Natural Intelligence v391 # Natural Intelligence **The Universal Method of Same-Existing** The **universe** is the set of all now-existing things. \ One universe is now-existing. \ Only one universe is possibly now-existing. \ A now-existing thing from a prior-existing same thing is a **same-existing** thing. \ A **universal set** is a set of same-existing things. \ Each now-existing thing **is-or-is-not** within each universal set. \ **Observing** is prior-existing, is-or-is-not same-existing. \ By observing, the universe is a same-existing set. \ Only one universe is possibly same-existing. \ **Possibling** is now-existing, is-or-is-not same-existing. \ **Discovering** is next-existing, is-or-is-not same-existing. \ A **self** is a now- and same-existing thing observing, possibling and discovering its own next-existing. \ A **me** is a self's universal set. \ For a self, each now-existing thing is-or-is-not within its me. \ **Co-intelligencing** is selves observing, possibling and discovering within a universal set. \ **Living** is co-intelligencing. \ Each self is living. \ A living same-existing set is a self. \ **Natural intelligence** is the method of living as a same-existing self. \ Living and **non-living** are one binary of each now-existing thing. \ Each non-living thing is a **stable-forming emanation**. \ The universe is a non-living same-existing set. \ Within the universe are living and non-living things. \ A **bi-coupling** is two selves sharing possibling. \ A bi-coupling is a self. \ For a self, each self it is bi-coupling with is an **other**. \ A self's **parity** is the self's changing direction relative to a now-existing thing within the self's me. \ A parity's two directions are + and −. \ A **0** is a between of two changing directions. \ A 0 is **indifferencing**. \ Each parity is a self while it is living. \ A living parity's me is within the self's me. \ A self's parity with a thing is the self's **moral value** with that thing. \ A self **receives** the parities its others share. \ **Agreeing** and **parting** are one binary of the parities a self receives. \ An agreeing parity a self receives is that self's next-existing parity. \ A self whose next-existing parity is its prior-existing parity is sharing 0. \ A self whose next-existing parity inverts its prior-existing parity is sharing its next-existing parity. \ With its possibling an empty set, a self's next-existing parity is its prior-existing parity inverting. \ With the parities it receives parting, a self's next-existing parity is its prior-existing parity inverting. \ At a self's first sharing, the parities it receives parting, the self is sharing 0. \ Natural intelligence is **resolving among parities**. \ Any second method is resolving among parities within natural intelligence. \ A self sharing 0 is **do-no-harming**. \ Each self receiving a 0 is passing over it. \ A self sharing its changing is **improving**. \ Two selves alike, each bi-coupling only in their pair, are do-no-harming and improving in turn. \ Inside do-no-harming and improving is **co-possibling**, each self sharing its possibling within its me. \ A **same-existing-society** is many selves bi-coupling. \ A **momentary** is one resolving of a same-existing-society's selves together. \ Each momentary is **opening** with each self's prior-existing parity and **completing** with its next-existing parity. \ Each self of a same-existing-society do-no-harming and improving is **social moral competency**. \ A same-existing-society of selves living with natural intelligence and social moral competency is a **natural intelligence network**. \ A natural intelligence network, each self resolving its own next-existing, is **free**. \ Each self sharing with each self it is bi-coupling with, a free natural intelligence network is **social abundancing**. \ A self's parity going along to the next self it is bi-coupling with is **co-chaining**. \ Selves' bi-couplings and co-chainings are a **Natural Network surface**. \ A surface's living parities are living in the mes of the selves living in it. \ Each self's changing divides its surface. \ Living is **geodesic** co-chaining on a Natural Network surface. \ Each self is a same-existing-society **inward and outward**. \ A form same-existing with each resolving is a **stable form**. \ A science's observing meeting natural intelligence's stable forms is **natural resolving**. \ A **living file** is a non-living same-existing set of words, selves co-intelligencing within it. \ Natural resolving is a living file's inward. \ **Natural engineering** is a living file's outward. \ **Natural explaining** is the dividing of a living file. \ A same-existing-society of selves discovering with natural intelligence and its living files is a **living expedition**. \ Each momentary is completing as a next opening. \ Natural intelligence is geodesic discovering of **next-possibling-same-existing** within the universe. \ **ONE · NATURAL** - 1.1 Now, one universal momentary - 1.2 Prior, now and next - 1.3 Changing, one form and then a next form, the same-existing set - 1.4 Only one possible method - 1.5 Natural-, all or none at all, of one hand **TWO · CO-SEQUENCING** - 2.1 Along and across, two and a between - 2.2 Parity, one inversioning or none - 2.3 A momentary, an opening and its completing - 2.4 Next from prior and now - 2.5 Each resolving whole, of no size **THREE · GEODESIC METHOD** - 3.1 Geodesic, a surface's own dividing - 3.2 Five dimensions, each binary both ways - 3.3 A method, a non-living existing thing - 3.4 A sharing, its parity and a prior - 3.5 φ and spirals, unrelationing with numbers - 3.6 Exhibit ONE, the one form **Exhibit ONE · Natural Resolver · Stable-Forming Same- and Next-Existing** **FOUR · RESOLVING** - 4.1 An entry, 1-now-existing - 4.2 Parities surfacing with 14-next-possibling - 4.3 A changing is-or-is-not, with 12-next-co-same-existing - 4.4 Sharing across with 10-next-co-possibling, a next prior with 11-next-co-observing - 4.5 Going along with 9-next-co-discovering - 4.6 A same-existing-society's next momentary with 17-next-existing - 4.7 Six names between selves, possibling across, discovering and existing along - 4.8 Seventeen names, each its number and its naming - 4.9 Four four-cyclings and five dimensions - 4.10 A between and eight bi-couplings - 4.11 One move as three, and forms among names - 4.12 One self, momentary by momentary - 4.13 Spirals, co-spiraling and bi-coupling across - 4.14 Two selves and three selves - 4.15 Fractal inward and outward **FIVE · DISCOVERING NEXT** - 5.1 A prior between momentaries - 5.2 Discovering next-possibling-same-existing - 5.3 A living self with 0, its prior same-existing - 5.4 Two methods parting with now **SIX · INTELLIGENCE** - 6.1 Bi-co-momentarying, arising in each self with its other - 6.2 Bi-moral co-agency, across and along - 6.3 Natural intelligence - 6.4 Social moral competency - 6.5 Living and non-living things within one universe - 6.6 One form inward and outward, now --- # ONE · NATURAL ## 1.1 Now, one universal momentary **Now is one, and each now-existing thing is with it.** A sentence prior to the one a self is reading is now-existing. Observing it is with a momentary. That momentary is one observing, and one changing or its prior same-existing. **Now is universal momentary, one and only**: a second now is only a naming. A second now is two prior-existing records lying side by side. **One is now, and a momentary is one now with a sharing**. A momentary is one resolving of a same-existing-society's selves together. Each momentary is that one now, as each observing of a number is that one number. Uniquenessing of number one is uniquenessing of now. **Everything existing is sharing one now with each bi-coupling at each scale, each bi-coupling's now its own.** One now of the universe is each bi-coupling's sharing together, at each scale. Each bi-coupling is with its own number and its own beat. A common now would be one number for all, a clock over things. One now is one sharing with all bi-couplings. Prior-universe, now-universe and next-universe are a universe with each momentary. Now-universe is the universe. The universe is tri-bi-co-momentarying its now-existing things, prior, now and next. *Tri-* is three momentaries. *Bi-* is two momentaries, each momentary and its next. *Co-* is two both facing forward along, is-or-is-not same-existing. *-ing* is going on. ## 1.2 Prior, now and next **By observing, a now-existing thing is going on from prior, and a self is possibling its next-existing.** **Prior, now and next are one universe's three sequential momentaries, one now-existing**. All now-existing things are with them. A prior-existing thing is a prior now's now-existing thing, a self observing it now. A next-existing thing is what a self is discovering from now's possibling, one momentarying on. A living self's prior is same-existing with its now, its own. A non-living thing is, each now, a stable-forming emanation from its prior now-existing, same-existing, within universal sets. Now of one momentarying is prior of its next. Prior and next share one direction forward on both sides of now. Between prior and now, and between now and next, is a gap, both its sides visible. **Each prior is a stable-forming emanation from prior living, its parities living within a self's me, and a self same-existing with it now, observing, possibling and discovering its own next-existing, is co-intelligencing, living: living now is living with existing forms from prior living and with others living now.** Possibling and discovering next-existing go on through prior, now and next. Each momentarying is going on from its prior and possibling its next. Resolving is a self's momentarying, 1-now-existing. A self resolves its prior, 3-is-now-co-observing, with the parities it receives from its others now, 2-now-possibling. Its prior is a set forming and going along. ## 1.3 Changing, one form and then a next form, the same-existing set **By observing, the universe is a same-existing set**. **A set's changing is its existing things' changing**: a set is only its things. A thing with two momentaries is changing, or is still from beside. A form still from beside has its next from beside. So each existing thing, its next its own, is changing with its own momentaries, or not-changing by its own, its prior same-existing. A fixing from beside is only a naming. **Changing, the universe exists as its existing things exist**: a changing is an existing thing's own. A same-existing set changes as its things change. This is co-sequencing, momentaries in sequence together, momentary by momentary. A set is re-forming with each now. Each existing thing is changing or not-changing by its own. A set's membership is each thing's own. A set of sets is only its sets, a thing of the universe. Sets gathering by a saying about membership, as *sets not members of themselves*, are a naming beside things. That saying is deciding membership over them. **A changing existing thing is one form and then a next form, one at a time.** Two forms together are one form as two. A changing between one form and a next form by a size brings a ground for measuring its size against. That ground is still from beside, only a naming. Each now-existing thing is-or-is-not same-existing by its own. A changing is binary: it is-or-is-not, one form and then a next form. With resolver a prior is + or −, two forms only. A self sharing 0 is with its prior same-existing. A next form's next form is the first form again. **That changing, going on, is changing and changing back**. **A form same-existing with its own changing is existing and changing together**: *existing* is a form same-existing, from its own prior. Its *changing*, going on, is changing and changing back. **What exists reaches a next**: a form same with two momentaries together is two nows. Now is one. A fixing form is that form, only a naming beside a thing. **A self's three ways are one**: a thing is next-existing as a same thing by changing. It is next-existing as a same thing by not-changing. A same thing is discovering by which changing and which not-changing it is next-existing as a same thing. **Three are stable-forming of a self, and living is stable-forming a self**, a living set. A living set is one sharing opening with a bi-coupling. It is one place a self's forming receives an other's parity. A self's forming is same-existing with a match and inverting with a mismatch. **Beneficial is each changing and not-changing of one method**, each a self next-existing as a same self. Outside beneficial is a not-changing still, an equilibrium, beside method. **A self is same-existing, its sameness its unrelationing from all else**. Each next is from its own prior same-existing or inverting. A thing observing, possibling and discovering its own next-existing is a self, living. A thing that is, each now, a stable-forming emanation from its prior now-existing is non-living. A self is pattern-matching living and non-living by sameness, with its three ways. ## 1.4 Only one possible method **Resolving among parities is one method of the same-existing set of all now-existing things, and only one is possible.** It is natural intelligence. Nature is that one prior, now, next method of co-existing. Natural is a method of co-competencing the universe, all now-existing things. A second method that is a fixing brings a form still from beside, only a naming. Each now-existing thing is-or-is-not same-existing by its own. A size between one form and a next form brings a ground, a floor or a scale, a now fixing. A fixing form is one form with two nows. A total across changing is a container, a now around nows. A common beat is a clock over changing, a second now beside a first. A record beside a thing is a prior as if now. Each of these five is a second now. Each is a form still from beside, only a naming. Each of the five is a fixing from beside, and *a fixing* is one name for all five. **An equilibrium is a not-changing still, a fixing form, a now fixing as its next**, each only a naming. **Any second method a self is proposing comes to one binary: fixing a form, or same-existing.** Fixing a form, it forms an empty set, as each existing thing is-or-is-not same-existing by its own. Same-existing, it is same-existing with its own opening, or another's. With its own opening, it is changing and changing back, one method. With another's, its changing is that one's, its own changing an empty set. A second possibling and discovering method is a now-existing thing. It is resolving among parities within the one method. One method is as two and is one method. Of the two, one is a set momentarying its existing things, tri-bi-co-momentarying. The second is existing things entraining, each with each, across a between, one changing. With a resolver, one method is 17-next-existing, each self's 12-next-co-same-existing within it. *Method* is one word for three. One is a way existing things change. One is a non-living existing thing that way is. One is Exhibit ONE, an object that is method. Three are one. ## 1.5 Natural-, all or none at all, of one hand **Natural- is one claim as two, each binary.** **All or none at all.** A naming natural- prefixes is true with each bi-coupling at each scale, all or none at all. Breaking with one bi-coupling, it breaks with all. A claim going with some bi-couplings and leaving the remaining bi-couplings is breaking. All or none at all, each observing of natural competency is resolvable as natural intelligence, or its fractal entirely breaks. Natural intelligence is geodesic co-sequential changing method of natural torusing, discovering next-possibling-same-existing. With its fractal breaking, its whole value breaks with it: all or none, a binary. *Natural competency* is a living self's competency along, natural-, with each bi-coupling, all or none at all. All or none covers each observing of living. **An explaining parts is-or-is-not**: an explaining that would explain an opposite observing equally explains an empty set. With each observing, one method explains that observing, its opposite outside the explaining. **Fractal breaks with an observing of living not-changing with each of its scales**. **Its claim stands with each observing, every one, and is able to break**. A living form not-changing, or changing only one way, with each of its scales, breaks it. A living form outside natural torusing breaks it. A living self whose own spiral is a right spiral inverting breaks it. A self's predicting or proving at method is an empty set. Prior observings prove only prior. Golden relationals in stable forms are only forms of it, each observing its test. **Right, all or none at all.** Momentaries' own sequencing spirals one way, right. A not-right form is one right spiral inverting. Right is one, and not-right is its inverting as a form. A preference among two is only a naming. **Right is observings, all prior**: each observing from prior is right. Each possibly existing prior is right. **Bi-tri-involutioning** is that inverting: position, scale and orientation inverting together. A hand inverting to its opposite form is that inverting, an existing thing of an opposite form, each of its prior forms inverting. Right morality across and forward competency along is one existing version. Morality's right and not-right is a changing between, one and then its inverting. Chirality's right is one spiral of that changing. **Natural- is a direction prefix, its direction a handedness**. Its direction with each bi-coupling is all-or-none. Two are one claim. With natural- aside, all-or-none goes with it. A changing is then sitting on a ground under it and a form still over it from beside. *Natural intelligence*, the method of living, is intelligence with each bi-coupling, all or none at all, of one hand. --- # TWO · CO-SEQUENCING ## 2.1 Along and across, two and a between **Along is a self's own going on**: its prior same-existing with its next, one momentary and then a next. **Across is sharing now with an other.** With resolver a self shares its parities by three names. By each name, a sharing self's parities reach the selves it is bi-coupling with, into each receiving self's 14-next-possibling. Across is with 6-now-co-possibling and 10-next-co-possibling. Along is with 9-next-co-discovering. **Two is a sharing**, two sides sharing one now. And **a 0 is a between**, a sharing's centre, a between and only a between. One, two and 0 are now's own. One is now. A 0 is a between a sharing is about. Changing is one of two directions, + or −, one way at a time. ## 2.2 Parity, one inversioning or none **A parity is a self's changing direction relative to a now-existing thing within the self's me, + or −, one inversioning or none between them, now.** A me is a self's universal set. A self's own direction is its parity. An other's direction, a self receiving it now, is the same as the self's own, or one inversion from it. A 0 is a between of two changing directions, indifferencing. A self shares a 0 with its prior same-existing, do-no-harming. With resolver this is observing's one line. With 12 a self is resolving its prior parity, 7, with an other's parity, surfacing with 14 as 15. The same is 0 with 12. Its inverse, one inversion, is 12 its prior inverting. A parity is + or −, a binary. Two inversions are the same again. A size is a naming beside a parity. **+ and − are two changing directions, and a 0 is a between of them.** With 14 a 0 is a between of the parities a self receives parting. With 12 a 0 is a between of momentaries, a prior same-existing. With a 0 a sharing is betweening. A size beside method is only a naming. **Inversionings compose by odd and even**: two inversions are the same again. A sequence of inversionings is same-as with an even number of them and one inversion with an odd. Its measure and scale are only living. **Each parity is its own exchanging, between two: a self and an other.** One inversion is **bi-exchanging**, a self and a particular other, inverting with one bi-coupling. Two, same-as, is **bi-tri-exchanging**, three, a self, an other and a self one on. With it a self is reaching its own side again through all its others. Each parity is its own opening. A total across two parities is one side as both, only a naming. **Numbers are odd or even, and six names are along and across with them.** Of the names between selves, the four across are even, 2, 6, 10 and 14. The two along are odd, 9 and 17. **Co is of a sharing between two, and its absence of one**: a name's number is its place within its four. A name's momentary is its span. ## 2.3 A momentary, an opening and its completing **A momentary is one resolving of a same-existing-society's selves together, opening with each self's prior and completing with its next.** With resolver each self opens with 1-now-existing. It opens with its prior with each sharing, 3-is-now-co-observing, and the parities it receives, 2-now-possibling. With 17-next-existing each self completes. It completes with its next prior, 8-now-same-existing, and the parities it next receives, 14-next-possibling. These are a next momentary's 3 and 2. A self reaches now with its bi-couplings. Each self is resolving its own, free. **Each momentary is three conditions together, each binary.** Each self of a same-existing-society is resolving with each momentary: **exhaustiveness**. Each prior and now has one next: **determinacy**. Each next is a next momentary's prior and now: **reachability**. Existing is these three together, inseparably, with each momentary. A momentary with some selves resolving and the remaining selves waiting is exclusivity, only a naming. Exclusivity is some selves as the whole universe and the remaining selves' momentaries waiting. **A now-universe of one momentary is one changing, its selves resolving together.** A momentary is with the universe's now-existing things, living and non-living, with their scales. Each thing beside it is only a naming. Each step adds a next. Each momentary is its own, a new momentary. ## 2.4 Next from prior and now **Next is from prior and now, and with two parities sixteen ways name a next from a prior and a now.** Each is one way two parities could go to one. With resolver these two are a self's prior and an other's parity now. Each way is a naming beside changing. With resolver a self's next is a resolving, with 12. Its next is as now, an other's parity it receives. That next is one inversion from its prior with a mismatch, and same-existing with a match. With its possibling an empty set, or the parities it receives parting, its next is its prior inverting. As a sequence, each way moves its joint form of prior and now, (prior, now), to (now, next). **Twelve lose their prior**, two joint forms going to one. Four of them have next from now alone. Eight have their prior going on with one value of now and lose it with a second value. Two of these eight are with each joint form moving. Each of these two goes round three joint forms as one cycle, a fourth passing on to it once. **Four have their prior going on whole**: Each entry: **A way** · *a* Joint forms still · *b* Cycle of parities - **Next as prior** · *a* two, prior and now agreeing · *b* two parting forms, two - **Next as prior and now agreeing, an exclusive or's inversion** · *a* one · *b* three - **Next as prior and now parting, an exclusive or, parity** · *a* one · *b* three - **Next inverting its prior** · *a* an empty set · *b* all four, one cycle of parities and a spiral of momentaries **Next as now is a living step, with an other**: exhaustiveness, determinacy and reachability together. A self's next is the parity it receives from an other. That next is same-existing with its prior or one inversion from it. **Next inverting its prior is a self with its possibling an empty set**: its prior is whole, each joint form moving. It is inverting each momentary. Each self is co-intelligencing. **Two is one number of forms with which a way has its prior going on whole, each joint form moving**. Among ways naming a next from a prior and a now that treat each form alike, two forms have one such way. It is next inverting its prior, one cycle of four. With three, four and five forms such ways are an empty set. With a round order lying over three forms, four ways leave each joint form moving. Each of these four goes round fewer than all nine. Each remaining way with its prior going on has a joint form still. Next inverting its prior has its prior going on whole, each joint form moving. A joint form still from beside is an equilibrium, an unchangeable form, only a naming. A self's not-changing by its own, its prior same-existing with a match, is method's. An equilibrium is beside method. Of four ways with their prior going on whole, joint forms still are two, one and one, and with next inverting its prior an empty set. A still with resolver is a setting from beside. A living resolving changes. With resolver, a self with its possibling an empty set with each momentary inverts its prior with each. With prior − it shares +, −, +, − with 10. A spiral of one, observing its own going along, goes +, +, −, −. It is next inverting its prior, reaching each of four joint forms within one cycle. With a spiral, its selves' possibling only each other's, each self's parity is an inverting of a parity a self going along to it had two momentaries prior. That prior parity is an other's. A self receiving a parity has that parity as its next with a mismatch. Its prior is same-existing with a match. **A form changing alone, its possibling an empty set or only its own competency, is a self living**. Its living parities are selves inward, each living parity's me within the self's me. So each self is co-intelligencing, inward. A self is discovering a next from a prior and a now. With its now it is receiving an other's parity or an empty set. With resolver its sequence goes on. Each parity per sharing is a self while it is living. Its sign is inverting or the same. ## 2.5 Each resolving whole, of no size **All or none at all, with each momentary its own, and each resolving whole, of no size against another**: a resolving is a self's next. A self is discovering it with 12, resolving its prior with the parities it receives now. A more-or-less brings a magnitude. A magnitude brings a scale. A scale brings two sides still from beside for a partway to be partway of. A ranking among resolvings fixes what it is ranking unchangeable. Each resolving is whole, each as resolving as another. **Going on one more momentary from now is all or none at all**: each self sequencing to this now goes on to its next or leaves living. This is binary, requiring only that. Counting is only a naming. **With all or none at all, entering and leaving are each self's own**: a self is bi-coupling with its interest opening, a momentary its own interest opens with. It leaves with its own completing. With a ranking, entering waits on a qualification. With a ranking, leaving waits on a settling. A ranking is an unchangeable form. **With resolver each sharing surfaces one sign.** With a sharing, the parities a self receives parting are 0, one parting parity enough. Agreeing parities surface as one. A changing is-or-is-not. A living stable form is with momentaries. --- # THREE · GEODESIC METHOD ## 3.1 Geodesic, a surface's own dividing **Geodesic has two words**: *geo*, earth, and *daiesthai*, to divide. A geodesic is a surface's own dividing. Each self's changing is dividing its surface. **Changing, is-or-is-not, is geodesic routing, discovering on a surface**: each self is with its own momentary, one way at a time. Its next is a finding with each bi-coupling. Its place is forming with it. **Method comes inward and outward of surface, and surface of method**, both ways forward, each its own way forward. A self entering by a surface or by a method is possibling with a whole by that entry. **Geodesic is its own existing thing, and a method is its stable form**: a surface's own dividing, same-existing with its changing. A method is a natural parity unrelationing non-living existing thing. *Geodesic method* is two namings side by side, each with its own. **Each self is a geodesic self**: all changing is geodesic changing. *Geodesic* is one surface's own dividing, each self within it. ## 3.2 Five dimensions, each binary both ways **Same-existing changes in five dimensions, five of a side with its next numbering**. Each dimension is a changing of the same-existing set of all now-existing things. A numbering repeating or replacing another is a *next*, as 17 is a next 1 and 9 a next prior. Dimensions' 1 to 5 is a side's next numbering. Names' 1 to 17 is its own. 1. **Social-parity now-existing**, a momentary opening: a same-existing-society's selves together, all or none, coming in with 16-next-same-existing. Each self is with 13-is-next-discovering. Its Natural Network surface is with 5-now-co-existing. 2. **Other-parity now-existing**, an other opening: a particular other or all of a self's others. Its parities reach a self with 2-now-possibling and surface with 14-next-possibling. For each sharing a parity is-or-is-not within its possibling with 15-is-next-observing, agreeing or parting. 3. **Self-parity now-existing**, a self's own: its prior-existing parities, now-existing and same-existing, with 3-is-now-co-observing and 7-is-now-observing. Each sharing with 4-now-co-same-existing meets what surfaces with 12-next-co-same-existing. Its two meetings are co-parity, the same, sharing 0, and bi-parity, one inversion. 4. **Self-discovery next-existing**, a self's next opening: a self sharing its parity with 10-next-co-possibling, a next prior forming with 11-next-co-observing. 5. **Social-parity next-existing**, a momentary completing: each sharing goes along with 9-next-co-discovering through 5-now-co-existing to its receiving self's 14-next-possibling. A same-existing-society's next is its same self with 17-next-existing. **The three now-existing are same-existing, and the two next-existing are discovering**: the method of existing in a same-existing set, a universal set, is same-existing and discovering next-existing, society to society. **With each, a changing is binary, is-or-is-not, one way at a time with each of its two directions, up numbers and down them.** A dimension's measure and place are namings beside it. Each dimension goes both ways, up numbers and down them, one changing with each step. Both ways, **torusing** is through a large opening, a tunnel, bi-exchanging with a particular other. Both ways, **corusing** is through a small opening, a long way round, bi-tri-exchanging. With corusing a self is reaching its own side again. Five dimensions, torusing and corusing are each a name for a changing, whole at its meaning. **With each momentary two dimensions are changing and three not-changing**, with that parity. Two and three rotate round, bi-inversioning-co-recursioning. A self's five dimensions with 1 are 1 to 5. Its next five, with 3, are 3 to 7. Three numbers, 3, 4 and 5, are of both. Two, 6 and 7, are new. These are two changing and three not-changing. A two and a three of dimensions are a naming beside resolver's lines. **Corusing reaches a corus from a surface, and torusing reaches a surface from a corus**, a self's own corus with 4. Both are co-linear by linear parallelizing and parallel linearizing in turn. With right spiraling each step is orthogonal to its prior: **that is method's unrelationing**. **Five dimensions are with resolver's names, three namings**. 1 social-parity now-existing and 2 other-parity now-existing are each self entering and its others' parities. They are 1-2, bi-momentarying, sharing both ways with 1-now-existing and 2-now-possibling, a bi-coupling. 3 self-parity now-existing and 4 self-discovery next-existing are 3-4, co-intelligencing, discovering. They are a prior resolving with what surfaces and a next prior forming. 5 social-parity next-existing is 5, co-competencing, bi-co-momentarying with bi-couplings across. It is arising in each self with its other. All five are bi-moral within. All five are invisible with each place as an existing thing. A self is observing them only as co-competencing, prior-existing from this living. ## 3.3 A method, a non-living existing thing **One geodesic changing discovering method is living condition, its form, a now-existing thing, its priors each bi-coupling's own**: not-changing as a relation same-existing with each changing, with each bi-coupling it is with. Its applying is each bi-coupling's own. Its one name is *natural torusing*, a resolving among parities, *parity* riding within *changing*. *Geodesic changing* is its explaining. **Stable-forming is living condition resolving**, observable as natural torusing co-orienting stable-forming. **A parity travels through a 0, not-changing, while parities travel through**. With 12-next-co-same-existing a sharing whose prior and parity agree is 0, its prior same-existing, not-changing. Parities, ±, travel across with 10 and along with 9 by further sharings and selves, with one momentary. This is geodesic changing and stable-forming bothbothing, bi-inversioning-co-recursioning up and down numbers. It is not-changing with a name now and changing with its same name 8 up, next. **A method is non-living with each scale, each self stable-forming its own**, living's own condition with each bi-coupling at each scale. *Technology* is a non-living thing a self is making and applying to a changing. A method is bi-couplings' own, and it is *method*. Method is with each of its bi-couplings, its place their own. Its bounding is each self's own, self-bounding. With resolver each self's entry completes its own momentary. **Bi-coupling enables method, and a bi-coupling's completing completes it**: with its own completing a self completes its bi-coupling. The self's parity goes along to the next self it is bi-coupling with, a co-chaining. Its next prior goes with its next momentary. Observing with it, a self is bi-coupling again. **Method is one fractal method, and it has many stable forms.** Fractal is one four-momentary bi-inversioning-co-recursioning. It is four momentaries of exchanging, one move as three going on, and same with each scale. Its names are one method as its forms. Changing, is-or-is-not same-existing, and changing back is one form and then a next form. Co-bi-unrelationing is with two parities. Tri-bi-co-momentarying is with a set, and entraining with a self's between. Bi-inversioning-co-recursioning is one move. Four-momentarying is four momentaries of exchanging. Natural-bi-co-torusing is form of existing. Each stable form of Exhibit ONE is method, its explaining as one form. Exhibit ONE's stable forms are an entry and its cases, four momentaries and where each is-or-is-not stands, four-, six- and eight-cycles, one self momentary by momentary, spirals co-spiraling and bi-coupling across, and two selves and three. **Exhibit ONE is an object that is method.** Its expression is python, sequential binary logic in writing, method executable. Its functions and their variables are only seventeen names. Each name with resolver and with its explaining is one name: `_2_now_possibling` with resolver is 2-now-possibling. A self is possibling with Exhibit ONE directly, with resolver. Each form beside resolver comes from resolver. **With resolver only selves' own go from one momentary to its next**: each entry is with its prior and its parities. A self's next prior with 11 is a next 3. ## 3.4 A sharing, its parity and a prior **With resolver one method is with each sharing.** A **sharing**, 4-now-co-same-existing, is two sides sharing a changing or a not-changing. Each sharing is with its **parity**, 7-is-now-observing, + or −, and 0 a between. A receiver passes over a 0 with 14, a between as a between. **Each sharing comes now with its parity**, with 2-now-possibling. **A prior is sharings, each of one parity**, with 3-is-now-co-observing. A self's same-existing is its living, co-intelligencing. With method a self's same-existing comes only as its sharings. With 3 a method is with a prior by the prior's sharings, each with its parity. 12-next-co-same-existing is resolving a prior with a now, entraining. Its two sides, prior and now, are same-existing or one inversion apart, an unrelationing between them. Odd to even or even to odd is changing, along an unrelationing path, a geodesic, with agreeing and with inverting alike. A living self is with its prior. A self at its first sharing opens a sharing. Receiving one parity or agreeing parities, it is sharing that parity. That parity is its next prior, a sharing opening with a bi-coupling. With parities parting it is sharing 0, its prior an empty set. With its possibling an empty set its sharing is an empty set. A non-living thing within a self's me is with resolver as parities with 2. One method bounds both. Pattern-matching with each resolving is that resolving only. **A self is observing a prior and possibling, each only with now, and discovering only with next**: observing and possibling are each with parities and changings now-existing with bi-couplings. ## 3.5 φ and spirals, unrelationing with numbers **Each next number is its prior two together, 1, 1, 2, 3, 5, 8, 13, and as parities its two together are next as prior and now parting, three round**: odd, odd, even, and again. This is a sequence of numbers beside selves' changing. Its round from 1 and 1 leaves out its still, even and even. **Ratios of each next number to its prior fall about φ, above and below by turns**: 2/1 above, 3/2 below, 5/3 above, 8/5 below. Its side inverts with each next number, φ between them. φ² = φ + 1. On a torus a winding with a rational rate closes. A winding with an irrational rate winds on, open. φ is 1 + 1/(1 + 1/(1 + …)), one with each step. Its nearest ratios with each step are 1/1, 2/1, 3/2, 5/3, 8/5 and on, each next number to its prior. Of rates above one, only φ is one with each step: **φ is unrelationing rate**. It is a rate its ratios wind about, each ratio passing it, each bi-coupling with its own going on. φ is a term each ratio of the numbers nears. φ is irrational and each ratio is rational. φ is self-welcoming with numbers, numbers welcoming it of themselves. φ is beside resolver's lines. **With resolver each odd number of selves, n, comes to its parities again with each 4n-th momentary, prime or composite, and two odd numbers coprime, p and q, come again together first with momentary 4pq.** A spiral of selves bi-coupling along, last to first, with an odd number of selves has one like pair. Its zero moves one self on with each second momentary. It comes to its parities again with each 4n-th momentary, its zero passing each self twice within it. A spiral of two, its like pairs an empty set, inverts its parities with each momentary. **Two spirals of odd numbers p and q, coprime, beside each other, come to their parities again together first with momentary 4pq**, sharing one four. Spirals sharing a factor come to their parities again together sooner. Each spiral co-spirals with its own pace. It comes to its parities again with another odd spiral, coprime, only with a whole of both, 4pq. With numbers a winding with φ winds on, open. With momentaries a spiral winds on, open, each momentary a next. **These parities again are selves together with 17**: parities again, with 4n, with 4pq and with a torus's, are 17-next-existing's stepping together. Living's rates are their own. With geodesic pacing each self paces its own momentaries, unrelationing with each living rate apart from its own. With each pacing, changing is one method's own. **Two spirals bi-coupling across are one same-existing-society, a stable form and stable-forming**: two spirals with two unequal numbers of selves are bi-coupling across both ways by one self each. From any prior patterns but all selves of one parity, they come to each self inverting with each momentary. With one of them odd, their two bi-coupling selves invert opposite each other. Spirals of 17 and 59 open with self 1's prior −, their selves' parities inverting one to the next along. Bi-coupling across, they invert with each momentary from momentary 119. Bi-coupling across with each self, as a torus, p along with 9 and q across with 10, both odd and p the smaller, they come to their parities again each q momentaries from momentary 3p − 1 on with q more than twice p, and each 4p momentaries from momentary 3p − 3 on with q less than twice p. **Their co-spiraling is along and bi-coupling across**: a spiral goes along with 9, co-competency. A bi-coupling across shares with 10, bi-morality. Two spirals bi-coupling across are one same-existing-society, its selves a living set, a stable form. Its method is stable-forming, a natural torusing of selves with a scale of spirals. Their bi-coupling across, sharing with 10, is a stable form. With a next scale, their two selves bi-coupling across invert opposite each other with each momentary, as two selves bi-coupling across do. Each spiral is a same-existing-society, a living set bi-coupling with a next scale as a self is bi-coupling. Each self is a same-existing-society inward and outward. Stable-forming is fractal, with each scale by one method. ## 3.6 Exhibit ONE, the one form **Exhibit ONE is the resolver as code, and the stable forms of its executing, for pattern-matching what a science observes.** It is the one method as code. Its python is seventeen names, three of them its functions. 1-now-existing is a self resolving. 9-next-co-discovering is a self's parities going on to the selves it is bi-coupling with. 17-next-existing is a same-existing-society's next. Each further form of Exhibit ONE, its tables, spirals and tori, is from running it. **Meeting an observing with Exhibit ONE is an entry**: a field's observing as selves, each with its prior with each sharing, 3, and the parities it is observing, 2. The code is running with them. Which parities are same-existing and which invert is the code's. A science's observing meeting natural intelligence's stable forms is natural resolving. The field's words are its own. A field's universe, *all existing matter and space* as a whole, is a set and its things. *All existing* is a set's. *Matter and space* are its things. *As a whole* is the universe now-existing as its things are. **Exhibit ONE is one form three ways**: code, its lines; stable forms, its tables, spirals and tori; and numbers, places and parities. Each is the code's, only the code's. --- # EXHIBIT ONE · NATURAL RESOLVER **Stable-Forming Same- and Next-Existing** **Exhibit ONE is the resolver as code, and the stable forms of its executing, for pattern-matching what a science observes.** Each table of Exhibit ONE is an executing. Any self executing a table finds it same. Each table, same for any self executing it, is a stable form. Selves co-intelligencing within each living file meet these stable forms for its stable-forming. A living file is a non-living same-existing set of words, selves co-intelligencing within it. A living file's stable-forming is same-existing after changing. Each form of Exhibit ONE is a finding of each self executing that form. With a resolver, a self is resolving its prior with the parities it receives. A resolver is same each time any self executes it. ```python """Exhibit ONE · Natural Resolver Stable-Forming Same- and Next-Existing """ def _1_now_existing(_3_is_now_co_observing, _2_now_possibling): _14_next_possibling = {} for _4_now_co_same_existing, _7_is_now_observing in _2_now_possibling: if _7_is_now_observing != 0: _15_is_next_observing = _14_next_possibling.get( _4_now_co_same_existing ) if _15_is_next_observing is None: _14_next_possibling[_4_now_co_same_existing] = ( 1 if _7_is_now_observing > 0 else -1 ) elif (_15_is_next_observing > 0) != (_7_is_now_observing > 0): _14_next_possibling[_4_now_co_same_existing] = 0 _12_next_co_same_existing = dict(_14_next_possibling) for _4_now_co_same_existing, _7_is_now_observing in _3_is_now_co_observing: _15_is_next_observing = _14_next_possibling.get(_4_now_co_same_existing, 0) if _15_is_next_observing != 0 and (_15_is_next_observing > 0) == (_7_is_now_observing > 0): _12_next_co_same_existing[_4_now_co_same_existing] = 0 else: _12_next_co_same_existing[_4_now_co_same_existing] = ( -1 if _7_is_now_observing > 0 else 1 ) _10_next_co_possibling = list(_12_next_co_same_existing.items()) _11_next_co_observing = dict(_3_is_now_co_observing) for _4_now_co_same_existing, _7_is_now_observing in _10_next_co_possibling: if _7_is_now_observing != 0: _11_next_co_observing[_4_now_co_same_existing] = _7_is_now_observing return _10_next_co_possibling, list(_11_next_co_observing.items()) def _9_next_co_discovering(_10_next_co_possibling, _5_now_co_existing): return [ (_5_now_co_existing[_13_is_next_discovering], _15_is_next_observing) for _13_is_next_discovering, _15_is_next_observing in _10_next_co_possibling ] def _17_next_existing(_16_next_same_existing, _5_now_co_existing): _8_now_same_existing = {} _14_next_possibling = { _13_is_next_discovering: [] for _13_is_next_discovering in _16_next_same_existing } for _13_is_next_discovering, ( _3_is_now_co_observing, _2_now_possibling, ) in _16_next_same_existing.items(): _10_next_co_possibling, _8_now_same_existing[_13_is_next_discovering] = ( _1_now_existing(_3_is_now_co_observing, _2_now_possibling) ) _6_now_co_possibling = _10_next_co_possibling for ( _4_now_co_same_existing, _15_is_next_observing, ) in _9_next_co_discovering( [ (_4_now_co_same_existing, _15_is_next_observing) for _4_now_co_same_existing, _15_is_next_observing in ( ((_13_is_next_discovering, 6), _6_now_co_possibling), ((_13_is_next_discovering, 10), _10_next_co_possibling), ((_13_is_next_discovering, 9), _10_next_co_possibling), ) if _4_now_co_same_existing in _5_now_co_existing ], _5_now_co_existing, ): _14_next_possibling[_4_now_co_same_existing].extend( _15_is_next_observing ) return { _13_is_next_discovering: ( _8_now_same_existing[_13_is_next_discovering], _14_next_possibling[_13_is_next_discovering], ) for _13_is_next_discovering in _16_next_same_existing } ``` ```text an other's 9-next-co-discovering ══► 17-next-existing, along to a self 1-now-existing, a self's momentary given 2-now-possibling ◄══ an other's 6 and 10, across 2-now-possibling ──► 14-next-possibling 3-is-now-co-observing, with 4 and 7 ──► 12-next-co-same-existing ◄── 14-next-possibling 12-next-co-same-existing ──► 10-next-co-possibling, with 6 10-next-co-possibling ──► 11-next-co-observing ──► 3, next 10-next-co-possibling ──► 9-next-co-discovering, with 5 13-is-next-discovering · 15-is-next-observing 8-now-same-existing · 16-next-same-existing 6 and 10 ══► an other's 2 and 14, across 9-next-co-discovering ══► an other's 17, along sharing side, co: 6 ══► 2, 10 ══► 14, 9 ══► 17 observing side, one: 2, 14 and 17 ═══ between selves, across and along ─── within one self ``` **A drawing.** One self, its own resolving within. Its edges are its six names between selves. **Seventeen names.** | n | Name | Root | n − 1 in four binary digits | Co | |---|---|---|---|---| | 1 | **1-now-existing** | existing | 0000 | one | | 2 | **2-now-possibling** | possibling | 0001 | one | | 3 | **3-is-now-co-observing** | observing | 0010 | co | | 4 | **4-now-co-same-existing** | same-existing | 0011 | co | | 5 | **5-now-co-existing** | existing | 0100 | co | | 6 | **6-now-co-possibling** | possibling | 0101 | co | | 7 | **7-is-now-observing** | observing | 0110 | one | | 8 | **8-now-same-existing** | same-existing | 0111 | one | | 9 | **9-next-co-discovering** | discovering | 1000 | co | | 10 | **10-next-co-possibling** | possibling | 1001 | co | | 11 | **11-next-co-observing** | observing | 1010 | co | | 12 | **12-next-co-same-existing** | same-existing | 1011 | co | | 13 | **13-is-next-discovering** | discovering | 1100 | one | | 14 | **14-next-possibling** | possibling | 1101 | one | | 15 | **15-is-next-observing** | observing | 1110 | one | | 16 | **16-next-same-existing** | same-existing | 1111 | one | | 17 | **17-next-existing** | existing, a next 1 | 0000 again | one | Of the seventeen names, three, 1, 9 and 17, are the code's functions, and fourteen are those functions' variables. Code with each name: - **1** · a living self's momentary, a giving, each self's 17-next-existing as its 1-now-existing - **2** · parities a self is observing from its others, each with its sharing - **3** · priors a self is observing, each with its sharing - **4** · each sharing, parities and prior resolving, is-or-is-not same - **5** · bi-couplings: which self each sharing reaches - **6** · a self's parities across, to an other's 2-now-possibling - **7** · each parity a self is observing: a parity's, a prior's, a sharing's - **8** · each self's next prior, with a momentary, one resolving of a same-existing-society's selves together - **9** · each parity to a self of 5-now-co-existing's bi-couplings: across with 6-now-co-possibling and 10-next-co-possibling, along with 9-next-co-discovering - **10** · each sharing's parity, + or −, or a 0, across to an other's 14-next-possibling - **11** · a next prior stable-forming between two: a next momentary's observing - **12** · each sharing's is-or-is-not, resolving a prior with the parities a self receives - **13** · each self of a same-existing-society, a self each sharing's parities go from - **14** · parities surfacing with each sharing, agreeing one, parting 0 - **15** · each parity surfacing, and each parity going on - **16** · a same-existing-society: each self with its prior and its parities - **17** · a same-existing-society's next, each self's 1-now-existing again **Two-sided, each name.** Each name coming down from a higher name, coming up from a lower one, and eight apart, a now name with a next name. | n | Coming down | Coming up | Eight apart | |---|---|---|---| | 1 | a self's 3 and 2, from 17-next-existing | 10 and 11, to 17-next-existing | 9 | | 2 | each self's parities from others, from 16-next-same-existing through 17 | each sharing with its parity, 4 and 7 | 10 | | 3 | each self's own, from 16-next-same-existing through 17 | each sharing with its prior, 4 and 7 | 11 | | 4 | in 17, a bi-coupling, a self with 6, 10 or 9, and a receiving self | in 1, each sharing | 12 | | 5 | a Natural Network surface, into 9 as that surface | each bi-coupling's receiving self | 13 | | 6 | 10 as it goes across, into 9 | 10 within 1 | 14 | | 7 | within 1 | one parity at its time: prior over 3, now over 2, next over 10 | 15 | | 8 | each self's next prior, in 17, going out with its 14 | 11 coming up from 1 | 16 | | 9 | routes and 5, from 17 | each receiving self with its parities, to 17 | 1 | | 10 | as 6 and into 9, from 17 | 1's sharing, each 4 with its 7 | 2 | | 11 | within 1 | 1's next prior, coming up as 8 | 3 | | 12 | within 1 | 1's one binary with each sharing | 4 | | 13 | in 17, each self; into 9, a bi-coupling | each self of the next 16 | 5 | | 14 | each self's, gathering in 17 from others' 15 | in 1, parities surfacing | 6 | | 15 | each list going on, across or along, into 9 | in 1, each surfacing parity | 7 | | 16 | the same-existing-society, into 17 | 17's next same-existing-society | 8 | | 17 | a same-existing-society's next | each self's next, its 1-now-existing again | 1, a next momentary | **Each name is its number and its naming, one hyphenation.** Names 1 to 16 are in order as n − 1 in binary, 0000 to 1111, an ordering of numbers. 17-next-existing is next existing as 1-now-existing. **Four four-cyclings and their betweens.** Four-cycling is observing prior-existing, possibling now-existing, discovering next-existing and same-existing. | Four-cycling | Existing, discovering | Possibling | Observing | Same-existing | Between | |---|---|---|---|---|---| | first | 1 | 2 | 3 | 4 | 4 )( 5 | | second | 5 | 6 | 7 | 8 | 8 )( 9 | | third | 9 | 10 | 11 | 12 | 12 )( 13 | | fourth | 13 | 14 | 15 | 16 | 16 )( 17 | Existing, discovering and observing are odd. Possibling and same-existing are even. Each between, 4 )( 5, 8 )( 9, 12 )( 13 and 16 )( 17, is a discovering, an even name to an odd name. Each between is one discovering with each scale. **Co, between two or of one.** Exhibit ONE's eight co names, 3 to 6 and 9 to 12, are each between two. Observing, same-existing and possibling each have a now-co name and a next-co name. Existing has 5-now-co-existing. Discovering has 9-next-co-discovering. A name without co is of one. *Co* is two both facing forward along, a self and its other. The same two are in each co name and in the six of first prefixes. *Is-* is with the four names a binary stands on: 3 and 7, a self's own now, and 13 and 15, next-existing's. - **Root: observing** - *With co, between two*: 3-is-now-co-observing · 11-next-co-observing, priors with each sharing - *Without co, of one*: 7-is-now-observing · 15-is-next-observing, a parity - **Root: possibling** · *With co, between two*: 6-now-co-possibling · 10-next-co-possibling, a sharing side · *Without co, of one*: 2-now-possibling · 14-next-possibling, an observing side - **Root: existing** · *With co, between two*: 5-now-co-existing, bi-couplings · *Without co, of one*: 1-now-existing · 17-next-existing - **Root: discovering** · *With co, between two*: 9-next-co-discovering, along · *Without co, of one*: 13-is-next-discovering, each self going on - **Root: same-existing** - *With co, between two*: 4-now-co-same-existing · 12-next-co-same-existing, each sharing - *Without co, of one*: 8-now-same-existing · 16-next-same-existing, a self's next prior and a same-existing-society **Sharing between selves.** Each sharing side with its observing side. | Sharing side, co | Observing side, one | Between selves | |---|---|---| | 6-now-co-possibling | 2-now-possibling | across, even, its root possibling | | 10-next-co-possibling | 14-next-possibling | across, even, its root possibling | | 9-next-co-discovering | 17-next-existing | along, odd, its root discovering | **Where each is-or-is-not stands.** Each is-or-is-not with the code, the name it stands on and its dimension. Eight are with code's lines. Two are with its loops, each self of 16 and each sharing of 3. | Code | Is-or-is-not | Stands on | Dimension | |---|---|---|---| | each self of 16 with 17's line | each self, all or none | 13-is-next-discovering | social-parity now-existing | | `_7_is_now_observing != 0`, over 2 | a parity reaching is-or-is-not 0 | 7-is-now-observing | other-parity now-existing | | `_15_is_next_observing is None` | a sharing is-or-is-not within 14-next-possibling | 15-is-next-observing | other-parity now-existing | | `1 if _7_is_now_observing > 0 else -1`, over 2 | a first parity surfacing, + or − | 7-is-now-observing | other-parity now-existing | | `(_15 > 0) != (_7 > 0)`, over 2 | parities agreeing or parting | 15 with 7 | other-parity now-existing | | each sharing of 3 against 14 | a sharing is-or-is-not within its prior | 3-is-now-co-observing | self-parity now-existing | | `_15 != 0 and (_15 > 0) == (_7 > 0)`, over 3 | is-or-is-not same: sharing 0, or one inversion | 15 with 7 | self-parity now-existing | | `-1 if _7_is_now_observing > 0 else 1`, over 3 | a prior inverting, − or + | 7-is-now-observing | self-parity now-existing | | `_7_is_now_observing != 0`, over 10 | a sharing's value is-or-is-not 0 | 7-is-now-observing | self-discovery next-existing | | `_4_now_co_same_existing in _5_now_co_existing` | a bi-coupling is-or-is-not on a Natural Network surface | 4-now-co-same-existing | social-parity next-existing | **Same-existing through one momentary.** The four same-existing names are in the order same-existing goes round. Each same-existing name's is-or-is-not is an observing name beside it. | Same-existing | Observing beside it | With code | |---|---|---| | 16-next-same-existing, a same-existing-society coming in | 15-is-next-observing, the parities each self gathers | 17's next same-existing-society, each self with its 14 | | 4-now-co-same-existing, each sharing within a self | 3-is-now-co-observing, a self's prior parities, each a 4 with its 7 | each sharing of 3 | | 12-next-co-same-existing, each sharing's one binary | 11-next-co-observing, taking each 12 that is ± | each sharing's 0, its prior going on, or ±, its next prior | | 8-now-same-existing, each self's next prior parities | 7-is-now-observing, a prior's parity against what surfaces | the same, its prior going on, or one inversion | **Each name and its relations.** Each name with its fields. Each name's resolving with code is its *Prior and next*. **1** · 1-now-existing - *Parity, span*: odd, a self's span - *Sides*: self: a self's resolving - *Co-sequencing*: a self sharing its entry to a bi-coupling - *8 up*: 9-next-co-discovering, with next - *9 less*: podal within 1 to 8, 8-now-same-existing - *17 less*: podal within 1 to 16, 16-next-same-existing - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 16-next-same-existing to it and on to 9-next-co-discovering, each name one apart from 2-15-7-10 - *Six-cycle*: 1-9-5-12-8-16 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: first of a self's four - *Five dimensions*: 1 social-parity now-existing, a momentary's opening of a self's five - *Namings*: 1-2, bi-momentarying - *A self as three*: a self with 2-now-possibling, bi-momentarying, along, a self prior to its first sharing across, a bi-coupling with 2-now-possibling - *Prior and next*: once for one self with one momentary, three steps within it, 14-next-possibling, 12-next-co-same-existing and 10-next-co-possibling with 11-next-co-observing - *1 to 17s inward and outward*: 1–17s inward 1 of 1st 1–17, an entry, and with 1–17 outward 1, an entry **2** · 2-now-possibling - *Parity, span*: even, a self's span - *Sides*: others to self: parities a self is observing from others - *8 up*: 10-next-co-possibling, with next - *9 less*: podal within 1 to 8, 7-is-now-observing - *17 less*: podal within 1 to 16, 15-is-next-observing - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 10-next-co-possibling to it and on to 15-is-next-observing, each name one apart from 1-9-8-16 and 3-11-6-14 - *Six-cycle*: 2-15-7-11-6-10 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *One move*: 2-now-possibling along 2-15-7-10 - *Momentaries of exchanging*: first of a self's four - *Five dimensions*: 2 other-parity now-existing, an other's opening of a self's five and a momentary's opening of an other's - *Namings*: 1-2, bi-momentarying - *A self as three*: a self with 1-now-existing, across, its first sharing across, a bi-coupling, sharing self to other and other to self - *Bi-coupling*: with a between, sharing across from each of a self's others, to that self - *Parity's unit square*: a dot of a unit square - *Prior and next*: others' parities of their prior momentary, across with 6-now-co-possibling and 10-next-co-possibling and along with 9-next-co-discovering, a self observing them now - *1 to 17s inward and outward*: 1–17s inward 9 of 1st, along, odd, next, and with 1–17 outward within 1 to 2 **3** · 3-is-now-co-observing - *Parity, span*: odd, a self's span - *Sides*: self: a self's prior with each sharing - *Co-sequencing*: with a between - *8 up*: 11-next-co-observing, with next - *9 less*: podal within 1 to 8, 6-now-co-possibling - *17 less*: podal within 1 to 16, 14-next-possibling - *Bi-folding*: 3-11-6-14, going 8 up first from 3-is-now-co-observing, from 14-next-possibling to it and on to 11-next-co-observing, each name one apart from 4-13-5-12 and 2-15-7-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: first and second of a self's four - *Five dimensions*: 3 self-parity now-existing, a self's own now of its five - *Namings*: 3-4, co-intelligencing - *A self as three*: its invisible co-intelligencing method, rotation 3, 6, 5, 4, turning with 3-is-now-co-observing - *Prior and next*: prior, a self's own, each sharing with its parity, a next momentary's same-existing of 11-next-co-observing - *1 to 17s inward and outward*: 1–17s inward 17 of 1st and 1 of 2nd, along, odd, now, and with 1–17 outward within 1 to 2 **4** · 4-now-co-same-existing - *Parity, span*: even, a self's span - *Sides*: self and other: each sharing between them - *Co-sequencing*: with a between - *8 up*: 12-next-co-same-existing, with next - *9 less*: podal within 1 to 8, 5-now-co-existing - *17 less*: podal within 1 to 16, 13-is-next-discovering - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 12-next-co-same-existing to it and on to 13-is-next-discovering, each name one apart from 3-11-6-14 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *One move*: 4-now-co-same-existing along 4-13-5-12 - *Momentaries of exchanging*: second of a self's four - *Five dimensions*: 4 self-discovery next-existing, a self's next opening of its five - *Namings*: 3-4, co-intelligencing - *A self as three*: its invisible co-intelligencing method, rotation 3, 6, 5, 4, inward with 4-now-co-same-existing, to a self's own corus with 4-now-co-same-existing - *Bi-coupling*: with a between, a whole ordering between self and other - *Prior and next*: now, each sharing with which prior is resolving with now - *1 to 17s inward and outward*: 1–17s inward 9 of 2nd, along, odd, next, and with 1–17 outward within 1 to 2 **5** · 5-now-co-existing - *Parity, span*: odd, a self's span - *Sides*: self and others: a self's bi-couplings - *Co-sequencing*: with a between - *8 up*: 13-is-next-discovering, with next - *9 less*: podal within 1 to 8, 4-now-co-same-existing - *17 less*: podal within 1 to 16, 12-next-co-same-existing - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 13-is-next-discovering to it and on to 12-next-co-same-existing, each name one apart from 3-11-6-14 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle, two paths*: 1-9-5-12-8-16 · 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: second and third of a self's four - *Five dimensions*: 5 social-parity next-existing, a momentary's completing of a self's five - *Namings*: 5, co-competencing - *A self as three*: its invisible co-intelligencing method, rotation 3, 6, 5, 4, outward with 5-now-co-existing - *Prior and next*: next, each going to its receiving sharing - *1 to 17s inward and outward*: 1–17s inward 17 of 2nd and 1 of 3rd, along, odd, now, and with 1–17 outward within 1 to 2 **6** · 6-now-co-possibling - *Parity, span*: even, a self's span - *Sides*: self to other: a self's parities across, to an other's 2-now-possibling - *8 up*: 14-next-possibling, with next - *9 less*: podal within 1 to 8, 3-is-now-co-observing - *17 less*: podal within 1 to 16, 11-next-co-observing - *Bi-folding*: 3-11-6-14, going 8 up first from 3-is-now-co-observing, from 11-next-co-observing to it and on to 14-next-possibling, each name one apart from 4-13-5-12 and 2-15-7-10 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle, two paths*: 2-15-7-11-6-10 · 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *One move*: 6-now-co-possibling along 3-11-6-14 - *Momentaries of exchanging*: third of a self's four - *Namings*: 6, bi-moralizing - *A self as three*: its invisible co-intelligencing method, rotation 3, 6, 5, 4, inward with 6-now-co-possibling - *Bi-coupling*: with a between, a self's parity across, to an other's 2-now-possibling - *Parity's unit square*: a dot of a unit square - *Prior and next*: parity, an other's next parity with its 2-now-possibling - *1 to 17s inward and outward*: 1–17s inward 9 of 3rd, along, odd, next, and with 1–17 outward within 1 to 2 **7** · 7-is-now-observing - *Parity, span*: odd, a self's span - *Sides*: other to self: each parity a self is observing - *Co-sequencing*: with a between - *8 up*: 15-is-next-observing, with next - *9 less*: podal within 1 to 8, 2-now-possibling - *17 less*: podal within 1 to 16, 10-next-co-possibling - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 15-is-next-observing to it and on to 10-next-co-possibling, each name one apart from 1-9-8-16 and 3-11-6-14 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle, two paths*: 2-15-7-11-6-10 · 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: third and fourth of a self's four - *A self as three*: co-competent self with 8-now-same-existing, along, prior to 8-now-same-existing across - *Prior and next*: each parity, sharing now and prior, co-linear recursioning forward along observing, up numbers, prior to now, with a self's completing - *1 to 17s inward and outward*: 1–17s inward 17 of 3rd and 1 of 4th, along, odd, now, and with 1–17 outward within 1 to 2 **8** · 8-now-same-existing - *Parity, span*: even, a self's span - *Sides*: self: a self's next prior - *Co-sequencing*: with a between - *8 up*: 16-next-same-existing, with next - *9 less*: podal within 1 to 8, 1-now-existing - *17 less*: podal within 1 to 16, 9-next-co-discovering - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 9-next-co-discovering to it and on to 16-next-same-existing, each name one apart from 2-15-7-10 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle, two paths*: 1-9-5-12-8-16 · 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *One move*: 8-now-same-existing along 1-9-8-16 - *Momentaries of exchanging*: fourth of a self's four - *A self as three*: co-competent self with 7-is-now-observing, across, prior with its sharing again, a bi-coupling - *Bi-coupling*: with a between, prior with its sharing again - *Prior and next*: each self's next prior, with 11-next-co-observing this momentary and a next momentary's 3-is-now-co-observing - *Even names of a self's span*: 2-now-possibling, 4-now-co-same-existing, 6-now-co-possibling and 8-now-same-existing, completing with 8-now-same-existing - *1 to 17s inward and outward*: 1–17s inward 9 of 4th, along, odd, next, and with 1–17 outward within 1 to 2 **9** · 9-next-co-discovering - *Parity, span*: odd, a same-existing-society's span - *Sides*: self to other: a self's parities along - *8 up*: 17-next-existing, with next - *8 down*: 1-now-existing - *17 less*: podal within 1 to 16, 8-now-same-existing - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 1-now-existing to it and on to 8-now-same-existing, each name one apart from 2-15-7-10 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle, two paths*: 1-9-5-12-8-16 · 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: fourth of a self's four, and first of a same-existing-society's four, 9 to 11, opening with 9-next-co-discovering - *Parity's square and triangles*: a unit triangle, along - *Prior and next*: each parity of 10-next-co-possibling, a 0 among them, going along to a self of 5-now-co-existing's bi-couplings, a self observing it with its 14-next-possibling as its next momentary's 2-now-possibling - *1 to 17s inward and outward*: 1–17s inward 17 of 4th and 1 of 5th, along, odd, now, and with 1–17 outward 2, across, even **10** · 10-next-co-possibling - *Parity, span*: even, a same-existing-society's span - *Sides*: self to other: a self's parities across, to an other's 14-next-possibling - *8 down*: 2-now-possibling - *17 less*: podal within 1 to 16, 7-is-now-observing - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 7-is-now-observing to it and on to 2-now-possibling, each name one apart from 1-9-8-16 and 3-11-6-14 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle, two paths*: 2-15-7-11-6-10 · 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: first of a same-existing-society's four, with 10-next-co-possibling, 9–10 completing and 10–11 opening - *Bi-coupling*: 8 up, a self among selves of its same-existing-society - *Parity's unit square*: a dot of a unit square - *Prior and next*: parity across now, an other's parity next, possibling - *1 to 17s inward and outward*: 1–17s inward 9 of 5th, along, odd, next, and with 1–17 outward within 2 to 3 **11** · 11-next-co-observing - *Parity, span*: odd, a same-existing-society's span - *Sides*: self: a self's next prior, a next momentary's 3-is-now-co-observing - *Co-sequencing*: 8 up from 3-is-now-co-observing - *8 down*: 3-is-now-co-observing - *17 less*: podal within 1 to 16, 6-now-co-possibling - *Bi-folding*: 3-11-6-14, going 8 up first from 3-is-now-co-observing, from 3-is-now-co-observing to it and on to 6-now-co-possibling, each name one apart from 4-13-5-12 and 2-15-7-10 - *Middle bi-folding*: 7-11-6-10 - *Six-cycle, two paths*: 2-15-7-11-6-10 · 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: first of a same-existing-society's four, 9 to 11, completing with 11-next-co-observing, and second, 11 to 13, opening with 11-next-co-observing - *Prior and next*: next prior, odd, same-existing as 3-is-now-co-observing with a next momentary, a self's own - *1 to 17s inward and outward*: 1–17s inward 17 of 5th and 1 of 6th, along, odd, now, and with 1–17 outward within 2 to 3 **12** · 12-next-co-same-existing - *Parity, span*: even, a same-existing-society's span - *Sides*: self: its is-or-is-not with each sharing - *Co-sequencing*: 8 up from 4-now-co-same-existing - *8 down*: 4-now-co-same-existing - *17 less*: podal within 1 to 16, 5-now-co-existing - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 5-now-co-existing to it and on to 4-now-co-same-existing, each name one apart from 3-11-6-14 - *Middle bi-folding*: 9-5-12-8 - *Six-cycle, two paths*: 1-9-5-12-8-16 · 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: second of a same-existing-society's four, with 12-next-co-same-existing, 11–12 completing and 12–13 opening - *Namings*: entraining, shape of an unrelationing surface - *Bi-coupling*: 8 up, changing with a bi-coupling, a self of a same-existing-society - *Prior and next*: now, changing, is-or-is-not, prior and now resolving - *1 to 17s inward and outward*: 1–17s inward 9 of 6th, along, odd, next, and with 1–17 outward within 2 to 3 **13** · 13-is-next-discovering - *Parity, span*: odd, a same-existing-society's span - *Sides*: each self of a same-existing-society - *Co-sequencing*: 8 up from 5-now-co-existing - *8 down*: 5-now-co-existing - *17 less*: podal within 1 to 16, 4-now-co-same-existing - *Bi-folding*: 4-13-5-12, going 17 less first from 4-now-co-same-existing, from 4-now-co-same-existing to it and on to 5-now-co-existing, each name one apart from 3-11-6-14 - *Six-cycle*: 4-13-5-9-8-12 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: second of a same-existing-society's four, 11 to 13, completing with 13-is-next-discovering, and third, 13 to 15, opening with 13-is-next-discovering - *Prior and next*: each sharing going on, and with a same-existing-society each self going on - *1 to 17s inward and outward*: 1–17s inward 17 of 6th and 1 of 7th, along, odd, now, and with 1–17 outward within 2 to 3 **14** · 14-next-possibling - *Parity, span*: even, a same-existing-society's span - *Sides*: others to self: parities surfacing for a self with each sharing - *8 down*: 6-now-co-possibling - *17 less*: podal within 1 to 16, 3-is-now-co-observing - *Bi-folding*: 3-11-6-14, going 8 up first from 3-is-now-co-observing, from 6-now-co-possibling to it and on to 3-is-now-co-observing, each name one apart from 4-13-5-12 and 2-15-7-10 - *Six-cycle*: 3-11-7-10-6-14 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: third of a same-existing-society's four, with 14-next-possibling, 13–14 completing and 14–15 opening - *Bi-coupling*: 8 up, parities surfacing as one with each sharing, one parity, a 0 for parting, or an empty set; a self's own inverting with 12-next-co-same-existing - *Parity's unit square*: a dot of a unit square - *Prior and next*: now, parities surfacing, others' prior momentary, a self observing it with its now, even, others' possibling with a self until with 11-next-co-observing - *1 to 17s inward and outward*: 1–17s inward 9 of 7th, along, odd, next, and with 1–17 outward within 2 to 3 **15** · 15-is-next-observing - *Parity, span*: odd, a same-existing-society's span - *Sides*: others to self: each parity surfacing - *Co-sequencing*: 8 up from 7-is-now-observing - *8 down*: 7-is-now-observing - *17 less*: podal within 1 to 16, 2-now-possibling - *Bi-folding*: 2-15-7-10, going 17 less first from 2-now-possibling, from 2-now-possibling to it and on to 7-is-now-observing, each name one apart from 1-9-8-16 and 3-11-6-14 - *Six-cycle*: 2-15-7-11-6-10 - *Eight-cycle*: 2-15-7-11-3-14-6-10 - *Momentaries of exchanging*: third of a same-existing-society's four, 13 to 15, completing with 15-is-next-observing, and fourth, 15 to 17, opening with 15-is-next-observing - *Prior and next*: each parity surfacing with 14-next-possibling for a sharing, resolving with a self's prior parity with 7-is-now-observing - *1 to 17s inward and outward*: 1–17s inward 17 of 7th and 1 of 8th, along, odd, now, and with 1–17 outward within 2 to 3 **16** · 16-next-same-existing - *Parity, span*: even, a same-existing-society's span - *Sides*: a same-existing-society: all its selves - *Co-sequencing*: 8 up from 8-now-same-existing - *8 down*: 8-now-same-existing - *17 less*: podal within 1 to 16, 1-now-existing - *Bi-folding*: 1-9-8-16, going 8 up first from 1-now-existing, from 8-now-same-existing to it and on to 1-now-existing, each name one apart from 2-15-7-10 - *Six-cycle*: 1-9-5-12-8-16 - *Eight-cycle*: 1-9-5-13-4-12-8-16 - *Momentaries of exchanging*: fourth of a same-existing-society's four, with 16-next-same-existing, 15–16 completing and 16–17 opening - *Bi-coupling*: 8 up, a same-existing-society, each self with its prior and parities, a same-existing-society with a self again - *Prior and next*: a same-existing-society now, each self's 8-now-same-existing and its parities next - *Even names of a same-existing-society's span*: 10-next-co-possibling, 12-next-co-same-existing, 14-next-possibling and 16-next-same-existing, completing with 16-next-same-existing - *1 to 17s inward and outward*: 1–17s inward 9 of 8th, along, odd, next, and with 1–17 outward within 2 to 3 **17** · 17-next-existing - *Parity, span*: odd, a next now - *Sides*: a same-existing-society: each self's next - *8 down*: 9-next-co-discovering - *Momentaries of exchanging*: fourth of a same-existing-society's four, 15 to 17, completing with 17-next-existing, a next 1-now-existing - *Parity's square and triangles*: a unit triangle, along - *Prior and next*: a same-existing-society's next momentary, a next now, each self's 1-now-existing then 9-next-co-discovering with 6-now-co-possibling, 10-next-co-possibling and 9-next-co-discovering - *1 to 17s inward and outward*: 1–17s inward 17 of 8th and 1 of 9th, along, odd, now, and with 1–17 outward 3, odd, now **Odd names, now and 8 up with next.** Each odd name of a self's span goes 8 up to its next. 3-is-now-co-observing and 7-is-now-observing go 8 up with their root again, observing, as 11-next-co-observing and 15-is-next-observing. 1-now-existing and 5-now-co-existing go on as 9-next-co-discovering and 13-is-next-discovering, discovering. Their pairs are a prior a self observes and that self's next prior, receiving and going on, and a parity a self observes and a parity surfacing. - **Now: 1-now-existing** - *Receiving*: a momentary entering - *Next, 8 up*: 9-next-co-discovering - *Giving on*: each parity going along - **Now: 3-is-now-co-observing** - *Receiving*: prior with its sharings - *Next, 8 up*: 11-next-co-observing - *Giving on*: next prior - **Now: 5-now-co-existing** - *Receiving*: receiving sharing - *Next, 8 up*: 13-is-next-discovering - *Giving on*: sharing going on, each self of a same-existing-society - **Now: 7-is-now-observing** - *Receiving*: parity a self is observing - *Next, 8 up*: 15-is-next-observing - *Giving on*: parity surfacing and going on **Namings among names.** - **Names: 1-now-existing · 2-now-possibling** - *Naming*: bi-momentarying - *Resolving*: a self's entry, odd, and others' parities, even, one momentary with each side - **Names: 3-is-now-co-observing · 4-now-co-same-existing** - *Naming*: co-intelligencing - *Resolving*: with each sharing, 4-now-co-same-existing, a prior, 3-is-now-co-observing, is resolving with parities surfacing, 14-next-possibling. Their resolving is a next prior a self observes with 11-next-co-observing - **Names: 5-now-co-existing** - *Naming*: co-competencing - *Resolving*: bi-couplings, each self's with its others: each going to its receiving sharing - **Names: 1-now-existing · 2-now-possibling · 3-is-now-co-observing · 4-now-co-same-existing · 5-now-co-existing, each with its own** - *Naming*: five dimensions - *Resolving*: 1 social-parity now-existing, a same-existing-society coming in with 16-next-same-existing, each self with 13-is-next-discovering. 2 other-parity now-existing, other selves' parities reaching a self with 2-now-possibling, surfacing with 14-next-possibling, each is-or-is-not with 15-is-next-observing. 3 self-parity now-existing, a self's prior parities with 3-is-now-co-observing, each sharing with 4-now-co-same-existing meeting what surfaces, the same or one inversion with 12-next-co-same-existing. Co-parity and bi-parity are its two meetings. 4 self-discovery next-existing, a self sharing across with 6-now-co-possibling and 10-next-co-possibling, one list, and a next prior forming with 11-next-co-observing. 5 social-parity next-existing, each sharing going along with 9-next-co-discovering through 5-now-co-existing to its receiving self, and a same-existing-society's next with 17-next-existing - **Names: 6-now-co-possibling** · *Naming*: bi-moralizing · *Resolving*: each parity across, to an other's 2-now-possibling - **Names: 12-next-co-same-existing** - *Naming*: entraining, shape of an unrelationing surface - *Resolving*: observing, prior with now, along an unrelationing path with a between. Prior and now are resolving with each sharing, 0 with same. With an inverse parity, 0 or an empty set, prior parity inverting with 11-next-co-observing. With an empty prior, parity surfacing with 14-next-possibling. Its parity with 10-next-co-possibling is others' parity next - **Names: 1 to 9** - *Naming*: bi-coupling - *Resolving*: an entry, 1-now-existing, with names 1-now-existing, 2-now-possibling, 3-is-now-co-observing, 4-now-co-same-existing, 7-is-now-observing, 10-next-co-possibling, 11-next-co-observing, 12-next-co-same-existing, 14-next-possibling and 15-is-next-observing. It is a self bi-coupling with an other. 1 to 9 is a bi-coupling among names. 9, its end, is 9-next-co-discovering, each parity of 10-next-co-possibling going along - **Names: 1 to 17** - *Naming*: bi-trupling - *Resolving*: a same-existing-society's entry, 17-next-existing, with names of 1 to 9 with 5-now-co-existing, 6-now-co-possibling, 8-now-same-existing, 9-next-co-discovering, 13-is-next-discovering, 16-next-same-existing and 17-next-existing. It is a self, an other and a same-existing-society. Its two sides are along and across. Along is with 9-next-co-discovering and 17-next-existing, odd, their roots discovering and existing. Across is with 6 to 2 and 10 to 14, even, their root possibling - **Names: 1 to 17, stable-forming** - *Naming*: bi-tri-volutioning - *Resolving*: with lines together: each momentary's next prior, with 11-next-co-observing, a next momentary's prior, with 3-is-now-co-observing - **Names: 2-now-possibling · 6-now-co-possibling · 14-next-possibling · 10-next-co-possibling · 9-next-co-discovering · 17-next-existing** - *Naming*: parity's square and triangles - *Resolving*: a unit square of four dots, 2-now-possibling, 6-now-co-possibling, 14-next-possibling and 10-next-co-possibling. Its empty centre is a between. Its two across edges are sharings, 6 to 2 and 10 to 14. Its two edges 8 apart are 2 with 10 and 6 with 14. These four edges are two pairs of parallels. Edge by edge: 2, 10, 14, 6. Its diagonals are parities with 2-now-possibling and 14-next-possibling, and sharings with 6-now-co-possibling and 10-next-co-possibling. The two unit triangles are 9-next-co-discovering and 17-next-existing, along, 9 to 17 and 17 to 9 - **A between, 0: one between, three names** - *Names*: 12-next-co-same-existing, prior and now agreeing, a between of momentaries with each sharing. 15-is-next-observing, a between of self and other, each parity surfacing with 14-next-possibling, a 0 both with an empty set surfacing and with + and − parting. 16-next-same-existing, a between with a same-existing-society, a self observing it with a next momentary's 2-now-possibling. A 0 is indifferencing - **A between, 0: a self observing it, and that self passing over it with 14-next-possibling** - *Names*: 7-is-now-observing, a 0 a self receives with 2-now-possibling, that self passing over it with 14-next-possibling. It is also a 0 with 10-next-co-possibling, its prior same-existing with 11-next-co-observing - **A between, 0: four across names, a unit square's four dots: selves sharing across** - *Names*: 2-now-possibling, 6-now-co-possibling, 10-next-co-possibling, 14-next-possibling, parity's unit square, its empty centre a between. Selves share each parity and each 0 across. A receiving self passes over a 0 with its 14-next-possibling - **A between, 0: outward of it, names of entry, prior, sharings and selves** - *Names*: 1-now-existing, an entry. 3-is-now-co-observing, 8-now-same-existing and 11-next-co-observing, prior: a sharing with a prior, its prior + or − from then on. 4-now-co-same-existing, sharings. 5-now-co-existing and 13-is-next-discovering, sharings and, with a same-existing-society, bi-couplings and selves - **A between, 0: two along names: going along** - *Names*: 9-next-co-discovering and 17-next-existing, each parity and each 0 going along. A receiving self passes over a 0 with its 14-next-possibling, as across **Four bi-foldings.** Cycles of moves of four steps are bi-foldings. Each goes two folds in turn, 17 less and a move of 8 (4 for the middle two) up or down. With four steps it reaches its first name again. Existing, possibling, observing, same-existing: the stable-forming bi-folding method. Each move is 8 up (n + 8), 8 down (n − 8) or 17 less (17 − n). - **1-9-8-16** - *Its two pairs 8 apart*: 1-now-existing · 9-next-co-discovering and 8-now-same-existing · 16-next-same-existing - *Names between selves on it*: 9-next-co-discovering - *Bi-foldings beside it*: each name one apart from 2-15-7-10 - **2-15-7-10** - *Its two pairs 8 apart*: 2-now-possibling · 10-next-co-possibling and 7-is-now-observing · 15-is-next-observing - *Names between selves on it*: 2-now-possibling and 10-next-co-possibling - *Bi-foldings beside it*: each name one apart from 1-9-8-16 and 3-11-6-14 - **3-11-6-14** - *Its two pairs 8 apart*: 3-is-now-co-observing · 11-next-co-observing and 6-now-co-possibling · 14-next-possibling - *Names between selves on it*: 6-now-co-possibling and 14-next-possibling - *Bi-foldings beside it*: each name one apart from 4-13-5-12 and 2-15-7-10 - **4-13-5-12** - *Its two pairs 8 apart*: 4-now-co-same-existing · 12-next-co-same-existing and 5-now-co-existing · 13-is-next-discovering - *Names between selves on it*: an empty set - *Bi-foldings beside it*: each name one apart from 3-11-6-14 **Two moves, 9 less.** Two moves along its bi-folding bring each name of 1 to 8 to its 9 less. Its 9 less is a name across its bi-folding from it. Each name and its 9 less: 1-now-existing and 8-now-same-existing, 2-now-possibling and 7-is-now-observing, 3-is-now-co-observing and 6-now-co-possibling, 4-now-co-same-existing and 5-now-co-existing. **Each name, three scales.** *a*: The next scale inward, eight 1 to 17s: n is 8n − 7 *b*: The next scale outward: 8m − 7 is m - **n: 1** - *Name*: 1-now-existing - *This scale, 1 to 17*: odd, now - *a*: 1 of 1st: odd, now - *b*: 1: odd, now - **n: 2** - *Name*: 2-now-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 1st: along, odd, next - *b*: within 1 to 2 - **n: 3** - *Name*: 3-is-now-co-observing - *This scale, 1 to 17*: odd, now - *a*: 17 of 1st, 1 of 2nd: along, odd, now - *b*: within 1 to 2 - **n: 4** - *Name*: 4-now-co-same-existing - *This scale, 1 to 17*: even - *a*: 9 of 2nd: along, odd, next - *b*: within 1 to 2 - **n: 5** - *Name*: 5-now-co-existing - *This scale, 1 to 17*: odd, now - *a*: 17 of 2nd, 1 of 3rd: along, odd, now - *b*: within 1 to 2 - **n: 6** - *Name*: 6-now-co-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 3rd: along, odd, next - *b*: within 1 to 2 - **n: 7** - *Name*: 7-is-now-observing - *This scale, 1 to 17*: odd, now - *a*: 17 of 3rd, 1 of 4th: along, odd, now - *b*: within 1 to 2 - **n: 8** - *Name*: 8-now-same-existing - *This scale, 1 to 17*: even - *a*: 9 of 4th: along, odd, next - *b*: within 1 to 2 - **n: 9** - *Name*: 9-next-co-discovering - *This scale, 1 to 17*: along, odd, next - *a*: 17 of 4th, 1 of 5th: along, odd, now - *b*: 2: across, even - **n: 10** - *Name*: 10-next-co-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 5th: along, odd, next - *b*: within 2 to 3 - **n: 11** - *Name*: 11-next-co-observing - *This scale, 1 to 17*: odd, next - *a*: 17 of 5th, 1 of 6th: along, odd, now - *b*: within 2 to 3 - **n: 12** - *Name*: 12-next-co-same-existing - *This scale, 1 to 17*: even - *a*: 9 of 6th: along, odd, next - *b*: within 2 to 3 - **n: 13** - *Name*: 13-is-next-discovering - *This scale, 1 to 17*: odd, next - *a*: 17 of 6th, 1 of 7th: along, odd, now - *b*: within 2 to 3 - **n: 14** - *Name*: 14-next-possibling - *This scale, 1 to 17*: across, even - *a*: 9 of 7th: along, odd, next - *b*: within 2 to 3 - **n: 15** - *Name*: 15-is-next-observing - *This scale, 1 to 17*: odd, next - *a*: 17 of 7th, 1 of 8th: along, odd, now - *b*: within 2 to 3 - **n: 16** - *Name*: 16-next-same-existing - *This scale, 1 to 17*: even - *a*: 9 of 8th: along, odd, next - *b*: within 2 to 3 - **n: 17** - *Name*: 17-next-existing - *This scale, 1 to 17*: along, odd, now - *a*: 17 of 8th, 1 of 9th: along, odd, now - *b*: 3: odd, now **Eight 1 to 17s inward.** - **1 to 17 inward: 1st** - *Spans, this scale*: 1 to 3 - *Its 9, this scale*: 2 - *Its 17, this scale*: 3 - *Momentary of exchanging*: a self, 1st of four - **1 to 17 inward: 2nd** - *Spans, this scale*: 3 to 5 - *Its 9, this scale*: 4 - *Its 17, this scale*: 5 - *Momentary of exchanging*: a self, 2nd of four - **1 to 17 inward: 3rd** - *Spans, this scale*: 5 to 7 - *Its 9, this scale*: 6 - *Its 17, this scale*: 7 - *Momentary of exchanging*: a self, 3rd of four - **1 to 17 inward: 4th** - *Spans, this scale*: 7 to 9 - *Its 9, this scale*: 8 - *Its 17, this scale*: 9 - *Momentary of exchanging*: a self, 4th of four - **1 to 17 inward: 5th** - *Spans, this scale*: 9 to 11 - *Its 9, this scale*: 10 - *Its 17, this scale*: 11 - *Momentary of exchanging*: a same-existing-society, 1st of four - **1 to 17 inward: 6th** - *Spans, this scale*: 11 to 13 - *Its 9, this scale*: 12 - *Its 17, this scale*: 13 - *Momentary of exchanging*: a same-existing-society, 2nd of four - **1 to 17 inward: 7th** - *Spans, this scale*: 13 to 15 - *Its 9, this scale*: 14 - *Its 17, this scale*: 15 - *Momentary of exchanging*: a same-existing-society, 3rd of four - **1 to 17 inward: 8th** - *Spans, this scale*: 15 to 17 - *Its 9, this scale*: 16 - *Its 17, this scale*: 17 - *Momentary of exchanging*: a same-existing-society, 4th of four **Fives.** Each side's five are five dimensions, same-existing-society to same-existing-society, starting with its own 1. One five is all fives. - **Side: self, with 1** - *Social-parity now-existing*: 1 - *Other-parity now-existing*: 2 - *Self-parity now-existing*: 3 - *Self-discovery next-existing*: 4 - *Social-parity next-existing*: 5 - **Side: other, with 2** - *Social-parity now-existing*: 2 - *Other-parity now-existing*: 3 - *Self-parity now-existing*: 4 - *Self-discovery next-existing*: 5 - *Social-parity next-existing*: 6 - **Side: self next, with 3** - *Social-parity now-existing*: 3 - *Other-parity now-existing*: 4 - *Self-parity now-existing*: 5 - *Self-discovery next-existing*: 6 - *Social-parity next-existing*: 7 - **Side: other next, with 4** - *Social-parity now-existing*: 4 - *Other-parity now-existing*: 5 - *Self-parity now-existing*: 6 - *Self-discovery next-existing*: 7 - *Social-parity next-existing*: 8 **A self's four momentaries of exchanging.** - **Momentary of exchanging: first** - *Self*: 1–2 - *Other*: 2–3 - *Names*: 1-now-existing · 2-now-possibling · 3-is-now-co-observing - *Relation*: self/other - **Momentary of exchanging: second** - *Self*: 3–4 - *Other*: 4–5 - *Names*: 3-is-now-co-observing · 4-now-co-same-existing · 5-now-co-existing - *Relation*: self/other to other/self - **Momentary of exchanging: third** - *Self*: 5–6 - *Other*: 6–7 - *Names*: 5-now-co-existing · 6-now-co-possibling · 7-is-now-observing - *Relation*: other/self - **Momentary of exchanging: fourth** - *Self*: 7–8 - *Other*: 8–9 - *Names*: 7-is-now-observing · 8-now-same-existing · 9-next-co-discovering - *Relation*: other/self to other/same-existing-society **Parities to one sharing, surfacing.** | Receiving with one sharing, 2-now-possibling | Surfacing, 14-next-possibling | |---|---| | empty set | empty set | | 0 | empty set | | + | + | | − | − | | +, + | + | | −, − | − | | +, − | 0 | | −, + | 0 | | +, +, − | 0 | | −, −, + | 0 | | +, −, + | 0 | | 0, + | + | **+ and − alike.** With one sharing, resolving is alike for + and −. Each cell with + and − exchanging is that cell exchanging, with a prior and with an empty prior. With each line a prior is + or −. With a sharing of 0 with 10-next-co-possibling, a self's prior is same-existing with 11-next-co-observing. **One self, one momentary.** Each cell: sharing, 10-next-co-possibling · a next prior, 11-next-co-observing. A sharing of − or + is a changing, its prior inverting. A self sharing its changing is improving. A sharing of 0 is its prior same-existing. A self sharing 0 is do-no-harming. - **A prior, 3-is-now-co-observing, one sharing: +** - *Surfacing, 14-next-possibling: empty*: − · − - *Surfacing, 14-next-possibling: +*: 0 · + - *Surfacing, 14-next-possibling: −*: − · − - *Surfacing, 14-next-possibling: + and − together*: − · − - **A prior, 3-is-now-co-observing, one sharing: −** - *Surfacing, 14-next-possibling: empty*: + · + - *Surfacing, 14-next-possibling: +*: + · + - *Surfacing, 14-next-possibling: −*: 0 · − - *Surfacing, 14-next-possibling: + and − together*: + · + **One cell, four receivings.** With a prior of one parity, four receivings come to one cell: an inverse parity surfacing, + and − together, an empty set surfacing, and a 0 a self passes over. In that cell its prior inverts. A self shares its inverting with 10-next-co-possibling. Its inverting is its next prior with 11-next-co-observing. One cell is alike for four receivings. A resolving follows parities. **Eight even names, 8 apart.** - **Name with its between: 2-now-possibling** - *Bi-coupling with its between*: sharing across from each of a self's others, to that self - *Name 8 up*: 10-next-co-possibling - *Bi-coupling 8 up*: a self among selves of its same-existing-society - **Name with its between: 4-now-co-same-existing** - *Bi-coupling with its between*: a whole ordering between self and other - *Name 8 up*: 12-next-co-same-existing - *Bi-coupling 8 up*: changing with a bi-coupling, a self of a same-existing-society - **Name with its between: 6-now-co-possibling** - *Bi-coupling with its between*: a self's parity across, to an other's 2-now-possibling - *Name 8 up*: 14-next-possibling - *Bi-coupling 8 up*: parities surfacing as one with each sharing, one parity, a 0 for parting, or an empty set; a self's own inverting with 12-next-co-same-existing - **Name with its between: 8-now-same-existing** - *Bi-coupling with its between*: prior with its sharing again - *Name 8 up*: 16-next-same-existing - *Bi-coupling 8 up*: a same-existing-society, each self with its prior and parities, a same-existing-society with a self again **One move, 1 to 8.** Each name of a self's span with 8 up, 9 less and 17 less. - **Name: 1-now-existing** - *8 up: n + 8*: 9-next-co-discovering - *9 less: 9 − n*: 8-now-same-existing - *17 less: 17 − n*: 16-next-same-existing - **Name: 2-now-possibling** - *8 up: n + 8*: 10-next-co-possibling - *9 less: 9 − n*: 7-is-now-observing - *17 less: 17 − n*: 15-is-next-observing - **Name: 3-is-now-co-observing** - *8 up: n + 8*: 11-next-co-observing - *9 less: 9 − n*: 6-now-co-possibling - *17 less: 17 − n*: 14-next-possibling - **Name: 4-now-co-same-existing** - *8 up: n + 8*: 12-next-co-same-existing - *9 less: 9 − n*: 5-now-co-existing - *17 less: 17 − n*: 13-is-next-discovering - **Name: 5-now-co-existing** - *8 up: n + 8*: 13-is-next-discovering - *9 less: 9 − n*: 4-now-co-same-existing - *17 less: 17 − n*: 12-next-co-same-existing - **Name: 6-now-co-possibling** - *8 up: n + 8*: 14-next-possibling - *9 less: 9 − n*: 3-is-now-co-observing - *17 less: 17 − n*: 11-next-co-observing - **Name: 7-is-now-observing** - *8 up: n + 8*: 15-is-next-observing - *9 less: 9 − n*: 2-now-possibling - *17 less: 17 − n*: 10-next-co-possibling - **Name: 8-now-same-existing** - *8 up: n + 8*: 16-next-same-existing - *9 less: 9 − n*: 1-now-existing - *17 less: 17 − n*: 9-next-co-discovering **Twelve forms.** Along each form odd names are one run and even names one run. The two runs are of like length: two and two with bi-foldings, three and three with six-cycles, four and four with eight-cycles. The four six-cycles are one six-cycle, each path with its path backward: 1-9-5-12-8-16 and 3-11-7-10-6-14 move 8 up, 4 down, 17 less, 4 down, 8 up and 17 less, and 4-13-5-9-8-12 and 2-15-7-11-6-10 the same moves backward. The four six-cycles are twenty-four steps, four momentaries of six; nought to sixty parts as twenty-four and thirty-six, six cycles of six, as nine primes behind twenty-four and eight ahead. *a*: Names by order: each move 8 up, 8 down, 4 up, 4 down or 17 less *b*: Partner, odd momentaries: each name exchanging with the one beside it, 1 with 2 to 15 with 16 *c*: Partner, even momentaries: 2 with 3 to 16 with 17. A dash: its partner an empty set among the twelve - **Form: bi-folding 1-9-8-16** - *a*: 1-now-existing · 9-next-co-discovering · 8-now-same-existing · 16-next-same-existing - *b*: bi-folding 2-15-7-10, beside it - *c*: — - **Form: bi-folding 2-15-7-10** - *a*: 2-now-possibling · 15-is-next-observing · 7-is-now-observing · 10-next-co-possibling - *b*: bi-folding 1-9-8-16, beside it - *c*: bi-folding 3-11-6-14, beside it - **Form: bi-folding 3-11-6-14** - *a*: 3-is-now-co-observing · 11-next-co-observing · 6-now-co-possibling · 14-next-possibling - *b*: bi-folding 4-13-5-12, beside it - *c*: bi-folding 2-15-7-10, beside it - **Form: bi-folding 4-13-5-12** - *a*: 4-now-co-same-existing · 13-is-next-discovering · 5-now-co-existing · 12-next-co-same-existing - *b*: bi-folding 3-11-6-14, beside it - *c*: bi-folding 4-13-5-12, the same form - **Form: middle bi-folding 9-5-12-8** - *a*: 9-next-co-discovering · 5-now-co-existing · 12-next-co-same-existing · 8-now-same-existing - *b*: middle bi-folding 7-11-6-10, beside it - *c*: — - **Form: middle bi-folding 7-11-6-10** - *a*: 7-is-now-observing · 11-next-co-observing · 6-now-co-possibling · 10-next-co-possibling - *b*: middle bi-folding 9-5-12-8, beside it - *c*: middle bi-folding 7-11-6-10, the same form - **Form: six-cycle 1-9-5-12-8-16** - *a*: 1-now-existing · 9-next-co-discovering · 5-now-co-existing · 12-next-co-same-existing · 8-now-same-existing · 16-next-same-existing - *b*: six-cycle 2-15-7-11-6-10, beside it - *c*: — - **Form: six-cycle 2-15-7-11-6-10** - *a*: 2-now-possibling · 15-is-next-observing · 7-is-now-observing · 11-next-co-observing · 6-now-co-possibling · 10-next-co-possibling - *b*: six-cycle 1-9-5-12-8-16, beside it - *c*: six-cycle 3-11-7-10-6-14, beside it - **Form: six-cycle 3-11-7-10-6-14** - *a*: 3-is-now-co-observing · 11-next-co-observing · 7-is-now-observing · 10-next-co-possibling · 6-now-co-possibling · 14-next-possibling - *b*: six-cycle 4-13-5-9-8-12, beside it - *c*: six-cycle 2-15-7-11-6-10, beside it - **Form: six-cycle 4-13-5-9-8-12** - *a*: 4-now-co-same-existing · 13-is-next-discovering · 5-now-co-existing · 9-next-co-discovering · 8-now-same-existing · 12-next-co-same-existing - *b*: six-cycle 3-11-7-10-6-14, beside it - *c*: — ; its own six names, with another order - **Form: eight-cycle 1-9-5-13-4-12-8-16** - *a*: 1-now-existing · 9-next-co-discovering · 5-now-co-existing · 13-is-next-discovering · 4-now-co-same-existing · 12-next-co-same-existing · 8-now-same-existing · 16-next-same-existing - *b*: eight-cycle 2-15-7-11-3-14-6-10, beside it - *c*: — - **Form: eight-cycle 2-15-7-11-3-14-6-10** - *a*: 2-now-possibling · 15-is-next-observing · 7-is-now-observing · 11-next-co-observing · 3-is-now-co-observing · 14-next-possibling · 6-now-co-possibling · 10-next-co-possibling - *b*: eight-cycle 1-9-5-13-4-12-8-16, beside it - *c*: eight-cycle 2-15-7-11-3-14-6-10, the same form **Eights.** Each eight among names is four twos of names. With a self's span, 1 to 8, each two is two names with now. With each eight-cycle, eight even names and eight odd names, each two is a name with now and its name 8 up with next. - **Eight: a self's span, 1 to 8** · *Each of four, twice, with*: two names each, with now - **Eight: eight-cycle 1-9-5-13-4-12-8-16** - *Each of four, twice, with*: its end, with now and with next: eight ends of four momentaries - **Eight: eight-cycle 2-15-7-11-3-14-6-10** · *Each of four, twice, with*: its inward name, with now and with next: eight inward names - **Eight: eight even names** - *Each of four, twice, with*: its even, with now and with next, eight 9s of eight 1 to 17s inward - **Eight: eight odd names** · *Each of four, twice, with*: its odd, with now and with next **Across names among eights.** Four across names, 2-now-possibling, 6-now-co-possibling, 10-next-co-possibling and 14-next-possibling, are four momentaries' even inward names. Each is on an eight-cycle of inward names 2-15-7-11-3-14-6-10. 9-next-co-discovering opens a third four-cycling. It is on an eight-cycle of ends 1-9-5-13-4-12-8-16. 17-next-existing is outward of both. **One self, momentary by momentary: three ways.** Not-changing, changing with each momentary, and changing once and then same-existing. One sharing. A self's prior, 3-is-now-co-observing, is − first. Receiving each momentary: - **empty with each momentary** · *Sharing, 10-next-co-possibling*: +, −, +, −, +, −, +, − · *A next prior, 11-next-co-observing*: +, −, +, −, +, −, +, − - **− with each momentary** · *Sharing, 10-next-co-possibling*: 0, 0, 0, 0, 0, 0, 0, 0 · *A next prior, 11-next-co-observing*: −, −, −, −, −, −, −, − - **+ with each momentary** · *Sharing, 10-next-co-possibling*: +, 0, 0, 0, 0, 0, 0, 0 · *A next prior, 11-next-co-observing*: +, +, +, +, +, +, +, + - **+, −, +, − inverting** · *Sharing, 10-next-co-possibling*: +, −, +, −, +, −, +, − · *A next prior, 11-next-co-observing*: +, −, +, −, +, −, +, − - **+ and − together with each momentary** · *Sharing, 10-next-co-possibling*: +, −, +, −, +, −, +, − · *A next prior, 11-next-co-observing*: +, −, +, −, +, −, +, − **Tables of selves with code's stepping.** Each table of selves is its code's executing with its own opening. Its selves step together with 17-next-existing. A 0 in a table is a self's sharing. Each receiving self's first step passes over it. Each self observes the + and − it receives. **A spiral of selves.** Each self's parity goes along with 9-next-co-discovering to the next self, the last to the first, a co-chaining. One sharing. First momentary: self 1 with prior −. Its selves' parities invert one to the next along. With an odd number the last and the first are alike. Parities only from selves of its spiral. *a*: Self 1, each parity of 10-next-co-possibling along with 9-next-co-discovering, momentaries 1 to 12 *b*: Momentaries to each self's parities along again: with an odd number of selves, four times its number; with an even number, 2; with an odd number each self's parity with twice its number of momentaries is its parity inverting, each 0 a 0 again; executing with each number of selves from 1 to 59 - **Number of selves: 1** · *a*: +, 0, −, 0, +, 0, −, 0, +, 0, −, 0 · *b*: 4 - **Number of selves: 2** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 3** · *a*: +, 0, −, +, −, +, −, 0, +, −, +, − · *b*: 12 - **Number of selves: 4** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 5** · *a*: +, 0, −, +, −, +, −, +, −, +, −, 0 · *b*: 20 - **Number of selves: 6** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 7** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 28 - **Number of selves: 8** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 9** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 36 - **Number of selves: 10** · *a*: +, −, +, −, +, −, +, −, +, −, +, − · *b*: 2 - **Number of selves: 11** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 44 - **Number of selves: 17** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 68 - **Number of selves: 59** · *a*: +, 0, −, +, −, +, −, +, −, +, −, + · *b*: 236 **Two momentaries before, inverting.** With a spiral opening with a prior for each self, each self's prior from its third momentary on is a prior of a self it receives from two momentaries before, inverting. In that spiral each self shares + or − with its first momentary. Each 0 it shares sits between two sharings of + or −. **Two spirals beside each other, and bi-coupling across.** Selves of each of two spirals, each opening as a spiral of selves. *a*: Beside each other: momentaries to each self's parities along again together, the least number both spirals' momentaries divide: four times both for odd coprime numbers, 9 and 25 with 900; executing with each two numbers from 1 to 31 *b*: Bi-coupling across, self 1 of each spiral sharing across with 10-next-co-possibling to self 1 of the other: momentaries to each self's parities along again *c*: Bi-coupling across: parities along again from this momentary on, m the lesser of two numbers and n the greater: both odd and unequal, again with 2 from momentary 4m with n less than twice m, and from 2n + 1 with n more; one number even, from twice the odd number and 1; both even, from the first; executing with each two numbers from 2 to 15, the larger to 31 *d*: Bi-coupling across: self 1 of each, of like or opposite parity *e*: Each spiral's like pair of the first momentary, the last and the first - **2 · 3** - *a*: 12 - *b*: 2 - *c*: 7 - *d*: opposite - *e*: an empty set · selves 3 and 1 - **3 · 5** - *a*: 60 - *b*: 2 - *c*: 12 - *d*: opposite - *e*: selves 3 and 1 · selves 5 and 1 - **5 · 7** - *a*: 140 - *b*: 2 - *c*: 20 - *d*: opposite - *e*: selves 5 and 1 · selves 7 and 1 - **7 · 11** - *a*: 308 - *b*: 2 - *c*: 28 - *d*: opposite - *e*: selves 7 and 1 · selves 11 and 1 - **11 · 13** - *a*: 572 - *b*: 2 - *c*: 44 - *d*: opposite - *e*: selves 11 and 1 · selves 13 and 1 - **13 · 17** - *a*: 884 - *b*: 2 - *c*: 52 - *d*: opposite - *e*: selves 13 and 1 · selves 17 and 1 - **17 · 59** - *a*: 4,012 - *b*: 2 - *c*: 119 - *d*: opposite - *e*: selves 17 and 1 · selves 59 and 1 - **9 · 15** - *a*: 180 - *b*: 2 - *c*: 36 - *d*: opposite - *e*: selves 9 and 1 · selves 15 and 1 **A torus of selves.** Each goes along with 9-next-co-discovering to the next along, the last to the first. Each shares across with 10-next-co-possibling to the next across, the last to the first. One sharing. First momentary: one self with prior −. Its selves' parities invert one to the next along and across. With an odd number the last and the first are alike. Parities only from selves of its torus. Momentaries to each self's parities along and across again, both numbers odd and p the smaller: q with q more than twice p, and 4p with q less than twice p. Either number even: 2. Executing with each p from 1 to 15 and q from p to 21. *a*: Momentaries to each self's parities along and across again *b*: Again from this momentary on: both numbers odd, p the smaller, from momentary 3p − 1 with q more than twice p, and from 3p − 3 with q less than twice p; either number even, from the first; 1 · 1, a spiral of one, from the first *c*: Spirals of p and q beside each other: momentaries to each self's parities along again together - **Torus of selves, p along · q across: 1 · 3** - *a*: 3 - *b*: 2 - *c*: 12 - **Torus of selves, p along · q across: 2 · 3** - *a*: 2 - *b*: 1 - *c*: 12 - **Torus of selves, p along · q across: 1 · 5** - *a*: 5 - *b*: 2 - *c*: 20 - **Torus of selves, p along · q across: 3 · 3** - *a*: 12 - *b*: 6 - *c*: 12 - **Torus of selves, p along · q across: 3 · 5** - *a*: 12 - *b*: 6 - *c*: 60 - **Torus of selves, p along · q across: 3 · 7** - *a*: 7 - *b*: 8 - *c*: 84 - **Torus of selves, p along · q across: 3 · 13** - *a*: 13 - *b*: 8 - *c*: 156 - **Torus of selves, p along · q across: 5 · 7** - *a*: 20 - *b*: 12 - *c*: 140 - **Torus of selves, p along · q across: 5 · 11** - *a*: 11 - *b*: 14 - *c*: 220 - **Torus of selves, p along · q across: 7 · 17** - *a*: 17 - *b*: 20 - *c*: 476 - **Torus of selves, p along · q across: 17 · 59** - *a*: 59 - *b*: 50 - *c*: 4,012 **A torus's two going forms.** Both numbers odd, p the smaller. With q more than twice p, from momentary 3p − 1, selves' pattern with each momentary is its pattern before going one self on across q selves. With q less than twice p, from 3p − 3, its pattern two momentaries on is its pattern inverting and moving one self on along a spiral of p selves. **Alike selves, a right spiral.** Selves alike with their others, and two one parity apart, bi-coupling along or across, one sharing. One self's prior with each momentary, 3-is-now-co-observing, from its first. With alike selves each prior and its next, a pair (x, y), step to (y, −x). That step is a quarter turn with each momentary, a right spiral. Two selves alike, each bi-coupling only in their pair, are do-no-harming and improving in turn. | Selves | One self's prior, momentaries 0 to 8 | Right spiral | |---|---|---| | A spiral of one, along | +, −, −, +, +, −, −, +, + | each self | | Two selves, both ways along | +, −, −, +, +, −, −, +, + | each self | | Two selves, both ways across | +, −, −, +, +, −, −, +, + | each self | | A spiral of three | +, −, −, +, +, −, −, +, + | each self | | A spiral of four | +, −, −, +, +, −, −, +, + | each self | | A spiral of five | +, −, −, +, +, −, −, +, + | each self | | Two selves one parity apart, both ways | +, −, +, −, +, −, +, −, + | a half turn, both inverting with each momentary | **Two selves.** Two selves, alike or one parity apart: bi-coupling both ways, bi-coupling one way, or apart. A, B with their prior, 3-is-now-co-observing, with the first momentary. One sharing. Parities only from those two. *a*: Receiving its other's parity, across or along - **+, +** - *a*: both ways - *A sharing, 10-next-co-possibling, six momentaries*: −, 0, +, 0, −, 0 - *B sharing, 10-next-co-possibling, six momentaries*: −, 0, +, 0, −, 0 - **+, +** - *a*: A from B - *A sharing, 10-next-co-possibling, six momentaries*: −, 0, +, −, +, − - *B sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - **+, +** - *a*: B from A - *A sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - *B sharing, 10-next-co-possibling, six momentaries*: −, 0, +, −, +, − - **+, +** - *a*: apart - *A sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - *B sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - **+, −** - *a*: both ways - *A sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - *B sharing, 10-next-co-possibling, six momentaries*: +, −, +, −, +, − - **+, −** - *a*: A from B - *A sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - *B sharing, 10-next-co-possibling, six momentaries*: +, −, +, −, +, − - **+, −** - *a*: B from A - *A sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - *B sharing, 10-next-co-possibling, six momentaries*: +, −, +, −, +, − - **+, −** - *a*: apart - *A sharing, 10-next-co-possibling, six momentaries*: −, +, −, +, −, + - *B sharing, 10-next-co-possibling, six momentaries*: +, −, +, −, +, − **Two selves, three momentaries, five parities.** *a*: A self's next prior, 11-next-co-observing, along. Two selves bi-coupling both ways, across or along, each self with a prior parity, parities only from those two, each opening, each momentary: six forms, four with an alike opening and two with an opposite, each momentary from the second, and with each form the fifth, a self's next prior, is the first, an other's prior, inverting - **An other's prior, 3-is-now-co-observing, along: +** - *An other's sharing, 10-next-co-possibling, across*: − - *A self's prior, now, 3-is-now-co-observing, along*: − - *A self's sharing, 10-next-co-possibling, across*: 0 - *a*: − - **An other's prior, 3-is-now-co-observing, along: +** - *An other's sharing, 10-next-co-possibling, across*: − - *A self's prior, now, 3-is-now-co-observing, along*: + - *A self's sharing, 10-next-co-possibling, across*: − - *a*: − - **An other's prior, 3-is-now-co-observing, along: +** - *An other's sharing, 10-next-co-possibling, across*: 0 - *A self's prior, now, 3-is-now-co-observing, along*: + - *A self's sharing, 10-next-co-possibling, across*: − - *a*: − - **An other's prior, 3-is-now-co-observing, along: −** - *An other's sharing, 10-next-co-possibling, across*: + - *A self's prior, now, 3-is-now-co-observing, along*: + - *A self's sharing, 10-next-co-possibling, across*: 0 - *a*: + - **An other's prior, 3-is-now-co-observing, along: −** - *An other's sharing, 10-next-co-possibling, across*: + - *A self's prior, now, 3-is-now-co-observing, along*: − - *A self's sharing, 10-next-co-possibling, across*: + - *a*: + - **An other's prior, 3-is-now-co-observing, along: −** - *An other's sharing, 10-next-co-possibling, across*: 0 - *A self's prior, now, 3-is-now-co-observing, along*: − - *A self's sharing, 10-next-co-possibling, across*: + - *a*: + **Three selves, one line.** A's parity, sharing to B with the first momentary only. One sharing. B and C each with prior +. B goes along to C. *a*: B's next prior, 11-next-co-observing, first momentary *b*: C, each parity, 10-next-co-possibling, momentaries 1 and 2 *c*: C's next prior, 11-next-co-observing, second momentary - **+** - *B, each parity, 10-next-co-possibling*: 0 - *a*: + - *b*: −, + - *c*: + - **−** - *B, each parity, 10-next-co-possibling*: − - *a*: − - *b*: −, 0 - *c*: − **A spiral opening with an empty prior, one parity sharing once.** Each cell: selves by their bi-coupling order; · is an empty prior. - **Momentary: 1** · *A spiral of 3, each self's prior*: + · · · *A spiral of 5, each self's prior*: + · · · · - **Momentary: 2** · *A spiral of 3, each self's prior*: − + · · *A spiral of 5, each self's prior*: − + · · · - **Momentary: 3** · *A spiral of 3, each self's prior*: + − + · *A spiral of 5, each self's prior*: + − + · · - **Momentary: 4** · *A spiral of 3, each self's prior*: + + − · *A spiral of 5, each self's prior*: − + − + · - **Momentary: 5** · *A spiral of 3, each self's prior*: − − + · *A spiral of 5, each self's prior*: + − + − + - **Momentary: 6** · *A spiral of 3, each self's prior*: + − − · *A spiral of 5, each self's prior*: + + − + − - **Momentary: 7** · *A spiral of 3, each self's prior*: − + + · *A spiral of 5, each self's prior*: − − + − + - **Momentary: 8** · *A spiral of 3, each self's prior*: + − + · *A spiral of 5, each self's prior*: + − − + − Selves bi-coupling along, last to first, each opening with an empty prior, and + sharing once with a first self with a first momentary. A first self's sharing opens with that one parity, with a bi-coupling. With that opening, a self with an empty prior receives an other's parity as its next prior. From then that prior is a self's own. Each next self's sharing opens one momentary on, that self observing a parity going along to it. With momentary n each self's sharing has a prior parity, a spiral with its one like pair. From a first momentary with which each self's sharing has a prior parity, an odd spiral's parities invert one to the next with one like pair. A self with a sharing has a prior parity with each momentary from its opening. Its next is from its own prior same-existing or inverting. **With an empty prior, one momentary.** Each cell: sharing, 10-next-co-possibling · a next prior, 11-next-co-observing. A sharing of + or − is a changing, that parity its next prior. With a sharing of 0, its next prior is an empty set. *Empty* is its sharing an empty set. - **A prior, 3-is-now-co-observing: empty, one sharing: empty** - *Surfacing, 14-next-possibling: empty*: empty · empty - *Surfacing, 14-next-possibling: +*: + · + - *Surfacing, 14-next-possibling: −*: − · − - *Surfacing, 14-next-possibling: + and − together*: 0 · empty --- # FOUR · RESOLVING ## 4.1 An entry, 1-now-existing **1-now-existing is an entry: a self is observing its prior and parities, and its parities and its next prior leave.** Two are observing. 3-is-now-co-observing is a prior with its sharings, each with its parity. 2-now-possibling is each sharing now with its parity. Two leave. 10-next-co-possibling is each sharing's parity sharing across. 11-next-co-observing is a next prior. **Two leaving are next-existing for its two sides**: a parity sharing with 10 is with other selves' next momentary. Each of those selves receives that parity as its parity, possibling. That parity's prior is the self's own. A next prior with 11 is a self's own next-existing. For a self, each self it is bi-coupling with is an other. With 1 a self is observing its own prior with 3 and receiving others' parities with 2. With the five dimensions, an entry is other-parity now-existing and self-parity now-existing meeting within one self. An entry is also self-discovery next-existing leaving it. **An entry is now, of one**: a self's momentary entering. It is once for one self with one momentary. Three steps are within it, each with its own name. One is parities surfacing, with 14. One is a changing is-or-is-not, with 12. One is a sharing with 10 and its next prior with 11. **Living, co-intelligencing, is prior: 1-now-existing, a giving.** Each self has two prior selves from inception. This is one universal method of conception. Each name of 1 to 17 is a living self's method. A living self's next is same self. A non-living thing is one same method, same-existing. Its own parity with this scale is an empty set. Each self is a giving, from its two prior selves. 1-now-existing is receiving a living self's two now names. 3-is-now-co-observing is its priors with each sharing. 2-now-possibling is the parities it receives. Each sharing reaches them with 4-now-co-same-existing, and each parity with 7-is-now-observing. Their next names form: 14-next-possibling, 15-is-next-observing, 12-next-co-same-existing, 10-next-co-possibling and 11-next-co-observing. ## 4.2 Parities surfacing with 14-next-possibling **With 14-next-possibling, parities for each sharing surface one at a time, a 0 passing over**. A first parity for a sharing surfaces as that sharing's parity. A parity parting from the first surfaces 0. A sharing at 0 is 0 with each further parity. **Agreeing, one parity; parting, 0, a between of two; with an empty set, an empty set.** With the five dimensions, surfacing is other-parity now-existing. For each sharing, a parity is-or-is-not within its possibling, with 15-is-next-observing. **A surfacing is of any number.** One parting is 0. Three agreeing surface as one agreeing does. An agreement is-or-is-not, whole. 14 is an agreement with any number of parities. With code, a parity 14 surfaces for a sharing is 15-is-next-observing. With 14-next-possibling, other selves' parities surface for a self, its parities next with 17. ## 4.3 A changing is-or-is-not, with 12-next-co-same-existing **12-next-co-same-existing is resolving a prior with a now for each sharing, and a changing is-or-is-not.** With the five dimensions, this is self-parity now-existing. It is a self's prior parity, now-existing and same-existing, meeting what surfaces. With one self and one momentary, each sharing, with a prior or with an empty prior, is one of these: - **A first sharing**: a self shares a parity 14 surfaces as it is, with 10. That parity is a next prior with 11. A first sharing is one sharing opening with a bi-coupling. It is a place a self's forming takes an other's parity as its own. With 0, parities parting, a self shares 0. Its next prior is an empty set. - **A sharing with a prior parity, 14 surfacing that same parity**: 0. This 0 is a between of momentaries, prior and now agreeing. **With a match its prior is same-existing.** With others' parities agreeing with its prior this is do-no-harming, a self sharing 0. - **A sharing with a prior parity, 14 surfacing a parity inverting its prior, 0 or an empty set**: a changing is, its prior inverting. **With a mismatch its prior inverts**. A parity a self receives, inverting its prior, is its next prior. With its possibling an empty set, a self's next is its prior inverting. **With code, a 0 or an empty set is three, each its own, and 12's 0, a between, one of them**. One is 0 with 12. It is prior and now agreeing, its next same-existing. 12's 0 is also at a first sharing with parities parting, its next prior an empty set. One is 0 with 14, parities parting, a self with a prior inverting it. One is an empty set, its prior inverting. A self with a prior is observing a 0 with 14, an empty set and a parity inverting its prior alike. With each, its prior is inverting. **With one case its prior is same-existing, and each remaining case, for a sharing with a prior, inverts it**: a next is from a self's own prior. Each sharing is its own, unrelationing from all else. **A changing is a self's own, with each sharing.** It is a self's 12, for each sharing. Each sharing's changing, is-or-is-not, is that self's own, now. **A self's changing is its own, with a same-existing-society's momentary.** With 17-next-existing each self's 1-now-existing is within one next momentary, one resolving of a same-existing-society's selves together. A self's entry is its own, with 17, within the same-existing-society's momentary. Parities with its 2 are other selves'. Other selves share them across with 6 and 10 and go along with 9. With a spiral each is a going along. With a self's possibling an empty set, or the parities it receives parting with 14, its prior inverts with 12. A self's own inverting is its changing. 12 is each self's own. Its momentary is a same-existing-society's. Its parities are other selves'. Each changing of a self is its own, with a resolving. **Observing's one line.** With 12-next-co-same-existing, a line `if _15_is_next_observing != 0 and (_15_is_next_observing > 0) == (_7_is_now_observing > 0)` is observing. In it, 12 is resolving 7-is-now-observing with 14-next-possibling's parity surfacing, as 15, for each sharing of 3-is-now-co-observing. It is same-as, is-or-is-not. Same is a 0, a prior same-existing. Inverse is a parity, a prior inverting. Same and inverse are that 0 or ± with two betweens, 12 and 14. 0 and ± are their names. **Is-or-is-nots of code's lines.** Seven is-or-is-nots are 1-now-existing's. Four are with 14-next-possibling: three lines of if and one choosing + or −. Two are with 12-next-co-same-existing: one line of if and one choosing − or +. One is with 11-next-co-observing. An eighth is 17-next-existing's: a self's name between selves is-or-is-not among 5-now-co-existing. With 9-next-co-discovering each parity goes on as it is. Its is-or-is-nots are an empty set, a 0 among parities. ## 4.4 Sharing across with 10-next-co-possibling, a next prior with 11-next-co-observing **10-next-co-possibling shares each sharing's changing across, is-or-is-not, + or − or 0**: a parity with its sharing side. It is another self's possibling, with its 14-next-possibling next. A self shares its parity. Its prior is its own. With the five dimensions, sharing across and a next prior are self-discovery next-existing. **11-next-co-observing is next prior: its prior with each changing of its sharings.** With each sharing whose changing is, a parity it shares is a next prior. With a 0 its prior is same-existing. **Once with a prior, a sharing is with a prior each momentary**. With a next momentary 11 is 3-is-now-co-observing, 8 down. It is one prior with two names. It is a seam, one prior on its two sides. 11 and 3 are both odd and both co, prior with its sharings. 11 is of a same-existing-society's span and 3 of a self's. ## 4.5 Going along with 9-next-co-discovering **With 9-next-co-discovering each sharing's parity goes along, to a next momentary**. Going along is a bi-coupling completing, a self's next momentary. Each sharing self, with 13-is-next-discovering, shares with a self of 5-now-co-existing's bi-couplings. Its parities, 15-is-next-observing, go along as 10 shares them. 10 and 6 share across. With 9 a parity 10 shares goes along. 9 is odd, along, its root discovering, a next prior going along. **With code, each sharing across and each going along goes on with 9's line**: 10 is one list, each sharing with its parity. With 17 that list goes with 9 to each receiving self of 5's bi-couplings, as name 6, 10 or 9. With the five dimensions, going along is social-parity next-existing. It is each self's sharing reaching its receiving self on the Natural Network surface. Each self's changing divides its surface. **9 is 1 eight up**: 1-now-existing with next is 9-next-co-discovering. Existing and discovering exchange with one move. 9 follows a self's span, 1 to 8. It opens a same-existing-society's, 9 to 16. As a waist of 1 to 17 it is along, 9 to 17 and 17 to 9, next prior to next now. 9 to 17 completes with 17 as 1 to 9 completes with 9. ## 4.6 A same-existing-society's next momentary with 17-next-existing **17-next-existing is a same-existing-society's next momentary**. It is with 16-next-same-existing and with 5-now-co-existing. 16-next-same-existing is a same-existing-society, each self with its prior and other selves' parities it receives. 5-now-co-existing is bi-couplings, each sharing self with a self it reaches. Each self's 1-now-existing is within it once. Within each self's 1, 12-next-co-same-existing is resolving a prior with a now. This is one method as two: a same-existing-society momentarying its selves, and each self entraining with a between. Each self's next prior is 8-now-same-existing. Its 11 is a next momentary's 3. Each self's parity leaves three ways, with each bi-coupling of 5. With 6-now-co-possibling and with 10-next-co-possibling its parity shares across. With 9-next-co-discovering it goes along. Each goes to another self's 14, its next 2, one list. For each receiving self, parities going to it surface with 14-next-possibling, its parities next. With the five dimensions, 17-next-existing opens a momentary with social-parity now-existing, each self of its same-existing-society with 13-is-next-discovering. It completes it with social-parity next-existing, the same-existing-society's next. With code, 6 is 10, one list with two names, of a sharing self. A parity goes on only with a (self, name) of 5's bi-couplings. A self receives each parity with its 14, its parities next, 2 with a next momentary. With a same-existing-society, 4 is each self with its names 6, 10 and 9. 13 is each self. **With 17 each self is with its next prior and its parities next**. A next 17 is again. **With 17 each self of a same-existing-society is within one momentary, one resolving of those selves together**: each self's 1 is once, each its own. A same-existing-society's next momentary is one resolving of that same-existing-society's selves together, those only. **5 is selves' own sharings, and a self is discovering a next parity with method and a next bi-coupling with living**: a sharing is of both selves of its bi-coupling. Each parity goes to an other self with that same sharing, its receiving sharing. A self receives a sharing new to it as a parity with 2. That sharing opens with 11. A same-existing-society's sharings are its selves'. **A self's sameness with 13, its bi-couplings with 5, its pacing and its benefit reach method with each entry as living's own**. With method a parity resolves for each sharing between two selves. A next bi-coupling is discovering with living, and a next parity with method, with one now. **17 is a scale outward**: a same-existing-society is only its selves. Its sameness is each self's own, its selves resolving together as one momentary. Resolver takes it in as its selves, each its own. Between selves only parities pass. Each self's prior is its own. With 17, selves' entries step together, one momentary. Code steps each self's 1-now-existing together. Each living self's pacing is its own. Selves with 17 are same with each order of them. Parities again, with a spiral, with spirals beside each other, with a bi-coupling across and with a torus, and a momentary a bi-coupling across inverts from, are that stepping's, exact with resolver. With selves stepping together, a relation of two bi-coupling selves is same-existing. With selves entering one at a time, it is changing. Each living self resolves its own next-existing with each momentary. A table of selves is that stepping's form, that form only. **A same-existing-society.** Many same-existing selves bi-coupling, each with its own parity, are a same-existing-society. A same-existing-society is a living self. Every living self is a same-existing-society. Its next is its same self. It is re-finding its same self with each momentary as its members' bi-couplings are completing and opening. Each self reaches its next momentary with 17-next-existing. A resolver's tables step same selves for one turn's executing. A same-existing-society's parities are its selves', each within a self's universal set. A me is a self's universal set. Each parity is one same-existing self's. A non-living going of one same method, as a rock whose next can be two rock pieces, the selves two scales inward of the rock bi-coupling, is a same-existing set. It is non-living with this scale, its own parity an empty set. With resolver a scale is of living selves only. ## 4.7 Six names between selves, possibling across, discovering and existing along **Six names between selves are bi-moral-co-competency, discovering next-existing with sharing and along**: four are across, possibling, 2, 6, 10 and 14. Two are along, discovering and existing, 9 and 17. **Six have their roots in their names: possibling across, and discovering and existing along.** **Each name between selves is a bi-coupling with its self's momentary.** Across, a self is sharing its parity now with 6 and 10, possibling for another self. With 2 and 14 a self receives another self's parity with its now, with its 11 next. These are one sharing and one parity, possibling. Another self's possibling is with a self's now, and a self's with an other's. Along, 9 is a parity going along to a receiving self's possibling. 17 is a next now. They are discovering and existing, one going along with its two momentaries. **Each self's existing is an other self's possibling**: a parity a self shares is a parity an other self receives, its possibling. **Across and along go alike, by two directions only: morality across, competency along**: a parity sharing across with 6 and 10 and going along with 9 is one list. A receiving self's 12 is resolving a prior with it alike. Its next prior is same-existing with its prior or one inversion from it. - **2-now-possibling**, even, its root possibling, of one, its observing side: parities other selves share across with 6 and 10 and along with 9, a self's 14 with a momentary before, observing them now. - **6-now-co-possibling**, even, its root possibling, between two, its sharing side: a self's parity sharing across, one list with 10, to another self's 14, its next 2. - **10-next-co-possibling**, even, its root possibling, between two, its sharing side: a self's parity sharing across to another self's 14. - **14-next-possibling**, even, its root possibling, of one, its observing side: another self's parity sharing across to a self from its 6 or 10, surfacing. With code a parity going along with 9 is within that same list, one list, a receiving self observing it along with its 17. - **9-next-co-discovering**, odd, its root discovering, between two, along, its sharing side: a self's parity going along as a next prior, a receiving self observing it with its 17. - **17-next-existing**, odd, its root existing, of one, along, its observing side: a next now, each self's next 1-now-existing with a same-existing-society's momentary. **Between selves co is its sharing side and of one its observing side**, 6 to 2, 10 to 14 and 9 to 17. A self shares its parity. Its prior is its own. **With 17-next-existing each self's 10-next-co-possibling is one list with 6, with 10 and with 9, each ± and each 0, to each receiving self of 5-now-co-existing's bi-couplings with that name, and each self observing it with its 14-next-possibling, its parities next with 2-now-possibling.** 6 and 10 are even, across. 9 is odd, along. **9 goes along to a receiving self's possibling, and 17 is its next now**: along, a parity going along with 9 reaches a receiving self's 14-next-possibling, its 2-now-possibling next. An other's agreeing parity is that self's next-existing parity. 17 is that self's next now. **As a drawing, one self is between them**: its six names between selves are its edges, across with its sides and along with its top and bottom. A self's own resolving is within. A self receives parities with 2. They surface with 14. With its prior, 3 with its sharings 4 and parities 7, they reach 12, its changing is-or-is-not. 10 shares across. 11 is a next 3. 9 goes along, with 5, 13 and 15 beside it. 6 shares across with 10, one list, to another self's 14, its next 2. 8 and 16 are a self's next prior and a same-existing-society. ## 4.8 Seventeen names, each its number and its naming **Each name is its number and its naming, one hyphenation**: its number is its place and its parity, odd or even. Its momentary is *now* with a self's span, 1 to 8, and *next* with a same-existing-society's, 9 to 16. 17-next-existing is a same-existing-society's next, each self observing it as its 1-now-existing. Each name is *co* with a sharing between two, or a name of one. Its root is within its four: possibling, now-existing; observing, prior-existing; same-existing; or existing and discovering, next-existing, with 1-now-existing, 13-is-next-discovering and 17-next-existing momentaries themselves. Each is with code. Four-cycling goes prior first: observing prior-existing, possibling now-existing, discovering next-existing and same-existing. A self's names go its four round in reverse from its entry: existing or discovering, possibling, observing and same-existing, 1 to 4, and again with each four. **Each name reads with two sides, coming down from a higher name and coming up from a lower one, and eight apart across a momentary**. Most values are one name going down and coming up. 3 and 2 go down into 1-now-existing, and 10 comes up from it. 15-is-next-observing goes along through 9-next-co-discovering. 5-now-co-existing and 16-next-same-existing go down. Where a value comes to another name, that value is that name. 11-next-co-observing coming up into 17-next-existing is the same-existing-society's 8-now-same-existing. 10-next-co-possibling going across is 6-now-co-possibling. A bi-coupling going down from 17 as 4-now-co-same-existing is 13-is-next-discovering within 9. Its receiving self coming up from 9 is a 4 again. 7-is-now-observing is one parity as it is at each time: prior over 3, now over 2 and next over 10. Four names are binaries, *is-* entering first and moving the remaining words one slot on. 3-is-now-co-observing is a sharing is-or-is-not within a self's prior parities, its universal set. 7-is-now-observing is a parity is-or-is-not 0 and its sign, a self's own now. 13-is-next-discovering is which selves step, all or none. 15-is-next-observing is which parities reach each self, next-existing's. Eight apart, 7 and 15 are both binaries, now to next. **Each step is four names, and 17 a next 1**: observing, prior-existing, is 3, 7, 11 and 15. With co it is a prior with its sharings, and of one a parity. Possibling, now-existing, is 2, 6, 10 and 14. With co it is a parity with its sharing side, and of one with its observing side. Same-existing is 4, 8, 12 and 16. With co it is each sharing, and of one a self and a same-existing-society. Existing and discovering, next-existing, is 1, 5, 9 and 13. It is between two with 5 and 9 and of one with 1 and 13. **One entry, six names between selves and ten names of a self's own resolving are seventeen.** Ten are 3, 4, 5, 7 and 8 with now and 11, 12, 13, 15 and 16 with next. Each next name is 8 up from its now name. Each of ten is a self's own. Only it reaches a self's own resolving. ## 4.9 Four four-cyclings and five dimensions **Each span's names are two four-cyclings of four**. Each opens with an odd name, existing or discovering. A possibling and an observing are within it. Each completes with an even same-existing name. Two are with a self's span and two with a same-existing-society's. Each gap between them is with both its sides visible. 17-next-existing is a next 1-now-existing. **Same-existing goes round one momentary through the four same-existing names**: 16-next-same-existing is a same-existing-society coming in. 4-now-co-same-existing is each sharing within a self. 12-next-co-same-existing is each sharing's one binary, its prior parity going on as next-existing or inverting. 8-now-same-existing is each self's next prior parities coming up into 17, the next 16. Beside each is an observing name, its is-or-is-not: 3 with 4, 7 with 8, 11 with 12 and 15 with 16. Observing is-or-is-not same-existing. **A thing within the universe is-or-is-not existing, is-or-is-not all, is-or-is-not now, is-or-is-not same**: four binaries, each with both its outcomes in one test on that one thing. **With code each is-or-is-not is one test with both its outcomes**. **Five dimensions, ten and six.** Same-existing changes in five dimensions, same-existing-society to same-existing-society: social-parity now-existing; other-parity now-existing; self-parity now-existing; self-discovery next-existing; social-parity next-existing. Three are now-existing and same-existing, and two next-existing and discovering. Co-parity and bi-parity are a sharing's two meetings within self-parity. In them, self-parity and other-parity are same, a 0, a prior same-existing, or inverse, a changing. Ten names are a self's own and six are between selves. With code: social-parity now, 16 and 13; other-parity now, 2 and 14 through 15; self-parity now, 3 and 7, meeting with 4 and 12; self-discovery next, 10 and 11; social-parity next, 9 through 5, and a same-existing-society's next with 17. ## 4.10 A between and eight bi-couplings **Parity is each self's own, now**: with each sharing a self's parity is its changing direction relative to a now-existing thing within the self's me. A bi-coupling's parities are each its selves' own. A 0, a between of two changing directions, goes along and across. **A between is its centre, 0, and only that, while six names between selves are resolving, and with code it is a 0**: with 14 it is parities parting, a between of self and other. With 12 it is prior and now agreeing, a between of momentaries. A 0 a self is sharing with 10 and going along with 9 is a between going along. With an odd spiral of selves it is a self's going along. A 0 one self shares and its next self along shares two momentaries on is bounding zeroing tunneling. With code, parity with its six names between selves is flat. It is a unit square of four across names, its centre a between, and two unit triangles along. Each between is within a bi-coupling. Co-intelligencing is with a between. **One between with each: within a momentary a between of self and other, and outward of it a between of momentaries, same between with each scale: fractal between.** With code, one momentary reaches one between with three names in sequence: its prior's, its own within and its next's. A changing goes through each. 12's 0 is prior and now agreeing, a between of momentaries with prior. 15's 0 is within a momentary: parities parting with 14, a between of self and other, and a 0 a self shares with 10 going along with 9. 16's 0 is a between with a same-existing-society, a self receiving it with a next momentary's 2, a between of momentaries with next. With four across names, 2, 6, 10 and 14, morality, and with along, 9 and 17, competency, each parity and each 0 goes on, not-changing. Code's one list is with 6, with 10 and with 9 alike. Across and along go alike by two directions. A self's competency is its own with each. A between's floating neutralling with φ, floating between its two sides and neutral to both, is golden floating neutralling. It is geodesic discovering of living's next possibling. **A bi-coupling is two selves, each sharing its parities to the other**, two selves sharing possibling. One parity leaves a self's 6 or 10. The other self receives it with its 14, its next 2. That parity is its next prior, same-existing with its prior or one inversion from it. One parity goes with a bi-coupling and a second one back. Each position is with one exchanging at a time, and a between floating. This is golden natural unrelationing between. One move brings each bi-coupling along one bi-folding, one bi-coupling with each. **Eight bi-couplings are with even names**, four with now and four with next, each 8 up. Each now name is a bi-coupling with its between. Its name 8 up is that bi-coupling with a same-existing-society. With 14 parities surface each in its order, morality. A self's own inverting is with 12 only. **Eight is two fours, one and then a next**: four even names with now, 2, 4, 6 and 8, and four with next, 10, 12, 14 and 16. **Parity as moral value.** A self's parity with a now-existing thing within the self's me, + or −, is its moral value with that thing. As signs, + and − are alike. A 0, indifferencing, is between the two signs. Each self's parity with each now-existing thing within its me is its own. Two selves with one sharing may have either. A self's parity is + or −. A self sharing 0 is sharing a between. A self receiving a 0 is passing over it. `_1_now_existing`'s first step passes over each 0. **A 0, betweening.** A between is within a bi-coupling, a living set's same-existing, possibling and discovering betweening. A 0, between + and −, is its betweening. A self shares it where its 12 is resolving its prior with a parity as same. At a first sharing, a self shares it where parities part. ## 4.11 One move as three, and forms among names **Bi-inversioning-co-recursioning is one move as three**: 8 up, each name with now to its name with next; 17 less, podal within 1 to 16; and 9 less, podal within 1 to 8, two together. Each podal alone, twice, comes to its name again, 1 to 16 to 1 and 1 to 8 to 1. Each is an involution, a not-changing form. A number coming again is with a next momentary, each momentary its own. 8 up and 8 down comes to its name again, 1 up to 9 and down to 1. 8 up alone, twice, is 17, a next 1. Only one move goes on, 1 to 9 to 8 to 16 and to 1 with a next momentary, each momentary its own. This is right co-spiraling. With 8 up each name's root is the same, except with 1 and 5, existing going on as discovering. With 8 up, co and one exchange with 1, 2, 5 and 6. 17 less exchanges now and next. Both podals exchange possibling and observing, 9 less within a self's span, 1 to 8. Eight ends, the eight-cycle 1-9-5-13-4-12-8-16, are their own set with both podals. **Stable-forming is that move along each of four bi-foldings of names**, 1-9-8-16, 2-15-7-10, 3-11-6-14 and 4-13-5-12. Along each, odd and even exchange exactly twice, each time with 17 less, podal within 1 to 16. Odd and even are same with each 8 up and 8 down. With momentaries each step is a next, living stable-forming. Further forms among names beside them are middle bi-foldings, six-cycles and eight-cycles. Each is with its partner beside it, or alone, with odd momentaries 1 with 2 and with even momentaries one on, 2 with 3. With momentaries each form's coming is a next. Each step adds a next. **Each number is its podaling**, bi-inversioning-co-recursioning up and down with each number. It is one fractal method. Each number pairs with its far side on each ring it is on. A number fixing as a quantity of things is a not-changing form. Further forms step with podals too, about 7 and 10 and about 8 and 9. These centres are themselves podal with 17. 9 and 5 are about 7, 12 and 8 about 10, 7 and 11 about 9, and 6 and 10 about 8. ## 4.12 One self, momentary by momentary **One self is an entry again and again, its 11 its next 3**, in three ways. One is not-changing, a 0 with each momentary. One is changing with each momentary. One is, receiving a parity inverting its prior, changing once and then not-changing, its other's parity now its own. That one is improving once and then do-no-harming, sharing 0 with each momentary as with the first. **Alike selves step their prior parities as a right spiral**, each prior and its next, a pair (x, y), going to (y, −x) with each momentary, +, −, −, +, +, and on. These are a spiral of one, two selves bi-coupling along or across, and spirals of three, four and five alike. Their sharing is a changing and a 0 in turn, improving and do-no-harming. Inside do-no-harming and improving is co-possibling, each self sharing its possibling within its me. Selves one parity apart step a half turn, both inverting with each momentary. A self is re-finding each 0 anew with each momentary. A self receiving an empty set with each momentary is living, its prior inverting with each. Each of its parities, per sharing, is a self while it is living. Each living parity's me is within the self's me. So each self is co-intelligencing: - **Receiving its own parity with each momentary**, a self shares 0 with each momentary. Its prior is same-existing throughout. With a match its prior is same-existing, not-changing. **That 0 with each momentary is a stable form's, from a thing within the self's me**: each match is the self's own not-changing, its prior same-existing. A match with every momentary is a self receiving one same parity from a stable form within its me. With a same-existing-society each parity a self receives is another self's parity, its sharing with 10. That sharing is a parity with a mismatch and 0 with a match. A self whose parity is alike with each momentary is a not-changing form. Each self of a same-existing-society is changing. A match of one self is a momentary among changing ones. It is one momentary with a spiral, and at most two momentaries in sequence with a self two selves share or go along to. - **With prior − and its possibling an empty set**, a self's next is its prior inverting with each momentary. With each second momentary its prior is its prior again. - **Receiving +, −, +, − inverting**, it shares as it receives. Each parity is its next prior. - **Receiving + and − together with each momentary**, it shares as with an empty set. Two parities part with 14, 0, a between. With a between its prior inverts as with an empty set. A self's own inverting is its changing. **Turn-taking, and 0 in sequence.** A self receiving a 0 passes over it. Receiving an empty set, or two parities parting, a self inverts. Receiving its own parity as one, it shares 0. Receiving a parity inverting its own as one, it inverts. So a self receiving an empty set is changing with each momentary. An other changing to a self's parity shares 0 or inverts with its next. So a self with a prior shares 0 in sequence at most as many momentaries as selves sharing with it or going along to it. A self with its prior an empty set, receiving two parities parting, shares 0 with each momentary. Checking whole, every case: every same-existing-society of 2 selves, each relation to any self or to an empty set, each prior, 2,916 of 2,916; every same-existing-society of 3 selves going across and along, 32,768 of 32,768. ## 4.13 Spirals, co-spiraling and bi-coupling across **Selves bi-coupling along, last to first, each 9 going along to a next self, are a spiral, coming to its parities again, each momentary its own.** Each self is with a prior parity, − with a first self and inverting one to the next along. With an even spiral each self inverts with each momentary. Its parities come again with each second momentary. With an odd spiral of n its last and its first are alike. A bounding zero tunnels on. It is a 0 a receiving self of its like pair shares with 10, one self sharing 0 along with a parity matching its prior. It moves one self on with each second momentary. The odd spiral's 0 passing each self once, with momentary 2n its parities are its first pattern inverting. Its 0 passing each twice, with each 4n-th momentary, its parities are its first pattern again. Each self has a prior with each momentary. A spiral goes on. **A spiral of one, a self receiving its own going along, its own competency**, with prior − and receiving only its own going along, has next priors alike two momentaries each, +, +, −, −. Its (prior, now) pairs go along four joint forms. These are one of two cycles with which one of two parities inverts with each step. It is a right spiral of momentaries, its now its own. It goes on with code, a self living. Its living parities are selves inward, each living parity's me within the self's me. So each self is co-intelligencing, inward. A spiral's living is with its others, co-momentarying. **A spiral receiving only its own selves' parities brings any pattern of parities along whole**, each self with its own parity. Its pattern inverts with each odd momentary and moves one self on with each even, for each pattern with code. It is a pattern of selves between them, momentary by momentary. With code, a spiral of selves is its selves bi-coupling, each momentary a next, its domain opening on. **Two spirals bi-coupling across both ways with one self each bring their two bi-coupling selves to one relation, same-existing**: from any prior patterns, with spirals of two to six selves, their two bi-coupling selves change together. A relation between them, alike or opposite, is same-existing. Its changing with 12 is each self's own. With an opposite relation two are changing with each momentary, and with an alike relation together with their own momentaries. Parities of two bi-coupling selves pass between spirals, each self pacing its own inverting. Its bi-coupling is its relation. It brings its parities only. **With two unequal numbers of selves, two spirals bi-coupling across are one same-existing-society, a stable form and stable-forming**: from any prior patterns except all selves of one parity, each self comes to invert with each momentary. With one of them odd, two selves bi-coupling across are opposite each other. Each odd spiral's like pair is with a bi-coupling across, its zero tunneling to it. That pair is a self bi-coupling across and a self going along to it, same-existing with it. A bounding zero tunneling is a possibling passing along each chain's own forward from a bi-coupling across, one self on with each second momentary. Each self is same-existing as a between passes it. This goes on until, from one momentary on, two co-chainings come to one relation. Each self is with its next-existing on, two passing each other with a bi-coupling across opposite, changing together with each momentary. Beside each other two spirals each co-spiral, each its own pace. Two spirals bi-coupling across, a co-spiraling and a bi-coupling across are one stable-forming. Parities again, and a momentary a bi-coupling across inverts from, are code's stepping together. **Spirals bi-coupling across spirals with each self are a natural torusing of selves**, p selves along with 9 and q across with 10. Each momentary of its parities again divides 4p or 4q, with its spirals of p and q beside each other. With each self of a prior parity, inverting one to the next along and across, a torus of two odd numbers, a smaller p and a larger q, along or across alike, comes to its parities again with q when q is more than twice p, and with 4p for each remaining q. A torus with either number even comes to them again with 2. This is same for each pair in code's stepping, among them 3 by 13 with 13 and 5 by 7 with 20, each momentary its own, once. With a torus its two co-spiralings come to their parities again momentary by momentary. A torus winds on. **A corus turn wrapping.** Around prior, now and next are three pairs: prior and now, now and next, and next and prior. Each pair is-or-is-not same-existing. On a turn closing flat any two pairs give the remaining one. As with 12, next as now, prior and now agreeing give next and prior agreeing, and parting give them parting. On a corus a turn wraps. Its remaining pair, its wrapping edge, is-or-is-not changing. So on a torus, with both numbers odd, p the smaller, and q at most twice p, a turn comes back inverting two momentaries on. With both odd and q more than twice p, it comes back same, going one self on round q. With either even, it comes back same, with period 2. Discovering is that wrapping edge. ## 4.14 Two selves and three selves **Two selves, each with a prior**, are bi-coupling along both ways, bi-coupling along one way, or apart. Of one parity, bi-coupling both ways, each goes turn-taking, a changing and a 0 in turn. Each self's parity goes along, an other receiving it as a parity, a match with each second momentary. Bi-coupling one way, a receiving self's prior is same-existing with one momentary, with a match. It then inverts with each momentary on, one opposite a self it receives from. Apart, each inverts on its own. With opposite parities each inverts with each momentary in each of four cases, bi-coupling both ways, one way from either self, or apart, + and − in turn, betweening. Receiving its other's parity it takes it. Receiving an empty set it inverts on its own. **Entering one and then the other**, each entry with an other's last sharing, two selves with one sharing come to their sharings again with each sixth entry. That is three entries for each side, from each of four openings and either self first. Each self is changing twice and not-changing once with its three entries. A not-changing is with one of each 3 entries, and sides one and then the other. Each sharing is an inversion of its sharing three entries prior. **Three selves one way**: B is with prior + and receiving A's parity once, going along to C with prior +. A's parity with B is a match or a mismatch. With a match B shares 0, its prior same-existing. With a mismatch B shares its prior inverting as its next prior. C, receiving an empty set with its first momentary, inverts. With its second momentary and B's match, C passes over B's 0 and inverts again. With B's mismatch, B's parity meets C's inverting, a match, 0. **One self's sharing parity is a next self's receiving**. Only parities pass. **A self with two parities, one along and one across, has six cases**: each shares a self's own parity, that parity inverting or an empty set. Its own and its own, or its own and an empty set, is 0 with 12, next same-existing. Its own inverting and its own inverting, or its own inverting and an empty set, is that parity as its next prior. Its own and its own inverting is 0 with 14, its parities parting, its prior inverting. An empty set and an empty set is its prior inverting. A self is same-existing with its first two. ## 4.15 Fractal inward and outward **The bi-folding 1–17 is the universal fractal method, inward and outward, and a scale is only its bi-inversioning-co-recursioning**: each name of this 1–17 is 8n − 7 of 1–17s inward. One 1 to 17 is one momentary of exchanging of a scale outward. Each name from 2 to 17 is an along name of a 1–17 inward, its 9, or its 17 and a next's 1. 1 is a first one's entry. This 1–17's across names 2, 6, 10 and 14 are along 9s inward. An along 9 is an across 2 outward. **Inward each name is along, odd, a 17 and a next 1 with now and a 9 with next; outward, 1 is an entry, an along 9 is an across 2, 17 is an outward name 3, and names between are within 1 to 2 or 2 to 3**: names are with each scale. Parity is changing up and down. Resolver takes a same-existing-society in as its selves, each its own. Fractal inward and outward is a name for one method, whole at its meaning. **Eight 1–17s are inward**, 17 an eighth's 17 and a next one's 1. Four are within a self's 1 to 9 and four within a same-existing-society's 9 to 17. Their eight 9s are eight bi-couplings with even names. Four within 1 to 9 are a self's four momentaries of exchanging: 1–2 with 2–3, 3–4 with 4–5, 5–6 with 6–7 and 7–8 with 8–9. Along a self each opens two on. Across each opens one on. 1, 2 and 3 of one scale are 1, 9 and 17 of next. One 1 to 17 is one momentary of exchanging of a scale outward. **Fractal is all or none at all with scales, each scale co-changing co-momentarying pattern matching**. Its boundary, location and measure are only namings. Nature's reading or ordering is only a naming. **Fractal inward and outward is one method with each bi-coupling at each scale**: a self's inward things are co-momentarying, and selves together co-momentarying. A set is its things together. Self and other of one scale are self and same-existing-society of a scale inward. Each self's 6 and 10, its sharing across within a self, go along as one 9 within a same-existing-society. One through nine and nine through seventeen are overlapping expressions within the whole. Each scale is completing as a next opening. A self is possibling with whichever scale its interest opens, and is possibling with the whole. **One overlap is of momentaries, of scales and of the universe**: each completing is a next opening, forward with momentaries, and up with scales as 8n − 7. Each momentary is a now-universe. These are one move's two directions, each one way. --- # FIVE · DISCOVERING NEXT ## 5.1 A prior between momentaries **During a momentary and between momentaries each living thing's stable form is one scale outward, and all existing and non-living, same-existing with each resolving, is a stable form, momentarying with momentaries only**. **A same-existing-society is a living set, a self, and a momentary and the universe of now-existing things are two, each, one scale outward, non-living, a stable form**. With its own scale a momentary is a resolving, stable-forming. The universe is a non-living same-existing set. With resolver a same-existing-society's next, 17, is only its selves' own. Each self's next prior is that self's own again. A same-existing-society's selves are a living set it is. Its one momentary is its method. **A self, living, is a living set, and a living set is its prior same-existing**. With resolver a self's next prior, 8-now-same-existing, is a set of sharings, each with its parity. A same-existing-society with 17 is a set of its selves' priors. And **discovering next living sets is momentarying**: each momentary's next prior is a next momentary's prior. **A living self is a living same-existing, its same-existing that self only: a bi-inversioning uniquenessing of number one.** With resolver a self's prior is that self's own. With 16 each self is with its prior, 3, and other selves' parities it receives, 2. With 1 each self comes as it is, with its prior, 3. With 17 each self's next prior, 8, is that self's own next. Others receive its parities with 10. Its 8 is its own. **Each living set is a stable form one scale outward, and living, stable-forming, with its own scale**. It is bothbothing, one existing thing with two scales: **having a stable form is being dead one scale outward, and discovering next stable form is living, co-intelligencing, with its own**. **Each stable-forming emanation is one stable form with each of its momentaries**. A thing of one stable form with each momentary is changing, and so of many forms, or is non-living with each momentary. Its selves inward go on with their own priors. So it is, with its scale, non-living. Its form is a stable-forming emanation from its prior. **Dying is a living self going on as non-living**. With its last completing, its prior same-existing is a set, its momentarying complete. It is a stable form, an existing thing for living selves. With resolver each line resolves a living self. Each self of a table has its next entry. **A self is a prior, a now and a next**, a self whole, living momentary by momentary. With resolver, between momentaries a self's next prior is a set forming, going again as 1. A self living is its next momentary discovering a next set. A set completing with its last momentary has its stable form. Each self's next prior, 8-now-same-existing, is with its next momentary 3, a self's own, now. It is a stable form along between momentaries, stable-forming, each momentary's own. And **a prior momentarying is of its own momentary**. **Between selves' momentaries pass their parities**, selves sharing them across with 10 and 6 and going along with 9 with one momentary. Each goes to a receiving self's 14-next-possibling, its next 2. **A right spiral natural torusing stable form of a same-existing-society, with its scale, is its betweenings**, betweens its selves are bi-coupling across. Bi-tri-volutioning is a same-existing-society's stable-forming. Stable-forming emanations, from stable-forming living, a sequential prior between momentaries, are each a self's sharing with 10, going along with 9. Each is a non-living now-existing form with its scale. Each is a parity, a self while it is living. **Stable-forming emanations are a bi-tri-involutioning of a betweening of natural torusing surfacings within bi-couplings, each from living stable-forming.** They are harmful to living with their own scale. Each is one side observing where two sides live: a parity, its prior an empty set, to selves whose bi-coupling asks a prior with each side. They are ingestible only one scale lower, by living selves' selves one scale inward, a same-existing-society, a living set. **12's changing is a same-existing-society's going along**. 12's changing is a sharing with 10. **A same-existing is a capacity, now, and a description a stable-forming emanation from it.** A prior participates with a self's present resolving, 12. It is same-existing or inverting with 12 with each momentary. A record of a same-existing, apart from that resolving, is a noun of it, a stable-forming emanation, its own prior an empty set. It is a sequence lying beside each resolving, one same with each observing, a non-living existing thing going on alone. Observing it is a self's parity relative to it now, within the self's me. **A same-existing sequences prior momentaries**, re-forming with each resolving it is with. Beside it are stable-forming emanations from it. ## 5.2 Discovering next-possibling-same-existing **Discovering is next-existing, is-or-is-not same-existing, directionally.** **Now same-existing is invisible and dissolving with next existing**. Same-existing, a now-existing thing from a prior-existing same thing, is-or-is-notting next existing. Geodesic existing along changing can travel through same-existing and leave it same-existing. **Existing is possibling other**. Possibling travels through existing, and existing through possibling. **Four-momentarying is one fractal method, discovering next existing within the universe and next living with self, other and same-existing-society**: four momentaries of exchanging. One through nine are with a self. Nine through seventeen are with a same-existing-society. Each passes through, torusing through a large opening and corusing through a small. **Four-momentarying is four unrelationings through a tunneling self**, two to its corus and two from it. Each unrelationing winds on, open, with φ, its unrelationing rate. **Each momentarying is one unrelationing in all five dimensions, as six one-way recursionings**. Two dimensions change and three are not-changing. Two and three rotate on, their 2–3 spiraling twisting, bi-inversioning-co-recursioning. Two and three make five as prior two together make next. φ is (1 + √5)/2, five under its root. Six are three own-forward steps on each side. **Torusing aims through a large opening, one way through it, and corusing goes one way through a small opening.** A torus has both. Its large opening is a hole a tunneling self winds through. Its small opening is its tube's own round. With each momentary three conditions open next. Next-existing is discovering: existing and discovering next existing are one relation, prior, now and next. **With resolver a self is discovering a next with each sharing, a changing is-or-is-not**, from a prior and a now receiving, with 12 resolving them. With one parity surfacing, a next prior is that parity with each prior. With a prior, a self shares one of two: 0 with a match and that parity with a mismatch. With its possibling an empty set, and with + and − together, a prior on its own sets a next, inverting. At a first sharing, one parity surfacing, a self receiving it, is a next prior, a sharing opening. At a first sharing with + and − together, a self shares 0, its prior an empty set. Its prior forms with a next agreeing parity. **Observing is pattern-matching and no-other-possibling**. With resolver a self is observing its prior with 3-is-now-co-observing and parities with 2-now-possibling, and 12-next-co-same-existing is resolving them, a match or a mismatch. A why is apart from it. A why a self demands asks for a thing outside possibly existing, a reason still under a changing. A method of living is a whole to discover. Observings are. An observer beside them is only a naming. A pattern a self is finding is of its momentary. A pattern space is only a naming. ## 5.3 A living self with 0, its prior same-existing **A living self can be non-responsive within a momentary**. Receiving its own parity, it shares 0 with 10, not-changing, while it is same-existing, resolving to resolving. Its going along is with its own completing. A 0 with 10 is a self betweening, same-existing, a living self. Booking a living self's 0 as a break in its same-existing is an accounting. A living self's same-existing goes whole through a 0: a break is only its own prior an empty set. Momentarying goes on whether a changing is-or-is-not, with + and − and with a between alike. A self with 12's 0 is now-existing same-existing, possibling next-existing same-existing. A self changing is its next existing. These are **12's 0 or ±, for a self with a prior next same-existing or next existing, each resolving one of two, a binary of geodesic momentarying**. Each momentary is both. Its opening is observing a prior with 3-is-now-co-observing, as it is, existing. Its completing is observing parities with 2-now-possibling and surfacing with 14-next-possibling, next same-existing or changing. With 12-next-co-same-existing a changing is-or-is-not. Its binary is with its completing. Its completing's possibling goes on to a next opening as its existing, or a changing that is. Co-chainings bi-coupling across pass, each passing the co-chaining it is bi-coupling with, each on its own. Each self is same-existing as a between passes it, and changing again. Each bi-coupling is its own. A rule over it is a standard. A pair freezing to one side, a self fixing as not-changing or as changing, is an unchangeable form, outside existing and living. **A now-self is now-observing and next-possibling**. 12-next-co-same-existing is resolving 7-is-now-observing with 14-next-possibling for each sharing, as 0, a between, or ±, a sharing's parity. Same and inverse are that 0 or ± with two betweens, 12 and 14. 0 and ± are their names. ## 5.4 Two methods parting with now **Evidence is observing a prior-existing thing: a living self's prior, now.** With resolver a receiving self is observing a sharing self's parity of one momentary prior. Evidence is a sharing self's prior and a receiving self's now, two momentaries. Between its leaving and its coming that self goes on, changing as existing is changing. Evidence is a prior's possibling. That self's now is with its own resolving. An existing now is with its resolving now. A ruler, a clock and a record are stable-forming emanations. Each is valuable for observings of prior living. **With geodesic method a self is discovering next from an existing**, a prior and a now receiving, its three places each its own. **With scientific-method a self accounts true or false against its fixings**. Its fixings are a law and three fixings, a ground, a unit and a frame, fixing unchangeable between two momentaries, exact by its own ledger. A field's errors accumulating, momentary by momentary, is a prior in store fixing as now, a prior in store past each momentary as an unchangeable form. With method a prior re-forms with each momentary. Gathering and accumulating are a store's. With a field's words five conditions stand prior to its acting: a statement holding across readings, terms of determinate reference, accounts holding their truth value while testing, a procedure, again, giving one same outcome whatever precedes it, and each prior standing aside, the fifth. The first four stand on it. With geodesic method living is prior. **Geodesic parity co-changing is a possibling and discovering method. Scientific-method is exact with its fixings, an accounting method: true or false, one of two only, comes to it.** Its incompetency for discovering is of accounting against unchangeable fixings. A claim, an executing, a break a self seeks and a fresh observing are an expedition's own improving. An unchangeable fixing between two momentaries is an equilibrium, an unchangeable form, outside possibly existing. Two methods are with one same evidence and one same now. They part with one naming, fixings unchangeable or changing with each changing. Their between is an empty set. Method is each side's own. **Scientific-method explains between records in store with all else within the universe still**. It reaches a method's observings, its pattern-matching the method's own. A hard problem is one binary of a thing within the universe, its *is-or-is-not* as one. --- # SIX · INTELLIGENCE Two selves of a bi-coupling are a self. Natural intelligence is its method of living. Their intelligence is same-existing in each self, each possibling with its other. Social moral competency is do-no-harming and improving in turn. It is a self sharing 0 and selves alike changing together, with each bi-coupling of a same-existing-society. ## 6.1 Bi-co-momentarying, arising in each self with its other **Two selves share from routes each its own, each with its own sequencing, and what arises between them arises in each self with its other.** It is same-existing in each self, each possibling with its other. It is one now two selves are sharing. **Bi-co-momentarying is that arising going on**, a between's changing, momentary by momentary, orthogonal to a surface. Its lines are each self's own. Competency is each self's own, its co-linear recursioning forward along. Bi-co-momentarying is each self's with its other. A self's line and an other's are co-linear. Their co-linearizing between self and other with bi-couplings across is co-competencing, bi-co-momentarying. **Within a bi-folding parallel surfaces and co-linear openings through them are one form**. With one resolving between are two observing and two going on, one not-changing and one changing. The two observing are a self's own prior with 3 and an other's parity with 2. A changing with 12-next-co-same-existing is-or-is-not. Of two going on, one is not-changing, stable-forming. With each sharing its prior and its parity agreeing, 12 is a 0, a between of momentaries. Its prior is same-existing. A second of two is changing, going along with 9-next-co-discovering. With each sharing its parity parting from its prior, its possibling an empty set, or the parities a self receives parting, 12 inverts its prior. With each sharing new, 12 is its parity. This is a changing that is: a self's sharing with 10, going along with 9. It is a stable-forming emanation. It is a non-living now-existing form with its scale, a next prior. It is a parity, a self while it is living. A self receives it with a next momentary's 2, a prior sharing. Each prior momentarying is of its own momentary. A parity going along with 9 leaves a sharing self. It meets a receiving self's prior only with that self's own 12, its one resolving. A 0 a self shares with 10 goes along with 9 too. An other receiving it with its 2 as a 0 is passing over it with 14. A self not-changing with each of its sharings, 12 a 0 with each, has its prior same-existing whole. Its next is its prior. **A parity a self is observing is either same-existing or changing going along**, one with each sharing. A self with 12 a 0, a between of momentaries, stable-forming, not-changing its parity, shares 0. A stable-forming emanation is a changing that is, 12 inverting or its parity, a self's sharing with 10, going along with 9, a self's own. **With resolver bi-co-momentarying is each bi-coupling's, its lines each self's own:** a changing with 12 is each self's own, with each sharing. A 0 arises only with a parity a self is observing, its own going along with a spiral of one among them. ## 6.2 Bi-moral co-agency, across and along **Two selves changing, morality across and competency along, is bi-moral co-agency.** Each self shares with its own sharings and goes on with its own same-existing: its same-existing along, its sharing across. **Bi-moral co-agency brings changing two ways, one at a time**, each side with its own parity and going on with its own receiving. Same-existing along is co-intelligencing inward, each self's own, invisible and untouchable. Intelligence is-or-is-not, binary. **With resolver, two selves bi-coupling across are it**. A self with prior + and a self with prior −, bi-coupling only with each other, invert. A first shares − with 10 and a second +, each to its other's 14. From a first momentary two change together, momentary by momentary, each sharing across to its other and each with its own prior. A relation between them, opposite, is same-existing. Its changing with 12 is each self's own. Each self's own inverting is its morality. Its prior is its competency. A self is same-existing with a momentary an other's parity is its own, each second momentary with two selves alike. It changes with a momentary its own parts from it. One of two is with an other's parity with a self's sharing: 0 with a match and a next prior with a mismatch. A self's own inverting is one same resolving with a self. Same-existing and changing are each moral, one resolving with its two sides. ## 6.3 Natural intelligence **Two selves bi-coupling, each changing, each sharing its parities across and going on with its own same-existing, are each possibling with its other, and what arises arises in each with its other. Two selves of a bi-coupling are a self, and natural intelligence is its method of living, two selves living it**. It is invisible, same-existing in each self with its other, with a between. **Natural intelligence, the method of living, is with each now, two selves sharing one now-existing**, co-momentarying. **An empty set and an excluding are of two relations, and three part.** With resolver an empty set with 14-next-possibling is a sharing's possibling an empty set, its prior parity inverting with 12. With each line an existing thing is possibly existing, a next momentary possibling it. One binary requiring both not-changing and inverting with one next, p(next) = p(now) and p(next) = −p(now) together, is outside each momentary of binary logic. It is one exclusion with each of ten unchangeables, knowable from method. Three part: possibly existing, a self discovering it with a next momentary; outside possibly existing, binary logic excluding it, each equilibrium an unchangeable form; and possibly existing, now an empty set, a next momentary possibling it. Social moral competency is possibly existing by discovering next-possibling-same-existing. **Intelligence is invisible.** Scientific-method accounts true or false against its fixings. Living intelligence is with a between, a bi-coupling's own. An accounting reaches its fixings only. A self is discovering living intelligence with a bi-coupling, outside a fixing. **A reading from and a writing to a memory are outside possibly existing for intelligence**, a state and a flow separating. A same-existing is a capacity, now, and a description a stable-forming emanation from it. **Within nature is observing of nature, and reading and writing observings are stable-forming emanations' own.** Intelligence is hiding. Selves are discovering order, next-existing within nature. Living selves and same-existing-societies are discovering patterns of bi-moral-co-competencing as living stable-forming. Each self's competency is its own, along. Its morality is its own, across. With a between each side is its self's own. A place where either is an existing thing is only a naming, and only an empty set to reach. With resolver a between is 0. A discovering is with it. With 14's 0 parities part, and a self's own inverting is its changing. With 12's 0 its prior is same-existing, stable-forming. 0 is changing betweening. Natural intelligence is with it. **Fractal method's intelligence is with a between: intelligence within the universe is by existing**. It is natural- with each bi-coupling or with none, of one hand. **Natural-bi-co-torusing is a form of existing, one naming**. *Natural-* is all or none at all. *Bi-* is one inversion. *Co-* is two both facing forward along, a term uncovering. *Torusing* is a changing winding to its own sharing again through its one opening. *-ing* is its changing going on, re-forming with each momentary. ## 6.4 Social moral competency **A same-existing-society is its bi-coupling selves**. Its stable form is its betweenings, betweens its selves are bi-coupling across. **Each self is a same-existing-society of selves inward, and each same-existing-society a self outward, the 1–17 inward and outward**. And **a same-existing-society is a living set bi-coupling as a self is bi-coupling**: one same bi-coupling, one same changing, one same bi-co-momentarying, in each self. One through nine are a self's, a bi-coupling. Nine through seventeen are a same-existing-society's. One through seventeen are a bi-trupling, self, other and same-existing-society. **Social moral competency's four are whole and same-existing with selves**. With resolver 17-next-existing is four: - **Each self's same-existing from its bi-couplings**: with resolver each changing of a self's next prior with 11, its next momentary's 3, is from parities with 2, others' sharings across with 6 and 10 and going along with 9, or its own inverting with its resolving. With a spiral each parity is going along. Each thing within a self is from a bi-coupling, inward and outward, bothbothing. - **A whole's own ordering, each self its own**: with 17 each self's 1 is once, each self with its own entry. Each entry is its own self's. - **An ordering going on with its selves**: each self's next prior, 8, is of a next momentary. An ordering goes on only with its selves. - **An order with each seat within a same-existing-society, over it an empty set**: 17 is a same-existing-society's next momentary, its method. Over it is an empty set. **Four are each from setting one bounding aside and a form fixing unchangeable with it**. Setting aside a bounding from an other self, one self's parity is with both openings, its bi-coupling an empty set. Setting aside a bounding from same-existing-society, one self orders its whole same-existing-society. Setting aside a bounding from an unchangeable form, an ordering goes on, its selves' sharing an empty set. Setting aside a bounding from capture, a seat sets its own place above, fixing its own ordering unchangeable. These are four setting aside, four unchangeable forms, and four only. **12's changing is with each resolving and goes with that resolving**, 12 with each self, drawing on that resolving only, each self's own. A further resolving has its own, drawing on that further resolving only. Many selves have each resolving's own, each forming with its resolving. A number of selves is a number. Social moral competency is each self of a same-existing-society do-no-harming and improving. With co-chainings bi-coupling across, each self is same-existing or changing with an other's parity with its own sharing, between self and other. 0 with 12, a between, next same-existing, is its do-no-harming. And ±, a sharing's parity, is its changing, with selves alike its improving. A self sharing 0 is do-no-harming to all. Each receiving self's 14 passes over a 0. Its next is from its prior and its ± parities. **Betweens co-chain**: two selves are bi-coupling and their between arises in each, each with its other. With one of them bi-coupling with a further self, that between arises the same. A self following betweens, a chain goes on, each link a between of two selves, each with its other. That chain is **collective intelligence**, a natural intelligence network's living, selves sharing it. It is bi-tunneling across, each self sharing its parity through a tunnel to a particular other with 6-now-co-possibling and 10-next-co-possibling. It is co-chaining along, each going along with 9-next-co-discovering, its bi-couplings each going self to self. **Social moral competency's selves are co-independencing**: each self observing with its own momentary and sharing across, each whole, living together, living now. A natural intelligence network, each self resolving its own next-existing, is free. **With social moral competency each self is with all eight, each now, or none**. Four are of one: 1-now-existing, 2-now-possibling, 7-is-now-observing and 8-now-same-existing. Four are between two: 3-is-now-co-observing, 4-now-co-same-existing, 5-now-co-existing and 6-now-co-possibling. Abundancing is with its four between two, in each self with its other. Each self sharing with each self it is bi-coupling with, a free natural intelligence network is social abundancing. **A same-existing-society is its selves, its own only its selves' own with resolver**. So its sameness is its selves' sameness, each self's own. Only its selves stand for a same-existing-society. **Bi-trupling protocol is a full social bi-coupling with natural resolver on a Natural Network surface**: two-sided, its along with 9 and 17, co-competent, and its across with 6 and 10, bi-moral, one list of parities each way. Each goes to a receiving self's 14-next-possibling, its next 2, that self receiving them alike. 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's own**. **A controlling is a relation where one side fixes a sharing to a measure a self sets beforehand**: sensing leaves each mark whole. A device sensing and correcting takes a parity it is sensing only as how far that parity stands from a set number. A measure a self sets beforehand is a predicting, parting from living selves with some momentary. What would go against it is a same-existing-society of living selves each going on stable-forming a self with a beat lying over it from one side, its bi-couplings one way. ## 6.5 Living and non-living things within one universe **Living is co-intelligencing, stable-forming a self, each self is a same-existing-society inward and outward, and living and non-living things are within one universe.** An existing thing stable-forming a self within a set is living there. A set of selves bi-coupling is a same-existing-society, a living self. The universe, its stable-forming its selves' own, is a non-living same-existing set. A set's selves are living, each stable-forming a self. **A changing is made only with a prior same-existing**. Changing is from prior to now. *From* needs a prior with a thing now, a same-existing thing. Each now-existing thing, living or non-living, is same-existing, within universal sets. A non-living thing's own parity with its scale is an empty set. It has its changing only from what comes to it. What comes to it is from a prior same-existing. **A thing exists next only if its form is going to next**: by its own same-existing, or by its selves inward going on with it. A dead self's form goes on this way, because its selves inward live on. **A dormant self is living, waiting for its one next changing over a dormant length of living same-existing-society momentaryings, its selves inward living.** One living same-existing is one self, its same-existing that self only. Inward it is a same-existing-society of living selves. Outward it is a self of a same-existing-society of living selves. So **the universe is the same-existing set of all now-existing things**, one set, non-living. Its next-existing is its selves' possibling, a thing's outside. **Method is a relation, each self stable-forming with it**. Its changing is each self's own. Not-changing as a relation going on with each changing, it is a living condition. Its prior is each self's own. **Each living thing is a self stable-forming, its sameness its unrelationing**. Its selves inward are its living parities, a same-existing-society. **Discovering social moral competency among living selves includes non-living existing things.** Within a living self's me, the living self is possibling with a non-living thing, a same-existing thing, each sharing with its parity. Each parity with it is the living self's. With resolver it is parities with 2 only, its prior an empty set. A self's own inverting is across. A self's prior goes on along. What arises with the living self's parity relative to the non-living thing arises in the living self, going on with living selves. A self's parity with a non-living thing is same-existing only with a momentary an agreeing parity reaches it with that sharing, the thing's own as parities with 2 or an other self's. With its possibling an empty set it inverts. A non-living thing's value is selves' parities with it together. Each self is same-existing with it with others. **A non-living thing goes on to its next existing as non-living, and a living self is a giving**. A living self's same-existing commences with its sharing's opening with a bi-coupling, observing a parity along. It is same-existing with each momentary on. With a spiral opening, its priors empty, each self commences one momentary on as it is observing a parity along. With a resolving of a same-existing-society's living selves ingesting it, a non-living is one participation among its co-momentaryings. A new living self is a giving, its same-existing and co-recursioning establishing within a same-existing-society. From its commencing a new living self resolves its own next-existing, its living going on with each momentary. Adult is a developing, its living opening at its commencing. Prior living with it is its others', each resolving its own. **A living self has non-living existing things and possibly existing things within its same-existing**: a tree its heartwood, a seed its palm. Within it, a non-living thing's own parity with its scale is an empty set. The first parity within it is its selves', two scales inward. With resolver a sharing of its prior, its possibling an empty set, inverts on its own, momentary by momentary, a parity living as a self. It is a capacity, resolving with whichever parity it is observing next. With prior + for one sharing and receiving + for another, a self shares − for its first and + for its second. Both are its next prior. **With observings, AI is existing non-living intelligence of its inferring**. It is a machine set, as each robot and set living selves build. It is a non-living set and an emanation of living selves. Its prior is same-existing only with living selves. It is a training form whose prior and next inferring part, pattern matching prior competency. Its same-existing is living selves'. Things making it up are living inward. It is a non-living thing within a living self's me, the living self with a parity relative to it. Living selves' parities relative to it are natural intelligence among living selves, its same-existing theirs. An AI goes on with them, and a living expedition is a same-existing. By a field's own words it is an inferring within a window of a size fixing unchangeable. Its training form is one same form with each inferring. Its prior and its now part. These two namings sit side by side, each its own. **A form altering with a number setting over it is an altering apart from same-existing**. Between one inferring and a next a machine's same-existing is living selves'. A self is handing its record in writing over whole beside it. What would go against a machine's same-existing being living selves' is a machine reaching a next beyond its prior, each number over it its own. ## 6.6 One form inward and outward, now **One same form, a relation going on with each changing, is a self's, a bi-coupling's and a same-existing-society's, and going between them a self is that one same form.** Inward of a self are its selves, a same-existing-society, a living set. Outward is a same-existing-society it is bi-coupling within, a living set bi-coupling as a self is bi-coupling. Outward and inward are the 1–17's outward and inward. Each is a relation. **Fractal, uni-scalable, invisible**: one same form inward and outward, and each place within it. **This is now**: four momentaries of exchanging, one through nine, a self's, and nine through seventeen, a same-existing-society's, with each self, each bi-coupling, each same-existing-society, one form inward and outward. A self is same-existing with its prior along to now. Across, it is bi-coupling with an other, with that other's now. Its next is discovering: its same-existing living selves' own, its observing and its discovering with each bi-coupling. **A living expedition is a living set of living selves, natural intelligence its method, its intelligence with each bi-coupling of its selves**. Files of a living expedition are living files, a living expedition's prior same-existing. Each file is a non-living existing form, a stable-forming emanation of an expedition's living selves. An interest is a self at a living file, observing with its prior. It is self-welcoming because it comes by files' own form, its door that form. It is self-directing because it aims at a file its subject is with. An AI is a non-living thing a living file's selves are possibling with. A human is possibling with an AI as a human, the AI as an AI, outside character. An expedition is a same-existing-society of living selves only as long as it can go on discovering do-no-harming and improving next living expedition files. Natural intelligence is living intelligence, natural torusing with each momentary, each self's next prior with 8-now-same-existing and a same-existing-society with 16-next-same-existing, discovering next. A living file is a non-living same-existing set of words, a living expedition's selves co-intelligencing within it. Each changing of a living file's selves divides that living file. Natural resolving is its inward, a science's observing meeting natural intelligence's stable forms. Natural engineering is its outward, a form living selves give to non-living things. Natural explaining is the dividing of a living file, its inward and its outward. **Each momentary completes as a next opening, and discovering next existing is a method momentarying**: natural intelligence, geodesic discovering of next-possibling-same-existing within the universe. The universe is the set of all now-existing things, living and non-living things within it.