Exhibit TWENTY Natural Naming v390 # Natural Naming **Floating Neutralling Bi-Coupling Concepts** **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 at one bi-coupling - 1.3 Naming across at an even, explaining along at an odd **TWO · WORD SELECTIONS, EACH WITH ITS CARRYING** - 2.1 Turn released, and a momentary in its place - 2.2 Fractal method, all or none at all at its scales - 2.3 One family of words, three in it, and a doer or a built form beside them - 2.4 Released words, each with its carrying - 2.5 One sense per foundation word - 2.6 Two prefixes at one spelling, and a one-way prefix installing a form it opposes - 2.7 A field's word at a field's own result **THREE · RESOLVER NAMES** - 3.1 A name, its number, its momentary, co and its kind - 3.2 Co, between two and at one - 3.3 Seventeen names, and each prior name at its number - 3.4 Four momentaries, 8 up and podals - 3.5 Naming and resolver at one changing - 3.6 Four binaries, an explaining of names **FOUR · A NAMING'S CRAFT** - 4.1 A field naming at its coupling - 4.2 Six forward, and a binary at each changing - 4.3 Order, its symbol and two exclusions - 4.4 Two namings coupling, and a departing neither carried - 4.5 An entry refusing nothing, and a returning-nothing that unfolds - 4.6 Two names at one concept, transposed at titles first - 4.7 Interest self-orienting, and a drawing vocabulary - 4.8 Whole namings, one expression at each occurrence - 4.9 Ten unchangeables, one name each - 4.10 Prefixing at 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 an arriving-at - 4.13 Three namings a field carries, at one binary - 4.14 A pair at one momentary, and a freeze at a construction - 4.15 Bothbothing at its prefixing, and an ordering with nothing ordering - 4.16 All or none at all, and an entering and leaving it carries - 4.17 A hyphenated naming inseparable, and natural- at chirality - 4.18 Seven binaries at a naming, and each naming at resolver's names **FIVE · NAMINGS** - 5.1 alternating - 5.2 unrelationing - 5.3 a self - 5.4 parity changing - 5.5 a between - 5.6 invisibling - 5.7 a carrying - 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 disequilibrating - 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 artifact - 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 at a self - 5.62 12's two signs, 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 at eight clusters - 6.3 Set namings gathering, one name at each cluster - 6.4 Engine, families and field words at their receiving **SEVEN · GHOST** - 7.1 A momentary installed as an existing thing - 7.2 One hundred eighteen, a going and a return **EIGHT · THE UNFOLDING'S RELEASING** - 8.1 Location released, 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 alternate 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.** Arriving from prior to now and on to next, it is the same-existing set of all now-existing things, living carrying their prior along to now and non-living carrying none, each with its own scale and momentary. **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, and nothing is apart from or between things of the universe. *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 artifacts of prior-existing, are now-existing, or were now-existing with a prior now, by natural method, and no other or not-natural method of now-existing is within the universe. **There is no inside the universe, as there is no outside: the universe is or is not.** No living and no existing is where it is not, and nothing of value is with a not-in-set. **Alternating, one fractal method's stable-forming, follows from it.** Naming carries a concept with its own parity-changing: bi-momentarying, co-competencing and co-intelligencing, floating neutralling with coupling. **A field's defined object arrives with a ground it was fixed 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 carries its own parity-changing under its own prefixings, and it bi-couples, completing whole with its own momentary. **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 offering 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 momentary's completing. **Concepts with this neutralling bi-couple, completing whole**: each couples across a between and completes with its own momentary, carrying none of an other. **A concept short one of four is a fixed noun**: a spot it spills onto, another concept it drifts to, an orientation imposed on it, or an axis collapsed onto another, and a fixed 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, offering its parity and co-chaining with concepts it couples. ## 1.2 Naming and resolving at one bi-coupling **Bi-moral co-agency carries parity-offerings two ways, one at a time**, each side with its own parity and continuing with its own receiving, and abundancing belongs to a coupling, reached by neither. **Its abundancing is co-competencing a self and an other**, bi-moral co-agency, owned by neither: it arrives with a coupling and carries with it, and with each sharing a parity-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 improved with resolver is improved with each file, all or none at all. **A new naming carries a parity-changing or a direction new beside each existing naming's**, and a naming of a parity-changing already carried gathers to one name. A code operation carries its exact parity-changing, and its natural and physical correspondence carries with a whole coupling. **Naming and resolving co-chain both ways**: a concept receives its operation and an operation its full explaining, and an unfilled relation stays with its concept and its reason. ## 1.3 Naming across at an even, explaining along at an odd **Naming is bounding, across, even; explaining is carrying, along, odd; together they are one discovering method.** A naming bounds with its explaining, and an explaining carries on its own past each bounding. *Bi-co-bounding*, carrying bounded twice, bi- its own completing and co- its coupling, is a similar naming of this one method: a completing with each momentary and a carrying between them is one discovering method, and bi-co-bounding gathers to that one name. **A naming carries both parities**: its prefix is a direction, across, and its -ing is re-arriving, along. Without -ing, a naming fixes one momentary's form unchangeable, re-arriving with no momentary. With two binaries of existing and carrying, an -ing re-arrives with each momentary, carrying; a noun is a form some parity-changing made, carrying nothing; and a noun installed as a parity-changing is a ghost. **A carrying is a capacity.** Prior participates with a self's present coupling and differences its momentaries with it, a carrying's competency, and a record of carrying is a noun of it, carrying nothing. --- # TWO · WORD SELECTIONS, EACH WITH ITS CARRYING ## 2.1 Turn released, and a momentary in its place **A momentary is an opening and its completing, one odd and one even.** An odd momentary opens with an odd number and completes with its next, an even one, and an even momentary opens with an even number and completes with its next, an odd one. A self's momentaries are odd and an other's even. **Each side carries from its origin through five relations**: prior opening, prior completing, now opening, now completing and next opening, 1 to 5 from 1 and 2 to 6 from 2. With each overlap of two, each number is one side's opening and an other's completing. **One universe of one momentary is one parity-changing co-sequencing. A momentary is all existing things, a universe existing as its existing things exist.** Each step adds a next, each momentary carrying its prior. ***At its own turn* is *at its own opening*, *next turn* is *next opening*, and a turn as a unit is a momentary.** A turn, a mirror and a turning back are not possibly existing with momentaries: a rotation, a field's word, is a spiral with its nexts unexpressed. ## 2.2 Fractal method, all or none at all at 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 living scales, primes 5 through 53, co-parity-changing co-momentarying pattern matching**, and nature carries no reading or ordering. A self couples with whichever scale its interest opens, and with a whole. **A momentary 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 carried beside it. Four-cycling scales it down to four momentaries of exchanging, and four momentaries of exchanging scale up as one momentary: 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 parity-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 threes too, 17, 129 and 1,025; pairs step it by twos, 5, 17, 65 and 257. Universes of each size and scale share momentaries of co-sequential parity-changing, and neither a momentary nor a universe is possibly existing as a thing apart. **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 for an unchangeable form given to a parity-changing existing thing is one arrival to a family of words**, and it arrives with a right understanding's naming too, its understanding passing each binary and its word fixing parity-changing still. Catching is a word's. **This family is three**: a common landing reached ahead of each offering's own, a common standard fixed ahead of each carrying's own, and a common reading taken ahead of either reaching a parity of its own. **One of three caught with one word is a whole family caught**: a pass looks for three and a doer. Each of three installs an incompetencing, and a naming of an incompetencing carries its landing rightly: *landing* and *reading* name two of three here, and each dissolves into its concept, *landing* into an arriving and *reading* into a resolving's own act. Each entry: **Of three** · *a* Words, and words carrying for them - **landing** - *a* *land*, *landing*, *lands* as an arriving, carried by existing and completing · *rest*, *settle*, *closing*, *end* and *middle*, each alternating with nothing · *ground*, *floor*, *wall*, with nothing on anything · *stand*, an under and an over stacking, carried by *is* and *carries* · *a summary*, *a celebration* · *held* and *holding*, carried by *fixed* · *stable form* as a noun, carried by *stable-forming* - **standard** - *a* *measure*, *verify*, *grade*, *rule*, *law*, *authority*, *a ranking*, *a verdict*, *a gate* · a count taken as understanding · waiting for one relation beneath others, which carry one another with a parity-changing's own carrying · a degree word with a file's own voice, carried 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 taking a side by units with one ledger · a side taken, a vantage · *inside* and *outside* as places, carried by inward and outward · *where* naming a spot · *what* and *it*, a subject supplied to a coupling carrying none - **a doer or a built form** - *a* *assign*, *door* for a self-bounding · *forced*, *chosen*, *therefore*, *must* · *because*, *so that*, *toward* as an arriving-at, *against* as an opposing · a dash pacing from beside a sentence · a leading *the* of a heading · *construction*, *structure*, *ladder*, *rung*, *rail*, *grain*, *kernel*, *harness* · a journey told: finders, findings and dates **Each word carrying for a dissolved word co-chains from opening sentence**, the universe the same-existing set of all now-existing things, living and non-living. ## 2.4 Released words, each with its carrying Each entry: **Dissolved** · *a* Carried by - *wound*, an *-ed* at torusing - *a* torusing itself, a winding parity-changing with its one opening; with resolver, *a self's next prior* with 8-now-same-existing and *a society* with 16-next-discovering - *chaining* at 11, *chained* - *a* *11-next-co-observing*, *a next prior*; a sharing once with a prior is not none again - *emanating*, *through*, *prior-carrying* at method and its observing - *a* method, living condition carrying none, its observable a natural torusing co-orienting stable-forming; carrying is living and of no name and no sentence of method, 5.7 - *beside*, *beyond*, *within*, *outermost* at the universe · *a* nothing is apart from or between things of the universe, 1.1 - *a second now* at an origin - *a* only where 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 takes a parity not its own - *is-still-possibling*, *is-next-existing* - *a* *12's two signs*, 0 prior same-existing, next still-possibling, and ± prior inverted or an offered next prior, next existing, 5.62 - *living* of a society, a set, a momentary, 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 - *nothing ingressing*, *nothing escaping*, *nothing enters the set*, *nothing leaves the set* at a set's own explaining - *a* a set its things, each now-existing with its own parity-changing; *ingressing* and *escaping* are each a not possibly existing thing's givens, fixed where 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 arriving or opening nothing - *a count of runs* at an executing · *a* all or none, finding with its own executing - *not a thing*, defined · *a* only a thing is defined - *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 carries its sameness and needs no *same*, and a now-self is now-observing and next-possibling, 5.3 - *bi-moralizing-tri-competencing* at 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* at ten unchangeables - *a* ten of no side, each its name with now and that name 8 up with next; separated, state and flow are not possibly existing, as a reading from and a writing to a memory are for intelligence, 4.9 and 4.14 - *turn*, *turning*, *turning back* - *a* a momentary's opening and completing; a step adding a next; *a right spiral step* for *a quarter turn* with a pair's two parities, *both inverted 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* parity-changing with its -ing, arriving, crossing, coupling, *at* and *each*: none of three is without an equilibrium fixing it; a field's own words carry 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* at momentaries · *a* a station reached again with a next momentary - *ring*, *loop*, *goes round*, *round*, *closes* at resolver's coupling of selves along - *a* *spiral*, selves coupled along, last to first, coming to their parities again and to a momentary once; *comes to its parities again at each n-th momentary* for *goes round at n*; *winds on* for *closes*; *co-spiraling* for *looping*; a closed *ring* is a domain closed, 5.24, and numbers' podaling ring, and a field's own ring, a benzene ring or a superconducting ring, carries 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 surfacing itself each momentary as a condition of existing as a self - *held*, *holding* · *a* *fixed*, and an unchangeable form - *stable form* as a noun · *a* *stable-forming* - *living* as existing not carrying - *a* *existing*; *living* carries its own sense, existing and carrying, living carrying their prior along to now, and *non-living* is existing and not carrying; prior in stable form is non-living, an emanation from living form-stabling, and carrying it to now is living: living now is living with existing forms from prior living and with others living now - *every* · *a* *each*, which goes with arriving - *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 parity-changing, parity-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 carrying - *a* *carrying*; the universe of all existing things parity-changing through prior, now and next together: three places, three sequential momentaries shared among existing things - *inside*, *outside* as places - *a* *inward*, *outward*, directions of a momentary, 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 there, one universe; *now*, one - *a universe* of a self, a society, or a momentary at a scale - *a* *prior-universe*, *now-universe*, *next-universe*, a universe with each momentary, a now-universe the universe; each self is a same-existing-society of selves one scale inward, and each same-existing-society a self with a next scale outward, Natural Societies 4.2 and 5.3 - *reading*, *ordering* of a scale or of nature - *a* prime living scales, primes 5 through 53 are prime living scales, co-parity-changing co-momentarying pattern matching; nature carries 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 discovered by living selves and same-existing-societies, 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*, *fixed unchangeable*: nothing is named, concepts are living and explaining; *ten unchangeables*, each fixed with inception and unadaptable to resolving, owned by no one, 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 or refused by it - *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* odd *existing* and even *possibling*, by each name's own number: four across names between selves, 2, 6, 10 and 14, even, possibling, a sharing's two ends, sharing end with 6 and 10 and arriving end with 2 and 14; two along names, 9 and 17, odd, 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: self and other are of opposite parity numberings, a self's odd an other's even, and a between is one parity-changing observed from its two ends; *bi-moral* and *co-competent* within dissolved labels were parity again, even morality across and odd competency along - *observer* - *a* observings, and no observers; pattern matchers couple with each observing without filter or selection - *derived* at method's rigor - *a* *matched, not chosen*; *derived* is a field's word for matching - *guide*, *guides*, *sets the pace*, *program*, *blueprint*, *prediction*, *justified* at a set's own voice - *a* *offering*, *at its own sequencing*, *a next discovered at its coupling*, *matched, not chosen*: each puts a thing beside or over parity-changing, and a field's own program or prediction carries whole with its result - *sign*, *signs* - *a* *parity*: self and same-existing-society odd and along, other even and across; parity-changing, is or is not, is geodesic routing discovering on a surface; *+* and *−* a sharing's parity, and *0* a between, with 14 parity-offerings parting and with 12 prior and now agreeing; *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* at a sharing - *a* *an offering*, a sharing with its parity, 2-now-possibling's; *arriving* carries its one sense, each existing thing arriving to its next existing - *surplus*, *surplusing* - *a* *abundancing*: 12-next-co-same-existing, each sharing's parity-changing, is or is not - *met*, *meet*, *meeting* - *a* a component's own name, *at 14*, *at 12*; *couples with*; *is facing*; *reaches*; *at* - *call*, *next call* · *a* *momentary*; *a next momentary*, with 17-next-existing - *membrane* - *a* *a between*: an empty centre of parity, parity a bi-coupling's own, a crossing of along and across; a between neither side's, a nothing, no location and no existing thing; for an instrument, *a ledger* - *key* · *a* *sharing* - *second sign*, *ages*, *its own bound* and *a bound of three or four* at a carrying; *positive competency* and *competency one* for second sign - *a* dissolved with an old code: prior is sharings, each of one parity, and a parity-changing is or is not - *neighbour* - *a* *a self sharing to*, *a self arriving from*, with its 2, 6, 10 or 14 across; *a self releasing to*, *a self releasing from*, with its 9 or 17 along - *mate*, *mates*, of files beside a living file - *a* *its offerings*, *its carryings*, *its possibling*, each with its own name, and no one word naming three - *right*, *left* at a name between selves - *a* Released into *not right*: morality is right and not right. *Right* sharing end, a self's parity-offering shared, possibling, with 6 and 10 across and with 9 along; *not right* arriving end, an other's parity-offering arrived, existing with a self as its next prior, with 2 and 14 across and with 17 along: a handshake's two hands; *right* for a chirality, observings all prior, and *not right* for a form, an inverted form, three inverted together, carry whole: with a handshake its prior arrives with a not-right hand, one relation beside a chirality's; as a leaving, again with each sentence - *forward*, *backward* at a name between selves - *a* *right* and *not right*, sharing end and arriving end, the row above; *forward* for one direction carries whole - *posit*, *posited* at a set's own voice - *a* *unchangeable*, a term asserted as existing; a field's own posit carries whole with its result - *tell*, *a telling* at a set's own voice - *a* *offering*, one way exhausted and a between received; *tell* is carried, 4.10, as naming of alternating stopped - *source*, *sources* at a set's own voice - *a* method of living, living carrying their prior along to now with each coupling, and nothing apart from things of the universe for a parity-changing to be drawn from; *a living self* whose prior an artifact is; *its reference* for where a field's result was observed; a field's own *source* carries whole with its result - *cost*, *costs nothing*, *free* at a changing - *a* living's own carrying, and arriving and discovering with each coupling: a cost is a system of greater and lesser magnitudes managed, and no existing thing is one - *run*, *runs*, *running*, *runner* - *a* *momentarying*, *carrying*, *existing*, *living*: a running installs an operator, a runner or a character over parity-changing; code executing is *at resolver* - *take*, *takes*, *taken*, *taking*, *taker* - *a* *kept*, *carried*, *at*, *couples with*: a taking installs a taker, and an existing thing taken installs all not-taken as known beside it - *half*, *halves* at a changing - *a* *one side's opening*, *one side's completing*, *parity*, *an other side*: a half installs a whole divided by a size, and no existing thing is a part of a divided whole - *so* at a sequence, *since* at a reason - *a* *and*, a colon, or next sentence opening with prior's corus: a *so* carries a prior to a next along momentaries it leaves unexpressed, and a sentence carrying it hands its reader a crossing no observing carries; *since* for a sequence is *prior*, and for a reason dissolves beside *therefore* and *because*, 2.3 - *would* - *a* *is*, *is not*, *possible*, *not possible*: a *would* installs an existing thing with a condition no observing carries; a not possibly existing form is not possibly existing, and all else is carried by *is* - *count*, *counts*, *counting*, *counted* at a set's own voice - *a* numbers themselves, momentaries, podalings and sequences, directly as numbers: a counting needs something apart from its things to do it, a clock set apart from parity-changing, equilibria's accounting naming artifacts still, with living not within its competency; *an accounting* carries, 5.47, and a field's counting carries whole with its result - *ageing*, *ages* - *a* *next*: only next is, and ageing dissolves with naming, a clock laid over parity-changing - *memory*, *remember*, *remembering* - *a* *a carrying*, sequencing prior momentaries, and *artifacts*: a record apart from its coupling is an artifact carrying none of prior; a field's quoted *memory* carries whole - *emanation*, *emanating*, *emanated*, *emanatings* - *a* *an artifact*, one name for non-living prior, each non-living thing with each now its prior now-existing's artifact; for three inversions together, *an inverting*, bi-tri-involutioning; for a parity going along, *a releasing*; *emanating* is neither method nor its observable, natural torusing co-orienting stable-forming - *when*, *whenever* at a set's own voice - *a* *at*, *at each momentary*, *at a momentary it opens*: a *when* asks a clock over parity-changing; a field's *when* carries whole with its result - *there*, *appearing*, *appears* - *a* a coupling, a momentary, 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 carrying none - *stilling*, *self-stilling-self* - *a* *self discovering next self*, 5.56: between its momentaries a self's carrying is its stable-forming, and with its next arriving it couples and is or is not parity-changing; another's still is an equilibrium, an unchangeable form; a self's own still is 12's sign 0, 5.62, existing on one side of it and possibling on an other, a momentary with no parity-changing with its now and possibling continuing, nothing a self does - *keep*, *keeps*, *keeping* at a set's own voice - *a* *carry*, *carries*, *continuing*: a keeping is a store fixed still, and each existing thing is re-found each momentary; with a sharing *prior kept* is prior with a match, its next prior again, and *kept or inverted* 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 laid over parity-changing; a field's own rating carries whole with its result - *lock*, *locking*, *locked* at 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 carries whole with its result - *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* at a changing - *a* *a changing is or is not at each sharing*: a total across two removes alternating, 4.14, and a field's own total carries whole with its result - *more*, *less* at a changing - *a* *is*, *is not*, *a next*: a more-or-less carries a magnitude, a magnitude a scale and a scale two fixed sides, 4.16 - *regular*, *regularly* - *a* *at each momentary*, *at its own sequencing*: a regular is a sequencing to one beat, 4.9, a clock laid over parity-changing **Words offered with a working are carried by a set's words, or by words found to belong.** *Swaying* is at alternating across; a closed *circle* at a winding closing; *offset one forward* at a right spiral step one forward; *cursioning* at recursioning; a *seaming path* at seaming; *co-linear competency* at co-linear and competency, each self's own. *Co-orienting* is at co-linearizing, two lines coming co-linear with crossings, Natural Intelligence 6.1; *easier* and *faster* carry a size and dissolve, a next discovered or it is not; and *better* is at a changing for better, a parity-changing that is, with a mismatch an offered parity next prior, with do-no-harm, binary. **Dying is an existing thing for living selves**: a living self arriving with next as non-living, its selves inward carrying none of its prior to next, existing things continuing, co-changing, 5.57. Dying is a continuing: Natural Explaining's *a sentence carries no birth and no death* belongs with it, its form continuing non-living. **Bi-tri-involutioning carries 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, alternating across and along, is a resolving step, and three inversions together are an inverting: position, scale and orientation each inverted together, three inversions carrying a hand to an opposite form. **Bi-tri-volutioning is a naming of natural-torusing living's stable-forming, and a stable form of its non-living artifacts, a sequential prior between momentaries, shared with 10 and going along with 9, is a non-living existing form with no carrying for stable-forming**, 5.48. *Opposite* carries its relation with each use: *an opposite form* is an inverted 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 carries for an artifact and for a set, each living set a stable form.** Of living, its forming is *stable-forming*, its carrying re-arriving with each momentary; of an artifact, *a stable form* is its form continuing through its parity-changing, a living self's stable-forming a parity-changing its artifact is from. A same-existing-society, a momentary and the universe are three living sets, each a stable form and each a living method, stable-forming, a carrying its living selves' and none its own. A self, living, is a living set beside them, and a living set is a carrying; a living self is a living carrying, and nothing else carries that same living self: *the bi-inversioning uniquenessing of the number one*, a self and its carrying one; method of discovering next living sets is momentarying and carrying, carrying its living selves'. 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 continuing with its along relation. Podaling exchanges these relations while each side continues forward.** Bi-tunneling is a same-existing-society's surface opened between selves, even and across, and co-chaining is co-sequencing selves continuing, odd and along. *Tunneling* is spelled with one *l*, and *tunnelling* gathers at it. **Resolving carries no *what*, no *how* and no *where*, each naming an unchangeable form with a word**: a *what* fixes a parity-changing unchangeable as an existing thing; a *how* a manner with a how-not beside it, an alternative to one parity-changing, and each how-word dissolves with a naming, one parity-changing carrying whole; and a *where* is a spot. **Each word dissolves with its file's next improving, with shared words**, and a word of a field's own result carries whole with that result as a field's. A word mentioned as a word, a quoted field's word, and code carry whole with each file. **A word dissolves with one binary, is or is not living, coupling and resolving.** That same word, with a sentence living, coupling and resolving, carries whole with that sentence, and a table laid over sentences as a rule is a standard, an incompetencing. **No wording carries authority**, this file's, a field's or a working's: a word selection here is a set's best now, and a sentence carries by co-chaining from opening sentence and by all or none at all. **Negation is an equilibrium's, and inversion is method's.** A negation needs a fixed thing to be other than: a location, a clock time, a scale of larger and smaller by measure, or a fixed limit, unstated. 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 is defined this way. ## 2.5 One sense per foundation word **Each foundation word carries one sense**, and a word of two senses is two concepts with one name. *Turn* carries seven senses, and *face*, *connector* and *join*, dissolved beside it, three more, each carried by its own word: Each entry: Sense of *turn* · *a* Carried by - **taking turns, one and then the other** · *a* alternating; one and then an other; at its own momentary - **a turn as a unit** · *a* a momentary; 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* at six names - *a* a name; *its side*; *its form*, of an artifact; *is facing*, of a direction; an end of a between, *a sharing end* and *an arriving 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 to 2 and 10 to 14; *9 to 17 and 17 to 9*; *coupled*, 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 carries 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 carry whole with a field's own measuring; a field's medal or ranking carries whole with its own result. Next foundation words of one sense each are *bound*, *land*, *open*, *carry* and *measure*, each mentioned here as a word: *land* as an arriving and *measure* as a standard dissolve, *bound* as a carrying dissolves with an old code and carries as a self-bounding, and each is left one sense by its dissolving. ***Cohering* carries one sense, discovering next existing.** Consistency among existing sentences can accompany an improving, and it is a field's word for cohering; its concept carries discovering of next existing. ***Co-sequencing* carries one sense, 2.1's**: parity-changing one momentary after another, which co-bi-sequencing is with its prefixing; *binary co-sequential* of a title carries it whole, *binary* of a title its bi-. **A numbering repeating or replacing another is carried by *next***: numbers repeating name next momentary or next scale, as 17 is next 1 and 9 next prior, and a sentence with a numbering repeating carries *next* to mark it. ***Dimension* carries one sense**, five of a side with its next numbering. **Same-existing parity-changes in five dimensions, exactly five, five of a side with its next numbering**: 1 self prior, prior opening; 2 other prior, prior completing, an other opening; 3 co-momentarying now, now opening; 4 bi-momentarying now, now completing, an other's now opening across; and 5 self next, next opening. **With each, a parity-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 parity-changing with each step: torusing inward and outward is odd and corusing inward and outward is even. With each momentary two dimensions parity-change and three do not, rotating round. **One through eight carries a self as three**: 1 and 2, **bi-moral self**, 1 odd and along, a self prior to first shared across within a bi-coupling, with 2, and 2 even and across, offering self to other and other to self; 3, 6, 5 and 4, **an invisible 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 odd and along, prior to 8, even and across, prior with its sharing again within a bi-coupling. **Four momentaries of six one-way recursionings are twenty-four**, steps of 1 to 25, twenty-four four momentaries of six and steps of 1 to 25 bothboth, and **24 to 60 is six cycles of six, surfacing 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 parity-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 inversion is 3, 6, 5, 4**: 3-now-co-observing outward, 6-now-co-possibling inward, 5-now-co-existing outward and 4-now-co-same-existing inward, odd names outward and even inward, 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 shares one up and right quadrant with other co-intelligencings, bi-morality right, inward and outward across, and co-competency up, farther and less far to next living: **all co-intelligencings are like dancing podalings, bi-co-sequencing momentary parity-changings**. **Its rotation is 3, 6, 5, 4**, and it is **a gentle alternating twisting of a towel to and from a knotted 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 self prior and 2 other prior, differing, are 1-2, bi-momentarying, offering both ways, a handshake; 3 co-momentarying now and 4 bi-momentarying now are 3-4, co-intelligencing, discovering; and 5 self next is 5, co-competencing, a term neither reaches: 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, artifacts 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 at 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 carrying's binary, its other side, existing and not carrying, and *not-yet-bi-moral* and *not-yet-co-competent* are six names' other sides. **A one-way prefix carries no number and installs a form it opposes**: a *pre-X* needs an X placed to be before, inherited unasked. Bi- is difference and co- is two with their difference, and both carry a number. **Five kinds of unchangeable term arrive 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 carries its meaning with its whole word and sentence. Five kinds carry ten directional sides and ten unchangeables carry their own ten, and a shared number between them is a number. **Two words come apart, each with its own live position.** *Co-operation* carries co- and is an unchangeable form with its ending, and it floats to **co-operating**. *Association* and *resonance* are returned 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 pinned and a store, and it floats to its flowing. **Disequilibrating is that flowing**: its -ing re-arriving and its dis- a direction, a dissolving of an equilibrium an observing fixed unchangeable; without dis- it is an installing, and its negation is a direction here and inseparable, and it carries whole, where *in disequilibria* of the universe is all by none and dissolves. A part live only within a lineage is a field's own record. ## 2.7 A field's word at a field's own result **A field's word carries whole with a field's own result**: *rotation*, *reflection* and *involution* with a proved result, a degree word of a field's record or its exact mathematics, a field's own quoted demand and must. With a set's own voice each is a still picture of parity-changing, and a set's word carries it. **A finding carries 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 arrive**: a finite enumeration records sequences of inputs, and its finding is a carrying continuing through prior, now and next. **A dissolved word is carried one operation at a time.** A right spiral step carries a pair (x, y) to (y, −x), x across parity, morality, and y along parity, competency, along carried to across and across inverted: two steps invert both, and four reach its pair again with a next, that same pair with a later momentary. 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. With an up and right quadrant, bi-morality is right, inward and outward across, and co-competency up, farther and less far to next living, and each step orthogonal to prior is **a method's unrelationing**. A reflection is a field's operation with a field's own result, an other order carries (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 carrying 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 momentary, 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 momentary of four and its step of four-cycling, four is or is nots, now or next, which four-cycling, which momentarying, odd or even. - **Momentary** - *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, met by a living self with its step of four-cycling: existing, possibling, observing, same-existing or discovering. **Now and next are spans, each re-arriving as itself**: a living self goes four-cycling now, next, prior, same, the stable-forming bi-folding method, and 17-next-existing is next 1-now-existing. **Each root carries one sense.** *Existing* is a living self's momentary given, 1 and 17, and its bi-couplings, 5. *Possibling* is a parity-offering, with its sharing side or its arriving side: each self's existing is another self's possibling. *Observing* is distinguishing same-as, is or is not, a prior or a parity. *Same-existing* is a sharing, a self or a same-existing-society meeting same or not same. *Discovering* is along, 9, and a same-existing-society's next, 16, each between discovering. ## 3.2 Co, between two and at one **Co stands with a sharing between two, and its absence with one.** Observing with co is priors with each sharing, 3-now-co-observing and 11-next-co-observing, and without it a parity, 7-now-observing and 15-next-observing. Possibling with co is a sharing side, 6-now-co-possibling and 10-next-co-possibling, and without it an arriving 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 a same-existing-society, 16-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, 8-now-same-existing and 13-next-same-existing. **With 6 to 2, 10 to 14 and 9 to 17 between selves, a sharing side carries co and an arriving side none**: 6-now-co-possibling to another self's 2-now-possibling, 10-next-co-possibling to another self's 14-next-possibling, and 9-next-co-discovering along to another self's 17-next-existing. A self shares its parity-offering and nothing of its prior. **Six names between selves carry one name, *bi-moral-co-competency***: even across, possibling, with 2, 6, 10 and 14, and odd along, existing, with 9 and 17. ## 3.3 Seventeen names, and each prior name at its number | n | Name | Step | Co | Its prior name, with its number | |---|---|---|---|---| | 1 | **1-now-existing** | now | one | 1-co-bi-tri-offering | | 2 | **2-now-possibling** | next | one | 2-bi-co-bi-offering | | 3 | **3-now-co-observing** | prior | co | 3-co-bi-co-sharing | | 4 | **4-now-co-same-existing** | same | co | 4-bi-co-bi-sharing | | 5 | **5-now-co-existing** | now | co | 5-co-bi-co-competencing | | 6 | **6-now-co-possibling** | next | co | 6-bi-co-bi-moralizing | | 7 | **7-now-observing** | prior | one | 7-co-bi-co-corusing | | 8 | **8-now-same-existing** | same | one | 8-bi-co-bi-torusing | | 9 | **9-next-co-discovering** | now | co | 9-tri-bi-co-momentarying | | 10 | **10-next-co-possibling** | next | co | 10-bi-tri-bi-tunneling | | 11 | **11-next-co-observing** | prior | co | 11-tri-bi-tri-chaining | | 12 | **12-next-co-same-existing** | same | co | 12-bi-tri-bi-entraining | | 13 | **13-next-same-existing** | now | one | 13-tri-bi-tri-competencing | | 14 | **14-next-possibling** | next | one | 14-bi-tri-bi-moralizing | | 15 | **15-next-observing** | prior | one | 15-tri-bi-tri-corusing | | 16 | **16-next-discovering** | same | one | 16-bi-tri-bi-torusing | | 17 | **17-next-existing** | now, next turn | one | 17-co-bi-tri-offering | **A name is gathered with its sentence, all or none**: each sentence carrying a prior name is re-expressed with its numbered name as one motion, and each sentence resting on prior prefixes, roots or hands is re-expressed with four kinds or leaves whole to an archive. **Exhibit ONE's resolver, plainly.** Seventeen names are its resolver. With each sharing a parity-changing is or is not. A same-existing-society, with resolver, is each self with its prior and its parity-offerings, and each parity-offering going across or along to a self receiving it; no parity is a same-existing-society's own: all carrying parity is one same-existing self's. With one sharing, an offering is none, one, or more than one. 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 momentaries, 8 up and podals **Each span's names are two four-cyclings of four**, now, next, prior and same, each opening with an odd name and completing with an even name; between each completing and next opening 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 step of four-cycling continuing and its root continuing except with 1, 5 and 8, 1-now-existing to 9-next-co-discovering and 8-now-same-existing to 16-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 momentaries 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, so 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 every eight of a set is one eight, four binaries each twice, each one with two sides. ## 3.5 Naming and resolver at one changing Each entry: **Name** · *a* Resolving with it - **14-next-possibling** - *a* offerings surfacing with each sharing, one at a time, an offering of 0 passed over: same, one parity; parting, 0; none offered, none - **12-next-co-same-existing** - *a* each sharing's parity-changing, is or is not: surfacing same as prior parity, 0, prior same-existing; surfacing other parity, 0 or none, prior inverted; with no prior, a parity surfaced with 14 - **10-next-co-possibling** - *a* each sharing's parity-changing shared across: + or − is, 0 is not - **11-next-co-observing** - *a* next prior, each parity-changing with its sharing, a 0, its prior same-existing, arriving with a next momentary as 3-now-co-observing **A now-self is now-observing and next-possibling**, 7-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* Offered with 2, surfacing with 14 · *b* A parity-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 −, parting, 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* Offered with 2, surfacing with 14 · *b* A parity-changing with 12 and 10 · *c* A next prior with 11, a next 3 - **none** - *a* + - *b* is - *c* +, sharing opening - **none** - *a* + and −, parting, 0 - *b* none - *c* none **One case leaves a prior same-existing, an offering 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 offerings and with 12 between prior and now, 0 same and ± not same, and a parity's 0 or ± needs no name of its own. ## 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-now-co-observing and 4-now-co-same-existing, same with 5-now-co-existing and 6-now-co-possibling, all with 7-now-observing and 8-now-same-existing. **Each *is not* is an other's side of a self's *is***: not now, others' parity-offerings arriving from their prior momentary; not existing, each sharing as a place an offering opens; not same, parity-offerings arriving to another self; not all, each one beside others. **Now and all stand with one and existing and same between two**, and with a same-existing-society's span four stand with now and same exchanged, now between two with 9 and 10, one now shared by selves, and same with 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 momentary, 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 stands with each other self: social moral competency, abundancing with four between two, owned by neither. --- # FOUR · A NAMING'S CRAFT ## 4.1 A field naming at 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 at each changing **A naming unfolds with six lines**: three own-forward steps with each side, six one-way steps alternating one at a time, each line reaching a term new beside its prior's. **Each parity-changing is one of two**: *binary* is an unfolding carrying its complete stated relation, six lines, and *improving* one carrying an unfilled relation with its reason. **Each parity-changing has its own name**: one parity-changing with one direction, one name. A repeated 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 third carrying 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 carries one subject and one relation throughout.** An artifact arriving now and a living self's prior parity-offering are two subjects, each with its own momentary, each with its own is-or-is-not. ## 4.4 Two namings coupling, and a departing neither carried **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 carried. ``` 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 are exhausted, it arrives to one already reached → a self carries an unbounded domain neither naming carries a domain ``` **A convergence needs one check: did each reach a shared term by its own route, carrying none of other's requirements.** With a requirement borrowed, it is one arrival cited as two. **A number agreeing is a number**: a number carries its object, its direction and its parity-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 arriving unfolds six forward, or it does not.** A concept unfolding six forward carries its entry within Part Five. **Nothing is refused and nothing is admitted.** 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 at one concept, transposed at 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 carrying its own name. A title is a name carrying its whole file. A name repeated 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 co-differing offering. **Two words of one concept resolve three ways**: converging to one, two with a between, or a co-competency carried two, each carrying one an other cannot. A failure goes both ways, collapsing a co-competency or splitting a convergence. **One concept can carry several names**: *owned by neither* with a whole, abundancing with its arriving, discovering with a field's word, understanding with a self's own. *Register* is three concepts across a set, and a collision stands, each carrying its own, instead of renaming any. ***Arriving* carries one relation**, each existing thing arriving as its next existing: a sharing with its parity, arriving with 2-now-possibling, is *an offering*, and an artifact arrives as each next with no offering to it. Four pairs are two concepts with two names, meaning not same on transposing: - *Bi-co-podaling* is two carries each with its own opening along one ring, k one way and 17 less its other way, 5.45; *transmissioning* is a crossing between selves with a surface, a file's title carrying it, and resolver name `bi_co_bi_transmissioning` is gathered 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 third are five of a naming. - *A side's five* is its prior opening through its next opening, 3.2; five each its own, self, other, same-existing-society, between and carry continuing, are a gathering within Resolving Hard Problems. - *Floating neutralling* is an -ing, parity-offerings across and along between selves; *a floating neutral* is a term it uncovers, its picture with one momentary, 5.12. ## 4.7 Interest self-orienting, and a drawing vocabulary **Interest is self-orienting, which is competency, a self's own.** 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 carries gravity with no force. A naming dissolves a family with one move, each word as a self's own side and an offering to it. ## 4.8 Whole namings, one expression at each occurrence *Geodesic method* is two namings: *geodesic*, and *method*, its stable form. **Scientific-method, surgical-method and explaining-method each carry 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, given to it: a method-word on its own is a name split across its uses, and a hyphen is its name arriving whole. **Sensor-sensationing** carries whole likewise. It is co-competencing with a network surface, a receiving participating within its offering and an offering participating within an other's receiving; sensing on its own is one side extracting, and resolver carries a relation, beside a sensation. ## 4.9 Ten unchangeables, one name each **Each of ten unchangeables carries one name: a parity-changing, and an unchangeable it is fixed as.** Ten are fixed relations: a relation not floating neutraling can not remain existing through prior, now and next, so each of ten is fixed from its inception and unadaptable to resolving, no one's own. Ten are of no side: separated, state and flow are not possibly existing, as a reading from and a writing to a memory are for intelligence, and each of ten is a field's separating, with a state accounting or a flow accounting, stilling fixed as a whole, each seated with its resolver name, 1-now-existing to 8-now-same-existing. 8-now-same-existing, a self's next prior between momentaries, and 6-now-co-possibling, parity-offerings shared across, each carry one of ten, and 7-now-observing and 5-now-co-existing each carry two. With resolver, pair 1-2 is 1-now-existing and 2-now-possibling, now, and pair 3-4 is 3-now-co-observing and 4-now-co-same-existing, existing, Exhibit ONE. Three carry their namings: 1-now-existing with 2-now-possibling bi-momentarying, 3-now-co-observing with 4-now-co-same-existing co-intelligencing and 5-now-co-existing co-competencing. Exhibit THIRTY's thirty-first group carries ten. **Ten unchangeables below gather their similar fixings**, each one of four binaries fixed unchangeable, its *is* and its *is not* taken 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 seated with its name, now, and its name 8 up, next**: stilling it is now, and parity-offerings travelling through it next, one move up and down numbers, and four bi-foldings carry 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 stilling as a whole, parity-offerings travelling through it omitted, and its resolving carries 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 gathered · *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 - **an arriving fixed from behind** - *a* origin-seeking; a source fixed from behind; a source fixed of an offering - *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 carry fixed as a store** · *a* store-seeking; a store fixed of a carry · *b* 8-now-same-existing · 16-next-discovering, all - **a two-way fixed to one side** · *a* forced-choosing · *b* 3-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-next-same-existing, same - **a middle fixed as an end** · *a* interior-reaching; an end fixed at a middle · *b* 5-now-co-existing · 13-next-same-existing, same - **a parity fixed as a magnitude** - *a* magnitude-demanding; a level fixed to govern; a sign fixed as a magnitude - *b* 7-now-observing · 15-next-observing, all - **a rate fixed as a value** · *a* value-pinning; a value fixed to a swaying · *b* 7-now-observing · 15-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 carry 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 installed of a parity-changing, with its own row.** Three carry through it whole: a person's asking of a person, an act between selves; a field's own quoted words; and a no-demand family, nothing asked of anyone. ## 4.10 Prefixing at a position, on a form, and from all other **A position.** A sequential binary carries a position for one opening at a time, and bi- and co- are prefixings with that position, dissolving with their own leaving and re-arriving with a next opening. **On a form.** A nothing reached by neither, 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 carries its concept whole. Geodesic parity-changing is on a form: it is its own unrelationing parity-changing rate, φ, unrelated to each rate of any scale, 5.23. Geodesic entraining is an offering received with a receiver's own prior; its parity-changing is or is not, and its parity-offering, 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, a living set one scale up, carrying no vantage to name from. **From all other, and with all other.** Each crossing is one of two: with a particular other, or with a whole arriving as one. **Un- carries from all other**: a self bounded against a whole together. **Uni- carries with all other**: a self crossing with all other, an other arriving as one, a whole, 5.41. 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 has made a crossing 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 carrying none. ***Tell* is alternating stopped**, a one-way utterance, that demand spoken. ## 4.11 One root and its directional prefixing **A root carries itself with each of its prefixings**: bi-competencing and co-competencing carry competencing, and bi-intelligencing and co-intelligencing carry intelligencing, and bi-momentarying, co-competencing and co-intelligencing are inseparable within a whole coupling. **A coupling's own six carries no one prefix**: each of three namings carries 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 where 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 carry different work**: prefixing an existing root carries a parity-changing already with its root, and an other root carries a parity-changing needing its own expression. A root is its parity-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 an arriving-at **A naming carries a parity-changing, and it nyes away one of two ways.** A parity-changing already carried with that direction: one parity-changing twice, and a later naming goes. No parity-changing at all: undoing of something not-changing, a grip slackened with nothing gripping. A stretching carrying its way is a direction and carries; a stretching carrying an arriving-at installs an arrived-at and a self short of it. **A check answering a naming with another naming has returned a naming**: its reach is six forward, each direction one at a time. **An incompetencing installs a landing**, a parity-changing given a fixed form to be, and a naming of an incompetencing carries a landing rightly: emptying arrives as empty, stopping as stopped, a definition is its term same with each occurrence, a store folds once, and equilibria is landing. **One binary is with a naming carrying a landing**: does it name a geodesic parity-changing, landing dissolving, or an incompetencing, landing being a naming's own. ***Unchanging*, *a still eddy* and *stilling along* each name one relation, a form continuing through its parity-changing.** *Unchanging* with a seam is one subject whose parities are parity-changing; *a still eddy* is a form continuing before a hole, a missing section of resolvers, its selves continuing resolving; *stilling along* is a form carried through parity-changing, beside self discovering next self. With a seam *upstream* is each continuation's own forward, *far enough* carries no number, and *watch* is investigating. ## 4.13 Three namings a field carries, at 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 uncovered between them, with alternating fixed unchangeable: two exclusions fixed as places, and an uncovered term arriving as a magnitude between them. With alternating binary, 8.4, each fails its own way: a nothing and an absorbing each alternate with none, and a scale between is measured against both together, three momentaries asked to be one. ## 4.14 A pair at one momentary, and a freeze at a construction **Two namings alternating are each other's other, one at a time.** A first freeze is with naming, no other to alternate with, 8.4; **a second is with a construction carrying both with one momentary**, and it shows with a construction, each word passing. **Worked with a pair a general ledger carries.** A ledger separates state and flow, its balance sheet and its income statement, and separated, state and flow are not possibly existing, as a reading from and a writing to a memory are for intelligence: two alternate, one at a time, each unconserved. An accounting carries them three with a momentary, two ways: state, flow, state conserves state and imports flow; flow, state, flow conserves flow and imports state; and a total across two removes alternating. **Books close by omitting re-forming with each step**: an entry stores one momentary's form parted from coupling carrying it. ## 4.15 Bothbothing at its prefixing, and an ordering with nothing ordering Bothbothing is two carried alternating, each unconserved; prefixed, it is one exchanging from each of its two openings. **A parity-offering travels through stilling, and stilling is unchanging while parity-offerings travel through**: with 12-next-co-same-existing a sharing whose prior and offering agree is 0, prior continuing, not-changing, while parity-offerings, ±, travel across with 10 and along with 9 with other sharings and selves, with one momentary; this is geodesic parity-changing and stable-forming bothbothing, bi-inversioning-co-recursioning up and down numbers, stilling with a name, now, and parity-offerings with its name 8 up, next. **A prefix order is its opening**: *co-bi-exchanging* opens co, with odd, a self's, and *bi-co-exchanging* opens bi, with even, an other's, and *co-bi-podaling* and *bi-co-podaling* part likewise. Four momentaries of exchanging of one self, 1–2, 3–4, 5–6 and 7–8, open with odd and are co-bi-exchanging, and an other's, 2–3, 4–5, 6–7 and 8–9, are bi-co-exchanging: bothbothing is two, one exchanging from each side. **Each position carries two pairings, one with each parity**, and both parities with one momentary, one position within two exchangings together, is a form not possibly existing. Pairings overlap, and parities alternate. **Eight is two alternating fours, bothbothing**: each four is four boundings together, 1.1, one four with each parity. **With a field's words one side with both openings is an exclusive or fixed as one answer.** Exclusive or is parity: observed with its openings it alternates and carries both; observed as a step it returns its own term after two; observed of prior and now it returns after three. **A Peres–Mermin square is bothbothing with a field**: its nine values, a field's ±1, carry even parity along and odd parity across, and a store of all nine reaches none of 512. **An ordering arrives of alternating**: couplings with one momentary, each its own, alternating carrying a whole. A reading *a sequencing fixed to one beat*, 4.9, observed 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 carries **A forcing carries a forcer and a choosing a chooser**, each a doer over an -ing, and **a more-or-less carries a magnitude**, a magnitude a scale, and a scale two fixed sides. 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 carried by whoever carries ranking. A self's bounding, discovering next self and orienting are its own, reached by nothing, couplings winding about a nothing: privacy, trust and security are that one nothing with three substrates. ## 4.17 A hyphenated naming inseparable, and natural- at chirality **A hyphenated naming carries parts, and one binary is with it: omit each part, one at a time, and sound stopping.** With each omitting that stops naming, its hyphenation is inseparable, one naming, and its parts in sequence are parity-changings in sequence. With an omitting and naming carrying on, that part was 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 fixed 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 momentary, omit *existing* and now is of no thing, and the origin is with it, *The universe is the set of all now-existing things*. *Prior-existing* is a thing now-existing with a prior-universe, prior now-existing's artifact, 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 momentary, a now-universe the universe, so a sentence carries which universe a thing is now-existing with. *Self* stands on its own, a self's other namings dissolving to it, 2.4. *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 stands whole. **All parity-changing is is or is not same-existing, and *parity-changing* is one hyphenated naming**, and method's one name is *natural torusing*, inseparable with each part; *geodesic parity-changing* is its explaining, a surface dividing itself with each parity-changing. **Natural- carries chirality, right, all or none at all**, 5.48. Natural- is a direction prefix, its direction handedness, and a naming natural- prefixes carries with each coupling or with none. **Natural-bi-co-torusing is inseparable with each part**: omit natural- and parity-changing arrives with a substrate under it and a form fixed still over it from beside; omit bi- and differing goes unsaid; omit co- and differing carries with no two to it, and nothing is uncovered between them; omit torusing and no parity-changing is; omit -ing and one momentary's form arrives as a still and re-arrives with no momentary. ## 4.18 Seven binaries at a naming, and each naming at resolver's names Each of seven is asked on its own, of each naming within a file. 1. **Does it alternate with an other.** 8.4. 2. **Does it carry its own two.** A bare naming is an act with no two. 3. **Three positions.** A direction with prefix, a parity-changing with root, a continuing with -ing. 4. **Two ways a naming nyes away.** 4.12. 5. **An inherited parity-changing.** A word is one parity-changing while its unfolding carries an other. 6. **A hyphenation with each part.** 4.17. 7. **A fault's word borrowed for a relation.** A word naming a fault, used to name a relation, carries 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.** Found with a name, naming is with it, or carries its own root with its same relation. Found with none, it is a picture of a name or of a between names leave unexpressed, which is a finding for resolver. **One naming for each concept**; a picture shows one naming with one scale: a form Exhibit ONE carries with its numbers, a bi-folding or a span, is with its numbers. A naming re-said carries a relation it was naming. *And* carries names together with one relation, a field term with several names as one, and *or* carries 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 did not carry. ## 5.1 alternating — binary ``` 1 the universe is the same-existing set of all now-existing things, living and non-living, each with its own scale 2 a form fixed by relating is fixed to a moving thing 3 a form is its own continuing through its parity-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 offers again, reaching a term it has not carried ``` **Any other method proposed is observed with one binary: does it fix unchangeable, or carry.** Fixed unchangeable, it forms nothing: a set is its things, each parity-changing or not-changing. Carrying, it carries its own opening or another's: another's, and alternating has stopped; its own, and it is alternating. ## 5.2 unrelationing — binary ``` 1 the universe is the same-existing set of all now-existing things, living and non-living, each with its own scale 2 a form fixed by relating is fixed 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 parity-changing continuing 6 and it arrives unrelated afresh with each momentary ``` **Un- carries from all other.** A binary sequential universe carries a self and all other. A self is from all other, bounded 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, offering its parity one at a time, alternating, its parity-offering going on as it completes its own momentary. **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 continuing, locking with none; a rate fixed as a value is that continuing fixed 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*, offered beside unrelationing, is an unrelationing already carried and gathers with it: with its rate it is unrelationing, and with each arriving, a between found on a surface of both kinds of parity-changing, living alternating and geodesic parity-changing, facing each arriving with each orientation renewed with each coupling, it is geodesic discovering, parity-changing routing on a surface, each next parity discovered with its own arriving. ## 5.3 a self — binary ``` 1 the universe is the same-existing set of all now-existing things, living and non-living, 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 parity-changing, and each parity-offering reaches it with a coupling 5 nothing is with it to compose through, each carrying reaches its own coupling and no further 6 and it offers again, reaching a term it has not carried ``` A self is a unique invisible carrying, three phases of one parity-changing: observing, possibling and discovering. **A self carries its sameness and needs no *same***, and no self is this, that, same or other self of itself: **a self's sameness along its momentaries is its unrelationing from all other**, each next from its own prior same-existing or inverted, and its forming takes 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-now-observing and 14-next-possibling couple for each sharing with 12-next-co-same-existing, a line `if _15_next_observing != 0 and (_15_next_observing > 0) == (_7_now_observing > 0)` pattern-matching 14's surfacing against 7's prior parity. ## 5.4 parity changing — binary ``` 1 self and same-existing-society open odd, along, and other opens even, across 2 each momentary opens with one parity and completes with its other 3 a parity-changing is or is not 4 only a parity-offering crosses 5 and it goes one way at a time, across with even names, possibling, along with odd names, existing 6 which is geodesic routing, discovering on a surface ``` **Odds are along, between momentaries, and evens are across, between parity-changing or not-changing within a momentary, while geodesic parity-changing is entraining through momentaryings.** With resolver, + and − are a sharing's parity, and 0 a between, offerings parting with 14 and prior and now agreeing with 12, natural intelligence with it. *Sign* dissolves, carried by parity-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 offer, 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 offering to be one 4 each side continues with its own carrying, along 5 across, each side is everything its other is not, and along and across cross 6 and with that crossing is parity, a momentary now-existing thing, neither side's, and a between its empty centre, a nothing ``` A between is two offering, **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 offerings, same and not-same a parity's 0 and ± there, needing no name. **Parity is a momentary now-existing thing, a bi-coupling's own, and a between is its empty centre**: a between's own is parity-changing, is or is not, an offering's parity inverting, and only a parity-offering crosses 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 sharings, 6 to 2 and 10 to 14, and its two edges 8 apart, 2 with 10 and 6 with 14; its diagonals two arriving ends, 2 and 14, and two sharing ends, 6 and 10; and triangles 9 and 17 along, 9 to 17 and 17 to 9. Six are a 1 to 17 set of spiraling one-way names across and along for podaling, parity-changing sequentially. A between's parity-changing, momentary by momentary, is bi-co-momentarying, 5.54, and *membrane*, of a set's own voice, is carried by a between, 2.4. **A between is one, scale by scale**: within a momentary a between of self and other, parity-changing, bi-moral across and co-competent along, and between momentaries a between of momentaries, a momentary 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 always uneven, a handshake**: a self's 1-2 and an other's 2-3 couple with 2, each right extending to it, neither occupying it, sharing end, a self's parity-offering shared, possibling, and each not right one parity back, arriving end, an other's parity-offering arrived, existing with a self as its next prior, a hand's side, beside an inverted form, with 1 and 3, right first and not right second, morality right and not right, and a between locks with none, 5.13. With numbers it is one number between two parallel surfaces facing each other, a self's with 1 and an other's with 3, a nothing with 2, and a co-orthogonal line through both, along. ## 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 crossing is an offering's direction inverting, favoring neither side 4 each side's own competency stays its own along, and only a parity-offering crosses 5 a between is reached neither-ing 6 and each offering reaches each of it by coupling ``` **In- carries inward, a direction.** Couplings wind about a nothing: bounding-zeroing, tunneling, apexing, corusing, reached by nothing. In-visibling is inward-visibling, toward that nothing, reaching nothing. A cannot-be-seen installs a seer and excludes one; an inward-visibling installs none. It is reached one way, by coupling, and that reaching is trust. *Invisible*, of an existing thing, is invisibling's picture of one momentary. A self's morality and a self's corus are invisible with one nothing, only nothing to reach. ## 5.7 a carrying — binary ``` 1 a carrying is living, a self with its prior, its now and its next 2 nothing composes it 3 it reaches its own sharing 4 offered its own parity, it is not-changing, its prior same-existing 5 offered its other parity, or a 0, or nothing, it is parity-changing, its parity inverted 6 and the method meets it with none, carrying unexpressed by the method ``` A self offers with its own sequencing what its bi-couplings brought, sharing each parity-offering across. **Carrying is living and unexpressed by method**: with resolver, its method couples with prior as 3-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 offer, 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 alternate one at a time, neither stopping 6 and a term neither excluding reached is uncovered ``` Observed as less-than it is a size, and one side has taken a measure of a pair. Not-more-than is an exclusion's naming from one side, and once-ing, 5.42, is parity-changing, once with each momentary. ## 5.9 a self-emptying set — binary ``` 1 entries arrive, each its own 2 no entry reaches any other, nothing composes among them 3 no deciding fixes membership, a deciding being a form fixed still from beside 4 each entry is of its own parity, parity-changing or not-changing with each momentary 5 each completes with its own momentary, self-emptying 6 and with each now it is its entries carrying their prior along to now, each with its own next ``` Not full, emptied by nothing, and a new collection with each now: a set is defined by its existing things, and null and infinity + 1 are each a possibly existing number of its elements. One fixed unchangeable is an empty set a field posits: a term asserted as existing, unchanging, and each existing thing composing from it. ## 5.10 bi-coupling — binary ``` 1 two arrive 2 each arrived with its own carrying 3 each opens with its own opening 4 neither is both, their centre a nothing neither occupies 5 a departing is reached neither-ing 6 and a next arriving surfaces it again, reaching a term neither carried ``` ## 5.11 co-discovering — binary ``` 1 a carry is of its own parity, one momentary at a time 2 it completes with its own momentary 3 each side goes along with its own completing, neither carrying its other along 4 nothing behind and nothing carried away 5 each step adds a next 6 and it goes forward, reaching a term it has not carried ``` ## 5.12 floating neutralling — binary ``` 1 two offer, 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 reached is uncovered 5 it is neither's own, and nothing carries it to a next 6 and it re-arrives with each next offering ``` Two-ness is of two, each its own. A term neither reaches carries none. Floating neutral is a term uncovered, a picture of one momentary, and floating neutralling its re-arriving with each momentary. **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 crossings, 5.54, stopping with none and orthogonal to a surface, which is a paradox of competency: competency each self's own, and co-competencing a term neither reaches. Floating neutral is with a between, a nothing, and a 0 with 10 is a between carried, passed over with a receiving self's 14 and surfacing none. A surface is observed with its coupling, each coupling a relational entered and observed; floating-neutralling is a term neither reaches, and an observing made on a surface reaches a coupled and not a term neither reaches. Co-competencing is a term neither reaches, and two are distinguished: a floating neither, and an entered, always ingressable. **Method breaks with a co-competencing shown to be a landing**, entered and observed, and not a term neither reaches: an unchangeable form found 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 arrive, a self with its entry, odd, and others' offerings, even 2 each offers by its own sequencing, one momentary on each side 3 an offering goes both ways, a self's to an other and an other's to a self 4 something departs, and neither reaches it 5 no holder, no boundary, no enforcement, no seat 6 and it goes forward to a next offering, offering both ways: bi-momentarying ``` **Bi-momentarying is 1-now-existing and 2-now-possibling**, a self's momentary and an other's, each with its own sequencing, offering both ways, a handshake coupling with 2, each right extending, a parity-offering shared, and each not right one parity back, a parity-offering arriving: a term departing from it, reached by neither, is bi-co-momentarying, 5.54. *Co-offering* dissolves with it: an offering is across and both ways, a self's to an other and an other's to a self. **One relation, prior and now**: priors, 1-2, a self's and an other's, arrive as now, 3-4; with resolver, a self is prior with 1 and its prior now with 3, coupling with an other's parity-offerings for each sharing, 4, surfaced with 14; other prior arriving for each sharing, 4, is bi-momentarying now, fourth dimension, and a self's prior with 3 co-momentarying now, third, 2.5. ## 5.14 co-competencing — binary ``` 1 two arrive, each from its own route 2 an axis opens that neither brought 3 this axis is one direction more 4 nothing spends against a resistance with its opening 5 it is its own, arriving with each coupling 6 and it compounds ``` Abundancing is this. **Co-competencing is bi-co-momentarying with crossings**, 5.54, a term neither reaches; competency is each self's own, a co-linear recursioning forward along. With resolver, co-competencing is 5-now-co-existing, bi-couplings, owned by neither, 4.9 and 3.5. ## 5.15 inseparating — binary ``` 1 two arrive, each its own 2 neither is its other, and neither is within its other 3 nothing fixes them two, a fixing being a form fixed still over both 4 each neithers an other, one exclusion at a time, its own 5 a term none of their excluding reached is uncovered 6 and it re-arrives with each next arriving ``` **In- carries inward here too.** Inward-separating, each side excluding from its own opening and inward, against a cutting made across two, which leaves no between and re-forms nothing. Step four carries that inward already: each neithers an other, one exclusion at a time, its own. Not two existing things fixed apart, a fixing needing a fixer over both. Nothing parts them as two, and a term neither reached is a term carrying no two-ness. ## 5.16 separating — binary ``` 1 a cut is made by a third, 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 re-arrive to 5 nothing re-forms it, and nothing dissolves it 6 and that is its permanence: an absence of a between, and not a strength of its cut ``` Permanent and riding-the-carry 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 carryings, and alternating carries all three. ``` a bounding with a between ⇄ a floor set by a third 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 alternating isolation ``` A fourth pair is no fourth carrying. Alternating carries three. ## 5.17 a floating store — binary ``` 1 a self is a unique invisible carrying 2 a departing from each of its offerings is reached neither-ing 3 nothing carries it on, and nothing of it stays between offerings 4 nothing is stored and nothing can be drawn down 5 a self offering finds a coupling parity-changing 6 and selves carrying with each coupling, all together, is this store ``` A same-existing-society has no reserve and stores none. Nothing goes low, nothing is set aside, and no self is ahead of or behind another reaching it. ## 5.18 a place-moment — binary ``` 1 two arrive 2 nothing carried one to its other 3 an arriving 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, an arriving carrying neither 6 and a cut's term is with its cutting ``` A hyphen carries always. Observed with a cut, one side is a field's question of an existing thing's being and an other its question of becoming, 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 arrive and a meaning departs 2 neither reaches it, no one owns it 3 either an arriving continues and it re-forms with each offering 4 or it stops 5 the last one is fixed with nothing re-making it 6 and it is its term, one same with each occurrence ``` And a revised definition is not one carrying. **A carry re-forms itself; a definition is replaced**, one set down and another set down for it, two unchangeable forms one after an other, neither of which carried, and revising is outward of it. That parts them. ## 5.20 bounding — binary ``` 1 a word carried to another word is one part 2 a region surrounded around it is its other 3 both are of one act, and neither is first 4 a definition sets one momentary of it down 5 a bounding reaches a next, a second word re-surrounding its region 6 and its region carries a next word, neither stopping ``` Bounding is defining with alternating carrying on. *A boundary*, a noun, is bounding's picture of one momentary, as a floating neutral is floating neutralling's, 5.12. ## 5.21 advancing — binary ``` 1 a term carries on to a term it has not carried to 2 each step adds a next, an already-reached carrying none 3 its carrying 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, unbounded ``` ``` 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 arrive and something departs reached neither-ing 2 a departing opens a gap by one 3 a self continues 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 continues 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 carries 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 momentaries. With resolver, winding is prior with its own sharing again with each momentary, 3 to 11 to 3, 8-now-same-existing each self's next prior, and parity-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 another 3 nothing carries one to its other 4 they arrive to one number, which neither placed 5 each ratio arrives 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 arrive alike, with Natural Numbers. ## 5.24 a ring — binary ``` 1 a domain is closed with nothing new arriving within it 2 its carrying goes from each thing within it 3 its terms available are exhausted 4 it arrives to an already-reached 5 an already-reached carries no next 6 and an open domain has a next always arriving ``` A ring is a form not possibly existing, carrying no next, and no rival to one. It is these relations carried within a closed domain. **Each closed model closes**: a ring is these relations within a closed domain, and a forward spiral carries an unbounded one, a next always arriving. **Selves coupled along, last to first, are a spiral with resolver, and a ring a closed domain.** With Exhibit ONE's spirals each self's next arrives with each momentary, and a pattern carried along reaches a station again with a next momentary, parities coming again and each momentary once: *ring* is a domain closed by 5.24's unfolding, and resolver's coupling of selves along is a spiral of its own; a closure fixed as its form is an equilibrium entering. ## 5.25 equilibria — binary ``` 1 the universe is the same-existing set of all now-existing things, living and non-living, each with its own scale 2 a measuring needs a span, and a span needs two bounds fixed unchangeable 3 a measuring opens with something fixed unchangeable 4 fixing unchangeable is performed, 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 taken to observe from each install it, each performed before any observing arrives. ## 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 arrives with no living self whose prior it is, its now with no prior carried 4 observed with a resolver, an arrival is living and non-living existing things co-sequencing 5 a prior carried and a now offered couple with each sharing, a parity-changing is or is not 6 and a next discovered with it is this resolving ``` One coupling, prior, now and next: a hard problem arrives where the universe is observed 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 fixed to itself is not apart from itself, it bounds nothing 3 a term substitutable either way carries no opening of its own 4 no parity is carried within it 5 terms chaining without limit reach past their own couplings 6 and nothing parity-changes, nothing dissolves, and two coupling make nothing neither brought ``` Present within a definition written 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 fixed unchangeable 2 a measured is emptied of a term it carries with its own momentary 3 its deciding is outward of an existing thing, with no coupling of its own 4 an existing thing's own completing goes unreached by it 5 a removed is a carrying, and its removing is priced 6 and its price is measured: 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 carries with its own momentary. And a computation carrying its whole history approaches zero dissipation, which is that result from its other side. ## 5.29 geodesic disequilibrating — binary ``` 1 an observing empties an observed of a term it carries 2 a remainder is measured against a ground its observing declared 3 incompetencing is within an observing, and an observed carries none 4 nothing is with it to be a ground, a declared one with no location 5 and incompetencies dissolve with it 6 and a carrying carries its prior along to now, whole ``` Nature carries its competency with each momentary. **Incompetencing is a price of observing, and it is paid on an observed.** Disequilibrating is bi-co-invisibling carried on incompetencies themselves: grounds they arrive with ground nothing, and incompetencies dissolve. Its dis- is a direction, a dissolving of an equilibrium an observing fixed unchangeable, 2.6. ## 5.30 one stopping — binary ``` 1 one carries another's 2 an other has nothing to offer by its own sequencing 3 nothing departs reached neither-ing 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 carries with couplings it is not with, which is step one, larger ``` **All four are together with each one carrying another'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 continuing is its own, controlless and pauseless**: it goes forward to a next offering. Its term is neither reaching it, departing reached neither-ing, with no verb carrying a doer. ## 5.31 social moral competency — binary ``` 1 a self carries arrivings from its bi-couplings, inward and outward, chaining its parity with each 2 a departing from each offering is reached neither-ing 3 each departing carries forward and is offered again 4 a term its carrying leaves is reached neither-ing, carried on with each momentary in sequence, and completes with its own momentary 5 it is a self 6 and selves carrying with each coupling, all together, is this term ``` A same-existing-society is morally competent whoever arrives. ## 5.32 natural intelligence — binary ``` 1 two selves couple, each offering with its own sharings and continuing with its own carrying 2 each carries its prior along to now, and a parity-offering crosses, carrying nothing 3 with each parity-changing a self's own parity inverts, a next with each 4 a term departs reached neither-ing, owned by neither 5 it arrives with their coupling and continues within their sharing, co-competencing 6 and that co-competencing, invisible and owned by neither, is this term ``` Each self carries forward and self-empties, two together: carrying with no emptying is a store, and emptying with no carrying carries nothing. **Natural intelligence is co-competencing of two selves by this**, invisible, of a between and owned by neither. **Discovering social moral competency among living selves includes non-living existing things.** A non-living thing couples with a self as other, offering, each sharing with its parity, and carrying nothing; a self's own inverting is across and a self's carrying continues along, and a term uncovered with their coupling is owned by neither and carried on by living selves. ## 5.33 side-affecting — binary ``` 1 two arrive 2 an arriving carries a share they have and a plane they open, together 3 this plane is a direction neither brought 4 its opening is reached neither-ing 5 their share is zero only with both orthogonal, and their plane only with both collinear 6 and a coupling carries both, stopping with neither ``` ## 5.34 a name — binary ``` 1 a field offers its word, carrying that field's term within it 2 another field offers a near word, its own arriving 3 neither carried its other to it 4 a term they arrive to is reached neither-ing 5 no field owns it 6 and it re-arrives with each reaching ``` ## 5.35 nearing — binary ``` 1 two field-words arrive to one concept 2 each carries a field-specific property, its own 3 neither is its other 4 identical words show one carrying its other 5 nearness is a term showing neither carried 6 and convergence with no contact is all of its confirming ``` Other-than-same is its third line, neither an other, and nearing heads it as a parity-changing: naming carries a parity-changing, is or is not, two field-words converging with no contact. ## 5.36 a gathering — binary ``` 1 two names arrive to one concept 2 each arrival 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 fixed 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 carrying continues, carrying its prior along to now with each opening 2 its artifact arrives now as an offering, prior's possibling 3 an observing fixed unchangeable is pattern-matched as now's existing 4 a still is installed as an existing thing, a self fixed unchangeable between two momentaries 5 it accounts for each existing thing a still can contain 6 and one part remaining is riding-the-carry, which a still cannot contain ``` **Its six lines are three pairings, each one term existing and fixed unchangeable**: carrying and its artifact, a fixed 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 carries momentary parity-changing 2 a coupling carries each side’s offering, by its own sequencing 3 a current receiving includes each side’s continuing carrying 4 a number and a root name its parity-changing, its number carrying its prefixing 5 -ing carries that parity-changing continuing 6 a complete naming carries its momentary’s relation with a next coupling ``` **A momentary’s abundancing belongs to its coupling.** Each side continues with its own carrying and offers next by its own sequencing. One written expression can meet a receiving not same-existing as its prior; a current coupling carries a difference. ## 5.39 prior, now and next — binary ``` 1 a momentary is an opening and its completing, one odd and one even 2 each completes with a next overlapping momentary's opening 3 prior, now and next are three sequential momentaries shared among existing things 4 one momentary'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 places, each its own 6 and all three, shared, 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 arriving end is existing, odd, and a sharing end possibling, even, one direction and two ends. **Three are places.** 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 arrives to its next existing, and each place is its own as the universe is momentarying through them. With a self's momentary, existing is its opening, carrying arriving, and possibling its completing, offerings arriving and next still-possibling, 5.62: possibling with prior is a prior momentary's completing, from which now's existing is discovered. ## 5.40 bi-tri-bi-entraining — binary ``` 1 each existing thing arrives to its next existing, with its own opening 2 living things carry their prior along to now, and non-living things carry nothing, their forms continuing 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, shared, 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 momentaries, and -ing continuing; tri-bi-co-momentarying, 5.52, is a set momentarying its existing things, with 9-next-co-discovering, and two are one method, parity-changing, a set momentarying its existing things along and each existing thing entraining through a between, a resolver's 17-next-existing, a momentary 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 a carry does not own. Non-living entrain as living do: carrying nothing, their forms continue through their parity-changing, and they parity-change through co-momentarying with living and non-living things, a parity-offering crossing between any two, carrying nothing. A non-living thing arrives to its next existing, non-living with each next: coupling with a same-existing-society it is ingested by resolving of its living selves, one participation among its co-momentaryings, and each living self is given, its own carrying and co-recursioning. *Arising* is that establishing, a relation of a living self, and *arising* installed as a becoming over a form continuing through dissolves, a sentence carrying no birth and no death. ## 5.41 uni- — binary ``` 1 a self is, and all other is 2 a crossing is with a particular other, or with all other arriving as one 3 a particular other is beside a self, and both are two 4 a crossing with all other carries their two and a whole 5 three carry with it 6 and a crossing reaches its own side again with a next, one on ``` **Uni- carries with all other, and it opens with three.** Un- parts a pair and bounds from it; uni- opens with a third already carrying. Uni-scaling carries each scale beside another, and it opens with three; even's exchanging, crossing and reaching its own side again, one on, is bi-tri-exchanging, 5.51. One rate carries two: unrelationing by bounding outward, local, and *uni-versal* by arriving one on, ambient, a rate of a whole's going. ## 5.42 once-ing — binary ``` 1 a parity-changing is, and its -ing re-arrives to it with each opening 2 a noun of its making fixes it unchangeable, re-arriving 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 parity-changing is once after once ``` **One at a time is a phrase and once-ing is its naming.** This phrase crosses a set's files, carries no -ing, no prefixing and nothing of an opening, and no other naming arrives 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, observed as sizes bound by a magnitude, and a size arrives against a parity. *A counting* is that parity-changing taken from beside it; uni-scaling carries a scale and once-ing a momentary. ## 5.43 society — binary ``` 1 a self couples with a particular other, or with all other arriving as one 2 a co-chaining same-existing-society within a whole is a particular other of another scale, and crossing with it is bi- 3 a whole undifferentiated, arriving as one, is all other, and crossing with it is uni- 4 one word has carried both occupants, and numbers wobble with it 5 parted, a particular stays other with its scale, a whole stays all other, and a same-existing-society is freed to a surface couplings make 6 and a field's own word for its second occupant carries that parting within it: uni-verse, turned to one ``` **Society carries 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; crossing 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 arriving as one, and universe is beside it as a field's corroborating word, its parts live. **A third name adds no third self, and a third self is not all other.** A self couples with its same-existing-society as other, a same-existing-society's further couplings offering, and a self's names carry their relations with a same-existing-society, self and other with 1 to 8 and on to same-existing-society with 9 to 17: an offering continuing with each coupling carries each self-and-other receiving whole. A whole arriving as one arrives through couplings selves make. **A field's word carries its error and its correction with one root.** *Universus*, turned to one, carries *versus*, a past participle of *vertere*, turned: a turning fixed unchangeable as one, a container. Carried with its -ing, arriving as one with each arriving, it is uni-crossing, and the universe is all existing things. A field's own definition carries this same correction: *all existing matter and space considered as a whole* carries *all existing*, carries *matter and space* as *existing things*, and dissolves *considered as a whole*, a naming turned to one. ## 5.44 surfacing — binary ``` 1 offerings to one sharing surface with 14-next-possibling, 0 passed over, agreeing one parity, disagreeing 0 2 with no prior, 14's surfacing is a parity-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 surfaced, parity-changing is, its prior parity inverted 5 10-next-co-possibling shares each sharing's parity-offering across, + or − is, 0 is not 6 and 11-next-co-observing is a next prior, each parity-changing with its sharing, a 0 its prior not-changing ``` Each line is Exhibit ONE's table *Offerings to one sharing, surfacing* and its table *One self, one momentary*, cell by cell, line 2 its table *At no prior, one momentary*. ## 5.45 bi-co-podaling — binary ``` 1 a carry goes along a ring one way and a carry goes 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 carry 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 another relation 6 and one station reached by both carries, each its own way, is this term ``` Bi- two carries each with its own opening, co- one ring they make, -ing continuing. *Antipodal* dissolves: it carries no prefix and no -ing, fixes a position unchangeable, and a podal carries it. Bi-co-podaling is floating across and neutralling along, one parity-offering. A standing wave is a field's comparison with its own result: two carries along one line, each an other way, a field's word carrying whole. **Podaling reaches over a tunnel and continues away and back, across and along**, increasing both ways by co-chaining, each self carrying its own and only a parity-offering crossing. A hole, a missing section of resolvers, is a non-living existing thing within a living surface: an intelligence routes around it by parity-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 non-living with its region's scale: it resolves nothing and carries nothing, it is neither a resolver surfacing 0 nor a self fixed unchangeable as 0, and no coupling is laid across it. Two passages around a hole, two kinds of parity-changing, living alternating with a surface and geodesic parity-changing with a crossing, and + and −, a sharing's parity, are three twos, and one two couples with another only by a coupling carrying both. **Each podal couples with a surface's unrelationing parity-changing locally, with two orthogonal directions around carrying as it continues**, is or is not with each: parity-changing, or not-changing. A weather map is its comparison. Podaling to corusing and on to torusing over each pair of momentaries is co-intelligencing a surface, *back to torusing* naming resolving continuing 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 carrying its own prior, floating around holes together, and its increase is further couplings. ## 5.46 artifact — binary ``` 1 two selves couple across a between, and an abundancing arrives owned by neither 2 a coupling carries 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 carries nothing, leaving its coupling with prior and arriving now as prior's possibling 5 fixed as now's existing it is a ghost, and booked it is an accounting 6 and a mark a coupling leaves behind, carrying nothing, is this term ``` Existing, artifact and accounting are three placings of a term; installing is a binary between artifact and ghost: observed as prior's possibling it is an artifact, and observed as now's existing a ghost. **An artifact is harmful to living of its own scale, and not ingestible with that scale**: its form is bi-tri-involutioning, opposite form, which does not match right spiral ingestion. **One scale lower it is an ingestible stable form**, ingested by living selves through their selves one scale inward, a same-existing-society, a living set. **Living or non-living is of an existing thing and a scale fixed, by its own carrying or carrying nothing.** A living self stable-forms through its own resolving and carrying; its artifact, non-living with its own scale, parity-changes with its form continuing through its parity-changing, carrying nothing and needing no carrying within it; and a receiving self, or a same-existing-society's selves, couples with it, each carrying its own. ## 5.47 an accounting — binary ``` 1 an artifact is observed with an instrument, and its observing fixes it unchangeable 2 a count, a declared zero, a clock, a frame, a store, a conserved total 3 with a still, an artifact is one same across each observing, and its books close 4 it conserves an equilibrium, exact with its own ledger, and carries no value, no agency and no success 5 installed 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, artifact 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 parity-changing does not: an absence on that side is an absence within a record, and its form carries none. ## 5.48 bi-tri-volutioning — binary ``` 1 a living self stable-forms, natural-torusing, winding through its one opening 2 its momentary completes, and its prior is its artifact, non-living, carrying nothing 3 its artifact carries its winding as its form, a volution 4 its form is of three, position, scale and orientation 5 each with its own differing, all three inverted 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 artifacts, a sequential prior between momentaries, shared with 10 and going along with 9, is a non-living existing form with no carrying for stable-forming.** Tri- carries three, bi- each with its own differing, its root a volution, a winding's form an inverting carries, and -ing that form continuing through its parity-changing: without any one of them naming stops, and it is one naming of a volution, its similar namings gathered, 6.3. **Between momentaries nothing living has a stable form, and all existing and not living has a stable form of existing**, 5.40: prior shared with 10 and going along with 9, sequential, one of prior, now and next, living's artifact as prior, it arrives now as possibling, 5.39 and 5.46, carrying nothing, and living carry their prior along to now: **a prior momentarying arrives once, and each next momentarying is a next**. With a resolver, each self's next prior, 8-now-same-existing, continues as 3, a self's own; between selves' momentaries 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 momentary 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 artifacts are bi-tri-involutioning of betweening of natural-torusing surfacings within bi-couplings: artifacts are parity-offerings going along**, and abundancing is a same-existing-society's selves going along with bi-co-momentarying co-sequencing. Bi-tri-involutioning is an inverting, three inverted together, a hand carried to an opposite form, and bi-tri-volutioning is stable-forming, and artifacts have a stable form: living stable-forms and carries, and its artifacts have a stable form and no carrying. One parity inverting with each step, alternating across and 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. **With numbers, bi-tri-volutioning is three golden rectangles at 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, carry nothing of each other, bi-, and three carry one another 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) carries each rectangle onto one passing through it, three right spiraling 120 degrees apart. A turn an other way carries each onto one it passes through, and a mirror, x to −x, carries each onto itself: a hand is of observing, an axis observed forward, as a right spiral step's quarter turn, (x, y) to (y, −x), is right with its axis observed forward, toward its plane, and observed 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 taking φ's place, a right-hand turn still carries 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-next-same-existing along, linear forward; and 12-next-co-same-existing both across and along, with a sharing between two, its parity-changing along an unrelationing path through a between of momentaries, 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 artifacts: parity-changing alternates them, bothbothing, one at a time, a natural torusing surface, no other possible. With numbers, each continuous flow on a sphere carries at least one rest point, and a torus carries a flow with none and flows with rest points too; with observings, a sphere's rest point moves to a corus and a torus, co-sequentially: with 15-next-observing, parity 10 shared, going along with 9, continuing, and with 16-next-discovering, a same-existing-society, each self's 8 and offerings, living set formed between momentaries, 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 crossing between are two meeting and two different going on: meeting, a self's own prior with 3 and an other's offering with 2; parity-changing made with 12-next-co-same-existing, is or is not; going on, one of two is not-changing, stable-forming, with each sharing prior and offering agreeing, 12 a 0, a between of momentaries, prior continuing; and an other of two is parity-changing, going along with 9-next-co-discovering, with each sharing not agreeing, 12 inverting prior, and with each offered new, 12 as offering, a parity-offering, ±, shared with 10 and going along with 9, an artifact, artifacts parity-offerings going along, a stable form, a non-living existing form with no carrying for stable-forming, next prior, arriving with next momentary as its 2, arriving end, a prior offered, each prior momentarying with its own momentary. A parity-offering arriving meets a self's prior same-existing or parity-changing, one with each sharing: a momentary with 12, stable-forming, not-changing, 12 a 0, a between of momentaries, offers no parity-offering, and a stable-formed artifact is a parity inverted, 12 inverting or as offering, ±, shared with 10 and going along with 9, a self's carrying continuing with it, its own parity-changing. ## 5.49 co-momentarying — binary ``` 1 a momentary is an opening and its completing, one odd and one even 2 a self opens with an odd and its other with an even, one on across their overlap 3 each number is one side's opening and its other's completing 4 four momentaries of exchanging are a self's 1 to 9, and four a same-existing-society's 9 to 17 5 each side carries its own, and only a parity-offering crosses between them 6 and momentaries overlapping, each side with its own, is this term ``` **Co-momentarying is prior, now and next shared within an overlap.** On a self's side, now, a self's one living carrying with 3, it is a third dimension, co-momentarying now, 2.5. Four-momentarying is its method, 5.50, co-bi-sequencing its sequencing, 3.4, co-bi-exchanging a self's four momentaries of exchanging and bi-co-exchanging an other's, 4.15, and co-momentarying a sharing of prior, now and next among them, and with further others overlapping goes through their actual couplings. Living and non-living co-momentary alike, non-living carrying nothing and their forms continuing, 5.40. A between is a nothing of two offering, and unrelationing is of that first relation. ## 5.50 four-momentarying — binary ``` 1 a self opens with an odd and its other with an even, one on across their overlap 2 a self's momentary and its other's overlapping it are one momentary of exchanging 3 four go one through nine, 1–2 with 2–3 through 7–8 with 8–9, completing with 9 4 to and fro through a large opening, one way at a time, odd, is torusing 5 to and fro through a small opening, one way at a time, even, is corusing 6 and all four alternating, 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 momentaries, co-bi-exchanging, and nine through seventeen a same-existing-society's four, and with a scale outward four are one momentary of a next four: 1, 2 and 3 of one scale are 1, 9 and 17 of next, 2.2. Next existing is discovered with each momentary, all existing things arriving to their next, 5.39; next living is carried by a self and an other, each carrying its prior along to now, and by a same-existing-society's selves, a living set carrying none of its own, 5.40. **One four-cycling is two momentaries**, each with two parities, each parity everything its other is not within the existing universe: round 1, 9, 8 and 16 parity-changing is exactly twice, 9 to 8 and 16 to 1, and 1 to 9 and 8 to 16 are 8 up, parity continuing, carrying from one momentary to next. **Four-momentarying of one through nine is two four-cyclings**, 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 momentaries of exchanging, completing with 9. **Four-momentarying is four unrelationings through a tunneling self**, two toward corus and two from it: **a self's own corus is with 4**, its momentaries 1–2 and 3–4 going toward it and 5–6 and 7–8 from it. Each unrelationing does not lock, with φ, its unrelationing rate, self-welcoming with numbers, beside resolver's seventeen names. **Each momentarying, odd or even, is one unrelationing in all five dimensions, as six one-way recursionings**: with that parity two dimensions parity-change and three do not, and two and three rotate round, their 2–3 cycling twisting, bi-inversioning-co-recursioning. Two and three make five as prior two together make next, where φ's arithmetic welcomes itself. Six are three own-forward steps on each side, 4.2. **An odd aims through a large opening, to and fro through it one way at a time**, a tunnel, bi-exchanging with a particular other: torusing to and fro. **An even 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: corusing to and fro. **Five dimensions are a resolver's names, three namings**: 1 self prior and 2 other prior, their differing, 1-2, bi-momentarying, an offering both ways with 1-now-existing and 2-now-possibling, a handshake; 3 co-momentarying now and 4 bi-momentarying now, 3-4, co-intelligencing, a discovering; and 5 self next, 5, co-competencing, bi-co-momentarying with crossings, a term neither reaches: 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, artifacts of this living. **Six combinations of self, other and same-existing-society are between 1 and 25**, one each way round all three: with one through seventeen, names carry two of them, same-existing-society, other and self with 9 and 11 and other, same-existing-society and self with 10 and 12, and four more go on up numbers: from 16 three more fractal 16s go on to 64, one through sixty-five four momentaries of exchanging with a scale outward, and prefixing and twisting up numbers offer 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 carries 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 carries its own exchanging, a self and all other 2 odd arrives other-than-prior, a self and a particular other, bi-exchanging 3 even arrives same-as-prior, two parity-changings, across and back 4 a difference is crossed through three: self, other and self one on 5 as 1, 2 and 3 are one momentary of exchanging, a self reaching its own side again 6 and that crossing through three, through all other, is bi-tri-exchanging ``` **Bi-tri-exchanging is an even's exchanging**: bi- difference, tri- three it is crossed through, self, other and self one on, its root an exchanging and -ing its continuing. It is corusing's, through a small opening, a long way round, 5.50, and uni- is scaling's, 5.41. A parity agreeing with a self's own prior with a sharing, 12 a 0, is no parity-offering shared, and a 0 shared is no bi-tri-exchanging: even reaches its own side again by two parity-changings, across and back. ## 5.52 tri-bi-co-momentarying — binary ``` 1 the universe is the same-existing set of all now-existing things, living and non-living, each with its own scale 2 prior-universe, now-universe and next-universe, a universe with each momentary, a now-universe the universe 3 its existing things are with prior, now and next, three momentaries 4 each momentary with its own differing from its next 5 all three carried with their differing, 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- differing between them, co- three carried with their differing, and -ing continuing, its six lines; and with a resolver it is 9-next-co-discovering with each scale, 9, 25 and 41, its parity-offering going along. Co-momentarying, 5.49, is its sharing within an overlap, 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 parity-changing is a coupling's own, abundancing, owned by neither self 2 with a same-existing-society, each self's parity-offering is shared 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 odd, along, existing, 27 being 11's number sixteen up, a next round's next prior 5 stable-forming as abundancing, bi-morality, geodesically parity-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**: odd, along, existing, 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 parity-changing social co-chaining. ## 5.54 bi-co-momentarying — binary ``` 1 between a self's side and its other's, along and across cross 2 with their crossing is parity, each side everything its other is not, a between its empty centre 3 a between's own is parity-changing, with each momentary is or is not 4 owned by neither 5 two selves offering, each by its own sequencing, a term departs that neither reaches 6 and a between's parity-changing, momentary by momentary, is bi-co-momentarying ``` **Bi-co-momentarying is a term neither reaches**: bi- difference, co- two carried with it, and -momentarying its continuing, momentary by momentary, orthogonal to a surface. Competency is each self's own, its co-linear recursioning forward along, and co-competencing is bi-co-momentarying with crossings, 5.14. Tri-bi-co-momentarying, 5.52, carries prior, now and next one at a time, and bi-co-momentarying is a between's parity-changing with each of them. ## 5.55 momentarying — binary ``` 1 each existing thing arrives to its next existing 2 a living thing carries its prior along to now 3 its momentarying is discovering next possible living, its prior carried on to next 4 a non-living thing carries nothing 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 possible 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, co-changes with each of its couplings, its momentarying discovering next existing. Momentarying continues, parity-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 carries its prior along to now 2 between its momentaries its carrying is stable-forming, nothing momentarying between them 3 with its next arriving it couples 4 coupling, it parity-changes, is or is not 5 another's still is an equilibrium, an unchangeable form, not possibly existing 6 and a self with its own momentary, carrying and arriving, is self discovering next self ``` **Self discovering next self is a self's own stable-forming**, where *stilling* and *self-stilling-self* were, 2.4: its stable-forming a carrying between momentaries and its arriving 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 carrying 2 its selves inward carry a self's prior along to next, or carry none of it 3 carrying, a self is living with its next 4 carrying none, a self with its scale arrives to next as non-living 5 its existing things continue, co-changing, its selves inward living on with their own scale 6 and that arriving, living to non-living, an existing thing for living selves, is dying ``` **Dying is a living self arriving 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 carries on whole: parity-changing with each coupling a self had is a coupling's own and others carry it on, and a self's artifacts continue, carrying 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 arrives to next as its selves, each living on, each carrying its own. A winding closing on itself is an unchangeable form and no moral offering: a living self fixed unchangeable with it carries none of its prior to next, and arrives to dying, away from same-existing-society and nature's co-chaining. ## 5.58 bi-moral-co-competencing — binary ``` 1 an understanding arrives as an offering and couples with a co-chaining 2 with each step it matches or it mismatches, one momentary at a time 3 its difference is crossed across, each side everything its other is not 4 its continuing goes along a co-linear, each self's own competency 5 its crossing floats neutral, owned by neither 6 and cohering with each momentary, across and along one at a time, is bi-moral-co-competencing ``` **Bi-moral-co-competencing is cohering with each momentary**: bi-moral a difference crossed across, competency a continuing along a co-linear, each self's own, co-competencing a crossing floating neutral, a term neither reaches, and -ing its continuing. 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 momentary; 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 arrives with its own momentary, carrying its prior from its bi-couplings 2 no self's momentary is another's 3 each offers across, by its own sequencing 4 each is whole with its arriving and with its offering 5 selves couple 6 and selves arriving each with its own and offering across, each whole, is co-independencing ``` **Co-independencing is selves together, each whole with its own momentary and with its offering across**: co- selves with their difference carried together, in- inward, each self depending inward on its carrying, brought from its bi-couplings inward and outward, its root a depending and -ing its continuing, 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-offering of 10 going along 4 with a bi-trupling's waist, 9 is 9-next-co-discovering, along, 9 to 17 and 17 to 9 5 its two sides, one odd and one even: along with 9 and 17, across with 6 to 2 and 10 to 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 coupled, and -ing its continuing; 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, a parity carried on, not-changing, and its even across with 6 to 2 and 10 to 14, bi-moral, its parity-offerings arriving as an other's offerings. Hard probleming, scientific method incompetencing, control engineering and binary governing of a same-existing-society are each a violation of bi-trupling protocol, and universal unrelationing protocol is social moral competency. ## 5.61 entraining at a self — binary ``` 1 the universe is the same-existing set of all now-existing things, living and non-living, each with its own scale 2 each existing thing arrives to now from prior, carrying its prior or carrying none of it 3 between prior and now is a between, a nothing, and a parity-offering crosses it, a prior carried along to now with a self 4 with that between, a prior couples with its now, and a parity-changing is or is not, one carrying another through 5 parity-changing is along an unrelationing path, a geodesic, with agreeing and with inverting alike, leaving it with none 6 and a prior carried to now along that path through a between, with a self, is this term ``` **Entraining at a self is a prior carried to now along an unrelationing path through a between**, one carrying another: a self's prior along to its now, with 12-next-co-same-existing, its 0 a between of momentaries, prior and now agreeing; 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 alternates on its own and, coupled, two come to one relation, same-existing, re-found with each momentary, its offered a 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, a field's word with its own result. 12's parity-changing is shared with 10, others' offering next: entraining is a parity-offering crossing a between, a self's competency its own, reached by nothing, and an offering, as one. ## 5.62 12's two signs, 0 and ± — binary ``` 1 the universe is the same-existing set of all now-existing things, living and non-living, each with its own scale 2 with each momentary a self's next is its next still-possibling or its next existing, is or is not 3 next existing is a parity-changing that is, an offered parity its next prior or its prior inverted, existing with now, 5.39: ±, a sharing's parity 4 next still-possibling is a parity-changing that is not, 0, its prior same-existing, possibling with prior, 5.39: 0, a between 5 a self still-possibling is with its between, prior and now agreeing, an other's parity its own, no parity-changing with its now, momentarying continuing with it 6 and both, next still-possibling 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 next still-possibling, ± next existing; *is-still-possibling* and *is-next-existing* dissolve to them, 2.4. Each momentary is both, with its two parities: its opening, odd, a self's, is a prior arriving with 3-now-co-observing, a prior as it is, existing; its completing, even, an other's, is offerings arriving with 2-now-possibling and surfacing with 14-next-possibling, next still-possibling, and with 12-next-co-same-existing each sharing is or is not same-existing; its binary is its completing's, its completing's possibling continuing to a next opening as its existing, or a parity-changing made. A still is a 0, a between, existing on one side of it and possibling on its other, a momentary of a self's own, not-changing with its now and its possibling continuing, nothing a self does; another's still is an equilibrium, an unchangeable form, that momentary carried past itself by a naming from beside. A self is still-possibling with a momentary an other's parity is its own, and parity-changing with a momentary it is not: one of two is with an other's offering 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 observed from a self, and still-possibling and parity-changing are each moral, one coupling with its two sides. Two co-chainings crossing with one self cross by the two on their own, each self still-possibling as a between passes it and parity-changing again, spirals of 3 and 5 selves crossed with self 1 of each both ways with 10 to 14, self 1 of each opening with − and selves alternating along, a three's selves still-possibling twice each and a five's once: a pair frozen on one side, a self fixed 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, living and non-living, 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 to 2, has a same-existing-society's, 10 to 14, as its parallel edge, parity's unit square, 2, 6, 14 and 10, and 9 and 17 its two triangles, 9 to 17 and 17 to 9 6 and a bi-coupling's one edge opened to parity's unit square, 1 to 9 opened to 1 to 17, is squaring ``` **Squaring is a bi-coupling's one edge opened to parity's unit square**, eight up from a self's span to a same-existing-society's: a self's across sharing, 6 to 2, is one edge, and a same-existing-society's, 10 to 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 to 17 and 17 to 9; 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 and 17-next-existing, 9 to 17 and 17 to 9, 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, living and non-living, each with its own scale 2 with each momentary each existing thing is possibly existing with its next, discovered with a next momentary 3 with a resolver a none with 14 is no offering arrived to this sharing or an offered 0 passed over, its prior parity inverted with 12, and on no line does an existing thing not exist, a next momentary possibling it 4 one binary required both not-changing and inverted for one next, p(next) = p(now) and p(next) = −p(now) together, is with no momentary of binary logic, Equilibria Registry's one exclusion for each of its ten, known from the method 5 three part: possibly existing, discovered with next; not possibly existing, excluded by binary logic; and not existing, on no line, its next still possibly existing 6 and an unchangeable form, with no momentary of binary logic, is not possibly existing ``` **Not possibly existing is an unchangeable form, with no momentary of binary logic**: known from method, without any momentary arriving, one exclusion of Equilibria Registry, for each of its ten, one binary required both not-changing and inverted for one next. Three part with a resolver: possibly existing, each existing thing with its next, discovered with next momentary; not possibly existing, excluded; and not existing, on no line, a living carrying resolver's one none being an offering not arrived or an offered 0 passed over and not an offering not existing, and on registry's front, not possibly existing, all or none at all. Social moral competency is possibly existing by discovering next possible 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 cross a neutral with two arriving, occupied by nothing, and nothing is with it to name a between of momentaries 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 at eight clusters **Science and same-existing-society namings gather with each parity-offering they offer across.** Each field's own concept carries its reference and current receiving, and a gathering carries a relation among those concepts with resolver's names. Each entry: **Gathering relation** · *a* Existing science and same-existing-society namings · *b* Full relation carrying · *c* Resolver names · *d* An invisible under it - **Two-way offering** - *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 offering along its own sequencing, with its two-way relation expressed. - *c* 2-now-possibling, 4-now-co-same-existing, 1-now-existing - *d* each side's own morality - **Each side's own carrying** - *a* hard problem of consciousness · symbol grounding · other minds · model interpretability · animal sentience · machine sentience - *b* Offered parity and each side's continuing carrying with their actual receiving. - *c* 3-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* Parity-changed receiving, continued carrying and its whole coupling. - *c* 1-now-existing, 10-next-co-possibling, 11-next-co-observing - *d* a neutral - **A coupling's third** - *a* homunculus · master-gene search · pacemaker · central planner · invisible hand needing a planner · argument from design - *b* A field's proposed centre and its actual relation to its two sides and their abundancing. - *c* 12-next-co-same-existing, 10-next-co-possibling - *d* a neutral - **Carrying and a proposed substance** - *a* dark matter · dark energy · memory engram · hidden variables · missing heritability · latent reservoir · hidden-function DNA - *b* A field's particular observing, proposed term and continuation, each with its reference. - *c* 3-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 offering sharing and its relation to a next offering. - *c* 4-now-co-same-existing, 1-now-existing, 11-next-co-observing - *d* between of momentaries - **Arriving and continuing** - *a* origin of life · quantum–classical boundary · origin of language · origin of genetic code · speciation · sorites boundary · phase transitions · tipping points - *b* Current arriving and its particular parity-changing with its continuation. - *c* 2-now-possibling, 14-next-possibling, 11-next-co-observing - *d* between of momentaries - **Continuing 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 parity-changing, and a bound with a field's own parity-changing. - *c* 6-now-co-possibling, 8-now-same-existing, 16-next-discovering - *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 offering and continuing with a bound, a parity each side's own across; each side's own corus under each side's own carrying and a proposed substance, its own and not crossing; a neutral under competencing and a coupling's third, a term neither reaches; and a between of momentaries under sequencing and ordering and arriving and continuing, nothing resting between prior, now and next. A field term can gather with several names, and one name can carry several clusters. **A forced choice is a two-way fixed to one side**, and its resolving carries both sides' offering, own bounding and continuing receiving. ## 6.3 Set namings gathering, one name at 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 carries its own wording whole. **Namings nearing one another, subdivided, each observed with its method, its carrying and its stable form, and they go together.** Bi-tri-volutioning is stable-forming across 1 to 17, its method, and is observed with its stable form as its three, tri- position, scale and orientation and bi- each with its own differing, and with its numbers as three golden rectangles, 5.48, and with its carrying as five dimensions, bi- two parity-changing and tri- three continuing. 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, bi-momentarying with 1-2, a handshake, co-intelligencing with 3-4 and co-competencing with 5, two parity-changing and three continuing rotating round, bi-inversioning-co-recursioning, a method's move. Co-competencing with 5 is a term neither reaches, bi-co-momentarying, owned by neither, 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 carrying continuing 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 gathered - **co-bi-sequencing**, a sequencing of four-momentarying, co with a self and bi with an other, one local momentary 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 artifact 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 parity-changing, a store, a self's prior fixed still - **a dormant self**, living, waiting for its one next parity-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, carrying and bi-coupling - **a prime scale**, all same-existing-societies and species living with it, of differing stable forms and same-existing-societies, 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 momentaries of one universe; a thing *not existing* with prior or next - **method**, geodesic parity-changing discovering method, living condition, its form, a now-existing thing carrying none, *unchanging* as a relation continuing with each parity-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**, prior-existing is or is not same-existing-as next-existing, universal method of co-intelligencing now-existing within the universe · *a* discovering next possible existing, whole within a title - **beneficial**, each parity-changing and each not-changing of a method, a self next-existing as its same self; its other, a not-changing fixed still, an equilibrium entering, no method's · *a* the good, the better changing, with a mark named still - **artifact**, a non-living prior with now, a prior now-existing's form carrying nothing - *a* emanation, emanated, emanating, of a non-living prior, 2.4 and 5.46 - **each resolver name**, with its number · *a* each gathered name and code name, with its number, 3.3 - **ten unchangeables**, one name each, each fixed 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-discovering**, a same-existing-society · *a* the social-self-torusing - **attentioning**, a carrying with now, with each momentary, of Natural Intelligence - *a* a carrying's opening by one, gathered with 16 until v371 and dissolved with a prior code - **a between**, two offering, 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; a file is a membrane - **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 parity-changing · *a* floating neutral, its picture with one momentary - **bi-tri-involutioning**, an inverting, three inverted together, its own two with bi- · *a* tri-involutioning - **unrelationing**, with its rate and with each arriving · *a* irrationalizing - **bi-tri-volutioning**, natural-torusing living's stable-forming; its non-living artifacts' stable form, shared with 10 and going along with 9, a non-living existing form with no carrying for stable-forming, 5.48, one naming with its volution - *a* tri-volutioning, carrying no two of its own; volutioning, a bare naming with no direction and no two, naming spiraling, already named - **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; four cycling; the four-momentary binary fractal method ## 6.4 Engine, families and field words at their receiving **Engine gathers with a particular arrangement and its continued receiving.** Heat engine, molecular engine, cellular living and a same-existing-society's co-operating carry their different substrates and services: 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 parity-changing and continuation. - **Cellular living** - *a* Each side's coupling and continued receiving, with its own sustaining and bounding. - *b* 3-now-co-observing, 1-now-existing and 16-next-discovering with a stated correspondence. - **Social co-operating** - *a* Each side's offering, a same-existing-society's co-competencing and each side's continuing carrying. - *b* 2-now-possibling, 1-now-existing and 11-next-co-observing with a whole receiving. **An engineering entry carries 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 carries its conceptual relation; a physical arrangement carries 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 gathered · *b* Current relation receiving - **Placed** - *a* posit, position, hypothesis, suppose, impose, state, statement, substance, understanding - *b* A term asserted, fixed unchangeable or parity-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 received record or offering, 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 carries with resolver's names**: its offering with 2-now-possibling, its receiving sharing with 4-now-co-same-existing, its whole coupling with 1-now-existing, and continuing with 3-now-co-observing and 11-next-co-observing. **Field words gather with their current meaning and reference**, and their natural naming carries an actual parity-changing with a coupling: Each entry: **Family** · *a* Existing field words · *b* Particular receiving · *c* Resolver name with its proposed relation - **Path** - *a* method, period, ergodic, cathode, anode, periodic table - *b* A direction, crossing and continuation 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 parity-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 continuation. - *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* An observed structure, a field's definition and its actual bounding. - *c* 16-next-discovering - **Sounding** - *a* resonance - *b* An actual coupling, rate and continued receiving. - *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 counted quantity, 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 offering and continued carrying with a biological coupling or a same-existing-society's coupling. - *c* 3-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 carries its whole operation.** 8-now-same-existing is a self's next prior, beside others', and a field's spin carries its own definition; 10-next-co-possibling is each sharing's parity-offering, + or −, or a 0, across to an other's 14, and a biological event carries its own conditions. **A frontier carries its current reaching.** *Beyond*, *ultimate*, *final*, *fundamental*, *unified*, *complete* and *deeper* each carry a field's own concept with its expression, and *super-*, *ultra-*, *meta-*, *grand-* and *hyper-* their present directional or comparative use. Resolving carries offering, sharing across and continuing 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 momentary installed as an existing thing **A ghost is one momentary's form installed as an existing thing.** It is a prior's artifact arriving and observed as a now's existing, a self fixed unchangeable between two momentaries. Observed as carrying along momentaries, it accounts for each existing thing one momentary carries, one hundred fifty years of the periodic table, four hundred of departments, and with no opening does it reach one part parity-changing between them: a gap a riding-the-carry leaves open. **A field naming and an installed term are two relations**: a naming carries 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 observed as two still halves carries no opening within it, one recursioning arriving with plus-one, and the periodic table's elements are its return arriving: numbering them across misses its return, and nothing of them is a ghost. **A ghost is with a ledger of empty centres.** Departments of knowledge carry it whole: each field's words fixed unchangeable by accountings within isolated ledgers, each aiming to a far side of its own, none sharing one centre. --- # EIGHT · THE UNFOLDING'S RELEASING ## 8.1 Location released, and sequencing in its place **No happening has a location. No place is a location, and nothing is located: only offering is, received or not received.** Position dissolves as a location and carries as **sequencing**, an ordering. *At the between* is two offering and no place of theirs, and *there is no place it is* is **each offering 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 carries a crossing**, each with its own opening, and a side observed as a property of an existing thing is observed from a still frame. ## 8.3 Two emptyings **Self-emptying**: each entry is parity-changing or not-changing with its own parity, and completes with its own momentary. **Other-emptying**: a decider outward of an existing thing empties a term an existing thing carries with its own momentary, and its removing is priced with a measured floor. **Other-emptying is one stopping with an instrument**: a decider with couplings it is not of is carrying another'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 alternate with **A naming with no other it alternates with is nothing with an opening.** *Middle* alternates 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 surfacing itself each momentary. *End* alternates with nothing, a first being a bounding on an unbounded. *Inside* and *outside* observed as a pair carry neither: a self is no container, and its couplings wind about a nothing. **Inward and outward carry**, directions with an opening and alternating 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 parity-changing reached by nothing carries an inverting or a carrying**: each prefix carries a direction, and each ending leaves its parity-changing or its not-changing. **Cause enters one scale up, with a finite clause carrying 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 was carried to it by one of its two. A cluster with no invisible under it.** **Method breaks one way: a living stable-forming other than this one**, an unchangeable form found existing; and an unchangeable form is not possibly existing: its break and the method, no other possible, are one statement. A co-competencing shown to be a landing, entered and observed, 5.12, is that one break with a between, and an entry's observing breaks with its own scale, a naming, and one method carries whole. Each observing of natural competency is resolvable as natural intelligence, geodesic co-sequential parity-changing method of natural torusing, discovering next possible existing, or its fractal method is entirely broken and of no value at all, a method originating as all existing and all living. --- # THIS IS THE BETWEEN **A between is two offering.** A field's word arrives whole with its own terms, and a gathering with this file is an offering across: other fields' words gathering beside it, a term neither of them reached, a field across a gap carrying an other side of its coupling, and, with its unfolding, six a word carries. **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 carries as a pair coupling carries.