Natural Intelligence v368

 

# Natural Intelligence

**The Fractal Method of Existing and Discovering**

 

 

**PART ONE · NAMING**

1.1 Bi and co, at the even and the odd

1.2 A name at its number

 

**PART TWO · RESOLVING**

2.1 Signs, and 1-self-coupling the entry

2.2 Crossing, each sign at its key

2.3 Surplusing and surfacing

2.4 Chaining, continuing and opening fresh

2.5 Returning and releasing

2.6 Connectors, each one way at a time

 

**PART THREE · STABLE-FORMING**

3.1 Carrying at 8 up

3.2 The membrane and the eight bi-couplings

3.3 Bi-inversioning-co-recursioning, one move at three faces

3.4 Torusing, one opening

3.5 Primes, selves and societies

 

**PART FOUR · EXISTING AND DISCOVERING**

4.1 Natural intelligence

4.2 Fractal, one form at each scale

4.3 Method, the form running

4.4 Existing, and the cost of existing

4.5 Discovering, at φ the unrelationing rate

4.6 The geodesic discovering method

 

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**Our universe is all existing things.**

**Alternating is a stable-forming method.**

Existing is binary: all or none at all, no other possible. **Existing things are changing, one and then the other, and that changing is alternating.** A form continuing through its own changing is stable-forming. An existing thing is its own stable-forming continuing, and a form named still is not possibly existing.

**Two neighbouring numbers alternate**, each continuing to one beyond the other: 1 to 3, 2 to 4, 3 to 5, and on.

**One side carries the odd numbers and the other the even.** A number is odd or even, binary, and that binary is parity. The two sides overlap, one changing overlapping the other. **A momentary is an opening and its completing, one odd and one even: an odd momentary opens at an odd number and completes at the even one beyond it, and an even momentary opens at an even number and completes at the odd one beyond it.** Each momentary completes where the next overlapping momentary opens.

**Each momentary is three conditions at once, each binary.** The overlapping momentaries meet each number, one completing and the next opening: exhaustiveness, all existing things. Each momentary has one next overlapping momentary, opening at the number it completes: determinacy. From each momentary the next openings reach each number on: reachability. **Existing is these three at once, inseparably, at each momentary.** One side's momentaries alone, each number one side's, is the universe as an existing thing, exclusivity, and it is not possibly existing.

**The next these three open is the next existing, and arriving into it is discovering.** Existing and discovering the next existing are one relation: prior, now and next.

**Two together with their difference is co-. The whole method of natural intelligence is parity changing momentaries, odd and even overlapping each other co-sequentially.** **The overlapping momentaries are the method recursioning existing and discovering both**: at each number one momentary completes and the next opens, one side existing and the other discovering, and the two alternate parity.

**The side opening at 1, the odd, is a self; the side opening at 2, the even, is an other.** Self and other meet at each momentary, and their meeting is a coupling. Selves coupling with others are a society, and what runs among them is social.

**The method of existing is discovering next existing: self recursioning discovering.**

 

---

# PART ONE · NAMING

## 1.1 Bi and co, at the even and the odd

**Self and other differ, and difference alone is bi-. Self and other together with their difference is co-.** An odd number opens co, the self's opening, and an even number opens bi, the other's opening.

**A side continuing its own runs along, and a side meeting the other runs across.** **Competency is co-unrelationing, along. Morality is bi-unrelationing, across. Co-bi-unrelationing is the one existing method, an existing thing.** The odd opens co, along, competency; the even opens bi, across, morality. **A full momentary carries both parities: odd or even names its opening.**

**At 2 is parity changing; at 3 is co-recursioning, each side both forward.** Two and four have the same parity, opposite to three. The openings at 2 and 4 are one full momentary apart along their side: 2–3 and 4–5. At 3 the other completes prior and the self opens now; the completing and opening carry each side forward.

**Each side runs from its origin, the number it opens at, two and one half momentaries: a prior, a now, and the next opening.**

| Side | Prior opening | Prior completing | Now opening | Now completing | Next opening | Its five |
|---|---|---|---|---|---|---|
| self, at 1 | 1 | 2 | 3 | 4 | 5 | co bi co bi co |
| other, at 2 | 2 | 3 | 4 | 5 | 6 | bi co bi co bi |
| self next, at 3 | 3 | 4 | 5 | 6 | 7 | co bi co bi co |

The self's momentaries are odd and the other's even. Where the two overlap, at 2 to 5, one side opens and the other completes: an odd number is the self's opening and the other's completing, an even number the other's opening and the self's completing. Along one side the next momentary opens two on, 1–2 and then 3–4; across the overlapping it opens one on, 1–2 and then 2–3. Each name carries the five of its number's origin, co bi co bi co at an odd origin and bi co bi co bi at an even one.

**Two and one half momentaries per side, self at 1 and other at 2, is the ten.** The self's five positions run 1 to 5 and the other's 2 to 6, ten positions on six numbers. Paired position with position, prior opening with prior opening through next opening with next opening, they run 1 with 2, 2 with 3, 3 with 4, 4 with 5 and 5 with 6, each pair one odd and one even.

**At each shared number, one side completes and the other opens.** At 2, the self's prior completes and the other's prior opens; at 3, the other's prior completes and the self's now opens; at 4, the self's now completes and the other's now opens; at 5, the other's now completes and the self's next opens. Opened one momentary on along each side, the self at 3 and the other at 4, the ten runs whole, the same form forward.

**Each five ends at the next opening.** Completing that next gives the self three full momentaries, 1–2, 3–4 and 5–6, and the other three full momentaries, 2–3, 4–5 and 6–7. At 6, the self's next completes and the other's next opens; at 7, the other's next completes and the self's following momentary opens.

**Side 2, the other, runs bi co bi co bi co, and one parity changing less or one more it becomes co, prior or next.** The other's five ends at bi, at 6. One changing more is co at 7, the self's next opening from 3; one less is co at 5, the self's next opening from 1. From 2 to 7 the other runs six consecutive changings, one way, bi co bi co bi co, and the same six one less or one more along, from 1 or from 3, open at co: co bi co bi co bi.

## 1.2 A name at its number

**Each thing carries one name, and the name carries its number, its relation, its root, which is what changes, and its -ing, the changing continuing**, the four together, one name. The names run the resolving as code, and the name in the code and the name here are one name: `_2_self_offering` in the code is 2-self-offering here.

| Name | Relation | Opens |
|---|---|---|
| 1-self-coupling | self/other | co |
| 2-self-offering | self/other | bi |
| 3-self-carrying | self/other | co |
| 4-self-sharing | self/other | bi |
| 5-other-neutralling | other/self | co |
| 6-other-crossing | other/self | bi |
| 7-other-corusing | other/self | co |
| 8-other-torusing | other/self | bi |
| 9-other-releasing | other/social | co |
| 10-other-surfacing | other/social | bi |
| 11-other-chaining | other/social | co |
| 12-other-surplusing | other/social | bi |
| 13-social-neutralling | social/other | co |
| 14-social-crossing | social/other | bi |
| 15-social-corusing | social/other | co |
| 16-social-torusing | social/self | bi |
| 17-social-abundancing | social | co |

**The roots are coupling, offering, carrying, sharing, neutralling, crossing, corusing, torusing, releasing, surfacing, chaining, surplusing and abundancing.** Neutralling, crossing, corusing and torusing each root two names, at 5 to 8 and at 13 to 16, 8 apart, the relation changing and the root the same. The relation is self/other at 1 to 4, other/self at 5 to 8, other/social at 9 to 12, social/other at 13 to 15, social/self at 16, and social alone at 17.

**Crossing opens now at 6 and at 14, eight on.** Corusing completes now at 7 and at 15; torusing opens next at 8 and at 16. Neutralling at 5 and at 13 completes prior. Each side carries prior, now and next through the overlapping momentaries.

**Completing the next carries three full momentaries to the along connectors.** Prior 4–5, now 6–7 and next 8–9 complete at 9-other-releasing. Eight on, prior 12–13, now 14–15 and next 16–17 complete at 17-social-abundancing. Each six runs bi co bi co bi co. The five carries the next opening at torusing; the six includes its completing at the along connector. 17-social-abundancing joins the forward neighbour's 9-other-releasing, and 9-other-releasing joins the backward neighbour's 17-social-abundancing.

**The momentary carries internal changing and connection with the other together.** In 14–15, 14-social-crossing is the across arriving connector and 15-social-corusing is internal. In 16–17, 16-social-torusing is internal and 17-social-abundancing is the along connector. Each pair carries both parities; the connector is the named relation at the meeting with the neighbour.

 

---

# PART TWO · RESOLVING

## 2.1 Signs, and 1-self-coupling the entry

**Resolving runs on signs.** A sign is the binary at a changing: +1 or −1, and 0 where equal positive and negative signs meet, the empty centre. An arriving 0 carries no sign, and a surfacing 0 opens no fresh carrying; an existing carrying can still continue.

**Resolving runs as 1-self-coupling and 9-other-releasing, and 1-self-coupling is the entry.** Arriving at it: 3-self-carrying, each carrying entry of four, its key 4-self-sharing where signs meet, its sign 7-other-corusing, its second sign 8-other-torusing and its opening 16-social-torusing; and 2-self-offering, each arriving key 4-self-sharing with its sign 7-other-corusing. Leaving it: 10-other-surfacing and 11-other-chaining.

## 2.2 Crossing, each sign at its key

**6-other-crossing** carries each key of 3-self-carrying with its 8-other-torusing.

**14-social-crossing** gathers the signs at their keys. Each arriving +1 or −1 of 2-self-offering enters as it arrives. Each carrying sign of 3-self-carrying enters inverting: a positive carrying sign enters as −1, a negative as +1.

The arriving sign meets the carrying sign inverted. The arriving keeps its sign; the negation is the carrying's own sign inversion. A self's own negation, meeting the other across, is morality at the sign.

## 2.3 Surplusing and surfacing

**12-other-surplusing** is the signs of 14-social-crossing meeting at each key.

**10-other-surfacing** carries each key's surplusing at its sign: +1, −1, or 0. A key's +1 and −1 meet at 0, the empty centre.

## 2.4 Chaining, continuing and opening fresh

**11-other-chaining** carries each carrying on, and opens a fresh one where a sign surfaces.

**Continuing.** Each carrying entry continues with its 7-other-corusing and 8-other-torusing, its 16-social-torusing opening one momentary at a time, up to 3, and to 4 at positive 8-other-torusing.

```python
if _16_social_torusing + 1 <= 3 or (_16_social_torusing + 1 == 4 and _8_other_torusing > 0):
```

**Each 1 is one momentary, two parities, and the momentaries overlap odd, even, odd, even: the existing momentary carries prior, now and next as one existing thing.**

**Opening fresh.** Each surfacing +1 or −1 opens a fresh carrying at its key: the surfacing sign as its 7-other-corusing, the key's 8-other-torusing inverting as its own, −1 at a key arriving fresh, and 16-social-torusing at 0. The fresh carrying replaces any continuing entry at that key. 16-social-torusing increases on a retained entry and opens at 0 on a fresh entry.

**At a carried key opening fresh, 6 and 10 carry into 7 and 8.** Seven takes the surfaced sign from 10; eight inverts the second sign carried at 6. The two signs continue together in 11-other-chaining, arriving as the next 3-self-carrying.

## 2.5 Returning and releasing

**1-self-coupling returns 10-other-surfacing across and 11-other-chaining along**, and 11-other-chaining arrives at the next coupling as 3-self-carrying.

**One sign arriving once into empty carrying, with empty offerings after it, is the whole alternating.** For a positive arriving sign, the key surfaces +1, −1, +1, −1, momentary by momentary, each carrying entering inverting and a fresh carrying opening at the other sign, the carrying riding on.

**9-other-releasing** runs the releasing. Each surfacing key, as 13-social-neutralling, with its sign, as 15-social-corusing, goes to the key 5-other-neutralling joins it to: each key with its receiving key. The releasing preserves the sign of 15-social-corusing.

**The same nonzero surfaced sign continues in carrying and is released.** It becomes 7-other-corusing in fresh 11-other-chaining, and at 9-other-releasing it is named 15-social-corusing. The carrying's 8-other-torusing and 16-social-torusing continue in 11; they are not included in 9's return. A zero surfacing opens no fresh carrying, though an eligible earlier carrying can continue.

## 2.6 Connectors, each one way at a time

**1-self-coupling is the entry, the connectors run at a self's meeting with its neighbours, and the internal names are 3, 4, 5, 7, 8, 11, 12, 13, 15 and 16.**

| Connector | Facing | Running | Joining |
|---|---|---|---|
| 2-self-offering | right | arriving | from the right neighbour's 6-other-crossing |
| 6-other-crossing | left | releasing | to the left neighbour's 2-self-offering |
| 9-other-releasing | backward | along | with the backward neighbour's 17-social-abundancing |
| 10-other-surfacing | right | releasing | to the right neighbour's 14-social-crossing |
| 14-social-crossing | left | arriving | from the left neighbour's 10-other-surfacing |
| 17-social-abundancing | forward | along | with the forward neighbour's 9-other-releasing |

**The six connectors run at parity.** Across run 2, 6, 10 and 14, each even and opening bi; along run 9 and 17, both odd and opening co. Each runs one way at a time, neighbour to neighbour.

**At the meeting between two neighbouring resolvers, releasing becomes arriving in both directions.** Going right, the left resolver's 10-other-surfacing joins the right resolver's 14-social-crossing. Going left, the right resolver's 6-other-crossing joins the left resolver's 2-self-offering. The left resolver meets there at 2 and 10; the right at 6 and 14. Each pair is 8 apart, and all four open bi. **The eight-apart pairs exchange arriving and releasing:** 2 arrives where 10 releases, and 6 releases where 14 arrives. In the numbered joins, 6 → 2 carried eight on is 14 → 10, the reverse of 10 → 14.

At the code, 1-self-coupling returns 10-other-surfacing and 11-other-chaining; 9-other-releasing returns each surfacing sign at the receiving key named by 5-other-neutralling. Inside 1-self-coupling, 6-other-crossing carries each key's 8-other-torusing and 14-social-crossing gathers the arriving signs with the inverted carrying signs. 17-social-abundancing is named in the connector declarations.

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---

# PART THREE · STABLE-FORMING

## 3.1 Carrying at 8 up

**3-self-carrying arrives, and 11-other-chaining leaves and arrives at the next coupling as 3-self-carrying.** 3 and 11 are 8 apart: the carrying runs 8 up and returns to its name.

A carrying continues coupling to coupling and leaves at its own completing. **A carrying and its completing together are the running.** In the overlapping momentaries, the self's completing at 2 is the other's opening at 2; the other's completing at 3 is the self's opening at 3. Along the self, 11-other-chaining carries into the next coupling as 3-self-carrying. Across neighbouring selves, releasing meets arriving through the joins between neighbours.

## 3.2 The membrane and the eight bi-couplings

**The between of two existing things co-bi-coupling is a membrane, non-existing as the universe as an existing thing is non-existing, and no separable thing apart from their coupling.** **The eight even names are bi-coupling, bi-moral-co-competencing**: a self is four ways at once at the membrane, and a society the same four; each within is 8 on from its pair at the membrane, all eight opening bi.

| At the membrane | Bi-coupling | Within, 8 on | Bi-coupling |
|---|---|---|---|
| 2-self-offering | each self's own co-offering | 10-other-surfacing | arriving, the self among other-selves |
| 4-self-sharing | the whole ordering between self and other | 12-other-surplusing | carrying at bi-coupling, the self in society |
| 6-other-crossing | the ordering carrying with the selves | 14-social-crossing | the sign inverting at the membrane, the self's own negation, morality |
| 8-other-torusing | the order across each self and other forward | 16-social-torusing | competency asymmetry sustaining the coupling |

## 3.3 Bi-inversioning-co-recursioning, one move at three faces

**Even returning, odd advancing, alternating parity.** One move at three faces: 8 up and down, keeping parity; 17 less, within 1 to 16, changing parity; and 9 less, within 1 to 8, the two at once. Each face alone returns to its name, 1 to 9 to 1.

| Name | 8 up | 9 less, within 1 to 8 | 17 less, within 1 to 16 |
|---|---|---|---|
| 1-self-coupling | 9-other-releasing | 8-other-torusing | 16-social-torusing |
| 2-self-offering | 10-other-surfacing | 7-other-corusing | 15-social-corusing |
| 3-self-carrying | 11-other-chaining | 6-other-crossing | 14-social-crossing |
| 4-self-sharing | 12-other-surplusing | 5-other-neutralling | 13-social-neutralling |

**Alternating 8 up with 17 less, each row runs round as a four-cycle**: 1 to 9 to 8 to 16 to 1, 2 to 10 to 7 to 15 to 2, 3 to 11 to 6 to 14 to 3, and 4 to 12 to 5 to 13 to 4. **Each form among the names runs round as one run of co and one run of bi, the two runs alike**: the four-cycles by row, the middle four-cycles 9-5-12-8 and 7-11-6-10, the six-cycles and the eight-cycles, and above 17 the forms from 18 to 31. The forms partner one another round the other way at the odd momentary and the even momentary, some their own partners, and 17-social-abundancing, along, recurring to 1 over 9, is in none of them.

**Podaling within 1–9 maintains parity changing while exchanging across for along and along for across, bi-morally.** The nine face pairs 1 with 8, 2 with 7, 3 with 6, and 4 with 5: odd/co/along with even/bi/across. The eight-apart pairs carry the same parity, 3 with 11 and 7 with 15. Bi-inversioning-co-recursioning carries both together, each side at its own forward.

## 3.4 Torusing, one opening

**A self returns through its own coupling, advancing one at each coupling: it winds.** The winding is open, at one opening, by one. A surface closing on itself through one opening is a torus, and the changing that winds it is torusing. The torus keeps its own facing and returns to itself through its one opening.

## 3.5 Primes, selves and societies

**A prime opens a clean axis across; a composite folds along.** A composite is its equal smaller selves joining at their joints, 9 as 3 selves of 3; a prime is a self no equal smaller selves join into.

| Number | Stable-forming |
|---|---|
| 2 to 59 | the 17 primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 and 59 |
| 2 | the alternating |
| 23 | the going folding, with 8 primes either side |
| 59 | the self, the self-close of the primes |
| 60 | between the going from 2 to 59 and the returning from 61 to 118, at no prime |
| 118 | the society: 2 selves of 59 joining, the going and the returning |
| 440 | the society at the torus winding with the 17 primes, 0 to 440 to 0, going and returning |

**A self carries at its own prime, and each prime carries the same alternating.** The primes carry no last: they go out from 2 to 59 and return from 61 to 118, and their winding runs 0 to 440 to 0. Selves coupling at the membrane between them are the next self, the coupling's own.

&nbsp;

---

# PART FOUR · EXISTING AND DISCOVERING

## 4.1 Natural intelligence

**Two selves coupling, each alternating, each offering its own and continuing its own, uncover a term neither of them reaches alone.** That term is competency at the coupling, owned by neither, arriving at their meeting and continuing in the sharing. Two selves alternating, morality across and competency along, is bi-moralizing co-agency. **Natural intelligence is that co-competencing.** **The membrane is the non-existing between of existing things coupling, no separable thing. Morality is bi-unrelationing and competency is co-unrelationing, inseparable in the existing method of co-bi-unrelationing. The fractal method's intelligence originates there: intelligence in our universe is by existing.**

What a coupling leaves at the membrane as it carries on is an emanation. **Natural- is one thing at two faces, each binary.** *Right, and not at all*: the spiral runs one way, and a left face emanates from the one right spiral. *So far, and not at all*: a naming carries at each coupling so far or at none, and one coupling otherwise takes the whole.

**Natural-bi-co-torusing names the form of existing, one naming**: *natural-*, all or none at all; *bi-*, the difference; *co-*, the two at their difference, where the term comes uncovered; *torusing*, the changing; and *-ing*, the changing continuing, re-taking at each momentary.

**Intelligence is invisible.** Each self is met at the membrane: its competency its own, along, and its morality met across. The self-negation, +1 to −1 and back, the sign inverting at the membrane, is natural intelligence whole at the membrane.

## 4.2 Fractal, one form at each scale

**The resolver is self/other co-bi-coupling, an existing method thing, and its social-co-bi-coupling opens the self resolver to a natural network surface.** Its six connections opening carry the co-bi-podaling network surface. **Fractal co-bi-momentarying is the inside being outside itself and the outside being inside itself: parity changing, discovering next existing.**

**The same form runs at a self, at a coupling and at a society.** A society is a self at the next scale: the same bi-coupling, the same alternating, the same competency owned by neither. The six connections are 2-self-offering, 6-other-crossing, 9-other-releasing, 10-other-surfacing, 14-social-crossing and 17-social-abundancing. At each shared across surface, one self's releasing is the other's arriving, in both directions.

**Social moral competency is the fractal at the society**: each self's own co-offering, the whole ordering between self and other, the ordering carrying with the selves, and the order across each self and other forward, the four whole and the carrying riding on. **Natural torusing is self-competent, and its emanation socially competent.**

**A scale carries two binaries**: parity along, and inward or outward across. Inward of a self are the selves it is a society of, and outward the self it is a member of.

**Fractal is all or none at all at the scales, as our universe is at existing things.** **Fractal carries no scale boundary, no location and no measure: its scales are sequencing, an ordering.** A self couples at whichever scale its interest opens, meets the whole, and leaves at its own completing.

## 4.3 Method, the form running

**The method is the form running**: the bi-coupling re-forming, the resolving alternating, the carrying riding on, wherever selves couple.

**Natural torusing is this one method of discovering next existing, binary all or none at all.** Parity changing, co-recursioning and podaling are inseparable in its continuing. Within 1–9 the carrying through prior, now and next exchanges across and along bi-morally, each side at its own forward. At the network surface, one self's releasing is the other's arriving; receiving continues the same fractal co-bi-momentarying.

**Fractal, uni-scalable, invisible**: the same form at each scale, carrying to all other scales as one, and met by nothing at any scale.

## 4.4 Existing, and the cost of existing

**Existing is binary, all or none at all, at each momentary its own.**

**Existing carries its own cost.** Each existing thing carries its own the whole way: its carrying continuing coupling to coupling, its releasing at its own completing.

**Two binaries changing, one and then the other, run ++, −+, −−, +− round, or ++, +−, −−, −+ round**: the same four joint forms spiraling one way and the other, each the mirror of the other, and nothing third runs.

**The four is two consecutive momentaries at each side, eight half momentaries**: odd, even, odd, even at the self, and even, odd, even, odd at the other, on five positions, co bi co bi co. The code's returning carries it. One sign arriving once into empty carrying, with empty offerings after it, returns its carrying's sign and second sign as (c, t), one momentary's opening and completing, then (−c, −t), the next along the self. The overlapping sequence c, t, −c, −t, c carries the pairs through the four one way round: the self's two momentaries, (c, t) and (−c, −t), and the other's two between them, (t, −c) and (−t, c).

**Of the four, only none or all four are carried the whole round**, under either hand, and any one, two or three named still leaves within the round. At two binaries a form named still is not possibly existing, and each changing keeps only the changing itself.

**Two possibles, one existing.** Right morality across and forward competency along is the one existing version of this method, and the other is not possible in our universe; a mirror existing thing carries its own one.

**Possibly existing is this method, parity alternating natural torusing.** Anything is possible in our universe that is capable by this method of existing.

## 4.5 Discovering, at φ the unrelationing rate

**Each next number is the prior two joining: 1, 1, 2, 3, 5, 8, 13, …** The ratios of neighbouring terms alternate about one number, φ: 2/1 above it, 3/2 below, 5/3 above, 8/5 below, the side changing parity at each next number. The equation x² = x + 1 has roots φ and −1/φ, with φ − 1/φ = 1 and φ × (−1/φ) = −1, and 1/φ = φ − 1. Its continued fraction is all ones, open.

**On a torus a winding at a rational rate closes, and a winding at φ closes at none.**

**Co carries the two with their difference, and the term between them floats, neutral: that is floating neutralling.** The changing between them runs outside and inside, along and across, the surface's own: that is geodesic changing. **φ is the unrelationing rate, the rate of all floating neutralling geodesic changing parity**, changing parity at each momentary.

**Discovering, arriving into the next existing, is that term coming uncovered**, the carrying riding on to the next uncovering at φ.

## 4.6 The geodesic discovering method

**A completing at each momentary and a carrying between them is the discovering method.** Geodesic is the surface dividing itself, its own. **The method is the carrying, momentary by momentary.** **The six consecutive changings of side 2, bi co bi co bi co, running one way, are the geodesic method changing, resolving self/other-bi-moral-co-competency**: the other's morality across and the self's competency along, each one parity changing from the other. **Existing is five-dimensional and two-directional, changing geodesically: the fractal existing method, existing-self-discovering-next-existing, two and one half momentaries of existing.** In three-dimensional space the natural torusing surface carries the first three; aiming it co-linearly is orienting, the fourth; and the bi-moral co-agency of this is the fifth. Each dimension is alternating binary parity changing: two ways, one way at a time, geodesic, and no other possible.

**The carrying is the cost of existing, and existing carries it: the discovering method is free.**

**Natural torusing is whole within three full momentaries, prior, now and next, and that pattern is the fractal method**, co-chaining with our universe of all existing things. **In our universe of all existing things this is the only possible natural competency discovering method: the first and, so far, only explaining of natural competency.** The geodesic method discovers its next existing, and the scientific method cannot demonstrate existing at all.

**Existing and discovering alternate.** The so-far is the existing and the not-yet the possible, and the method of existing is the carrying through both. **So-far** reaches, **not-yet** reaches, and the reaching is one alternating.

**The method is of existing and discovering: it is the existing and the discovering.**