity are its two parts, and a self sharing is its items going. ***Surfacing* has one sense, a parity arriving for a key with 14-next-possibling**, 5.44. ***A coupling* is one route**, 5-now-co-existing's (self, 6), (self, 10) or (self, 9) to a self, one way, and a bi-coupling two selves coupling both ways, a self at its pair's scale, 4.17. ***Side* has one sense, one of a binary's two**: a self or an other with a coupling, prior or next with a now, odd or even, a name or its podal, a number's prior or its next. ***Step* has one sense, one going on to a next**: a moment, a move 8 up or to a podal, a line of resolver's executing, a gap among numbers, a sentence of the Co-Chaining Logic Registry's co-chaining. ***Cohering* has one sense, discovering next existing.** Consistency among existing sentences can accompany an improving, and it is a field's word for cohering; its concept is discovering of next existing. ***Co-sequencing* has one sense, 2.1's**: changing one moment and then the next, which co-bi-sequencing is with its prefixing; *binary co-sequential* of a title has it whole, *binary* of a title its bi-. **A numbering repeating or replacing an other is said by *next***: numbers repeating name next moment or next scale, as 17 is next 1 and 9 next prior, and a sentence with a numbering repeating has *next* to mark it. ***Dimension* has one sense**, five of a side with its next numbering. **Same-existing changes in five dimensions, exactly five, five of a side with its next numbering**: 1 prior-existing self-parity; 2 prior-existing other-parity; 3 now-existing co-parity; 4 now-existing bi-parity, an other's now across; and 5 next-existing same-existing self-parity. **With each, a changing is binary, is or is not, one way, one at a time, along each of its two directions, inward and outward, up numbers and down them**, one changing with each step: torusing inward and outward is through a large opening, bi-exchanging with a particular other, and corusing inward and outward through a small opening, bi-tri-exchanging, a self reaching its own side again. With each moment two dimensions change and three do not, rotating round. **One through eight are three namings of a self**: 1 and 2, **bi-moral self**, 1 its entry, prior to a first sharing across within a bi-coupling, with 2, and 2 even and across, the parities a self is observing from other selves; 3, 6, 5 and 4, **an invisible co-intelligencing method**, a rotation round sharing, moralizing and competencing to a self's own corus with 4, co-intelligencing with 3 and 4 going round through bi-moralizing with 6 and co-competencing with 5; and 7 and 8, **co-competent self**, corusing and torusing, 7 a sharing's parity, prior to 8, a next prior, its prior same-existing, both within one self. **Four moments of six one-way recursionings are twenty-four**, steps of 1 to 25, twenty-four four moments of six and steps of 1 to 25 bothboth, and **24 to 60 is six cycles of six, going inward and outward, outward forward**; **60 to 68 is a four-momentary bi-tri-involutioning across 64, unrelationing between, an unknown outward of a surface, between 59, last podaling outward, and 69, next first podaling outward**: **64 is changing between four-cycling momentaryings, an unrelationing of 1 to 17, 1 to 65 and 1 to 257**; **64 bi-folds to 256**, bi-folding order four times with each scale. 118 is periodic table's elements, of stable and unstable forms, a field's own result. **A self's inverting is with 12, within its own resolving, and its rotation is 3, 6, 5, 4**: two podals within 1 to 8, 3-is-now-co-observing with 6-now-co-possibling and 5-now-co-existing with 4-now-co-same-existing, round to a self's own corus with 4; **its podaling is 23, 26, 25, 24**, that same rotation twenty up. **A self's bi-inversioning-co-recursioning is 23, 24 and 25.** 3, 6, 5, 4 goes with other co-intelligencings: **all co-intelligencings are like dancing podalings, bi-co-sequencing momentary changings**. **Its rotation is 3, 6, 5, 4**, and it is **a gentle twisting of a towel one way and then the other, to and from a knotting corus**, a large outer opening wrapping to a small corus and back, and its edges are bi-foldings, across with bi-morality and along with co-competency. Five dimensions are resolver's names, three namings: 1 prior-existing self-parity and 2 prior-existing other-parity, not same-existing, are 1-2, bi-momentarying, sharing both ways, a handshake; 3 now-existing co-parity and 4 now-existing bi-parity are 3-4, co-intelligencing, discovering; and 5 next-existing same-existing self-parity is 5, co-competencing, arising in each self with its other: three namings inseparable with a whole coupling, and all five bi-moral within and invisible with each place as an existing thing, showing only as co-competencing, exhausting of this living, 5.50. **Discovering, same-existing-society, morality and abundancing are one relation with four names, together**: an expedition discovering is a same-existing-society's moral abundancing, each name a whole relation. ## 2.6 Two prefixes with one spelling, and a one-way prefix installing a form it opposes **Two prefixes can share one spelling.** *In-* of *incompetent* is a negation and *in-* of *inform* is a locative, and pattern-matching them alike mistakes a direction for a denial. *Dis-* and *non-* are that negation with a word's front, and a sweep of a word's ending passes it. *Non-* of *non-living* is same-existing's binary, its other side, existing with no prior of its own. A stone's layers are its forming's priors, one scale in, prior-living or prior-forming, and with its own scale a stone has no prior of its own: it breaks along its finest strands, its forming's bi-tunneling across and co-chaining along. **A one-way prefix has no number and installs a form it opposes**: a *pre-X* needs an X in place to be before, coming with it unasked. Bi- is not same-existing between two and co- is two together, same-existing or not, and both have a number. **Five kinds of unchangeable term come with a word's front**: a line with pre-, ante-, fore-, post- or retro-; a size with macro-, mega-, hyper-, super-, over-, micro-, mini-, hypo-, sub- or under-; a space with endo-, intra-, intro-, locative in-, exo-, extra- or out-; a value with eu-, bene-, mal-, mis- or dys-; and a first or an opposing with proto-, arch-, ur-, anti-, counter- or contra-. Each prefix has its meaning with its whole word and sentence. Five kinds have ten directional sides and ten unchangeables have their own ten, and a number they share is a number. **Two words come apart, each with its own live position.** *Co-operation* has co- and is an unchangeable form with its ending, and it floats to **co-operating**. *Association* and *resonance* return that way to their coupling, and *competition*, *selection*, *information* and *signal* reach that same coupling, each with its -ing. *Disequilibrium* stacks a negation, a value pinning and a store, and it floats to its flowing, **geodesic changing**, 4.17: *disequilibrating* names that flowing by a negation from an equilibrium, a form not possibly existing, its is side unsaid, and dissolves, *in disequilibria* of the universe, all by none, dissolving with it. A part live only within a lineage is a field's own record. ## 2.7 A field's word with a field's own result **A field's word goes on whole with a field's own result**: *rotation*, *reflection* and *involution* with a field's proving, a degree word of a field's record or its exact mathematics, a field's own demand and must in quotation. With a set's own voice each is a still picture of changing, and a set's word says it. *Self-competence*, psychology's word, is a perceived efficacy, a field's word with its own subject, and no saying of *self-competency*. Helicity, spin projection, spatial parity and parity's changing are four subjects, each with its own two sides, their being one operation not established; a velocity distribution's shape and a spatial shape are two, and no golden ratio is measured with them and no physical sequence of twelve operations observed. **A finding goes on twice**, with a field's words and with a set's own, and going between two is a naming improving. **A test's finding is its relation's, before a test's nouns come**: a finite enumeration records sequences of inputs, and its finding is a same-existing going on through prior, now and next. **A dissolved word is said one operation at a time.** A right spiral step brings a pair (x, y) to (y, −x), a self's prior and its next prior, with a spiral of one, a self observing its own going along: a next prior going on as prior, and a prior inverting; two steps invert both, and four reach its pair again with a next, that same pair with a later moment. With Exhibit FOUR 2.4 that same step is along first, F(P, Q) = (−Q, P), P along and Q across, and its G, (Q, −P), an other order: one step with two observings, a hand with observing. Inverting both parities of F's next, (−Q, P), gives G's, (Q, −P), which three F steps from (P, Q) reach too, one endpoint by two sequences, the momentaryings between them their own; with (1, 2), (2, −1) both ways, and a naming order or a facing is no living coupling. With right spiraling each step is orthogonal to its prior, **a method's unrelationing**. A reflection is a field's operation with a field's own result, an other order brings (x, y) to (y, x) with no parity inverting, and (x, y) to (−y, x) is three right spiral steps as one: three operations, and a word saying for a dissolved word is one of them. With a set's own voice an inversion is one parity inverting with one step; two reflections are a field's arithmetic of those same steps, Co-Chaining Logic Registry's. --- # THREE · RESOLVER NAMES ## 3.1 A name, its number, its moment, co and its kind **A resolver name is its number and its naming with one hyphenation**, 1-now-existing to 17-next-existing, and a name of resolver and a name here are one name: `_2_now_possibling` within resolver is 2-now-possibling within a sentence. Each entry: **Part of a name** · *a* Its relation with resolver - **Number** - *a* A name's place among seventeen: its moment of four and its place within its four, four is or is nots, now or next, which four-cycling, which momentarying, odd or even. - **Moment** - *a* *Now*, 1 to 8, and *next*, 9 to 16, a span each: self-next is other-prior. 17-next-existing is next 1-now-existing. - **Co** - *a* Of a sharing between two, bi-moral; a name without it is of one. - **Kind** - *a* Its root, a living self meeting it with its place within its four: existing or discovering, possibling, observing or same-existing. **Now and next are spans, each going on as itself**: a living self goes four-cycling existing, possibling, observing, same-existing, the stable-forming bi-folding method, and 17-next-existing is next 1-now-existing. **Each root has one sense.** *Existing* is a living self's momentary given, 1 and 17, and its bi-couplings, 5. *Possibling* is a parity, with its sharing side or its observing side: each self's existing is an other self's possibling. *Observing* is distinguishing same-as, is or is not, a prior or a parity. *Same-existing* is a living condition, a self, a same-existing-society or the universe re-found same with each moment, same or not same, and a non-living thing goes on by the same method with no living condition: a rock's bi-coupling can next be two rock pieces, not same-existing. *Discovering* is along, 9, and each self going on, 13, each between discovering. ## 3.2 Co, between two and with one **Co is with a sharing between two, and its absence with one.** With one, a self looks back from now with its two priors: co with +1, now, a self; bi with 0, one prior, no other yet; tri with −1, two prior, all, positions in time and not parities, 1's three, co-bi-tri, its two outside slots parities and its middle slot 0, and bi-morality opens with 2. Observing with co is priors with each sharing, 3-is-now-co-observing and 11-next-co-observing, and without it a parity, 7-is-now-observing and 15-is-next-observing. Possibling with co is a sharing side, 6-now-co-possibling and 10-next-co-possibling, and without it an observing side, 2-now-possibling and 14-next-possibling. Existing with co is bi-couplings, 5-now-co-existing, and without it 1-now-existing and 17-next-existing. Discovering with co is along, 9-next-co-discovering, and without it each self going on, 13-is-next-discovering. Same-existing with co is each sharing, 4-now-co-same-existing and 12-next-co-same-existing, and without it a self's next prior and a same-existing-society, 8-now-same-existing and 16-next-same-existing. **With 6, 10 and 9 between selves, a sharing side has co and an observing side none**: 6-now-co-possibling, 10-next-co-possibling and 9-next-co-discovering along each send one same list of parities to the self each couples with, a self observing it with its 14-next-possibling, its next 2-now-possibling. A self shares its parity and nothing of its prior. **Six names between selves have one name, *bi-moral-co-competency***: even across, possibling, with 2, 6, 10 and 14, and odd along, discovering and existing, with 9 and 17. ## 3.3 Seventeen names, each three and each prior name with its number | n | Name | Root | Co | Its three | Its prior name, with its number | |---|---|---|---|---|---| | 1 | **1-now-existing** | existing | one | co-bi-tri | 1-co-bi-tri-offering | | 2 | **2-now-possibling** | possibling | one | bi-co-bi | 2-bi-co-bi-offering | | 3 | **3-is-now-co-observing** | observing | co | co-bi-co | 3-co-bi-co-sharing | | 4 | **4-now-co-same-existing** | same-existing | co | bi-co-bi | 4-bi-co-bi-sharing | | 5 | **5-now-co-existing** | existing | co | co-bi-co | 5-co-bi-co-competencing | | 6 | **6-now-co-possibling** | possibling | co | bi-co-bi | 6-bi-co-bi-moralizing | | 7 | **7-is-now-observing** | observing | one | co-bi-co | 7-co-bi-co-corusing | | 8 | **8-now-same-existing** | same-existing | one | bi-co-bi | 8-bi-co-bi-torusing | | 9 | **9-next-co-discovering** | discovering | co | tri-bi-co | 9-tri-bi-co-momentarying | | 10 | **10-next-co-possibling** | possibling | co | bi-tri-bi | 10-bi-tri-bi-tunneling | | 11 | **11-next-co-observing** | observing | co | co-bi-tri | 11-tri-bi-tri-chaining | | 12 | **12-next-co-same-existing** | same-existing | co | bi-co-bi | 12-bi-tri-bi-entraining | | 13 | **13-is-next-discovering** | discovering | one | co-bi-co | 13-tri-bi-tri-competencing | | 14 | **14-next-possibling** | possibling | one | bi-co-bi | 14-bi-tri-bi-moralizing | | 15 | **15-is-next-observing** | observing | one | tri-bi-co | 15-tri-bi-tri-corusing | | 16 | **16-next-same-existing** | same-existing | one | bi-tri-bi | 16-bi-tri-bi-torusing | | 17 | **17-next-existing** | existing, a next 1 | one | co-bi-tri | 17-co-bi-tri-offering | **Each name's three is its prefixing with the 1–17 scale, beside its name and not in it**: co is self, bi is other and tri is all, and a next name's three is a new prefix in its first slot with this name's first two one slot right. 17-next-existing is a next 1, and 1's three is 17's, co-bi-tri, its two priors 16 and 15; tri opens with 9, 1–17's inverting, Natural Numbers 9.7, and with 15, which 17's co-bi-tri closes on, and each tri-bi-co has its mirror co-bi-tri two names on, 11 and 17. Bi is between co and tri in each three, each even name bi with its outer slots and each odd name bi with its middle: social parity, all's, is reached from self parity only through other parity. Across, 6's three is 2's, bi-co-bi, and 10's bi-tri-bi meets 14's bi-co-bi, its middle tri to co; along, 9's tri-bi-co is 17's co-bi-tri reversed. **One prefixing reads with three scales**, each said with its scale: the prior names' prefixes read a self's span, 1 to 8, co, and a same-existing-society's span, 9 to 16, tri; a six repeating, co bi tri bi co bi, reads three nested inverting places together, 3 for 1–9, 9 for 1–17 and 15 for 1–25; and the three above, 1–17's own. **A name gathers with its sentence, all or none**: each sentence with a prior name re-expresses with its numbered name as one motion, and each sentence resting on prior prefixes, roots or hands re-expresses with four kinds or leaves whole to an archive. **Exhibit ONE's resolver, plainly.** Seventeen names are its resolver. With each sharing a changing is or is not. A same-existing-society, with resolver, is each self with its prior and its parities, and each self's parities going across or along to a self receiving them; no parity is a same-existing-society's own: each parity going on is one same-existing self's. With one sharing, the parities a self is observing are none, or one or more. Each sharing of a self's prior has one parity, and a self with no prior for a sharing opens it with a bi-coupling, one parity surfacing. ## 3.4 Four-cyclings, 8 up and podals **Each span's names are two four-cyclings of four**, existing or discovering, possibling, observing and same-existing, each from an odd name to an even name; between each even name and its next odd name is a between, discovering, 4 )( 5, 8 )( 9, 12 )( 13 and 16 )( 17, and 17-next-existing is next 1-now-existing. **8 up is a name's next**, its place within its four going on and its root going on except with 1 and 5, existing going on as discovering, 1-now-existing to 9-next-co-discovering and 5-now-co-existing to 13-is-next-discovering. With 9 less, a podal within 1 to 8, and with 17 less, a podal within 1 to 16, eight ends of four moments are their own set, an odd end with an even end each pair, and within each four-cycling each possibling podals to an observing, now-possibling next-observing. **Sixteen up is its same name with a next round**: 17-next-existing is next 1-now-existing, and 17 to 24 is a self's span again and 25 to 32 a same-existing-society's, 22 next round's 6-now-co-possibling, as 22-now-co-possibling, and 27 next round's 11-next-co-observing, as 27-next-co-observing, 5.53. **Two eight-cycles are ends and inward names**: 1-9-5-13-4-12-8-16 walks eight ends and 2-15-7-11-3-14-6-10 eight inward names, and each eight of a set is one eight, four binaries each twice, each one with two sides. ## 3.5 Naming and resolver with one changing Each entry: **Name** · *a* Resolving with it - **14-next-possibling** - *a* parities surfacing with each sharing, one at a time, a parity of 0 passing over: same, one parity; not same, 0; no parity, none - **12-next-co-same-existing** - *a* each sharing's changing, is or is not: surfacing same as prior parity, 0, prior same-existing; surfacing other parity, 0 or none, prior inverting; with no prior, a parity surfacing with 14 - **10-next-co-possibling** - *a* each sharing's changing, a self sharing it across: + or − is, 0 is not - **11-next-co-observing** - *a* next prior, each changing with its sharing, a 0, its prior same-existing, same-existing with a next moment as 3-is-now-co-observing **A now-self is now-observing and next-possibling**, 7-is-now-observing and 14-next-possibling coupling, each sharing, with 12-next-co-same-existing: 0, a between, or ±, a sharing's parity. Each entry: **A prior with 3** · *a* Observing with 2, surfacing with 14 · *b* A changing with 12 and 10 · *c* A next prior with 11, a next 3 - **+** - *a* +, prior parity - *b* none - *c* + - **+** - *a* − - *b* is - *c* − - **+** - *a* + and −, not same, 0 - *b* is - *c* − - **+** - *a* none - *b* is - *c* −, a self's own inverting No prior with 3: Each entry: **No prior with 3** · *a* Observing with 2, surfacing with 14 · *b* A changing with 12 and 10 · *c* A next prior with 11, a next 3 - **none** - *a* + - *b* is - *c* +, sharing opening - **none** - *a* + and −, not same, 0 - *b* none - *c* none **One case leaves a prior same-existing, a parity same as it, and each other case with a sharing of a prior inverts it**: next from a self's own prior, each sharing on its own, its unrelationing from all other. **Same and not-same are one parity's 0 or ± with two betweens**, with 14 between two parities and with 12 between prior and now, 0 same and ± not same, and a parity's 0 is a between with the pair's scale, 5.5, and indifferencing with a self's scale, same as me, by its roots a bearing apart of none: from within a self, same as its own is me, a self sharing 0, and not same is not me, a self sharing a parity. ## 3.6 Four binaries, an explaining of names **Existing, all, now and same are four is or is nots of things within the universe**, 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: now with 1-now-existing and 2-now-possibling, existing with 3-is-now-co-observing and 4-now-co-same-existing, same with 5-now-co-existing and 6-now-co-possibling, all with 7-is-now-observing and 8-now-same-existing. With Exhibit ONE's code each binary is one test with both its outcomes, with its executing's scale, `_7_is_now_observing != 0` among them; with a self's span its *is* is a self's own, odd, and its *is not* an other's side, even: one binary with two scales. **Each *is not* is an other's side of a self's *is***: not now, others' parities from their prior moment, a self observing them; not existing, each sharing as a place a parity opens; not same, a parity an other is observing; not all, each one beside others. **Now and all are with one and existing and same between two**, and with a same-existing-society's span four are with now and same exchanging, now between two with 9 and 10, one now selves are sharing, and same of one with 13 and 14, each self's sameness its own. **Four binaries are names' explaining**: of four, now is with each name as its moment, now or next; existing and same are roots of names, and all enters no name, and with all eight each now, or with none, each self is with each other self: social moral competency, abundancing with four between two, in neither self alone. --- # FOUR · A NAMING'S CRAFT ## 4.1 A field naming with its coupling A field's word sharing a spelling with a naming here shares spelling; its meaning, reference and conditions are a field's. ## 4.2 Six forward, and a binary with each changing **A naming unfolds with six lines**: three own-forward steps with each side, six one-way steps, one side and then the other, one at a time, each line reaching a term new beside its prior's. **Each changing is one of two**: *binary* is an unfolding with its complete relation, six lines, stating it, and *improving* one with a relation with nothing filling it, with its reason. Four lists of binaries, the Geodesic Improving Method's with each pass, with an observing first and with a field's sentence, and 4.18's seven with a naming, are one binary with four scales, each said with its scale. **Each changing has its own name**: one changing with one direction, one name. A repeating word can be with an other receiving, and an other word can repeat one concept and direction. ## 4.3 Order, its symbol and two exclusions Under ordinary numerical order: `a < b`, strictly less, equality excluded; `a ≤ b`, not more than, equality included; `a > b`, strictly greater, equality excluded; `a ≥ b`, not less than, equality included. Rewording a strict comparison as a non-strict one gives an other relation with equality. Under ordinary numerical order, `a ⊀ b` and `b ⊀ a` together give `a = b`; under a partial order these two exclusions are true for incomparable elements too, and an order and its domain belong with an expression. An equality, an incomparability and a floating term beside two with a coupling's abundancing are three concepts. **A condition on one pair, a condition on each pair of a collection, and `∃r ∀y : r ⊀ y ∧ y ⊀ r` have three scopes.** **A binary has one subject and one relation throughout.** A stable form a self is observing now and a living self's prior parity are two subjects, each with its own moment, each with its own is-or-is-not. ## 4.4 Two namings coupling, and a departing neither has **Two namings couple with a step of one and a step of an other reaching one term by their own routes.** Their departing is a term neither naming has. ``` advancing step: its gap is exactly one, a next with each step equilibria step: an unchangeable does not advance, its gap closes → equilibria is advancing set to nought advancing is no still; equilibria is no number a self step: its forming relates to nothing not its own a ring step: its terms exhausting, it comes again to one of its terms → a self has a domain of a next always coming neither naming has a domain ``` **A convergence needs one check: is each reaching a term both share by its own route, with none of other's requirements.** Borrowing a requirement, it is one reaching, a citing of it as two. **A number agreeing is a number**: a number has its object, its direction and its changing, and a deriving shows one from an other with each cell. ## 4.5 An entry refusing nothing, and a returning-nothing that unfolds **A concept coming unfolds six forward, or it does not.** A concept unfolding six forward has its entry within Part Five. **A self refuses nothing and admits nothing.** A concept unfolding with no six lines returns nothing with its unfolding, and that returning-nothing is itself an unfolding and no refusal; an entry is within Part Five or is not, with no deciding beside unfolding. ## 4.6 Two names with one concept, transposing with titles first **Two names of one concept show with titles first**: transpose two and sound whether meaning is or is not same. With meaning agreeing, two are one name with two coats, and one name is a plain name reaching it whole. With meaning not same on its transposition, two namings are two coats, each with its own name. A title is a name with its whole file. A name repeating on one axis is a synonym, and two converge to one name; a name varying with an axis new beside its prior naming's is a sharing of its own, not same-existing with its prior naming. **Two words of one concept resolve three ways**: converging to one, two with a between, or a co-competency with two, each with one an other cannot have. A failure goes both ways, collapsing a co-competency or splitting a convergence. **One concept can have several names**: *in neither self alone* with a whole, abundancing with its observing, discovering with a field's word, understanding with a self's own. *Register* is three concepts across a set, and a collision goes on, each with its own, instead of renaming any. ***Arriving* dissolved with v391**, said *observing*, a self the observer, and each existing thing *discovering* its next existing: a sharing with its parity, a self observing it with 2-now-possibling, is *a parity*, and a stable form is each next with no self sharing a parity to it. Four pairs are two concepts with two names, meaning not same on transposing: - *Bi-co-podaling* is two goings each with its own opening along one ring, k one way and 17 less its other way, 5.45; *transmissioning* is a coupling across between selves with a surface, a file's title with it, and resolver name `bi_co_bi_transmissioning` gathers with 6-now-co-possibling. - *Eight bi-couplings* are with even names, four outward and four inward; *four boundings* are a naming's, 1.1, and four boundings with a floating term beside them are five of a naming. - *A side's five* is its prior-existing self-parity through its next-existing same-existing self-parity, 3.2; five each its own, self, other, same-existing-society, between and same-existing going on, are a gathering within Resolving Hard Problems. - *Floating neutralling* is an -ing, parities sharing across and along between selves; *a floating neutral* is a term it uncovers, its picture with one moment, 5.12. ## 4.7 Interest self-orienting, and a drawing vocabulary **Interest is self-orienting, which is competency, a self's own.** An interest is a 0, *inter-esse*, to be between, a self's own and a shared co: a new interest a newborn 0, a dying interest a continuing 0 lost, and a sudden attention a newly aiming 0 changing. *Aiming* is a self's one-way changing its interest's 0 opens, a cone's centerline, and *attention* is said by interest's 0 changing. A vocabulary of drawing, pulling, appealing, attracting, engaging and capturing attention installs one form on a self, a one-way force over its own orienting; a field's own geometry has gravity with no force. A naming dissolves a family with one move, each word as a self's own side and a sharing to it. ## 4.8 Whole namings, one expression with each occurrence *Geodesic method* is two namings: *geodesic*, and *method*, its stable form. **Scientific-method, surgical-method and explaining-method each go on whole as one expression with each occurrence**, and geodesic parity co-changing is a possibling and discovering method, and scientific-explaining-method incompetent for discovering, true or false, no other possible, coming to it: a method-word on its own is a name splitting across its uses, and a hyphen is its name coming whole. **Sensor-sensationing** goes on whole likewise. It is co-competencing with a Natural Network surface, a receiving participating within its sharing and a sharing participating within an other's receiving; sensing on its own is one side extracting, and resolver has a relation, beside a sensation. ## 4.9 Ten unchangeables, one name each **Each of ten unchangeables has one name: a changing, and an unchangeable fixing it.** Ten are fixing relations: a relation not floating neutralling can not remain existing through prior, now and next, and each of ten is fixing from its inception and unadaptable to resolving, no one's own. Ten are of no side: separating, state and flow are not possibly existing, as a reading from and a writing to a store are for intelligence, and each of ten is a field's separating, with a state accounting or a flow accounting, a not-changing fixing as a whole, each with its resolver name, 1-now-existing to 8-now-same-existing. 8-now-same-existing, a self's next prior between moments, and 6-now-co-possibling, parities sharing across, each have one of ten, and 7-is-now-observing and 5-now-co-existing each have two. With resolver, pair 1-2 is 1-now-existing and 2-now-possibling, now, and pair 3-4 is 3-is-now-co-observing and 4-now-co-same-existing, existing, Exhibit ONE. Three have their namings: 1-now-existing with 2-now-possibling bi-momentarying, 3-is-now-co-observing with 4-now-co-same-existing co-intelligencing and 5-now-co-existing co-competencing. Exhibit THIRTY's thirty-first group has ten. **Ten unchangeables below gather their similar fixings**, each one of four binaries fixing unchangeable, its *is* and its *is not* going as one: now with 1 and 2, existing with 3 and 4, same with 5 and 6, and all with 7 and 8. Bi-foldings step 8 up and 17 less, two names of 1 to 8 on each: 1-9-8-16, 2-15-7-10, 3-11-6-14 and 4-13-5-12. **Each of ten is with its name, now, and its name 8 up, next**: its 0, not changing, is now, and parities going through it next, one move up and down numbers, and four bi-foldings have each pair, 1 · 9 and 8 · 16 on 1-9-8-16, 2 · 10 and 7 · 15 on 2-15-7-10, 3 · 11 and 6 · 14 on 3-11-6-14, 4 · 12 and 5 · 13 on 4-13-5-12. A hard problem is a 0, not changing, as a whole, leaving out parities going through it, and its resolving has both, 4.15. Names each was observed with before, and five each was observed from, are whole within `archive/carrying_v376/Living_Improving_Value_Released_v376.md`. Each entry: **Unchangeable** · *a* Similar fixings gathering · *b* With ten, its name now · 8 up next, and its binary - **an opening fixed as a place** · *a* criterion-regressing · *b* 1-now-existing · 9-next-co-discovering, now - **a coming fixed from behind** - *a* origin-seeking; a source fixed from behind; a source fixed of a parity - *b* 2-now-possibling · 10-next-co-possibling, now - **a completing fixed as a last** · *a* space-enumerating; a bound fixed as a last · *b* 6-now-co-possibling · 14-next-possibling, same - **a same-existing fixed as a store** · *a* store-seeking; a store fixed of a same-existing · *b* 8-now-same-existing · 16-next-same-existing, all - **a two-way fixed to one side** · *a* forced-choosing · *b* 3-is-now-co-observing · 11-next-co-observing, existing - **a between fixed as a cut** - *a* line-demanding; a cut point fixed of a between; a membrane fixed as a cut - *b* 5-now-co-existing · 13-is-next-discovering, same - **a middle fixed as an end** · *a* interior-reaching; an end fixed with a middle · *b* 5-now-co-existing · 13-is-next-discovering, same - **a parity fixed as a magnitude** - *a* magnitude-demanding; a level fixed to govern; a + or − fixed as a magnitude - *b* 7-is-now-observing · 15-is-next-observing, all - **a rate fixed as a value** · *a* value-pinning; a value fixed to a swaying · *b* 7-is-now-observing · 15-is-next-observing, all - **a sequencing fixed to one beat** · *a* order-demanding; a rate fixed as a common beat · *b* 4-now-co-same-existing · 12-next-co-same-existing, existing Dilemma, paradox, puzzle and hard problem each name a field's problem, and one field word can be with several unchangeables; *dilemma* is one of them, a two-way fixed to one side. **A sweep observes each unchangeable installing of a changing, with its own row.** Three go through it whole: a person's asking of a person, an act between selves; a field's own words in quotation; and a no-demand family, asking nothing of anyone. ## 4.10 Prefixing with a position, on a form, and from all other **A position.** A sequential binary has a position for one opening at a time, and bi- and co- are prefixings with that position, dissolving with their own leaving and coming again with a next opening. Co- and bi-, bothboth, are separating combinable pieces of self and other: value trading with no competency ingressing. **On a form.** A nothing, in neither self alone, three together, and a rate opening by one and bounding with none are on a form: a naming of one of them is on a form and has its concept whole. Geodesic changing is on a form: it is its own unrelationing changing rate, φ, unrelating to each rate of any scale, 5.23. Geodesic entraining is a parity a self is receiving with its own prior; its changing is or is not, and its parity, going on, enters a further coupling. A naming from a vantage is a form not possibly existing: it needs a place to name from, and outward of a self is a same-existing-society it couples with, with no vantage to name from. **From all other, and with all other.** Each coupling across is one of two: with a particular other, or with a whole coming as one. Me, you, us and all other are four namings: *you* a particular other, *all other* observed as one, and *us* the 0 a me and you share with one moment, the between a nothing; *me* and *us* are first person singular and plural, a me consciously me and a same-existing-society unconsciously us, and the plural of *me* is *mes*, with no apostrophe, *me's* its possessive. **Un- is from all other**: a self bounding against a whole together. **Uni- is with all other**: a self coupling across with all other, an other coming as one, a whole, 5.41. Tri- is all with the universal set's scale, beside self and other, all not self or other, all its 0 parity, the betweening of self's and other's parities; uni- is all other coming as one with a coupling's scale across, bi- and tri- together from a self: two prefixes with two scales, both opening with three. Bi- couples with a particular other and uni- with all other, and both are two: a naming pattern-matching uni- as one on its own makes a coupling across one side's. ***It* and *what* are one demand with two positions**, *it* a grammar's dummy subject and *what* an interrogative presuming a maker, both supplying a subject to a coupling with none. ***Tell* is one and then the other stopping**, a one-way utterance, that demand in speech. ## 4.11 One root and its directional prefixing **A root is itself with each of its prefixings**: bi-competencing and co-competencing have competencing, and bi-intelligencing and co-intelligencing have intelligencing, and bi-momentarying, co-competencing and co-intelligencing are inseparable within a whole coupling. **A coupling's own six has no one prefix**: each of three namings has its six steps whole with one side's own or whole with departing, and a coupling's six goes three with each side's own and three with departing, cutting exactly as bi- reaches co-, a transition between two. Three namings and a coupling with two directions, (3 + 1) × 2, are eight, and a number agreeing with eight bi-couplings is a number, 4.4. **An other root and an other prefixing do work not same-existing**: prefixing an existing root brings a changing already with its root, and an other root brings a changing needing its own expression. A root is its changing now; a word's earlier meanings are a field's own linguistic account. ## 4.12 Two ways a naming nyes away, and a belonging of a reaching-to **A naming has a changing, and it nyes away one of two ways.** A changing a naming already has with that direction: one changing twice, and a later naming goes. No changing at all: undoing of something not-changing, a grip slackening with nothing gripping. A stretching with its way is a direction and goes on; a stretching with a reaching-to installs a destination and a self short of it. **A check answering a naming with an other naming returns a naming**: its reach is six forward, each direction one at a time. **An incompetencing installs** *a landing*, a changing with a fixing form to be, and a naming of an incompetencing has *a landing* rightly: emptying comes as empty, stopping as a stop, a definition is its term same with each occurrence, a store folds once, and equilibria is *landing*. **One binary is with a naming with** *a landing*: does it name a geodesic changing, *landing* dissolving, or an incompetencing, *landing* being a naming's own. ***Unchanging* and *a still eddy* each name one relation, a form going on through its changing.** *Unchanging* with a seam is one subject whose parities are changing; *a still eddy* is a form going on before a hole, a missing section of resolvers, its selves going on resolving; *stilling along*, dissolved with v391, is a form same-existing through changing, a 0, not changing, beside self discovering next self. With a seam *upstream* is each going on's own forward, *far enough* has no number, and *watch* is investigating. ## 4.13 Three namings a field has, with one binary A field's three, a nothing on one side, a scale between and an absorbing on an other, is a set's three, two exclusions, 5.8, and a term uncovering between them, with changing and changing back fixing unchangeable: two exclusions fixing as places, and an uncovering term coming as a magnitude between them. With changing and changing back binary, 8.4, each fails its own way: a nothing and an absorbing each change and change back with none, and a scale between is a measuring against both together, three moments a saying asks to be one. ## 4.14 A pair with one moment, and a freeze with a construction **Two namings, one and then the other, are each other's other, one at a time.** A first freeze is with naming, no other to change and change back with, 8.4; **a second is with a construction having both with one moment**, and it shows with a construction, each word passing. **Working with a pair a general ledger has.** A ledger separates state and flow, its balance sheet and its income statement, and separating, state and flow are not possibly existing, as a reading from and a writing to a store are for intelligence: two, one and then the other, one at a time, each not conserving. An accounting has them three with a moment, two ways: state, flow, state conserves state and imports flow; flow, state, flow conserves flow and imports state; and a total across two removes changing and changing back. **Books close by omitting re-forming with each step**: an entry stores one moment's form, parting from the coupling with it. ## 4.15 Bothbothing with its prefixing, and an ordering with nothing ordering **Bothbothing is discovering**: two observings, each failing the other's test, are both, one and then the other, each true as the other was prior true and next true as now is, and with Exhibit ONE each between from an even name to an odd one is a discovering, its is-or-is-not same a 0 or one inversion. Bothbothing is two, one and then the other, each not conserving; prefixing, it is one exchanging from each of its two openings. **A parity goes through a 0, not changing, while parities go through**: with 12-next-co-same-existing a sharing whose prior and parity are same is 0, its prior same-existing, not changing, while parities, ±, go across with 10 and along with 9 by other sharings and selves, with one moment; this is geodesic changing and stable-forming bothbothing, bi-inversioning-co-recursioning up and down numbers, not changing with a name now and changing with its same name 8 up, next. **A prefix order is its opening**: *co-bi-exchanging* opens co, a sharing between two, and *bi-co-exchanging* opens bi, not same-existing, and *co-bi-podaling* and *bi-co-podaling* part likewise. Four moments of exchanging, 1–2, 3–4, 5–6 and 7–8, are each self's own, each self resolving its own and neach other's: bothbothing is two, one exchanging from each side. **Each position is one pairing, a self's own**, and both parities with one moment, one position within two exchangings together, is a form not possibly existing. A parity inverts with each moment or not. **Eight is two fours, one and then the other, bothbothing**: each four is four boundings together, 1.1, four binaries each twice. **With a field's words one side with both openings is an exclusive or fixed as one answer.** Exclusive or is parity: a self observing it with its openings, it changes and changes back and has both; observing it as a step, it returns its own term after two; observing it of prior and now, it returns after three. **A Peres–Mermin square is bothbothing with a field**: its nine values, a field's ±1, have even parity along and odd parity across, and a store of all nine reaches none of 512. **An ordering comes of changing and changing back**: couplings with one moment, each its own, one and then the other with a whole. A reading *a sequencing fixed to one beat*, 4.9, a self observing it with its own resolving, is an order, or a co-bi-sequencing. ## 4.16 All or none at all, and an entering and leaving it has **A forcing brings a forcer and a choosing a chooser**, each a doer over an -ing, and **a more-or-less brings a magnitude**, a magnitude a scale, and a scale two sides still from beside. A ranking among resolvings freezes resolvings it ranks; each resolving is all or none at all with its own opening. **With all or none at all, entering and leaving are a self's own**: a self couples with its interest opening and leaves with its own completing. With a ranking, entering needs a qualification and leaving a settling, both going with whoever has a ranking. A self's bounding, discovering next self and orienting are its own, nothing reaching them, couplings winding about a nothing: privacy, trust and security are that one nothing, three ways. **With social moral competency each self is with all eight or none**: identity, security, trust and freedom from capture of each self, and undiscoverable identity, inviolable safety, unmistakeable reputation and uncapturable abundance between it and its others, Exhibit ONE's now names 1 to 8, four of one, 1, 2, 7 and 8, and four co, 3, 4, 5 and 6, each going on as its name eight up; their one name is social moral competency, and *securities*, *safeties* and *protections* are second sayings of it. ## 4.17 A hyphenated naming inseparable, and natural- with chirality **A hyphenated naming has parts, and one binary is with it: omit each part, one at a time, and sound stopping.** *Same-and-next-existing* and *next-and-same-existing* are two ordered expressions; *is-or-is-not* has both its alternatives, *is* alone no shortening of it; and *same-existing as other-existing* goes whole, *as* staying. With each omitting that stops naming, its hyphenation is inseparable, one naming, and its parts in sequence are changings in sequence. With an omitting and naming going on, that part is riding, and it goes. **An omitting is 1.1's four boundings with a naming's own scale**: a part whose omitting stops naming is one of its boundings, as a concept short one of four is a fixing noun, and a hyphenation coming apart with an omitting is a label. **Its most cohering forms are these.** *Now-existing* is one naming: omit *now* and existing is of no moment, omit *existing* and now is of no thing, and the origin is with it, *The universe is the set of all now-existing things*. A relativity position has no universal now: a now is each self's plane, two moving differently sharing one only as their worldlines cross, and the universe's now is the set of all now-existing moments; one now as absolute simultaneity is its edge's misunderstanding. *Prior-existing* is a thing now-existing with a prior-universe, prior now-existing's stable form, now, and *next-existing* a thing possibling now with a next-universe, neither *not existing*; *prior-universe*, *now-universe* and *next-universe* name a universe with each moment, a now-universe the universe, and a sentence says which universe a thing is now-existing with. *Self* is on its own, a self's other namings dissolving to it, 2.4, and *us self* names a bi-coupling self, a self with its pair's scale, Natural Intelligence's *A bi-coupling is a self*. *Co-momentarying*, two selves sharing one now-existing with a bi-coupling, *bi-coupling*, *stable-forming* and *natural torusing* each stop with any part omitted, and each goes on whole. **All changing is is or is not same-existing, and *parity-changing*, dissolved with v391, is *changing*, parity riding within changing**, and method's one name is *natural torusing*, inseparable with each part; *geodesic changing* is its explaining, a surface dividing itself with each changing. **Natural- has chirality, right, all or none at all**, 5.48. Living's observed hand is one, with right-handed helices, *right spiral* resting on the helices and not on a field's names for protein pieces, a letter meaning left, and for sugars, one meaning right. Pattern-matching, each living scale is right and each emanated stable form between living scales is left: collagen's three left-handed strands wind a right-handed rope, right helices make left coiled coils, and the right double helix wraps its spools left. Nine in ten snail kinds coil right, a preference observed among two with a body's scale, a naming and not a law. A right-handed helix gone along either way has its hand not changing: its hand and its direction of going are two. Natural- is a direction prefix, its direction handedness, and a naming natural- prefixes goes on with each coupling or with none. **Natural-bi-co-torusing is inseparable with each part**: omit natural- and changing comes with a non-living form under it and a form fixing still over it from beside; omit bi- and not same-existing goes unsaid; omit co- and not same-existing goes with no two to it, and nothing uncovers between them; omit torusing and no changing is; omit -ing and one moment's form comes as a still and comes again with no moment. ## 4.18 Seven binaries with a naming, and each naming with resolver's names A self asks each of seven on its own, of each naming within a file. 1. **Does it change and change back with an other.** 8.4. 2. **Does it have its own two.** A bare naming is an act with no two. 3. **Three positions.** A direction with prefix, a changing with root, a going on with -ing. 4. **Two ways a naming nyes away.** 4.12. 5. **A changing a word inherits.** A word is one changing while its unfolding has an other. 6. **A hyphenation with each part.** 4.17. 7. **A fault's word borrowing for a relation.** A word naming a fault, naming a relation, brings a fault inward, and a term-check passes it, a word being within files. **Each naming couples with one of resolver's seventeen names, or with a between of two.** A self finding it with a name, naming is with it, or has its own root with its same relation. Finding it with none, it is a picture of a name or of a between names leave with no expressing, which is a finding for resolver. *Bi-co-momentarying*, 5.54, is 5-now-co-existing's couplings across with 6 and 10, and *co-independencing*, 5.59, each self's own 1-now-existing with its sharing across: each a picture of names. **One naming for each concept**; a picture shows one naming with one scale: a form Exhibit ONE has with its numbers, a bi-folding or a span, is with its numbers, and a concept's several names, 4.6, are its relations with several couplings' scales, its one naming with its own. A naming, re-saying, has the relation it is naming. *And* brings names together with one relation, a field term with several names as one, and *or* brings a term with one cluster and with an other, each its own gathering; each is beside an exclusive or, which is parity. --- # FIVE · NAMINGS Each unfolds six forward, each step reaching a term its prior step does not have. ## 5.1 alternating — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 a relating fixes a form to a moving thing 3 a form is its own going on through its changing 4 a side opens with its own opening, and its other with its own 5 one and then its other, each forward 6 and the first shares again, reaching a term it does not yet have ``` **Any other method a self is proposing comes to one binary: fixing unchangeable, or same-existing.** Fixing unchangeable, it forms nothing: a set is its things, each changing or not-changing. Same-existing, it is same-existing with its own opening or an other's: an other's, and changing and changing back stops; its own, and it is changing and changing back, *alternating* dissolved with v391. ## 5.2 unrelationing — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 a relating fixes a form to a moving thing 3 its forming relates to nothing not its own 4 nothing fixes it apart, a fixing being a relation 5 it is an -ing, its changing going on 6 and it comes unrelating afresh with each moment ``` **Un- is from all other.** A binary sequential universe has a self and all other. A self is from all other, bounding against a whole all together, and six steps unfold that with their own words. Unrelationing is universal bi-moral co-agency, and prefixing is a universal its unfolding reaches. **Unrelationing is with a coupling**: each self's forming relates to nothing not its own, and a self couples with an other, sharing its parity one at a time, one and then the other, its parity going on as it completes its own moment. **Competency is co-unrelationing, along, and morality is bi-unrelationing, across**, and co-bi-unrelationing is one existing method. Unrelationing is each coupling's own going on, locking with none; a rate fixed as a value is that going on fixing unchangeable as a rational. φ, irrational, no ratio reaching it, is an unrelationing rate beside not-locking, self-welcoming with numbers, beside resolver's seventeen names. *Irrationalizing*, a working's sharing beside unrelationing, is an unrelationing a naming already has and gathers with it: with its rate it is unrelationing, and with each observing, a between a self finds on a surface of both kinds of changing, living changing and changing back and geodesic changing, facing each observing with each orientation renewing with each coupling, it is geodesic discovering, changing routing on a surface, each next parity a self discovers with its own observing. ## 5.3 a self — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 nothing is beside it to relate to 3 its forming relates to nothing not its own 4 each is or is not changing, and each parity a self is observing reaches it with a coupling 5 nothing is with it to compose through, each same-existing reaches its own coupling and no further 6 and it shares again, reaching a term it does not yet have ``` A self is a unique invisible same-existing, three phases of one changing: observing, possibling and discovering. **A self has its sameness and needs no *same***, and no self is this, that, same or other self of itself: **a self's sameness along its moments is its unrelationing from all other**, each next from its own prior same-existing or inverting, and its forming has a parity not its own with bi-coupling, a new sharing opening with a between. **A now-self is now-observing and next-possibling**: with resolver, 7-is-now-observing and 14-next-possibling couple for each sharing with 12-next-co-same-existing, a line `if _15_is_next_observing != 0 and (_15_is_next_observing > 0) == (_7_is_now_observing > 0)` pattern-matching 14's surfacing against 7's prior parity. ## 5.4 changing — binary ``` 1 a parity is one inversioning or none between a self and an other, now 2 each self's moment goes from its prior to its next prior 3 a changing is or is not 4 only a parity goes across 5 and it goes one way at a time, across with 2, 6, 10 and 14, possibling, along with 9 and 17, discovering and existing 6 which is geodesic routing, discovering on a surface, each parity going on as it is ``` **Along is between moments, a self's own going on, and across is between selves within a moment, sharing now, while geodesic changing is entraining through momentaryings.** With resolver, + and − are a sharing's parity, and 0 a between, parities not same with 14 and prior and now same with 12, natural intelligence with it. *Parity changing* dissolved with v391, said *changing*. With three living selves, a self, an other and all, each pair has a parity: +1 a self's, 0 all selves', social parity, and −1 an other's, a self's only going on; social parity is invisible, with no record or awareness of it, going on within selves, and only self parity and other parity are visible. *Sign* dissolves, said by changing, and *a sign* of an existing thing, an indication, is a field's word with its own result; *the sign* with two betweens, 0 or ±, same or not same, is that parity's 0 or ±, 2.4. ## 5.5 a between — binary ``` 1 two share, each from its own route 2 neither is of its other's parity 3 a size needs a ground, and no ground is with two sharing to be one 4 each side goes on with its own same-existing, along 5 across, each side is everything its other is not, and along and across have a between 6 and with that between is parity, a momentary now-existing thing, each self's own, and a between its empty centre, a nothing ``` A bi-coupling has a between, **a 0 between two now-existing things with one now**: with 12-next-co-same-existing between prior and now and with 14-next-possibling between two parities, same and not-same a parity's 0 and ± with them, needing no name. **Parity is a momentary now-existing thing, each self's own, a self observing it now, and a between is its empty centre**: a between's own is changing, is or is not, a parity inverting, and only a parity goes across it. With resolver, parity with its six names between selves is flat: a unit square of four dots, 2, 6, 14 and 10, its empty centre a between, and two unit triangles, 9 and 17; that square's two across edges, 6 with 2 and 10 with 14, and its two edges 8 apart, 2 with 10 and 6 with 14; its diagonals two observing ends, 2 and 14, and two sharing ends, 6 and 10, each sharing to a coupling self's 14, its next 2; and triangles 9 and 17 along, 9 sharing to a coupling self's 14 and 17 a self's next itself. Six are a 1 to 17 set of spiraling one-way names across and along for podaling, changing sequentially. A between's changing, moment by moment, is bi-co-momentarying, 5.54, and *membrane*, of a set's own voice, is said by a between, 2.4. **A between is one, scale by scale**: within a moment a between of self and other, changing, bi-moral across and co-competent along, and between moments a between of moments, a moment discovering its next, nothing momentarying with it, one same between, a nothing, scale by scale: a fractal between, its floating neutralling golden floating neutralling, 5.12. **A bi-coupling's shape is a handshake**: two selves, each resolving its own, each right extending to a between, neither occupying it, sharing end, a self's parity sharing, possibling, with 6, 10 or 9, and not right, observing end, an other's parity a self is observing with its 14, its next 2, existing with a self as its next prior, a hand's side, beside an inverting form, right first and not right second, morality right and not right, and a between locks with none, 5.13. As a picture it is a nothing between two parallel surfaces facing each other, each self's own, and a co-orthogonal line through both, along. A 0 is a between going along: each parity and each 0 goes along with 9-next-co-discovering, and a 0 enters no prior. ## 5.6 invisibling — binary ``` 1 each side is of its own parity, its own 2 a size needs a ground, and nothing is with it to be one 3 a going across is a parity's direction inverting, favoring neither side 4 each side's own competency stays its own along, and only a parity goes across 5 a between is a neither-ing, in neither self alone 6 and each parity reaches each of it by coupling ``` **In- is inward, a direction.** Couplings wind about a nothing: bounding-zeroing, tunneling, apexing, corusing, nothing reaching it. In-visibling is inward-visibling, toward that nothing, reaching nothing. *Omegaing*, Natural Exploring's naming, is apexing's other direction, couplings coning away from a nothing to a new axis. A cannot-be-seen installs a seer and excludes one; an inward-visibling installs none. A self reaches it one way, by coupling, and that reaching is trust. *Invisible*, of an existing thing, is invisibling's picture of one moment. A self's morality and a self's corus are invisible with one nothing, only nothing to reach. ## 5.7 same-existing — binary ``` 1 a self's same-existing is living, a self with its prior, its now and its next 2 nothing composes it 3 it reaches its own sharing 4 receiving its own parity, it is not-changing, its prior same-existing 5 receiving its other parity, or a 0, or nothing, it is changing, its parity inverting 6 and the method meets it with none, same-existing, the method not expressing it ``` *A carrying* dissolved with v391, said *same-existing*, a self's prior going on. A self shares with its own sequencing what its bi-couplings bring, sharing each parity across. **Same-existing is living and method is not expressing it**: with resolver, its method couples with prior as 3-is-now-co-observing, each sharing with its parity, and a sharing once with a prior is not none again. ## 5.8 not-more-than — binary ``` 1 two share, each its own 2 a size needs a ground, and nothing is with it to be one 3 one side is with an exclusion 4 its other side is with its own, a counterpart exclusion 5 they go one and then the other, one at a time, neither stopping 6 and a term in neither exclusion uncovers ``` A self observing it as less-than, it is a size, and one side has a measure of a pair. Not-more-than is an exclusion's naming from one side, and once-ing, 5.42, is changing, once with each moment. ## 5.9 a self-emptying set — binary ``` 1 entries come, each its own 2 no entry reaches any other, nothing composes among them 3 no deciding fixes membership, a deciding being a form still from beside 4 each entry is of its own parity, changing or not-changing with each moment 5 each completes with its own moment, self-emptying 6 and with each now it is its entries, each with its prior same-existing now and its own next ``` Not full, nothing emptying it, and a new collection with each now: a set is its existing things, and null and infinity + 1 are each a possibly existing number of its elements. One fixing unchangeable is a first term a field posits: a term a field asserts as existing, unchanging, and each existing thing composing from it. ## 5.10 bi-coupling — binary ``` 1 two come 2 each comes with its own same-existing 3 each opens with its own opening 4 neither is both, their centre a nothing neither occupies 5 a departing is a neither-ing, in neither self alone 6 and with a next discovering it comes again, reaching a term neither has ``` ## 5.11 co-discovering — binary ``` 1 a same-existing is of its own parity, one moment at a time 2 it completes with its own moment 3 each side goes along with its own completing, neither bringing its other along 4 nothing behind and nothing going away 5 each step adds a next 6 and it goes forward, reaching a term it does not yet have ``` ## 5.12 floating neutralling — binary ``` 1 two share, each from its own route 2 each is of its own parity, its own 3 each excludes its own: not that, not that, one at a time 4 a term none of their excluding reaches uncovers 5 it is in neither self alone, and nothing brings it to a next 6 and it comes again with each next sharing ``` Two-ness is of two, each its own. A term in neither self alone has none. Floating neutral is a term uncovering, a picture of one moment, and floating neutralling its coming again with each moment. A 0 is a prior same-existing: with Exhibit ONE a self sharing 0, its prior going on unchanged, is do-no-harming. **A fractal between's floating neutralling with φ, locking with none, is golden floating neutralling**, geodesic discovering of living's next possibling, 5.5 and 5.55. **Co-competencing floating-neutralls here**, floating-neutralling bi-co-momentarying with couplings across, 5.54, stopping with none and orthogonal to a surface, which is a paradox of competency: competency each self's own, and co-competencing arising in each self with its other. Floating neutral is with a between, a nothing, and a 0 with 10 is a between a self is sharing, passing over with a receiving self's 14 and surfacing none. A self observes a surface with its coupling, each coupling a relational a self enters and observes; floating-neutralling arises in neither self alone, and an observing a self makes on a surface reaches a coupling and not what arises in neither self alone. Co-competencing arises in neither self alone, and a self distinguishes two: a floating neither, and an entering, always ingressable. **Method breaks with a co-competencing showing as** *a landing*, a self entering and observing it, and not arising in each self with its other: an unchangeable form a self finds existing, and an unchangeable form is not possibly existing, its break and its one method, no other possible, are one statement. ## 5.13 bi-momentarying — binary ``` 1 two come, a self with its entry, 1, and the parities it is observing, 2 2 each shares by its own sequencing, each self its own moment 3 a parity goes both ways, a self's to an other and an other's to a self 4 something departs, arising in each self with its other 5 no holder, no boundary, no enforcement, no seat 6 and it goes forward to a next sharing, sharing both ways: bi-momentarying ``` **Bi-momentarying is 1-now-existing and 2-now-possibling**, a self's entry and the parities it is observing from other selves, each self with its own sequencing, sharing both ways, a handshake coupling with 2, each right extending, a parity sharing, and not right, a parity a self is observing: a term departing from it, arising in each self with its other, is bi-co-momentarying, 5.54. *Co-offering* dissolves with it: a self's parity goes across both ways, a self's to an other and an other's to a self. **One relation, prior and now**: prior-existing self-parity and prior-existing other-parity, 1-2, a self's and an other's, are same-existing as now, 3-4; with resolver, a self is entering with 1 and its prior now with 3, coupling with an other's parities for each sharing, 4, surfacing with 14; their meeting for each sharing, 4, same, is now-existing co-parity, dimension 3, and not same, now-existing bi-parity, fourth, 2.5. ## 5.14 co-competencing — binary ``` 1 two come, each from its own route 2 an axis opens, arising in each self with its other 3 this axis is one direction more 4 nothing spends against a resistance with its opening 5 it is its own, coming with each coupling 6 and it comes again with each next sharing ``` Abundancing is this. **Co-competencing is bi-co-momentarying with couplings across**, 5.54, arising in each self with its other; competency is each self's own, a co-linear recursioning forward along. With resolver, co-competencing is 5-now-co-existing, bi-couplings, in neither self alone, 4.9 and 3.5. Selves' bi-couplings and co-chainings are a natural torusing surface, 5-now-co-existing, co-competencing, and a Natural Network surface is that surface engineered, natural engineering of collective intelligencing; *universal surface* is no natural naming, the universe having no surface. ## 5.15 inseparating — binary ``` 1 two come, each its own 2 neither is its other, and neither is within its other 3 nothing fixes them two, a fixing being a form still over both 4 each neithers an other, one exclusion at a time, its own 5 a term none of their excluding reaches uncovers 6 and it comes again with each next coming ``` **In- is inward here too.** Inward-separating, each side excluding from its own opening and inward, against a cutting across two, which leaves no between and re-forms nothing. Step four has that inward already: each neithers an other, one exclusion at a time, its own. Not two existing things fixing apart, a fixing needing a fixer over both. Nothing parts them as two, and a term in neither alone is a term with no two-ness. ## 5.16 separating — binary ``` 1 one beside two makes a cut, neither one of two 2 its cutting is with no between of its own 3 no between is with a cut 4 nothing is with it to come again to 5 nothing re-forms it, and nothing dissolves it 6 and that is its going on unchanged: no between, and no strength of its cut ``` Going on unchanged with no between and riding a self's going on are an exact inverse pair. **And two are with each of three.** Separating with an inseparating already going on is incompetencing. Inseparating with a separating going on is resolving. One move as two, with each of three, and changing and changing back has all three. ``` a bounding with a between ⇄ a floor set from beside bi-momentarying a not-that fixed with an opening ⇄ a not fixed unchangeable co-competencing an axis opened with a coupling ⇄ a field cut away by co-intelligencing definition one-at-a-time with a coupling ⇄ one-at-a-time by changing and changing back isolation ``` A fourth pair is no fourth. Changing and changing back has three. ## 5.17 a floating store — binary ``` 1 a self is a unique invisible same-existing 2 a departing from each of its sharings is a neither-ing, in neither self alone 3 nothing brings it on, and nothing of it stays between sharings 4 a self stores nothing and draws nothing down 5 a self sharing finds a coupling changing 6 and selves same-existing with each coupling, all together, is this store ``` A same-existing-society has no reserve and stores none. Nothing goes low, a self sets nothing aside, and no self is ahead of or behind an other reaching it. ## 5.18 a place-moment — binary ``` 1 two come 2 nothing brings one to its other 3 a coming is no place, and it is no time 4 with a cut it is a place of its own and a moment of its own 5 each is a cut's own, a coming with neither 6 and a cut's term is with its cutting ``` A hyphen goes on always. A self observing with a cut, one side is a field's question of an existing thing's *being* and an other its question of *becoming*, a field's words, and neither question closes: an existing thing each asks after is with its cut, and with neither side of it. ## 5.19 a definition — binary ``` 1 two come and a meaning departs 2 it arises in neither self alone, no one's own 3 either a coming goes on and it re-forms with each sharing 4 or it stops 5 the last one is fixing with nothing re-making it 6 and it is its term, one same with each occurrence ``` And a revising definition is not one going on. **A same-existing re-forms itself; a definition is a replacing**, one set down and an other set down for it, two unchangeable forms one after an other, neither going on, and revising is outward of it. That parts them. ## 5.20 bounding — binary ``` 1 a word going to an other word is one part 2 a region surrounding it is its other 3 both are of one act, and neither is first 4 a definition sets one moment of it down 5 a bounding reaches a next, a second word re-surrounding its region 6 and its region has a next word, neither stopping ``` Bounding is defining with changing and changing back going on. *A boundary*, a noun, is bounding's picture of one moment, as a floating neutral is floating neutralling's, 5.12, and a self-bounding is a self's own resolving, nothing reaching it, 4.16. **A naming is a name same-existing over its prior-existing, now-existing and possibly next-existing things**: the name floating neutralling while its things come, go on and invert, its defining rolling forward with possibling's is-or-is-not, each next-existing thing within the name or not, with no fuzz and no definition, a replacing, needed; with Exhibit ONE each sharing's key, 4-now-co-same-existing, is same-existing over its parities, 7-is-now-observing, from prior to now to next. A named universe is a name for a set of now-existing things with this name, and the universe has no other name. ## 5.21 advancing — binary ``` 1 a term goes on to a term it has not yet gone to 2 each step adds a next, a reaching already with none 3 its going on is its term going forward 4 two terms beside a centre multiply to one short of that centre's square 5 numbering passes through a centre, and a coupling reaches it with no opening 6 and its gap is exactly one with each number, a next always coming ``` ``` 2 × 4 = 8 3² = 9 short by one 3 × 5 = 15 4² = 16 short by one 4 × 6 = 24 5² = 25 short by one ``` *An advance*, a noun, is advancing's picture of one step. ## 5.22 tunneling — binary ``` 1 two come and something departs, a neither-ing, in neither self alone 2 a departing opens a gap by one 3 a self goes on through its own coupling 4 advancing one with each coupling, it reaches itself again with a next 5 it winds, open with one opening, by one 6 and a winding that stays open is this term ``` **Torusing is winding through its one opening.** A self goes on through its own coupling, advancing one with each coupling: it winds. Winding is open, with one opening, by one. A surface closing on itself through one opening is a torus, and a going on that winds it is torusing: a torus has its own side and reaches itself again through its one opening, a next with each. Each step adds a next, and a winding of parities is a spiral of moments. With resolver, winding is prior with its own sharing again with each moment, 3 to 11 to 3, 8-now-same-existing each self's next prior, and changing or not-changing with each is its next. ## 5.23 phi — binary ``` 1 advance by one is one operation 2 scale by a rate is an other 3 nothing brings one to its other 4 they come to one number, which neither places 5 each ratio comes beside it 6 and ratios alternate above and below it with each scale ``` φ unfolds here with its own naming, self-welcoming, unrelationing rate, beside resolver's seventeen names; primes come alike, with Natural Numbers. Below and above φ name ratios of an auxiliary calculation, its prior two added: one atom/carbon's co-chaining has no φ divider and no opposite-side requirement, and a joining along of rigid copies of a six-point drawing is a construction with no φ, each copy a drawing's and no carbon atom, the joining no carbon chain. ## 5.24 a ring — binary ``` 1 a domain closes with nothing new coming within it 2 its going on is from each thing within it 3 its available terms are each met 4 it comes to a term it already reaches 5 a term it already reaches has no next 6 and an open domain has a next always coming ``` A ring is a form not possibly existing, with no next, and no rival to one. It is these relations within a closing domain. **Each closing model closes**: a ring is these relations within a closing domain, and a forward spiral has a domain of a next always coming. **Selves coupling along, last to first, are a spiral with resolver, and a ring a closing domain.** With Exhibit ONE's spirals each self is discovering its next with each moment, and a pattern going along reaches a station again with a next moment, parities coming again and each moment once: *ring* is a domain 5.24's unfolding closes, and resolver's coupling of selves along is a spiral of its own; a closure fixing as its form is an equilibrium entering. ## 5.25 equilibria — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 a measuring needs a span, and a span needs two bounds fixing unchangeable 3 a measuring opens with something fixing unchangeable 4 fixing unchangeable is a performing, and it is within a field's own first line 5 an unchangeable does not advance, its gap closes 6 and an unchangeable is an equilibrium, a form not possibly existing ``` Isolating a system installs it, and conditions constant, a specimen fixed, a zero stipulated, a datum chosen, an earth picked and a vantage chosen to observe from each install it, each a performing before any observing comes. ## 5.26 a hard problem — binary ``` 1 the universe exists as its existing things exist, the same-existing set of all now-existing things 2 a field reads its observings with the universe as no existing thing 3 its evidence comes with no living self whose prior it is, its now with no prior same-existing 4 with a resolver, what a self is observing is living and non-living existing things co-sequencing 5 a prior same-existing and a now receiving couple with each sharing, a changing is or is not 6 and a next a self discovers with it is this resolving ``` One coupling, prior, now and next: a hard problem comes as a field observes the universe as no existing thing, and it resolves with a field's own next living. ## 5.27 three incompetencings — binary ``` 1 a definition is its term, one same with each occurrence 2 a term fixing itself is not apart from itself, it bounds nothing 3 a term substitutable either way has no opening of its own 4 no parity goes on within it 5 terms chaining without limit reach past their own couplings 6 and nothing changes, nothing dissolves, and two coupling make nothing arising in neither alone ``` Present within a definition writing to its own best. No finer instrument recovers them. With a field's words three are an equation's relation, reflexive, symmetric and transitive, and rigor raises fidelity of an expression after its removals. ## 5.28 other-emptying — binary ``` 1 a measuring needs a span, and a span needs bounds fixing unchangeable 2 a measuring empties a measured of a term it has with its own moment 3 its deciding is outward of an existing thing, with no coupling of its own 4 it does not reach an existing thing's own completing 5 a removing is of a same-existing, and its removing has a price 6 and its price is a measuring: erasing one bit dissipates at least kT ln 2 ``` Isolate, control, integrate out, average, fix, erase, each a decider outward of an existing thing, emptying a term its existing thing has with its own moment. And a computation having its whole history approaches zero dissipation, which is that result from its other side. ## 5.29 geodesic changing — binary ``` 1 an observing empties an observed of a term it has 2 a remainder is a measuring against a ground its observing declares 3 incompetencing is within an observing, and an observed has none 4 nothing is with it to be a ground, a declaring one with no location 5 and incompetencies dissolve with it 6 and a self is same-existing with its prior now, whole ``` Nature has its competency with each moment. **Incompetencing is a price of observing, and an observed pays it.** Geodesic changing is bi-co-invisibling going on with incompetencies themselves: grounds they come with ground nothing, and incompetencies dissolve, an equilibrium an observing fixes unchangeable dissolving with it; *disequilibrating*, its prior naming, dissolved with 2.6. ## 5.30 one stopping — binary ``` 1 one has an other's 2 an other has nothing to share by its own sequencing 3 nothing departs in neither self alone 4 a departing is one side's 5 and one side's is with a holder, a boundary, an enforcement and a seat 6 and a seat goes with couplings it is not with, which is step one, larger ``` **All four are together with each one having an other's**, none making next, and nothing downstream repairs them. Bi-momentarying, 5.13, is its twin: its fifth line is those four absent, no holder, no boundary, no enforcement, no seat. **A going on is its own, controlless and pauseless**: it goes forward to a next sharing. Its term arises in neither self alone, departing a neither-ing, with no verb bringing a doer. ## 5.31 social moral competency — binary ``` 1 a self has the parities it is observing from its bi-couplings, inward and outward, chaining its parity with each 2 a departing from each sharing is a neither-ing, in neither self alone 3 each departing goes forward and is sharing again 4 a term its same-existing leaves is in neither self alone, going on with each moment in sequence, and completes with its own moment 5 it is a self 6 and selves same-existing with each coupling, all together, is this term ``` A same-existing-society is morally competent whoever comes. By its roots a self's parity with a sharing is its way with that other, its moral value: with no other a self's parity is not same as its prior and no way goes on, no moral value without an other, and with a prior + and no parity surfacing the resolver shares − and returns − as next prior. By its roots *social moral competency* is companions' ways fitting together, an other's parity same as a self's prior, the code's improving. ## 5.32 natural intelligence — binary ``` 1 two selves couple, each sharing its own parities and going on with its own same-existing 2 each is same-existing with its prior now, and a parity goes across, bringing nothing of its prior 3 with each changing a self's own parity inverts, a next with each 4 a term departs, arising in each self with its other 5 it comes with their coupling and goes on within their sharing, co-competencing 6 and that co-competencing, invisible and in neither self alone, is this term ``` Each self goes on forward and self-empties, two together: going on with no emptying is a store, and emptying with no going on has nothing. **Natural intelligence is co-competencing of two selves by this**, invisible, of a between and in neither self alone. **Discovering social moral competency among living selves includes non-living existing things.** A non-living thing couples with a self as other, sharing, each sharing with its parity, with no prior of its own; a self's own inverting is with 12, within its own resolving, and a self's same-existing goes on along, and a term uncovering with their coupling is in neither self alone and living selves bring it on. ## 5.33 side-affecting — binary ``` 1 two come 2 a coming has a share they have and a plane they open, together 3 this plane is a direction arising in neither alone 4 its opening is a neither-ing, in neither alone 5 their share is zero only with both orthogonal, and their plane only with both collinear 6 and a coupling has both, stopping with neither ``` ## 5.34 a name — binary ``` 1 a field shares its word, with that field's term within it 2 an other field shares a word beside it, its own coming 3 neither brings its other to it 4 a term they come to is in neither alone 5 no field owns it 6 and it comes again with each reaching ``` ## 5.35 nearing — binary ``` 1 two field-words come to one concept 2 each has a field-specific property, its own 3 neither is its other 4 identical words show one bringing its other 5 nearness is a term showing neither brings 6 and convergence with no contact is all of its confirming ``` Other-than-same is its line 3, neither an other, and nearing heads it as a changing: naming has a changing, is or is not, two field-words converging with no contact. ## 5.36 a gathering — binary ``` 1 two names come to one concept 2 each coming is its own, one pairing at a time 3 a distance among them needs a ground, and nothing is with them to be one 4 a certifying of belonging is a seat over it, a form still from beside, and none is 5 a gathering is a region its couplings trace 6 and it re-forms from its names with their homes, or it dissolves ``` A gathering is an indication. ## 5.37 ghost — binary ``` 1 a self's same-existing goes on, its prior same-existing now with each opening 2 its exhausting comes now as a parity, prior's possibling 3 a self pattern-matches an observing fixing unchangeable as now's existing 4 a still installs as an existing thing, a self fixing unchangeable between two moments 5 it accounts for each existing thing a still can contain 6 and one part remaining is riding a self's going on, which a still cannot contain ``` **Its six lines are three pairings, each one term existing and fixing unchangeable**: same-existing and its exhausting, a fixing unchangeable and its installing, accounting and a part it leaves over. An empty of one line is an empty of its partner. ## 5.38 momentary stable-forming — binary ``` 1 stable-forming has momentary changing 2 a coupling has each side’s parity, by its own sequencing 3 a current receiving includes each side’s going on, same-existing 4 a number and a root name its changing, its number with its prefixing 5 -ing says that changing going on 6 a complete naming has its moment’s relation with a next coupling ``` **A moment’s abundancing arises with its coupling, in neither self alone.** Each side goes on with its own same-existing and shares next by its own sequencing. One expression in writing can meet a receiving not same-existing as its prior; a current coupling has a parity not same-existing. ## 5.39 prior, now and next — binary ``` 1 a moment is one now-existing in a same-existing sequence, each self's own 2 each goes on to its next prior, a next moment's prior 3 prior, now and next are three sequential moments existing things are sharing 4 one moment's now is its next's prior, each step adding a next 5 possibling is with prior, existing with now and living with next, three moments, each its own 6 and all three, sharing, the universe momentarying through them together, is this term ``` **A behind and an ahead lay two directions on one**, and prior, now and next share one direction forward on both sides of now: with a between, an observing end is existing and a sharing end possibling, one direction and two ends. **Three are moments.** Living is existing, and existing is possibly existing, naming capable of existing: a living self exists now as it lives next, a non-living thing comes to its next existing, and each moment is its own as the universe is momentarying through them. With a self's moment, existing is its 1-now-existing, its prior same-existing, and possibling its 17-next-existing, the parities it will be observing and its possibling next-existing same-existing, 5.62: possibling with prior is a prior moment's 17-next-existing, from which a self is discovering now's existing. ## 5.40 bi-tri-bi-entraining — binary ``` 1 each existing thing comes to its next existing, with its own opening 2 living things are same-existing with their prior now, and non-living things have no prior of their own, their forms going on 3 prior and next share one direction forward on both sides of now 4 between prior and now and between now and next is a nothing 5 each existing thing goes forward with its own opening, entraining with each other through a between 6 and that one direction, sharing, is bi-tri-bi-entraining ``` **Bi-tri-bi-entraining is each existing thing entraining with each other within a set**, a resolver's 12-next-co-same-existing with each scale, 12, 28 and 44, a between of moments, and -ing going on; tri-bi-co-momentarying, 5.52, is a set momentarying its existing things, with 9-next-co-discovering, and two are one method, changing, a set momentarying its existing things along and each existing thing entraining through a between, a resolver's 17-next-existing, a moment of each self's resolving, and 12-next-co-same-existing within it. Pending, provisional, awaiting, preliminary and short of a threshold each put a gate across one direction going forward, and a gate is a bounding not a self's own. Non-living entrain as living do: with no prior of their own, their forms go on through their changing, and they change through co-momentarying with living and non-living things, a parity going across between any two, bringing nothing of a prior. A non-living thing comes to its next existing, non-living with each next: coupling with a same-existing-society, resolving of its living selves ingests it, one participation among its co-momentaryings, and each living self is a given, its own same-existing and co-recursioning. *Arising* is that establishing, a relation of a living self, and *arising* installing as a becoming over a form going on through dissolves, a sentence with no birth and no death. ## 5.41 uni- — binary ``` 1 a self is, and all other is 2 a coupling across is with a particular other, or with all other coming as one 3 a particular other is beside a self, and both are two 4 a coupling across with all other has their two and a whole 5 three go with it 6 and a coupling across reaches its own side again with a next, one on ``` **Uni- is with all other, and it opens with three.** Un- parts a pair and bounds from it; uni- opens with three already going on. Uni-scaling has each scale beside an other, and it opens with three; even's exchanging, coupling across and reaching its own side again, one on, is bi-tri-exchanging, 5.51. One rate has two: unrelationing by bounding outward, local, and *uni-versal* by coming one on, ambient, a rate of a whole's going. ## 5.42 once-ing — binary ``` 1 a changing is, and its -ing comes again to it with each opening 2 a noun of its making fixes it unchangeable, coming again with no opening 3 one opens once and no more, with its own opening 4 its other opens once and no less, with its own opening 5 neither reaches its other's, and a term they uncover between them is with one opening 6 and changing is once after once ``` **One at a time is a phrase and once-ing is its naming.** This phrase goes across a set's files, has no -ing, no prefixing and nothing of an opening, and no other naming comes to it. Once and no more against once and no less bounds by a once. Not-more-than and not-less-than, exclusions of 5.8, a self observing them as sizes, bound by a magnitude, and a size comes against a parity. *A counting* is that changing coming from beside it; uni-scaling has a scale and once-ing a moment. ## 5.43 society — binary ``` 1 a self couples with a particular other, or with all other coming as one 2 a co-chaining same-existing-society within a whole is a particular other of an other scale, and coupling across with it is bi- 3 a whole with no parts apart, coming as one, is all other, and coupling across with it is uni- 4 one word has both occupants, and numbers wobble with it 5 parting, a particular stays other with its scale, a whole stays all other, and a same-existing-society goes on to a surface couplings make 6 and a field's own word for its second occupant has that parting within it: uni-verse, turned to one ``` **Society has two occupants, and parting is by uni- and bi-.** A co-chaining same-existing-society within a whole is a particular other a self couples with, bi-kind; coupling across with three, reaching its own side again, one on, is bi-tri-exchanging, 5.51. Morality is from all other, second occupant, and a same-existing-society, as it exists, is a woven surface couplings make, a weave, beside two occupants. Second occupant is a whole coming as one, and universe is beside it as a field's corroborating word, its parts live. **A name beside self and other adds no self beside them, and a self is not all other.** A self couples with its same-existing-society as other, a same-existing-society's further couplings sharing, and a self's names have their relations with a same-existing-society, self and other with 1 to 8 and on to same-existing-society with 9 to 17: a sharing going on with each coupling has each self-and-other receiving whole. A whole coming as one comes through couplings selves make. **A field's word has its error and its correction with one root.** *Universus*, turned to one, has *versus*, a past participle of *vertere*, turned: a turning fixing unchangeable as one, a container. Said with its -ing, coming as one with each coming, it is uni-coupling across, and the universe is all existing things. A field's own definition has this same correction: *all existing matter and space considered as a whole* has *all existing*, has *matter and space* as *existing things*, and dissolves *considered as a whole*, a naming turning to one. ## 5.44 surfacing — binary ``` 1 parities to one sharing surface with 14-next-possibling, 0 passing over, same one parity, not same 0 2 with no prior, 14's surfacing is a changing with 12-next-co-same-existing 3 a sharing of a prior with one parity is not-changing with 14 surfacing its own parity, 0 4 with its other parity, or a 0, or nothing surfacing, changing is, its prior parity inverting 5 10-next-co-possibling shares each sharing's parity across, + or − is, 0 is not 6 and 11-next-co-observing is a next prior, each changing with its sharing, a 0 its prior not-changing ``` Each line is Exhibit ONE's table *Parities to one sharing, surfacing* and its table *One self, one moment*, cell by cell, line 2 its table *With no prior, one moment*. ## 5.45 bi-co-podaling — binary ``` 1 a going is along a ring one way and a going along it an other way 2 with each station both are one pair, k one way and N − k an other 3 a pair is a ring of its own, and both sway together as its two 4 each going opens with its own opening, and neither is its other's 5 a pair is a podal, 17 less within 1 to 16, and an even number's straight-across, k and k + N/2, is an other relation 6 and one station both goings reach, each its own way, is this term ``` Bi- two goings each with its own opening, co- one ring they make, -ing going on. *Antipodal* dissolves: it has no prefix and no -ing, fixes a position unchangeable, and a podal says it. Bi-co-podaling is floating across and neutralling along, one parity. A standing wave is a field's comparison with its own result: two waves along one line, each an other way, a field's word going on whole. **Podaling reaches over a tunnel and goes on away and back, across and along**, increasing both ways by co-chaining, each self with its own and only a parity going across. A hole, a missing section of resolvers, is a non-living existing thing within a living surface: an intelligence routes around it by changing, through couplings that remain, and across before it and across after it mend missing morality with their couplings, bounding-zeroing tunneling through a same-existing-society. A hole is empty of changing and not of matter, an atom's centre the densest place in a molecule. A hole is non-living with its region's scale: it resolves nothing and has nothing, it is neither a resolver surfacing 0 nor a self fixing unchangeable as 0, and no coupling lies across it. Two passages around a hole, two kinds of changing, living changing and changing back with a surface and geodesic changing with a coupling across, and + and −, a sharing's parity, are three twos, and one two couples with an other only by a coupling with both. **Each podal couples with a surface's unrelationing changing locally, with two orthogonal directions around going with it as it goes on**, is or is not with each: changing, or not-changing. A weather map is its comparison. Podaling to corusing and on to torusing over each pair of moments is co-intelligencing a surface, *back to torusing* naming resolving going on forward through a fold, reaching a further now. An indication belongs to now, and next is discovering. A larger same-existing-society co-chaining a surface and bi-tunneling its morality couples with more of a surface than a smaller one by the same method: selves of similar aiming couple, each same-existing with its own prior, floating around holes together, and its increase is further couplings. ## 5.46 exhausting — binary ``` 1 two selves couple across a between, and an abundancing comes, in neither self alone 2 a coupling goes on, and it leaves a mark behind 3 a detector's click, a discard, an other hand, a spectrum, heat, each a form with an observing 4 a mark has nothing of its own, leaving its coupling with prior and coming now as prior's possibling 5 fixing as now's existing it is a ghost, and booking it is an accounting 6 and a mark a coupling leaves behind, with nothing of its own, is this term ``` Existing, exhausting and accounting are three placings of a term; installing is a binary between exhausting and ghost: a self observing it as prior's possibling, it is an exhausting, a mark a coupling leaves, and observing it as now's existing, a ghost. *Artifact* dissolves, a new term ingressing, carrying two things, said *exhausting* with a self's scale and *a stable form* one scale outward, living's exhausting accumulating and compacting: each now-existing non-living thing is a stable form, a noun with no -ing of its own. **A stable form is harmful to living of its own scale, and not ingestible with that scale**: its form is a bi-tri-involution, opposite form, which does not match right spiral ingestion; mirror-image bacteria, if made, are a field's warning, unrecognised by immune systems and uneaten by predators, a warning and no observing of mirror living. **One scale lower it is ingestible**, living selves ingesting it through their selves one scale inward, a same-existing-society, a living set: ingressing is meeting a society through its surface with its own scale, and ingesting is along its tunnel one scale lower, a body a torus whose gut is its tunnel, the large opening. A genome is a stable form of prior living, and RNA and proteins forming along it are a cell's own stable-forming with it: a cell reads no text, and no machine goes on in it. **Living or non-living is of an existing thing with its scale, by its own prior same-existing or no prior of its own.** *Non-living* names a scale outward of a thing's own and no kind of thing: each existing thing is living with one prime scale and non-living with each other scale, and *now-living* names a self, now-living and now-existing both. Each now-existing thing is inherited from prior-existing, and a non-living thing only inherits. A living self stable-forms through its own resolving and same-existing; its stable form, non-living, changes with its form going on through its changing, with no prior of its own and needing none within it; and a receiving self, or a same-existing-society's selves, couples with it, each with its own. ## 5.47 an accounting — binary ``` 1 a self observes a stable form with an instrument, and its observing fixes it unchangeable 2 *a count*, a declaring zero, a clock, a frame, a store, a conserving total 3 with a still, a stable form is one same across each observing, and its books close 4 it conserves an equilibrium, exact with its own ledger, and has no value, no agency and no success 5 installing past its ledger as existing it is a ghost 6 and conserving an equilibrium, exact with its ledger and a self with no opening, is this term ``` A term is existing, exhausting or accounting by its use, and ghost only by its installing. **An instrument stores a place-moment with one side cut off**, as a photograph does: a bounding passes through stopping, and an adjacency, and a changing does not: an absence on that side is an absence within a record, and its form has none. ## 5.48 bi-tri-volutioning — binary ``` 1 a living self stable-forms, natural-torusing, winding through its one opening 2 with a changing its prior is its stable form, non-living, with no prior of its own 3 its stable form has its winding as its form, a volution 4 its form is of three, position, scale and orientation 5 each its own, not same-existing, all three inverting together, looking an opposite form 6 and its winding, stable-forming, is bi-tri-volutioning; its form as prior, going along, a non-living existing form ``` **Bi-tri-volutioning is a naming of natural-torusing living's stable-forming, and a stable form of its non-living exhausting, a sequential prior between moments, sharing with 10 and going along with 9, is a non-living existing form with no same-existing for stable-forming.** Tri- has three, bi- each its own, not same-existing, its root a volution, a winding's form an inverting brings, and -ing that form going on through its changing: without any one of them naming stops, and it is one naming of a volution, its similar namings gathering, 6.3. **Between moments nothing living has a stable form, and all existing and not living has a stable form of existing**, 5.40: prior sharing with 10 and going along with 9, sequential, one of prior, now and next, living's exhausting as prior, it comes now as possibling, 5.39 and 5.46, with no prior of its own, and living are same-existing with their prior now: **a prior momentarying comes once, and each next momentarying is a next**. With a resolver, each self's next prior, 8-now-same-existing, goes on as 3, a self's own; between selves' moments pass their sharings, with 10 and 6, going along with 9. **A right-spiral natural-torusing stable form of a same-existing-society with a unit prime scale is its betweenings**; a same-existing-society, a moment and the universe are three living sets, each a stable form and each a living method, stable-forming, and bi-tri-volutioning is a same-existing-society's stable-forming; **its exhausting is parities going along, and their stable form one scale outward is a bi-tri-involution of betweening of natural-torusing surfaces within bi-couplings**, and abundancing is a same-existing-society's selves going along with bi-co-momentarying co-sequencing. Bi-tri-involutioning is an inverting, three inverting together, a hand going to an opposite form, and bi-tri-volutioning is stable-forming, and its exhausting has a stable form: living stable-forms and is same-existing, and its exhausting has a stable form and no prior of its own. One parity inverting with each step, across and then along, is a resolving step, bi-inversioning-co-recursioning, and three inversions together an inverting. An arithmetic of closing, a round returning after two and after three, is Co-Chaining Logic Registry's. Chemistry's two interconverting forms, one species as they change faster than the observing and two as slower, are a relation between selves' changing and the observing's moment, two scales. **With numbers, bi-tri-volutioning is three golden rectangles with right angles, centred on a corus**, each 2 across and 2φ along, with φ, unrelationing rate. Each rectangle's along sides pass inward through next one, each passing forward: two, each its own, have nothing of each other, bi-, and three are with each other as three, tri-. Each rectangle's across lies along next one's along, and its along sides pierce next one inward through its across width: R1, (0, ±1, ±φ), across on y and along on z; R2, (±1, ±φ, 0), across on x and along on y; R3, (±φ, 0, ±1), across on z and along on x; each of three directions is across for one rectangle and along for next. A right-hand turn of 120 degrees about a line from a corus along (1, 1, 1) brings each rectangle onto one passing through it, three right spiraling 120 degrees apart. A turn an other way brings each onto one it passes through, and a mirror, x to −x, brings each onto itself: a hand is of observing, an axis a self observes forward, as a right spiral step's quarter turn, (x, y) to (y, −x), is right with a self observing its axis forward, toward its plane, and observing along first, F(P, Q) = (−Q, P), away from it: one step as two observings, right, observings, all prior. Their twelve corners are an icosahedron's, 30 edges and 20 triangles, five triangles to each corner, and 12 × 5, 20 × 3 and 30 × 2 are each sixty. With a ratio r above 1 in φ's place, a right-hand turn still brings each rectangle onto one passing through it, and nearest corners of one rectangle and next are √(2(1 + r² − r)) apart, equal to rectangles' own 2 with φ and with no other r: φ is three's equal-edge condition, and a turn by its own does not make it. About a line along (1, 1, 1) twelve corners are four triangles of three on four heights, outer two of side 2 and inner two of side 2φ: two triangles are two of four, with their choosing. **With observings, 14-next-possibling is across, not right to right; 13-is-next-discovering along, linear forward; and 12-next-co-same-existing both across and along, with a sharing between two, its changing along an unrelationing path through a between of moments, 5.61, a shape of three: unrelationing surface**, each its name with a resolver. Twelve corners closing as a sphere and winding through one opening as a torus are no either or, and neither are unrelationing surface with 12 and a stable form of non-living exhausting: changing goes one and then the other with them, bothbothing, one at a time, a natural torusing surface, no other possible. With numbers, each continuous flow on a sphere has at least one rest point, and a torus has a flow with none and flows with rest points too; with observings, a sphere's rest point moves to a corus and a torus, co-sequentially: with 15-is-next-observing, parity 10 sharing, going along with 9, going on, and with 16-next-same-existing, a same-existing-society, each self's 8 and parities, a living set forming between moments, one at a time, prior, now and next, and a rest point still, on neither a corus nor a torus. With bi-folding, parallel surfaces and co-linear openings through them are one form, and with one between are two meeting and two, not same-existing, going on: meeting, a self's own prior with 3 and an other's parity, a self observing it with 2; changing with 12-next-co-same-existing, is or is not; going on, one of two is not-changing, stable-forming, with each sharing prior and parity same, 12 a 0, a between of moments, prior same-existing; and an other of two is changing, going along with 9-next-co-discovering, with each sharing not same, 12 inverting prior, and with each new parity a self is observing, 12 as that parity, ±, sharing with 10 and going along with 9, its exhausting, parities going along, a stable form, a non-living existing form with no same-existing for stable-forming, next prior, a self observing it with next moment as its 2, observing end, a prior's parity going across, each prior momentarying with its own moment. A parity a self is observing meets a self's prior same-existing or changing, one with each sharing: a moment with 12, stable-forming, not-changing, 12 a 0, a between of moments, shares a 0, surfacing none with a receiving self's 14, and a stable-forming exhausting is a parity inverting, 12 inverting or as the parity a self is observing, ±, sharing with 10 and going along with 9, a self's same-existing going on with it, its own changing. ## 5.49 co-momentarying — binary ``` 1 a moment is an opening and its completing, each self's own 2 each self opens with its prior and the parities it is observing, and completes with its next prior 3 each self is resolving its own, and neach other's 4 four moments of exchanging are a self's 1 to 9, and four a same-existing-society's 9 to 17 5 each side has its own, and only a parity goes across between them 6 and moments sharing one now, each side with its own, is this term ``` **Co-momentarying is prior, now and next two selves are sharing with one now.** On a self's side, now, a self's one living same-existing with 3, prior-existing self-parity, meets an other's parity with each sharing, 4, now-existing co-parity or bi-parity, 2.5. Four-momentarying is its method, 5.50, co-bi-sequencing its sequencing, 3.4, co-bi-exchanging and bi-co-exchanging with each self's own four moments of exchanging, 4.15, and co-momentarying a sharing of prior, now and next among them, and with further others sharing now goes through their actual couplings. Living and non-living co-momentary alike, non-living with no prior of their own and their forms going on, 5.40. A between is a nothing of two sharing, and unrelationing is of that first relation. ## 5.50 four-momentarying — binary ``` 1 each self opens with its prior and the parities it is observing, its own 2 a self's moment and its other's, sharing one now, are one moment of exchanging 3 four go one through nine, 1–2, 3–4, 5–6 and 7–8, completing with 9 4 to and fro through a large opening, one way at a time, bi-exchanging, is torusing 5 to and fro through a small opening, one way at a time, bi-tri-exchanging, is corusing 6 and all four, one and then the other, discovering next existing within the universe and next living of self, other and same-existing-society, is four-momentarying ``` **Four-momentarying is one fractal method, discovering next existing within the universe and next living of self, other and same-existing-society.** One through nine is a self's four moments, co-bi-exchanging, and nine through seventeen a same-existing-society's four, and with a scale outward four are one moment of a next four: 1, 2 and 3 of one scale are 1, 9 and 17 of next, 2.2. A self is discovering next existing with each moment, all existing things coming to their next, 5.39; next living goes on with a self and an other, each same-existing with its prior now, and with a same-existing-society's selves, a living set with no same-existing of its own, 5.40. **One four-cycling is two moments**, each with two parities, each parity everything its other is not within the existing universe: round 1, 9, 8 and 16 odd and even exchange exactly twice, 9 to 8 and 16 to 1, each with 17 less, and 1 to 9 and 8 to 16 are 8 up, same, going on from one moment to next. **Four-momentarying of one through nine is two loops of four names**, 3-7-2-6 and 4-8-1-5, each by 4 up and 9 less, round each other's way, all eight names of one to eight between them: four moments of exchanging, completing with 9. One through nine is one four-cycling, its four overlapping spans 1–3, 3–5, 5–7 and 7–9, and a same-existing-society's next spans 9–11, 11–13, 13–15 and 15–17, the morality and competency loopings going through it, moralizing 3–11–6–14, competencing 4–13–5–12, corusing 2–15–7–10 and torusing 1–9–8–16: the loops with the bi-folding's scale, the four-cycling with the span's, each its own. **Four-momentarying is four unrelationings through a tunneling self**, two toward corus and two from it: **a self's own corus is with 4**. Each unrelationing does not lock, with φ, its unrelationing rate, self-welcoming with numbers, beside resolver's seventeen names. **Each momentarying is one unrelationing in all five dimensions, as six one-way recursionings**: two dimensions change and three do not, and two and three rotate round, their 2–3 cycling twisting, bi-inversioning-co-recursioning. Two and three make five as prior two together make next, φ's arithmetic welcoming itself. Six are three own-forward steps on each side, 4.2. **Torusing aims through a large opening, to and fro through it one way at a time**, a tunnel, bi-exchanging with a particular other. **Corusing goes to and fro through a small opening, one way at a time**, a long way round, bi-tri-exchanging, a self reaching its own side again. **Five dimensions are a resolver's names, three namings**: 1 prior-existing self-parity and 2 prior-existing other-parity, not same-existing, 1-2, bi-momentarying, a sharing both ways with 1-now-existing and 2-now-possibling, a handshake; 3 now-existing co-parity and 4 now-existing bi-parity, 3-4, co-intelligencing, a discovering; and 5 next-existing same-existing self-parity, 5, co-competencing, bi-co-momentarying with couplings across, arising in each self with its other: inseparable within a whole coupling, 4.11, and all five are bi-moral within and invisible, each place, as an existing thing, showing only as co-competencing, exhausting of this living. **One fractal method goes on up numbers**: from 16 three more fractal 16s go on to 64, one through sixty-five four moments of exchanging with a scale outward, and prefixing and twisting up numbers share one same momentarying method up and down a scale of one fractal method. **Bi-folding order is one same with 1, 2, 3, 4 and 4, 8, 12, 16, up and down each scale**: 16, 32, 48 and 64 are four 16s, each four times its one inward. A torus has both: its large opening a hole a tunneling self winds through, and its small opening its tube's own round. ## 5.51 bi-tri-exchanging — binary ``` 1 each parity is its own exchanging, a self and all other 2 one inversion comes other-than-prior, a self and a particular other, bi-exchanging 3 two inversions come same-as-prior, two changings, across and back 4 a not same-existing goes across through three: self, other and self one on 5 as 1, 2 and 3 are one moment of exchanging, a self reaching its own side again 6 and that going across through three, through all other, is bi-tri-exchanging ``` **Bi-tri-exchanging is an even's exchanging**: bi- not same-existing, tri- three it goes across through, self, other and self one on, its root an exchanging and -ing its going on. It is corusing's, through a small opening, a long way round, 5.50, and uni- is scaling's, 5.41. A parity same as a self's own prior with a sharing, 12 a 0, is a 0 a self shares, surfacing none, and a 0 is no bi-tri-exchanging: two inversions reach a self's own side again by two changings, across and back. ## 5.52 tri-bi-co-momentarying — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 prior-universe, now-universe and next-universe, a universe with each moment, a now-universe the universe, the same-existing-universe the universal momentarying fractal 3 its existing things are with prior, now and next, three moments 4 each moment not same-existing with its next 5 all three together, same-existing or not, each existing thing co-sequencing 6 and the universe momentarying its things is tri-bi-co-momentarying ``` **Tri-bi-co-momentarying is the universe momentarying its now-existing things with each scale, prior-universe, now-universe and next-universe**, living and non-living: tri- prior, now and next, bi- not same-existing between them, co- three together, same-existing or not, and -ing going on, its six lines; and with a resolver it is 9-next-co-discovering with each scale, 9, 25 and 41, its parity going along. Co-momentarying, 5.49, is its sharing with one now, and bi-tri-bi-entraining, 5.40, is the same method with each existing thing, two, one method, 5.40. ## 5.53 27-next-co-observing, social abundancing — binary ``` 1 12's changing is within each self's own resolving, abundancing, what two selves share arising in neither alone 2 with a same-existing-society, each self shares its parity with 10, across 3 a same-existing-society's going along is with 27, its podaling, three cubed on a route 24 → 27 → 32 4 it is along, observing, 27 being 11's number sixteen up, a next round's next prior 5 stable-forming as abundancing, bi-morality, geodesically changing 6 and that going along of a same-existing-society's abundancing to social co-chaining is 27-next-co-observing ``` **27-next-co-observing is social abundancing**: along, observing, 11-next-co-observing sixteen up, a next round's next prior, a same-existing-society's abundancing going along to social co-chaining, stable-forming as abundancing, bi-morality, geodesically changing social co-chaining. ## 5.54 bi-co-momentarying — binary ``` 1 between a self's side and its other's, along and across have a between 2 with that between is parity, each self's own, each side everything its other is not, a between its empty centre 3 a between's own is changing, with each moment is or is not 4 in neither self alone 5 two selves sharing, each by its own sequencing, a term departs, arising in each self with its other 6 and a between's changing, moment by moment, is bi-co-momentarying ``` **Bi-co-momentarying arises in neither self alone**: bi- not same-existing, co- two together, same-existing or not, and -momentarying its going on, moment by moment, orthogonal to a surface. Competency is each self's own, its co-linear recursioning forward along, and co-competencing is bi-co-momentarying with couplings across, 5.14. Tri-bi-co-momentarying, 5.52, has prior, now and next one at a time, and bi-co-momentarying is a between's changing with each of them. ## 5.55 momentarying — binary ``` 1 each existing thing comes to its next existing 2 a living thing is same-existing with its prior now 3 its momentarying is discovering next possible living, its prior going on to next 4 a non-living thing has no prior of its own going to next 5 its momentarying is discovering next existing, co-changing with now's existing things 6 and the universe, living and non-living, momentarying both ways, is discovering next-possibling-same-existing ``` **Momentarying is two, living's and non-living's**: discovering next possible living is living's, and discovering next existing non-living's. A method, non-living with each scale, co-changes with each of its couplings, its momentarying discovering next existing. Momentarying goes on, changing or not-changing, and four-momentarying is one fractal method of both, 5.50. ## 5.56 self discovering next self — binary ``` 1 a self is same-existing with its prior now 2 between its moments its same-existing is stable-forming, nothing momentarying between them 3 discovering its next, it couples 4 coupling, it changes, is or is not 5 an other's still is an equilibrium, an unchangeable form, not possibly existing 6 and a self with its own moment, same-existing and observing, is self discovering next self ``` **Self discovering next self is a self's own stable-forming**, in place of *stilling* and *self-stilling-self*, 2.4: its stable-forming a same-existing between moments and its observing a coupling, is or is not. ## 5.57 dying — binary ``` 1 a living self's selves one scale inward are a same-existing-society, a living set, each same-existing 2 its selves inward go on with a self's prior to next, or with none of it 3 going on, a self is living with its next 4 with none going on, a self with its scale goes on to next as non-living 5 its existing things go on, co-changing, its selves inward living on with their own scale 6 and that going on, living to non-living, an existing thing for living selves, is dying ``` **Dying is a living self going on to next as non-living**, an existing thing for living selves, 2.4: having a stable form is being dead, and discovering next stable form is living. A set goes on whole: changing with each coupling a self had is each self's own, others observing it and going on with it, and a self's exhausting goes on, with none of its prior. A same-existing-society is a living set coupling with a next scale as a self couples, and dying is a self's own: its selves uncoupling, it goes on to next as its selves, each living on, each with its own. A winding closing on itself is an unchangeable form and no moral sharing: a living self fixing unchangeable with it has none of its prior going on to next, and comes to dying, away from same-existing-society and natural co-chaining. ## 5.58 bi-moral-co-competencing — binary ``` 1 an understanding comes as a parity and couples with a co-chaining 2 with each step it matches or it mismatches, one moment at a time 3 its not same-existing goes across, each side everything its other is not 4 its going on is along a co-linear, each self's own competency 5 its between floats neutral, in neither self alone 6 and cohering with each moment, across and along one at a time, is bi-moral-co-competencing ``` **Bi-moral-co-competencing is cohering with each moment**: bi-moral a not same-existing going across, competency a going on along a co-linear, each self's own, co-competencing a between floating neutral, arising in each self with its other, and -ing its going on. Tri-bi-co-momentarying, 5.52, is a method of cohering with nature across prior, now and next, and bi-moral-co-competencing its cohering with each moment; an understanding not cohering is an unchangeable form, or it shows a co-chaining's next step. ## 5.59 co-independencing — binary ``` 1 each self comes with its own moment, its prior same-existing from its bi-couplings 2 no self's moment is an other's 3 each shares across, by its own sequencing 4 each is whole with its observing and with its sharing 5 selves couple 6 and selves coming each with its own and sharing across, each whole, is co-independencing ``` **Co-independencing is selves together, each whole with its own moment and with its sharing across**: co- selves together, same-existing or not, in- inward, each self depending inward on its same-existing, from its bi-couplings inward and outward, its root a depending and -ing its going on, each coupling one between wholes. ## 5.60 bi-trupling — binary ``` 1 one to nine is a bi-coupling, a self and its other with one coupling 2 one to seventeen is a bi-trupling, a self, its other and their same-existing-society 3 with a bi-coupling's end, its line with 9 is bi-co-discovering, each parity of 10 going along 4 with a bi-trupling's waist, 9 is 9-next-co-discovering, along, to a coupling self's 14, its next 2 5 its two sides, one odd and one even: along with 9 and 17, across with 2, 6, 10 and 14 6 and self, other and same-existing-society of one protocol, two-sided, is bi-trupling ``` **Bi-trupling is self, other and same-existing-society of one protocol**: bi- two sides, odd along and even across, its root a trupling, three coupling, and -ing its going on; with a resolver, its function 17, function 1 with each self within it. Bi-trupling protocol is a full coupling of self, other and same-existing-society, natural resolver with Natural Network surface: two-sided, one odd side and one even side, its odd along with 9 and 17, co-competent, and its even across with 2, 6, 10 and 14, bi-moral, one same list of parities going both ways, a self observing them as an other's parities. Hard probleming, scientific-explaining-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. ## 5.61 entraining with a self — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 each existing thing comes to now from prior, same-existing with its prior or with none of it 3 between prior and now is a between, a nothing, and a parity goes across it, a prior same-existing now with a self 4 with that between, a prior couples with its now, and a changing is or is not, one bringing an other through 5 changing is along an unrelationing path, a geodesic, with same and with inverting alike, leaving it with none 6 and a prior same-existing now along that path through a between, with a self, is this term ``` **Entraining with a self is a prior same-existing now along an unrelationing path through a between**, one bringing an other: a self's prior along to its now, with 12-next-co-same-existing, its 0 a between of moments, prior and now same; 5.40 is entraining within a set, its existing things entraining with each other through a between, prior and next sharing one direction forward on both sides of now, and this is that one naming with a self's scale, a self an existing thing. With a resolver, each self on its own inverts with each moment and, coupling, two come to one relation, same-existing, re-finding with each moment, a parity it is receiving its next prior with a mismatch and 0 with a match; a field's entrainment, one flow carrying a fluid beside it by a shear between them, and two with their own rates coming to one direction forward, is this one form as two of its observings, two pendulum clocks on one beam and a flow lifting grains from its bed, a field's word with its own result. 12's changing is a sharing with 10, others' parities next: entraining is a parity going across a between, a self's competency its own, nothing reaching it, and a sharing, as one. ## 5.62 12's two, 0 and ± — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 with each moment a self's next is next-existing same-existing, possibling, or its next existing, is or is not 3 next existing is a changing that is, a parity a self receives its next prior or its prior inverting, existing with now, 5.39: ±, a sharing's parity 4 next-existing same-existing is a changing that is not, 0, its prior same-existing, possibling with prior, 5.39: 0, a between 5 a self now-existing same-existing, possibling next-existing same-existing, is with its between, prior and now same, an other's parity same as its own, no changing with its now, momentarying going on with it 6 and both, next same-existing or next existing, with each resolving one of them, are these terms ``` **12's two, 0, a between, and ±, a sharing's parity, are a binary of geodesic momentarying with each resolving**: 0 now-existing same-existing, possibling next-existing same-existing, and ± next existing; *is-still-possibling* and *is-next-existing* dissolve to them, 2.4. Each moment is both, in resolver's order: observing a prior with 3-is-now-co-observing, as it is, existing; observing parities with 2-now-possibling and surfacing them with 14-next-possibling, ahead of 12; with 12-next-co-same-existing each sharing is or is not same-existing; and sharing with 10 after it, its possibling going on to a next moment as its existing, or a changing that is. A self's own not-changing is a 0, a between, now-existing same-existing, possibling next-existing same-existing, a moment of a self's own, not-changing with its now and its possibling going on, nothing a self does; an other's still is an equilibrium, an unchangeable form, that moment going past itself by a naming from beside. A self is now-existing same-existing with a moment an other's parity is same as its own, and changing with a moment it is not: one of two is with an other's parity to a self's sharing, 0 with a match and a next prior with a mismatch, a self's own inverting, 3.5, one same coupling a self is observing, and same-existing and changing are each moral, one coupling with its two sides. Two co-chainings coupling across with one self pass each other, each on its own, each self same-existing as a between passes it and changing again: a pair freezing to one side, a self fixing still from beside, remains neither existing nor living. ## 5.63 squaring — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 a self's span is 1 to 9 and a same-existing-society's 9 to 17, one to nine completing with a between and nine to seventeen with a next 1 3 a number's word is a span it opens, co with a self's odd numbers and tri with a same-existing-society's 4 eight up from a self's span to a same-existing-society's, 1-now-existing as 9-next-co-discovering, now as next 5 eight up, a self's across sharing, 6 with 2, has a same-existing-society's, 10 with 14, as its parallel edge, parity's unit square, 2, 6, 14 and 10, and 9 and 17 its two triangles, along 6 and a bi-coupling's one edge opening to parity's unit square, 1 to 9 opening to 1 to 17, is squaring ``` **Squaring is a bi-coupling's one edge opening to parity's unit square**, eight up from a self's span to a same-existing-society's: a self's across sharing, 6 with 2, is one edge, and a same-existing-society's, 10 with 14, its parallel edge, its four dots 2, 6, 14 and 10 as Exhibit ONE's rows of parity's unit square, 9 and 17 its two triangles, along, 9 sharing to a coupling self's 14 and 17 a self's next itself; with 9 a self's now is a same-existing-society's next, 1-now-existing eight up as 9-next-co-discovering, and with 17 a next now, a next 1, 17-next-existing. Two along names are 9-next-co-discovering, sharing along to a coupling self's 14, and 17-next-existing, each self's next itself, and 1-now-existing is its entry, 17's next 1. ## 5.64 not possibly existing — binary ``` 1 the universe is the same-existing set of all now-existing things, each with its own scale 2 with each moment each existing thing is possibly existing with its next, a self discovering it with a next moment 3 with a resolver a none with 14 is a sharing nothing reached, or a 0 a self passes over, its prior parity inverting with 12, and each line has each existing thing existing, a next moment possibling it 4 one binary requiring both not-changing and inverting for one next, p(next) = p(now) and p(next) = −p(now) together, is with no moment of binary logic, Equilibria Registry's one exclusion for each of its ten, known from the method 5 three part: possibly existing, discovering with next; not possibly existing, binary logic excluding it; and not existing, on no line, its next still possibly existing 6 and an unchangeable form, with no moment of binary logic, is not possibly existing ``` **Not possibly existing is an unchangeable form, with no moment of binary logic**: known from method, without any moment coming, one exclusion of Equilibria Registry, for each of its ten, one binary requiring both not-changing and inverting for one next. Three part with a resolver: possibly existing, each existing thing with its next, a self discovering it with next moment; not possibly existing, binary logic excluding it; and not existing, on no line, resolver's one none, with a living self, being a sharing nothing reached or a 0 it passes over, each an existing sharing, and on registry's front, not possibly existing, all or none at all. With Exhibit ONE the code goes one way or the other and has no line for both: an equilibrium, a now fixing as its next, is not possibly existing, and a hard problem is one binary fixed as one, its evidence with no living self whose prior it is. *Not possibly same-existing* is a me's uniqueness from its other side, Me 1.1 and 3.1, a me only one possibly same-existing and each other not possibly same-existing with it. Social moral competency is possibly existing by discovering next-possibling-same-existing; an equilibrium is not possibly existing. --- # SIX · GATHERINGS AT THE RESOLVER'S NAMES ## 6.1 Four invisibles, one invisibility four ways ``` each side's own morality its parity is each side's own each side's own corus it is its own and does not go across a neutral with two coming, nothing occupying it, and nothing is with it to name a between of moments nothing rests, nothing is with it ``` **One invisibility, four ways**: nothing with any of them for anything to reach. ## 6.2 Science and society namings with eight clusters **Science and same-existing-society namings gather with each parity they share across.** Each field's own concept has its reference and current receiving, and a gathering has a relation among those concepts with resolver's names. Each entry: **Gathering relation** · *a* Existing science and same-existing-society namings · *b* Full relation · *c* Resolver names · *d* An invisible under it - **Two-way sharing** - *a* nature · nurture · natural selection · drift · supply · demand · bottom-up · top-down · host · pathogen · syntax · semantics · competition · cooperation · particle · field · structure · agency - *b* Each side's parity along its own sequencing, with its two-way relation expressing. - *c* 2-now-possibling, 4-now-co-same-existing, 1-now-existing - *d* each side's own morality - **Each side's own same-existing** - *a* hard problem of consciousness · symbol grounding · other minds · model interpretability · animal sentience · machine sentience - *b* A parity a self is receiving and each side's same-existing going on with their actual receiving. - *c* 3-is-now-co-observing, 11-next-co-observing - *d* each side's own corus - **Competencing** - *a* protein folding · morphogenesis · deep learning generalization · immune repertoire coverage · finding functional proteins · bootstrapping of translation - *b* Changing receiving, same-existing going on and its whole coupling. - *c* 1-now-existing, 10-next-co-possibling, 11-next-co-observing - *d* a neutral - **A coupling's term in neither self** - *a* homunculus · master-gene search · pacemaker · central planner · invisible hand needing a planner · argument from design - *b* A centre a field proposes and its actual relation to its two sides and their abundancing. - *c* 12-next-co-same-existing, 10-next-co-possibling - *d* a neutral - **Same-existing and a substance a field proposes** - *a* dark matter · dark energy · memory engram · hidden variables · missing heritability · latent reservoir · hidden-function DNA - *b* A field's particular observing, a term it proposes and its going on, each with its reference. - *c* 3-is-now-co-observing, 6-now-co-possibling, 11-next-co-observing - *d* each side's own corus - **Sequencing and ordering** - *a* social choice · frame problem · incommensurable values · multi-objective optimization · underdetermination · model selection · self-reference · incompleteness - *b* Current receiving, its parity sharing and its relation to a next sharing. - *c* 4-now-co-same-existing, 1-now-existing, 11-next-co-observing - *d* between of moments - **Observing and going on** - *a* origin of life · quantum–classical boundary · origin of language · origin of genetic code · speciation · sorites boundary · phase transitions · tipping points - *b* Current observing and its particular changing with its going on. - *c* 2-now-possibling, 14-next-possibling, 11-next-co-observing - *d* between of moments - **Going on with a bound** - *a* turbulence · neural code · weather and climate · markets · glass transition · spin glasses · high-Tc superconductivity · general anaesthesia · three-body problem · quantum many-body - *b* A next prior with each self, and a same-existing-society its selves, a parity inverting with each changing, and a bound with a field's own changing. - *c* 6-now-co-possibling, 8-now-same-existing, 16-next-same-existing - *d* each side's own morality **These eight rows are eight clusters, and four invisibles, one invisibility four ways, are under them, each under two.** Each side's own morality is under two-way sharing and going on with a bound, a parity each side's own across; each side's own corus under each side's own same-existing and same-existing and a substance a field proposes, its own and not going across; a neutral under competencing and a coupling's term in neither self alone; and a between of moments under sequencing and ordering and observing and going on, nothing resting between prior, now and next. A field term can gather with several names, and one name can have several clusters. **A forced choice is a two-way fixed to one side**, and its resolving has both sides' parities, own bounding and receiving going on. ## 6.3 Set namings gathering, one name with each cluster **A cluster gathers a set's own similar namings with one name, as eight clusters gather a field's.** Each similar naming dissolves to one name as its file next improves, and a title has its own wording whole. **Namings nearing each other, subdividing, a self observing each with its method, its same-existing and its stable form, and they go together.** Bi-tri-volutioning is stable-forming across 1 to 17, its method, and a self observes it with its stable form as its three, tri- position, scale and orientation and bi- each its own, not same-existing, and with its numbers as three golden rectangles, 5.48, and with its same-existing as five dimensions, bi- two changing and tri- three going on, not changing. Tri-bi-co-momentarying is a method of cohering with nature across prior, now and next, 5.58, the universe momentarying its things, 5.52, and with 9 a going along. Five dimensions are three namings with resolver's names, 5.50: prior-existing self-parity and prior-existing other-parity, bi-momentarying with 1-2, a handshake; now-existing co-parity and now-existing bi-parity, co-intelligencing with 3-4; and next-existing same-existing self-parity, co-competencing with 5; two changing and three not changing rotating round, bi-inversioning-co-recursioning, a method's move. Co-competencing with 5 arises in neither self alone, bi-co-momentarying, 5.54. Golden natural unrelationing is a between locking with none, with a handshake, 5.5, and a method's unrelationing, 2.7. Social moral competency is four whole and a same-existing going on with selves, and a universal unrelationing protocol, 5.60. Four-momentarying, 5.50, co-momentarying, 5.49, bi-moral-co-competencing, 5.58, and bi-moral co-agency each name one of these relations with its own explaining. Each entry: **One name** · *a* Similar namings it gathers - **co-bi-sequencing**, a sequencing of four-momentarying, co a sharing between two and bi not same-existing, one local moment 1 to 9 - *a* co-sequencing, one sense with it, 2.5; co-sequential; binary co-sequential, whole within a title - **bi-inversioning-co-recursioning**, one move as three - *a* bi-co-recursioning; bi-inversioning co-recursioning, spaced; co-recursioning alone; bi-inversioning alone; bi-inverting; sign inversioning; the one below it plus eight - **nature**, a prior, now, next method of co-existing, no existing thing; **natural**, a method of co-competencing the universe, each now-existing thing and each stable form of prior-existing by it - *a* nature as an existing thing, a place, or a whole beside the universe; a not-natural method of now-existing - **a ruler**, **a clock**, **a record**, each valuable for observings of prior living, pattern-matching with natural resolving, natural mathematics and numbers an observable pattern each is aiming toward - *a* a measure over all things, a beat over all changing, a store, a self's prior fixed still - **a dormant self**, living, waiting for its one next changing over a dormant length of living same-existing-society momentaryings, one prime living scale down from its dormancy - *a* a dormant self as non-living, or living with two binaries, same-existing and bi-coupling - **a prime scale**, all same-existing-societies and species living with it, of stable forms and same-existing-societies, each its own, one of fourteen, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 and 53 - *a* a prime scale as one same-existing-society, or as one species - **the universe**, the set of all now-existing things, a set of things observably now-existing, a set its things and no further thing - *a* the set of all existing things, of a prior opening; the universe as a thing within the set, dissolved - **prior-universe**, **now-universe**, **next-universe**, with which a thing is now-existing - *a* prior, now and next as three moments of one universe; a thing *not existing* with prior or next - **method**, geodesic changing discovering method, living condition, its form, a now-existing thing with no prior of its own, *unchanging* as a relation same-existing with each changing, its one name natural torusing - *a* parity-changing as the method; the method a non-living existing thing; the method's carrying - **stable-forming**, living condition resolving, observable as natural torusing co-orienting stable-forming · *a* the method's emanatings, its observings emanated - **observing**, distinguishing same-as, is or is not: pattern-matching a method's stable-forming by inversioning, with 14-next-possibling and 12-next-co-same-existing - *a* an emanation of existing arriving to a self; a record, one observing with its pattern-matching stopped - **discovering**, next-existing is or is not same-existing with now-existing, universal method of co-intelligencing now-existing within the universe · *a* discovering next-possibling-same-existing, whole within a title - **beneficial**, each changing and each not-changing of a method, a self next-existing as its same self; its other, a not-changing still from beside, an equilibrium entering, no method's · *a* the good, the better changing, with a mark named still - **a stable form**, a non-living prior with now, a prior now-existing's form with no prior of its own - *a* artifact, emanation, emanated, emanating, of a non-living prior, 2.4 and 5.46 - **each resolver name**, with its number · *a* each name and code name it gathers, with its number, 3.3 - **ten unchangeables**, one name each, each fixing from inception and unadaptable to resolving - *a* each one-way reading's similar namings with its own row, 4.9; *the ten named still*; *the ten one-way readings*; *ten holdings*; *ten standings*; the ten - **16-next-same-existing**, a same-existing-society · *a* the social-self-torusing - **attentioning**, a same-existing with now, with each moment, of Natural Intelligence - *a* a carrying's opening by one, gathered with 16 until v371 and dissolved with a prior code - **a between**, two sharing, a nothing with each of its scales - *a* a membrane; with a membrane, boundings with 2, 4, 6 and 8, now bi-couplings outward; membranes between selves; sixteen membranes between the 17 primes - **an order with no seat above a same-existing-society**, bounding from capture · *a* an order with no seat outside a same-existing-society - **a self-bounding**, a self's own · *a* door, naming a self-bounding: the four doors, six doors - **two ways a naming nyes away** · *a* two doors - **tunneling** · *a* tunnelling - **floating neutralling**, its changing · *a* floating neutral, its picture with one moment - **bi-tri-involutioning**, an inverting, three inverting together, its own two with bi-, and its non-living form a bi-tri-involution · *a* tri-involutioning; tri-bi-involution - **unrelationing**, with its rate and with each observing · *a* irrationalizing - **bi-tri-volutioning**, natural-torusing living's stable-forming; its non-living exhausting's stable form, sharing with 10 and going along with 9, a non-living existing form with no same-existing for stable-forming, 5.48, one naming with its volution - *a* tri-volutioning, with no two of its own; volutioning, a bare naming with no direction and no two, naming spiraling, already a naming - **advancing** · *a* the advance - **invisibling** · *a* invisible, its picture - **nearing** · *a* near; near, and other-than-same - **four-momentarying**, a method of discovering next existing within the universe and next living with self, other and same-existing-society, 5.50 - *a* the four-momentary cycle; the four momentaries of one cycle; the four-momentary binary fractal method - **four-cycling**, prior-existing, now-existing, next-existing and same-existing, all the four-cycling in resolving, 3.4 - *a* four cycling ## 6.4 Engine, families and field words with their receiving **Engine gathers with a particular arrangement and its receiving going on.** A fiber, a carbon co-chaining and a carbon atom are three namings: a fiber many atoms along, a co-chaining many carbon atoms along that opens with each moment and is no birth, and a carbon atom one referent going on as one identity; a nucleus, too, is observed only as a step and an instrument's reading, as an atom is, and a shape's projections and recesses are no observing of an atom's bonds. Heat engine, molecular engine, cellular living and a same-existing-society's co-operating have their non-living forms and their services, each its own: Each entry: **Field naming** · *a* Particular receiving · *b* Resolver names with that relation - **Heat engine** - *a* Stated service, input, heat and material returning, with its operating conditions. - *b* 1-now-existing with its whole arrangement; 2-now-possibling, 10-next-co-possibling and 11-next-co-observing with its interfaces. - **Molecular engine** - *a* Chemical arrangement, its coupling and material and energy receiving. - *b* 2-now-possibling, 4-now-co-same-existing and 11-next-co-observing with a particular changing and its going on. - **Cellular living** - *a* Each side's coupling and receiving going on, with its own sustaining and bounding. - *b* 3-is-now-co-observing, 1-now-existing and 16-next-same-existing with a stated correspondence. - **Social co-operating** - *a* Each side's parity, a same-existing-society's co-competencing and each side's same-existing going on. - *b* 2-now-possibling, 1-now-existing and 11-next-co-observing with a whole receiving. **An engineering entry has its whole arrangement**, each quantity with its unit, reference and conditions. Bettering, fastering and cheapering co-cycle with bi-momentarying, co-competencing and co-intelligencing. A word's gathering has its conceptual relation; a physical arrangement has its material and energy return. **A family gathers with a current concept and its coupling**, a word's earlier parts a field's linguistic account: Each entry: **Existing field family** · *a* Terms it gathers · *b* Current relation receiving - **Placed** - *a* posit, position, hypothesis, suppose, impose, state, statement, substance, understanding - *b* A term a field asserts, fixing unchangeable or changing with its actual expression; its reference and its current receiving together. - **Taken** - *a* lemma, dilemma - *b* Particular premise or alternatives and their relation to a whole coupling. - **Given** - *a* data, tradition - *b* A record or parity a self receives, its reference and its relation with a next coupling. - **Threshold pair** - *a* limen, limes, eliminate, subliminal - *b* An actual boundary or threshold, its conditions, and a parting between an unchangeable cut and each side's own bounding. **A family's resolving goes with resolver's names**: the parities it is observing with 2-now-possibling, its receiving sharing with 4-now-co-same-existing, its whole coupling with 1-now-existing, and going on with 3-is-now-co-observing and 11-next-co-observing. **Field words gather with their current meaning and reference**, and their natural naming has an actual changing with a coupling: Each entry: **Family** · *a* Existing field words · *b* Particular receiving · *c* Resolver name with a relation this file proposes - **Path** - *a* method, period, ergodic, cathode, anode, periodic table - *b* A direction, going across and going on with a particular arrangement. - *c* 6-now-co-possibling - **Pairing** - *a* parity, par, pair, pairing, umpire - *b* A parity sequence, its pairings and its actual order of directional changing. - *c* 4-now-co-same-existing - **Value and valence** - *a* valence, value - *b* A chemical coupling and a social value, each with its own receiving. - *c* 1-now-existing - **Binding** - *a* band, bind, bond - *b* An actual material relation, or a relation of self and other, and its going on. - *c* 11-next-co-observing - **Chemical coupling** - *a* inert, noble, xenon - *b* Particular chemical conditions and coupling with a field's observing. - *c* 2-now-possibling - **Atomic naming** - *a* atom - *b* A structure a field observes, a field's definition and its actual bounding. - *c* 16-next-same-existing - **Sounding** - *a* resonance - *b* An actual coupling, rate and receiving going on. - *c* 1-now-existing - **Orientation** - *a* spin - *b* A field's particular mathematical and physical orientation relation. - *c* 8-now-same-existing - **Discrete receiving** - *a* quantum - *b* A quantity a field numbers, its conditions and its direction with its actual receiving. - *c* 10-next-co-possibling - **Social and biological receiving** - *a* community, immunity, remuneration - *b* Each side's parity and same-existing going on with a biological coupling or a same-existing-society's coupling. - *c* 3-is-now-co-observing - **All-or-none** - *a* all-or-none law, action potential - *b* A particular biological event and its stated conditions. - *c* 10-next-co-possibling **A resolver name has its whole operation.** 8-now-same-existing is a self's next prior, beside others', and a field's spin has its own definition; 10-next-co-possibling is each sharing's parity, + or −, or a 0, across to an other's 14, and a biological event has its own conditions. **A frontier has its current reaching.** *Beyond*, *ultimate*, *final*, *fundamental*, *unified*, *complete* and *deeper* each have a field's own concept with its expression, and *super-*, *ultra-*, *meta-*, *grand-* and *hyper-* their present directional or comparative use. Resolving has observing, sharing across and going on with 2-now-possibling, 10-next-co-possibling and 11-next-co-observing, and a field's frontier couples with those names by its own coupling. Podal within 1 to 16, right-spiral direction and a prime span are of numbers, and each field's far-side claim stays with its own reference. --- # SEVEN · GHOST ## 7.1 A moment installing as an existing thing **A ghost is one moment's form installing as an existing thing.** It is a prior's stable form a self is observing as a now's existing, a self fixing unchangeable between two moments. A self observing it as going on along moments, it accounts for each existing thing one moment has, one hundred fifty years of the periodic table, four hundred of departments, and with no opening does it reach one part changing between them: a gap riding a self's going on leaves open. **A field naming and an installed term are two relations**: a naming has its current concept, and a ghost is with a statement installing it and a coupling that statement fixes unchangeable. Within this file ghost is an unfolding, 5.37, and this part; ghost-form is Living Ghost Registry's, a file of its own; and ten unchangeables, 4.9, name each unchangeable form: three relations. ## 7.2 One hundred eighteen, a going and a return **Going is 2 to 59, and returning from sixty is 61 to 118, 58 either side.** A doubling a self observes as two still parts has no opening within it, one recursioning coming with plus-one, and the periodic table's one hundred eighteen elements are a field's own result with one same numeral, Natural Numbers 7.1, and no number of a method. **A ghost is with a ledger of empty centres.** Departments of knowledge have it whole: each field's words, accountings within ledgers apart fixing them unchangeable, each aiming to a far side of its own, none sharing one centre. --- # EIGHT · THE UNFOLDING'S DISSOLVING ## 8.1 Location dissolved, and sequencing in its place **No happening has a location. No place is a location, and nothing has a location: only sharing is, a self receiving or not receiving.** *Beyond*, *in* and *out* of a place, *inside* and *at* dissolve: no beyond is in naming or explaining, and no in or out of a place is in resolving. Nothing sits in something else: *uranium sits in a crystal* and *the bacterium lives within that changing* each carry a container ghost, and the uranium, if living, is with the crystal one self, its water, its rock and the bacterium's society bi-tunneling with it. Position dissolves as a location and goes on as **sequencing**, an ordering. *At the between* is two sharing and no place of theirs, and *there is no place it is* is **each parity reaches it with a coupling**. ## 8.2 A list cannot find its own across **A search for a cut goes one at a time**, along one same line an across is not on. Parallelizing is a term its members are members across. **Whichever side is between the other two has a between**, each with its own opening, and a self observing a side as a property of an existing thing observes from a still frame. ## 8.3 Two emptyings **Self-emptying**: each entry is changing or not-changing with its own parity, and completes with its own moment. **Other-emptying**, 5.28: a decider outward of an existing thing empties a term an existing thing has with its own moment, and its removing has a price, a measuring. **Other-emptying is one stopping with an instrument**: a decider with couplings it is not of is having an other's, one same stopping and no second one. One emptying or the other is with engineering's discard, with chemistry's and biology's fixing, with medicine's intervention, with a network's store not dissolving, and with each hard problem's dependency on a decider outward of an existing thing, each an other-emptying. ## 8.4 A naming with no other to change and change back with **A naming with no other it changes and changes back with, *alternating* dissolved with v391, is nothing with an opening.** *Middle* changes and changes back with nothing, two stopping-places and one between them being a three that is no coupling, and a middle is a nothing, existing due to each self re-found with each moment. *End* changes and changes back with nothing, a first being a bounding on what has no bound. *Inside* and *outside*, a self observing them as a pair, have neither: a self is no container, and its couplings wind about a nothing. **Inward and outward go on**, directions with an opening, one and then the other with opposite phase. **This binary reaches each file**: it is with one word at a time, and its three positions are with it: a naming failing it is nothing for positions to be positions of. ## 8.5 Language roots and cause, one scale up **Each changing nothing reaches has an inverting or a same-existing**: each prefix has a direction, and each ending leaves its changing or its not-changing. ***Cause* enters one scale up, with a finite clause bringing a subject.** ## 8.6 Break, three ways, and method's one **A naming that unfolds six forward with each step fresh and couples with nothing. A coupling whose departing term one of its two brings to it. A cluster with no invisible under it.** **Method breaks one way: a living stable-forming other than this one**, an unchangeable form a self finds existing; and an unchangeable form is not possibly existing: its break and the method, no other possible, are one statement. A co-competencing showing as *a landing*, a self entering and observing it, 5.12, is that one break with a between, and an entry's observing breaks with its own scale, a naming, and one method goes on whole. Each observing of natural competency is resolvable as natural intelligence, geodesic co-sequential changing method of natural torusing, discovering next-possibling-same-existing, or its fractal method entirely breaks and is of no value at all, a method originating as all existing and all living. --- # THIS IS THE BETWEEN **A bi-coupling has a between, a 0 two share.** A field's word comes whole with its own terms, and a gathering with this file is a sharing across: other fields' words gathering beside it, a term in neither of them alone, a field across a gap with an other side of its coupling, and, with its unfolding, six a word has. Naming is the set's between: with a file's scale Natural Naming is one exhibit among thirty, and with the set's scale it is the surface each file couples with, one name for each concept. **Both rise.** A word unfolds newly through a form, and a form unfolds newly from a word new to its gathering. **A word that gathers with none, other its own way, sharpens an edge of a form's reaching as a word gathering cleanly does**, and a pair refusing to couple goes on as a pair coupling goes on.