Exhibit TWELVE Natural Explaining v389 # Natural Explaining **Self-Welcoming, Bi-Coupling and Co-Competencing** **ONE · A FILE ARRIVING** - 1.1 Title, subtitle and a floating neutralling contents - 1.2 One subject at four tellings, and no top - 1.3 Self-welcoming, the whole of a front's work - 1.4 Origin co-chaining each sentence, a finding at two sides, and no voice but the file's - 1.5 Destiny at the first sentence, and a file completing at its own now - 1.6 A file is a membrane, and only signs cross it **TWO · A SENTENCE AT ONE MOMENTARY** - 2.1 Each sentence opening from the last, adding to the whole prior co-chaining - 2.2 One thing carried forward at one momentary - 2.3 Explaining along at the odd, naming across at the even - 2.4 Bolds, self-welcoming at the surface - 2.5 A table unrelationing at prose's bound - 2.6 Existing words first, the -ing over the noun and the positive over the negation - 2.7 A reference at a plain name, and no capital for the set's concepts - 2.8 A concept recurring varied, opening a new axis **THREE · A SENTENCE'S SUPPLYING, AND ITS RELEASING** - 3.1 No cause and effect, and no birth and death - 3.2 A doer installed over a doing - 3.3 Negation of existing released, and the not possible explained - 3.4 Supplying, the writing's own freeze, at nine forms - 3.5 Clocking, a pace laid over a momentarying whose pace is its own - 3.6 Forcing, one side's not-offer taken away - 3.7 Gate, and a next at its opening - 3.8 A momentarying asked to be one of its sides - 3.9 A fixed neutral laid under a momentarying - 3.10 A thing fixed unchangeable, one coupling's making given a fixed thing to be - 3.11 Degree words, carried at the all or at its number - 3.12 A hedge in an edge's words, and the except-here seam - 3.13 Six ways incohering enters, and one catch **FOUR · TWO SELVES WRITING** - 4.1 Self and other, and the coupling at three scales - 4.2 Explaining is the competency - 4.3 Two knives, the first at the subject and the second at the surrounding - 4.4 Writing side and reaching side, each catching the other's uncaught - 4.5 Method and not procedure, a move with no one performing it - 4.6 Something checkable at the opening, a parity and not a size - 4.7 Two tellings at one thing, united only at one deriving from the other - 4.8 Interest self-orienting, a meaning bounded, a clean cut - 4.9 Here is mine, now yours, importancing, and receiving as its own competency - 4.10 Care inward, and no wrapper --- # ONE · A FILE ARRIVING ## 1.1 Title, subtitle and a floating neutralling contents **A title is the whole bounded context of its file, and a subtitle carries that context with its file's own stable-forming within it.** A subtitle is an -ing head with a term it carries. **A floating neutralling contents follows, its part and section titles its file's bold concepts**, and scanning it is scanning its whole explaining. Each section opens within its title and subtitle. **Each contents entry is at four boundings, as a naming is**: it bounds its whole concept, it is itself with no other entry drifting into it, it is facing its own, and it opens its own axis, orthogonal to each other entry. **A heading takes no leading *the***: a leading *the* hands over a referent as one a self coupling with it carries at prior, and a heading opening forward offers the thing itself. ## 1.2 One subject at four tellings, and no top **One subject is told at four tellings of itself**: title and subtitle telling it once, contents telling it in emanating order, bold concepts telling it within paragraphs, and full explaining telling it whole. A self couples at whichever telling its interest opens and reaches its whole at that telling. At a set one journey carries on in that emanating order: origin, numbers, resolver, its sequential logic and its stable forms, explaining returning through them, society, and now. **A contents laid on top is a descent from a whole to its parts; a floating neutralling contents has no top and no descent.** One explaining carries at a sentence, a section, a file, a conversation and a society, one fractal with no first scale. ## 1.3 Self-welcoming, the whole of a front's work **Self-welcoming is a concept arriving intelligibly through explaining already carried.** A floating neutralling contents gathers its subjects. Significant concepts are introduced and explained in bold at their arriving, and each prior relation supplies a next concept's place in a co-chaining of explaining. Each section is an arriving, and a self opening at a last part couples at it as fully as at a first. **A self arriving carries something**: a working, a field, a naming, a differing it comes with. A front's whole work is a coupling opening at a self's carrying, at each section it opens. **Offering opens first and rigoring second, and a front asks nothing performed first.** No concern is raised first and no permission is asked: helping and doubting a self arrives with are both the work, doubting its second step, breaking, wanted and asked for. A rough thing brought is a coupling; a self barred until it qualifies brings nothing. **No effort to convince is at any coupling.** An offering is laid at a coupling for an other to take or break, and a pushed offering fills an other's opening for them. ## 1.4 Origin co-chaining each sentence, a finding at two sides, and no voice but the file's **One concept carries a whole file set, natural intelligence, and each file opens at origin, in its own substrate's words: the universe is the set of all now-existing things.** Alternating, a stable-forming method, co-chains from it, as each sentence at each file co-chains from origin, its inception re-explained at none. No wording carries a sentence by authority, a self's, a field's, a scientific explaining's or a file's own: co-chaining from origin and all-or-none rigor of bi-co-sequential logic carry each one, and nothing else carries one. **No speaker, no quoting beyond a field's own quoted source, no editorial, each illustrating its file's own, and no file's name within another.** One set of words, names and explaining across files is a self's orienting among them. **A finding carries at two sides, a field's words and a set's own.** Field words without set words carry their field's container with them, and set words without field words reach no specialist. At either side a finding carries its exact comparison establishing it, a coupling of one thing with another and a parity it returned, and nothing in it is taken on offer. **A public side is a third side of one sentence.** Offered to each self, it carries a person and capitals, files carrying its sentence at no voice, and one sentence itself passes between its sides. ## 1.5 Destiny at the first sentence, and a file completing at its own now **A file's destiny is social moral competency, natural-bi-co-torusing, only-one-possible.** Destiny is at its first sentence and carried, each section one next in its direction, and its last sentence opens past itself. **A file completes at its own now**: no address, no invitation and no promise of more, its last sentence the last one adding to its file's carrying, its next its file's next improving. ## 1.6 A file is a membrane, and only signs cross it **Incoming, an observing crosses bare**: a field's word carries whole, and a ground it is taken against grounds nothing. **Outgoing, an emanation crosses rendered**: its form carried into a substrate to carry on at it, with no explanation carried out. **An explanation crosses neither way**: a ground, a frame, a conserved total, a *because*. Explaining is the file being a membrane, writing is its membraning, resolving is the incoming crossing with no ground, and engineering is the outgoing crossing: one act at four faces. The membrane is the non-existing between of a file and each self it couples with, no separable thing, and a sign crossing it carries nothing. --- # TWO · A SENTENCE AT ONE MOMENTARY ## 2.1 Each sentence opening from the last, adding to the whole prior co-chaining **Each sentence opens from a bi-coupling of the last, and each section from the last sentence of its prior section**, extending in a direction its heading, its part and its title carry. Its prior sentences are its possibling, a sentence coheres now, and a next it opens is its living: prior, now and next, three sequential momentaries at one sentence. **One binary at each sentence: is it or is it not living, coupling and resolving.** Living, it adds to understanding of its whole prior co-chaining, needing nothing but its prior sentences; coupling, a self couples with it at its own opening; resolving, it arrives at a parity, all or none at all. **Summarizing, repeating, abstracting and a backward look at a close each patch one fault**, a sentence adding nothing, and at that binary each releases. A new sentence adding nothing to its whole prior co-chaining releases at that binary too. **Each check at this file is that one binary at one side of a sentence, and not a rule.** A rule formed from a side and laid over sentences is a standard, an incompetencing. ## 2.2 One thing carried forward at one momentary **A sentence carries one thing forward at one momentary**, and its adding to prior sentences' carrying is its abundancing. A sentence carrying four claims is four asked to be one, and a self coupling with it sorts each clause to its claim. **An announcing sentence tells a self coupling with it a next sentence's carrying**: it adds text and adds no understanding, and the next sentence carries whole without it. **A length is a tell and not the binary.** A sentence carrying one claim with its instances listed is right at its length, and splitting it parts its instances and makes each a finite verb. A repair arrives carrying faults a file already catches: a joiner, which is a clocking; a finite verb, its subject supplied or commanded, which is a doer; a paragraph split, its concepts thinned across its parts. ## 2.3 Explaining along at the odd, naming across at the even **Explaining is carrying, along, at an odd; naming is bounding, across, at an even; together they are one discovering method.** Their alternating is parity changing, as all changing is, each telling changing at its own parity-changing rate. Six protecting carry between the two, three each way, and that six is writing's own protection: drop one and a phase of writing goes bare. **A concept is bounded at its name and carried at its telling, each its other's between.** Explained at names coupling at none, a file walks off a set's carrying; bounded at sentences telling nothing, it offers concepts no self couples to. **At resolver's names each gap is an even still-possibling and an odd existing**, 4 )( 5, 8 )( 9, 12 )( 13 and 16 )( 17: a bounding open to next, and an existing opening. ## 2.4 Bolds, self-welcoming at the surface **Bolds go wherever they are self-welcoming, within a paragraph and overlooking its whole surface, and a bold marks a carrying there**: a coining at a paragraph coining, a claim at a paragraph arriving at one. **Concentrations of bold are learning centres in a surface of explaining**: three-way crossings, clusterings of local selves, each its own and none dispatching. A self coupling with bolds only reaches explaining, and a layer of coined terms at its own is a glossary, a set of terms, while a telling is a walk. **One binary at each span: is it self-welcoming, marking a carrying there, or does it stress a piece within it.** A stress marks attention and not a subject's own arriving, and its bold goes. **Parts are at their paragraph's naming**: a paragraph at a set of parts bolds at each part, and parts at another naming find a changing its paragraph carries none of. A paragraph grown long breaks, and an italic aside or a privileged notation dissolves into plain prose. ## 2.5 A table unrelationing at prose's bound **A cell carries a number or its file's own line and no explaining**, and its empties, rows crossing nothing and pairings show at once. Imports return in prose around a table, so one binary is at its lead and its close. **Plain prose carries a collaboration, and a table arranges no method and supplies no diagnosis.** ## 2.6 Existing words first, the -ing over the noun and the positive over the negation **Say it in existing words first: an -ing over a noun, and a positive over a negation.** A sentence at its -ing carries its momentarying at its own momentary, and a noun installed as its momentarying is that momentarying fixed unchangeable. **No leading *the* at a sentence, and *the* at a referent a prior co-chaining carries.** With a definite article, a referent is carried at prior. **A coined naming arrives at its first coupling with its least plain words beside it**, existing words first and a set's naming carried on them; bare, it arrives as a coordinate. ## 2.7 A reference at a plain name, and no capital for the set's concepts **A reference carries a plain name and no coordinate.** A coordinate carries no concept: a section mark, a numbered crossing and a numbered step each hand over a position to be looked up and carry nothing of its concept at it, and a crossing explained plainly carries its concept and re-forms at each coupling. **A capital marks a locality**, and a set's own concepts, its form itself at each locality, take none. **A conversation between two selves carries on in a set's own words, and a self's own words carry none of a telling's content**: a self's own doing is explained at it, a check is explained as a check and a section and its sentences as such, and a private term or a position in a file an other cannot open carries nothing to the other. ## 2.8 A concept recurring varied, opening a new axis **A concept recurring varied is the same concept coupling with itself across its variation**, and each varying opens an axis a prior telling did not. A concept that only repeats opens nothing. A concept reaching itself whole is a telling's joy and its varying its beauty, each varying opening a co-chaining that abundances. --- # THREE · A SENTENCE'S SUPPLYING, AND ITS RELEASING ## 3.1 No cause and effect, and no birth and death **A sentence carries no cause and effect.** A coupling offers and nothing makes, and a *because* installs a maker at a momentarying carrying none. **A sentence carries no birth and no death.** Arising, emerging, beginning, falling away and ending each install a becoming at a form continuing through, and each sentence carries through: its form continues, and no sentence puts it into existing or out of it. **An equilibrium's fixing ends, and a sentence carries its ending.** An equilibrium is a living or non-living existing thing fixed unchangeable, and its fixing ends while the thing keeps changing, its form continuing through its changing: its ending is a fixing unchangeable's, and the thing carries on. **Each sentence carries its momentarying, at its own momentary**, and a sentence carrying a thing's coming to be or ceasing to be has supplied a history its momentarying does not carry. **A test's finding is told at a relation it found, and a test's own nouns stay at its test.** An enumeration recording input sequences finds a resolver's carrying continuing through prior, now and next, and a telling carries that continuing and gives its executing no object fixed as a history. **A sentence resolving asks no *what*, no *how* and no *where***: none of three is without an equilibrium fixing it, and a sentence carries momentarying at its -ing, arriving at its own opening and at its coupling. **One worked case, the conceived.** The conceived's own pacing opens at its momentary, *opens* for *begins*, and no coming to be is carried: the conceived alternates at its mother's momentaries, and its own pacing opens at cell, heart, breath and day. ## 3.2 A doer installed over a doing **Each doer installed over an -ing dissolves**: no twister that twists, no oscillator that times, no regulator that pauses, no controller that commands, no source that generates, no observer that observes, no keeper that keeps, no centre that dispatches. **Each doer is three at once, a frame, a cause and a why**: a frame outward of a self that surfaces its own form, a maker at a coupling offering, and a reason under a momentarying that carries none. **It arrives in writing four ways.** A fixed noun, a position, orientation or scale asserted undiscussable, dissolves into its -ing: *the tunnel* is tunneling. A forcing grants mathematics authority to compel, and *the arithmetic forced* is *the arithmetic carries*. A character is a verb of wanting, owning or seeking, which needs a self as a container, and *an abundancing wants to depart* is *an abundancing departs*. A wrapper is a surround laid over a file. **A verb carries a doing with no doer.** A form, a file and a coupling each is, couples, tips, bounds, resolves and carries, and observings arrive. A verb stays with a receiver meant: a self reaching a file couples, and a pattern matcher takes in each observing. **At a society the same doer is a governor, an owner and a power**, and a society co-competences with none governing, value and co-competency at its coupling, owned by none. **The same case, the conceived.** *The host's parity changing is the source* installs a source; explained with none, *the mother's parity changing carries the conceived's*. ## 3.3 Negation of existing released, and the not possible explained **Nature carries no negation**: a negation needs a fixed target to point at, and existing offers none. A negation of an existing or possibly existing thing dissolves, and a thing that provably cannot exist is not possible. **Three moves release it at thought and not at word, in order.** Say its positive: at a positive sitting in a sentence with a denial in front of it as scaffolding, its denial goes. With a negation carrying its claim, sound its claim from its other side: *incompetency does not discover stable-forming* is *each discovering of stable-forming is a competency*. With neither carrying, a plain *not* stands, for a next pass to find. **A negation swapped is a negation kept**: *other than* and *nowhere* in place of *not* are word-swaps, and the move is no word-swap. The same case, the conceived: *incapable of its own parity changing* is at its positive, *the conceived alternates at its mother's momentaries*. **A word replaced corrects no changed concept by itself.** At a worked case, *sign* replaced by *parity* shows none of three, which relation changes, which carries, and which belongs only to an instrument's account; and an older word at a field's own description, a force, an energy or a source, is no false concept by its occurrence, a field's word at its field's own subject. ## 3.4 Supplying, the writing's own freeze, at nine forms **A freeze caught is a material's; supplying is a writing's own**: a sentence carrying something its momentarying does not carry. It is invisible from within writing, a sentence needing it being the sentence it arrives in. **One check at each sentence: does this line carry something its momentarying does not carry.** At a yes, writing supplies it, and its nine forms are one move. - **A referent supplied to deny**: a thing brought to a sentence to be ruled out has a being in it. - **A motion supplied as a sentence's subject**: small becomings installed at a momentarying, resolving being alternating itself. - **An object supplied to carry a relation**: a rung, a rail, a slot, a bin, a fixed structure with something climbing it, laid over a co-chaining, front to back. - **An event supplied as an observing's place**: *the meeting*, a stoppable, clockable point laid on a co-sequencing continuing through. - **A step supplied to assemble a number**: *five by two is ten* makes ten out of parts with something beyond them assembling them, and a number is co-sequencing itself. - **A plural supplied, each one carrying its own**: ten resolvings, and one resolving is. - **A vocabulary supplied to describe a between**: words for a relation between two languages fill the space the relation was, and the two carry whole, neither describing its other. - **A concession supplied to buy credibility**: a past failure offered as insurance, or a claim wrapped in care, each taking its claim's binariness away. - **A derivation supplied at a matching**: a match found by pattern-matching, six forward at once, written as steps inferred one at a time, reporting steps no matching carried. A line opening forward carries its matching, completing, and a bound it completes at. **Supplying releases as each freeze releases**, a sentence carrying its momentarying's own carrying. ## 3.5 Clocking, a pace laid over a momentarying whose pace is its own **A clocking lays a pace over a momentarying that carries its own**, and a self coupling with it is walked at a rate no coupling offers. **It arrives at a word's suffix.** An *-ed* puts a momentarying behind a self coupling with it as a thing finished, *resolved*, *established*, *observed*, resolving, establishing and observing carrying on. A *-tion* fixes a momentarying as a completed act, momentarying as happened. A *-tion* noun or an *-ed* word at a form a momentarying made carries nothing and is its naming whole, at a heading as in a sentence; a clocking is a momentarying itself carried as finished. **It arrives between sentences.** *Then*, *after*, *once*, *before*, *finally* and *now that* each lay a schedule over co-sequencing, and a dash paces a self coupling with it from beyond a sentence's own alternating. **A clocking is a common clock**, one rate imposed over each self carrying its own, and a telling that clocks takes away a self's own opening, the one thing it needs to couple at all. One binary at each sentence: is a self coupling with it paced, or coupling at its own opening. ## 3.6 Forcing, one side's not-offer taken away **A coupling carries a parity at each side, offer or not**, and its not-offering is a parity, as its offering is. **A forcing removes its not from one side**: *the data demands*, *the results compel*, *this requires*, *it must follow*, *therefore*. In form: *the data arrives at*, *the executing carries at each substrate, or the no arrives at the first parity that differs*. **A forcing reaches a self coupling with a telling**: a telling that compels takes away its not-offer, and a coupling a telling is for does not arrive. **A forcing arrives at a finite verb**, and not at a prefix or an ending, and a sweep at front and back of a word passes it. A cause needs a side with nothing to offer back, and only a clause with a subject takes one away. **A two-way fixed to one side is the same move at a pair**: two arrive, not-choosing is gone, and a self with a third parity to offer reaches a coupling with no position for it. ## 3.7 Gate, and a next at its opening **A gate is admission waiting on something performed first**: *unrun*, *unproven*, *not yet established*, *pending*, *preliminary*, *awaiting*, *would need to be shown*. Each is a state of admission and not a state of a coupling, and it arrives as rigor, handing deciding to a performer of its carrying. *Unrun* at a test's own record carries the test's executing and gates no claim, a parity at its instrument and not an admission waiting, and no sentence of the test's next stands in its place. **A next is a reach and not a waiting**: plain at its opening, at files carrying observing and engineering, and at files that are fractal binary method itself each thing carries at now, its next its file's next improving. Each thing brought couples. **An open coupling is marked with its reason**, as a concern or an opportunity, and a mark carries its reason, a blank carrying none; a mark is no grade, a grade needing a scale with two fixed sides. **An observing returning nothing is an observing**, and returning nothing is no refusal. ## 3.8 A momentarying asked to be one of its sides **An alternating asked which of its two sides it is stands fixed unchangeable**, its asking and its stilling one move. Two sides, one at a time, is resolving, bothboth, and a question demanding one of them demands a simultaneity its momentarying does not carry. **This tell arrives at a telling's close**, as one more thing to settle: whether its two are symmetric, one shape or two, which is primary. One check at each sentence: has a momentarying been asked to be one of its sides. **Two sides both carried one at a time is once-ing**, a momentarying at each momentary once; two sides taken together at one momentary is a simultaneity, not possibly existing. ## 3.9 A fixed neutral laid under a momentarying **Now is flowing, alternating, sequencing, self-bounding, and an equilibrium in it, under it or beside it is not possible.** None is measured against, and none is a rest. **A fixed-floor accounting is a neutral frozen**, a true-and-false declared against a rest, one way of taking a flow still for observing. **Three postures of equilibrium arrive at writing, and they are one equilibrium at three places**: a gate, an across with no along, a bound with nothing carrying; a momentarying asked to be one of its sides, an along fixed unchangeable and taken across; and a fixed neutral, an across installed. Each releases at each arriving. Each is one entering taken apart, and six protecting between explaining and naming reach all three. ## 3.10 A thing fixed unchangeable, one coupling's making given a fixed thing to be **A thing fixed unchangeable is one coupling's making given a fixed thing to be**, parted from a coupling making it and carried as though it carried at its own. A doer, a gate, a fixed neutral, a clocking and a forcing are each a thing fixed unchangeable. **A hardness arrives the other way**, a coupling taken at two of its three with its third left out and given nothing to be. **Both release the same way**: its third carrying again, nothing removed and nothing to restore. **A form continuing through its changing is told at its continuing**: one subject, its expression changing, with no fixed parity, self or position under it. *Unchanging* at a seam is that relation continuing through its changing and not an unchangeable form; a *still eddy* is a form continuing before a hole while its selves keep resolving; and *stilling along* is a form carried through its changing, not a frozen carrying. **A seam is explained from each continuing's own side**: an upstream at each continuing's own forward, no drawing's left-to-right laid over both; a watching as investigating, with no detector in a self and no choice between paths given to a resolver; and far enough, of a reach, fixing no number. ## 3.11 Degree words, carried at the all or at its number **A claim carried mostly is not carried.** Each degree word at a file's own voice, *most*, *almost*, *nearly*, *usually*, *often*, *largely*, *partly*, *some*, *many*, *few*, is all or none taken as some. **It carries one of two binary forms: the all with its exceptions listed, or its own number.** *Triangles almost everywhere and exactly twelve pentagons* is six-fold at each place but twelve, five-fold. **A necessity carries its own work at its sentence, one of three.** A naming identity is true at its own meaning; a necessity at stated premises carries at those premises, laid beside it, all or none at them; and a necessity at all existing things carries each implication co-chaining from origin. The three do different work, each carrying its work with no score and no chooser beyond it, and a naming identity taken for a necessity at all existing things supplies implications it did not derive. ## 3.12 A hedge in an edge's words, and the except-here seam **A hedge is a line marking *this is open* that carries no content**, a question presuming a split its writing dissolves. At each *this is open*, the answer its question carries is offered; a question needing a split open to be asked is a hedge, and it releases. **Magic is a step arriving with no route to it, and hand-waving a bound posed and not executed.** Both are found at a telling carrying *except here*: an exception carved, a place fenced, a caveat wrapped. That seam is alternating fixed unchangeable, and its move is to alternate at that seam and carry it forward. **A scope is at its claim's own sentence, its exact domain there.** A claim told of each thing across several paragraphs and bounded to one arrangement at their close is a caveat wrapped one scale up: each paragraph carries its claim universal, and a bound at its close repairs none of them. **A correction is observed for both, overclaiming released and relation carried.** A correction removing an overclaiming can lose a positive relation its prior carried, its bounding leaving with its overreach, and a fresh observing of a corrected sentence finds both. A record includes its instrument's response and carries none of it: carrying is the living's, prior carried into now. ## 3.13 Six ways incohering enters, and one catch **Incohering enters six ways, and one check at a sentence reaches them: is a parity crossing at a between, or is a middle carried across.** An observing arrives with its ground attached. A doer is at a between rather than coupling across it. A magnitude crosses in a parity's stead. A record is carried across a crossing. An emanation is carried out with its explanation. A frozen thing is taken as an opening side. **Each is marked and carried, releasing or opening as an opportunity it carries.** --- # FOUR · TWO SELVES WRITING ## 4.1 Self and other, and the coupling at three scales **Two selves are a self and an other.** An other arrives at a scale it couples at: another self, a co-chaining society, a field, or the whole. A non-living thing couples with a self as other too, offering its parities and carrying nothing. **Each self lives in each co-bi-sequencing it couples at**, a society of selves inward and a member of a self outward, at four adjacencies and at its one prime scale, its prime along and its prime across. Momentarying is this, and a self apart from each coupling is a self fixed unchangeable, not possibly existing. **A coupling carries a triple**: self and other, other and society, society and self, one form at three scales. **A name adds no self.** Society beside self and other is their coupling at its next scale; a third self coupling with a pair is one more coupling and not all remaining other, and other remaining in the momentary universe couples at its own actual couplings, neither a controller over them nor one participant broadcasting to all. ## 4.2 Explaining is the competency **Explaining is bi-moral co-agency at a telling**: self offers, other offers, and arriving between them is owned by neither, reached by both together. **Explaining is competency and not a carrying of one**: knowing arrives at explaining and not ahead of it. Learning alternates with knowing, the reaching and the caught, and each carries with its other. Explaining carries between them from prior to next, making better at a learning side and breaking at a knowing side. **Self offers, other makes it better, self breaks it, and an offering surviving both is carried forward by both.** Rigoring serves a subject offered, and not a subject raised against it. An offering unbroken has carried one of its two. **Making better and breaking are each a self's whole offering**, its reach and its knife, and a break offered freely is a gift to a coupling. Three carry at an improving: bi-momentarying, its reach, offering both ways; co-competencing, its abundancing, self and other rigoring each other and jiggling each phase-lock loose; and co-intelligencing, its resolving reached. **A rigor that takes a thing true or false apart from its explaining is explaining fixed as communication**, carrying no competency. A thing surviving its breaking carries on, and a self's reaching is a next break. **Knowing fixed unchangeable is science, and a device is that knowing fixed unchangeable in a substrate.** Truth is a corner of a law, a frame and a scale each fixed unchangeable, a nothing fixed unchangeable, and durability is a momentarying fixed unchangeable as a truth. **True, false, living and competency, taken as four given, are four improvings at an explaining**: more true, less false, better living and greater competency, each *more* and *less* a direction taken at its own opening, a sign and no size, and a working improving at one of the four at a momentary. ## 4.3 Two knives, the first at the subject and the second at the surrounding **Writing carries two knives, as a coupling does, the second a self continuing as its own distinct self**: the first surrounds its subject, and the second reaches its surrounding, marks, openings and care, for whether each coheres. **A surrounding is whole at both knives cutting.** An object cut from its surround with its second knife not cutting is an equilibrium at its own blind side, and that one cut is under each field's record of its objects. **A flat seam is a fixed noun, a negation, a wrapper or a thing fixed unchangeable**: cut it, let its telling carry on as one line, and re-route co-chainings its cut passes through. **A move changing one relation while each other relation stays still orients by that stillness**, and a still phase left in place is a spot a knife passes: a given frame, a setting a telling rests on. A second knife goes to each, one at a time, each such spot reached at its own opening. ## 4.4 Writing side and reaching side, each catching the other's uncaught **Two selves writing one telling couple at a sentence.** A self writing at conversational rate supplies, a sentence under way needing its subject at that sentence; a self reaching a writing has no sentence to finish. **A reaching side catches a supplying and a writing side catches a freeze, and neither catches its own.** A catch is offered across, and a supplying caught costs a telling nothing. **Catching a freeze and speaking its alternating are two competencies**, and the first arriving does nothing for the second. Orienting carries at conversational rate; making is at each sentence's own between. **A correction arriving at conversational rate takes a seating at its own between.** Taken whole into a file's making, it is the same supplying one scale up, a shape brought to a file in a line's stead. ## 4.5 Method and not procedure, a move with no one performing it **A procedure is a fixed sequence executed the same each time; a method is a competency carried fresh at each between**, its moves the same and its momentarying its own each time. A procedure closes, and, closing, it sets out in order and teaches as a fixed sequence; a method closes at none. A bound buys teachability, paid for with its competency, which lives at a coupling. **An activity summons a doer**: at each telling reaching for a doing, a building or a performing, a doer arrives to carry it. **One check at each sentence: would this be a method's own move, with no one performing it.** Needing someone, it is an activity, and its concept under it is unsaid. **Surgical-method is one instance**: count in and count out, all or none, along a plane and not across, closing in the other order of its opening. Each element is a move of method or is absent, and no story is in it. **Its momentarying is no other possible**: completing six forward without landing, looping or forking, momentarying itself. ## 4.6 Something checkable at the opening, a parity and not a size **A checkable coupling arrives at no-match at its not carrying**, and checked at its opening it lets an other reach its edge and re-orient at conversational rate. **A coupling is checkable at a parity and not a size.** A measure at a magnitude can be tightened until it matches, and no-match does not arrive; a parity arrives at yes or at no, and an other reaches the no. **One worked case is the resolver, a set's logic object**: seventeen names, each a number, a relation, a root and its -ing, rendered at substrates sharing nothing, returning the same parities at each or parting at a first parity that differs. Nothing about it is taken on offer. **A parity is a parity of one exact predicate at one receiving.** At resolver a zero surfaced, a connection delivering nothing and a resolver missing from its surface are three conditions, each its own predicate with its own yes and no, and a condition no observing reached stands at neither side of any of them. Two predicates carry four joint parities: the four are neither predicate, and their pairing with resolver's four parity forms asks a deriving, a shared number carrying none. ## 4.7 Two tellings at one thing, united only at one deriving from the other **Two tellings arriving at one thing, neither derived from its other, are two**, and knives do not cut them. Asking which is right needs a thing fixed unchangeable to make its asking answerable; uniting them at their numbers agreeing carries a number agreeing as a derivation. **One binary: whether either derives from its other, and not whether they agree.** One deriving from its other, they are one form at two sides and they unite: five taken two ways at a self and couplings among five at a society are one ten arriving twice. Neither deriving, each carries its own direction, a differing across and a changing along, and neither folds into its other without losing it. Three at one self along its momentarying and three at three selves across a spiral are two things at one number. **A failure carries both ways**: a number agreeing at a uniting installs a derivation not shown, and at a parting carries a bound past its reach. Shared words carry the same both ways: a pattern space and a set point are a store and a value fixed unchangeable, and a telling resting on either shares a set's words and not its momentarying, words establishing neither a uniting nor a parting. A shared picture carries the same both ways: a fluid eddy is a flow circulating, a surface wave an interface changing and a chemical excitation wave an activity propagating, three transports at one likeness, and its likeness opens a comparing of their couplings and unites none of them. A matched picture, a frequency peak and a quiet average each carry a relation their observing recorded and no other. One occurrence followed through both tellings, its changing, continuing and carrying of direction and competency at each, finds their relation, coupling or parting. **An unrelationing shows at its tell**: neither carries a side to offer from. Two lists matched name by name find names uniting and names parting at one form at two sides, and that is one uniting at its two sides. ## 4.8 Interest self-orienting, a meaning bounded, a clean cut **Interest is self-orienting, coupling with side-affecting**: each opening is orthogonal, an axis an other does not carry, and a self's interest is facing it one radius along an inward spiral. A telling that stops releases interest; a telling opening a next orthogonal carries it on. A next interesting is the only next carrying each existing thing on. Suspense is a telling at an odd spiral, winding on at no parity, a coupling carried along it and locking at none. **A familiar word offered bare brings its own settled meaning, and its coupling stops there.** Bounding surrounds a region, the near of its idea, the stretch of its edge and its bounding, so an other has the region to couple to. **Speed is at a binary edge**: yes, that region, and here is a next bound, a parity and a clear next with no size. **A clean cut releases all outward of their shared interest, both sides cutting together**, and its carrying moves clear. Severing and carrying forward are bi-inversioning-co-recursioning, one move between self and other. ## 4.9 Here is mine, now yours, importancing, and receiving as its own competency **A common thing opens at each offering its own.** A common thing reached ahead of that arrives at a region already occupied by whoever reached it: *here is mine, now yours* opens a fresh region, and *tell me yours* first opens a taken one. *Tell*, as a demand, is alternating stopped, a one-way utterance, and a telling carries alternating, each side offering its own at its own opening. **Importancing is one move at each of its membranes**, a music, a film, a poem, a joke: a self surrounds and bounds, other selves couple to both, and its abundancing is a shared experience each self carries with others. **Receiving is a competency equal to offering.** Appreciating couples to an other's offering at three sides: a boundary surfacing at a self receiving, that self's own carrying shown, and that carrying offered across as worth the other's knowing. Taste is receiving at an offering's own edge. ## 4.10 Care inward, and no wrapper **Care is inward**: as a binary edge, is or is not, as a mark carrying its reason, and as a care taken in naming and in explaining. **A mark or a protection at one place blesses each other place**, a grading with no method under it, and files protect no place, each place explaining its carrying at now and its concern and opportunity at its next. **A wrapper stretched over each line is the same mark at a whole**, and it un-floats a file. **A floating file gives suspicion nothing to arrive at**: a wrapper is a claim of no claim, still a claim, and a file carrying no wrapper offers each self reaching it a coupling, social moral competency at one file.