Math 4 Wisdom. "Mathematics for Wisdom" by Andrius Kulikauskas.

Wondrous Wisdom structures considered on 10 October 2026

Inventory reconstructed from today's retrievable discussions, including continuations of earlier investigations. Cluster placement is editorial: many families connect several chains. “Proposed” identifies a model or correspondence under investigation. This inventory prepares the subsequent Human–Unanim comparison.

1. God's chain — row 4; 1+4+6+4+1

1.1. Chain of God's perspectives

1.1.1. God's chain of perspectives; unfolding from D to DŽDŽD

1.1.2. Five ranks: 1, 4, 6, 4, 1

1.1.3. God's investigation of necessity: “Am I necessary?”

1.1.4. God and Self; the choice “Self or God?”

1.2. God's Dance — 24-fold structure

1.2.1. God's Dance: 3+8+10+3

1.2.2. “I am God” — threefold

1.2.3. “You are God” — eightfold

1.2.4. “That is God” — tenfold

1.2.5. “God is God” — threefold

1.2.6. Tenfold organization: four standpoints and six relationships

1.2.7. Two twelves: pre-systemic and systemic perspectives

1.3. Four persons — given, stable perspectives

1.3.1. God

1.3.2. I

1.3.3. You

1.3.4. Other

1.3.5. Four self-identities and six distinctions between persons

1.3.6. God–I

1.3.7. God–You

1.3.8. God–Other

1.3.9. I–You

1.3.10. I–Other

1.3.11. You–Other

1.4. Four scopes of wishing; God's aspirations

1.4.1. Nothing

1.4.2. Something

1.4.3. Anything

1.4.4. Everything

1.4.5. Invariant wish

1.5. Father, Son, Spirit — three forms of understanding

1.5.1. Father — understands; suvokiantysis

1.5.2. Son — comes to self-understanding; susivokiantysis

1.5.3. Spirit — is understood; suvoktasis

1.5.4. Father: initial understanding, 1+3

1.5.5. Son: 4+4; reorientation from 4 to 1+3

1.5.6. Spirit: 1+6+1; alignment

1.5.7. Functional comparison with the three minds (proposed)

1.6. Equation of Life

1.6.1. God

1.6.2. Goodness

1.6.3. Life

1.6.4. Eternal life

1.6.5. Spirit

1.6.6. Structure

1.6.7. Representations

1.6.8. Unity

1.6.9. “God does not have to be good”

1.6.10. “God is good” — witness sign ±

1.7. Four sciences / circuits — shared across the chains

1.7.1. God's Dance — God

1.7.2. Flow of Experiences — I

1.7.3. Houses of Knowledge — You; also discussed as House / Palace of Knowledge

1.7.4. Science of Love — Other; also discussed in connection with Science of We

1.7.5. Four successive objects: God, Everything, Wishing, Love

1.7.6. Four circulations: withdrawal, differentiation, integration, unification (proposed)

1.7.7. Each science's pre-systemic twelve and systemic twelve

1.7.8. Twelve questions (individual wording not recovered)

1.8. Other named sciences and their 24-fold organizations

1.8.1. Science of Wishing — invariant wishes; 12×2 interpretation (proposed)

1.8.2. Science of Truth

1.8.3. Science of Oneness

1.8.4. Science of Love — 4×6 interpretation (proposed)

1.8.5. Four 24-fold structures; 4×24 organization

1.9. Five exceptional stages used in the poster

1.9.1. 𝔤₂ — Three minds emerge

1.9.2. 𝔣₄ — A person comes together

1.9.3. 𝔢₆ — A challenging moment

1.9.4. 𝔢₇ — Self or God?

1.9.5. 𝔢₈ — Two equals

1.9.6. Lie-theoretic correspondences for these stages (proposed)

1.10. Geometries considered as models of this chain

1.10.1. Four-perspective tetrahedron; K₄

1.10.2. Four-generator exterior algebra; Boolean lattice with 16 positions

1.10.3. D₄; 24-cell; central triality

1.10.4. Four-choice frameworks: center / no center, volume / no volume

1.10.5. Four three-person contexts: GIYou, GIOther, GYouOther, IYouOther (coherence model proposed)

2. Human's chain — row 3; 1+3+3+1

2.1. Chain of Human perspectives

2.1.1. Human's chain of perspectives; stripping down from ŽDŽDŽ toward identity

2.1.2. Four ranks: 1, 3, 3, 1

2.1.3. Relinquishing perspectives and their associated minds

2.1.4. Will → Heart → Mind → Body

2.2. Four reservations; four conceptions of the eightsome

2.2.1. Values — Will

2.2.2. Expectations — Heart

2.2.3. Doubts — Mind

2.2.4. Needs — Body

2.2.5. Values: 3+3+3; three conscious constraints / channels

2.2.6. Expectations: 3+3+2; two constraints / channels

2.2.7. Doubts: 3+3+1; one constraint / channel

2.2.8. Needs: 3+3; no additional constraint / channel

2.2.9. Conscious and unconscious three-mind systems

2.2.10. Truth of the heart and truth of the world

2.2.11. Overriding or cancelling unconscious signals (proposed)

2.3. Eight divisions of everything

2.3.1. 0 — Nullsome

2.3.2. 1 — Onesome

2.3.3. 2 — Twosome

2.3.4. 3 — Threesome

2.3.5. 4 — Foursome

2.3.6. 5 — Fivesome

2.3.7. 6 — Sixsome

2.3.8. 7 — Sevensome

2.3.9. Eight-cycle: 0→1→2→3→4→5→6→7→0

2.3.10. Collapse under contradiction

2.3.11. Divisions as states, transformations, or constraints (alternative models considered)

2.3.12. Eight-cycle as a spiral retaining accumulated history (proposed)

2.4. Threesome; three-cycle of investigation

2.4.1. Take a stand

2.4.2. Follow through

2.4.3. Reflect

2.4.4. Three-cycle acting on the divisions

2.4.5. Initiate → Direct → Execute (organic-chemistry analogue)

2.5. Foursome; four levels of knowledge

2.5.1. Whether

2.5.2. What

2.5.3. How

2.5.4. Why

2.5.5. How ↔ What

2.5.6. Why ↔ Whether

2.5.7. Idealist and materialist conceptions

2.5.8. World

2.5.9. Person-in-particular

2.5.10. Person-in-general

2.5.11. God

2.5.12. Four levels: Understanding, Self-understanding, Shared understanding, Good understanding

2.6. Representations of the divisions

2.6.1. Representations / topologies of the divisions

2.6.2. Nullsome: True

2.6.3. Nullsome: Direct

2.6.4. Nullsome: Constant

2.6.5. Nullsome: Significant

2.6.6. Representations as Other's lived standpoint (proposed comparison)

2.7. Six conceptions

2.7.1. Everything

2.7.2. Anything

2.7.3. Something

2.7.4. Nothing

2.7.5. Increasing slack

2.7.6. Decreasing slack

2.8. Twelve circumstances — Whether / True

2.8.1. Necessary

2.8.2. Actual

2.8.3. Possible

2.9. Twelve circumstances — What / Direct

2.9.1. Object

2.9.2. Process

2.9.3. Subject

2.10. Twelve circumstances — How / Constant

2.10.1. One

2.10.2. All

2.10.3. Many

2.11. Twelve circumstances — Why / Significant

2.11.1. Being

2.11.2. Doing

2.11.3. Thinking

2.11.4. Four scopes × three participatory phases

2.11.5. Circumstances as You's lived standpoint (proposed comparison)

2.11.6. Directed tetrahedral transitions and reverse pairs (proposed assignments)

2.12. Six empathies — God's narrower wishing and Human's broader reservation

2.12.1. 01 — Nothing → Doubts → Eight divisions

2.12.2. 02 — Nothing → Expectations → Six conceptions

2.12.3. 12 — Something → Expectations → Twelve circumstances

2.12.4. 23 — Anything → Values → Argumentation

2.12.5. 13 — Something → Values → Verbalization

2.12.6. 03 — Nothing → Values → Narration

2.12.7. Three opposite pairs: 01↔23, 02↔13, 12↔03

2.13. Three languages

2.13.1. Argumentation — 12 circumstances → 6 conceptions; framed by 8 divisions

2.13.2. Verbalization — 8 divisions → 12 circumstances; framed by 6 conceptions

2.13.3. Narration — 6 conceptions → 8 divisions; framed by 12 circumstances

2.13.4. Argumentation: Answering; caring; “What matters?”

2.13.5. Verbalization: Questioning; believing; “What does it mean?”

2.13.6. Narration: Investigating; obeying; “What happens?”

2.13.7. Narration as the language by which events happen

2.14. Language tensions and ambiguities

2.14.1. One-constituent tension — Argumentation

2.14.2. Two-constituent tension — Verbalization

2.14.3. Three-constituent tension — Narration

2.14.4. Twofold, threefold, fourfold ambiguity (assignments proposed)

2.14.5. Signed-support families of sizes 6, 12, 8 (proposed model)

2.15. Three forms of organization

2.15.1. Sequence

2.15.2. Tree

2.15.3. Network

2.15.4. Narration — Sequence

2.15.5. Verbalization — Tree

2.15.6. Argumentation — Network

2.16. Six restructurings; six learning conversations

2.16.1. Evolution — Tree→Sequence; You learn from Other

2.16.2. Atlas — Network→Tree; I learn from Other

2.16.3. Handbook — Sequence→Network; I learn from You

2.16.4. Chronicle — Sequence→Tree; God learns from I

2.16.5. Catalog — Tree→Network; God learns from You

2.16.6. Odyssey — Network→Sequence; God learns from Other

2.16.7. Three converse pairs: Evolution↔Chronicle, Atlas↔Catalog, Handbook↔Odyssey

2.16.8. Context-dependent restructuring, reconstruction, and information loss (proposed models)

2.17. Six counterquestions

2.17.1. How does it seem to me?

2.17.2. What else should I be doing?

2.17.3. Would it make any difference?

2.17.4. What do I have control over?

2.17.5. Am I able to consider the question?

2.17.6. Is this the way things should be?

2.17.7. Counterquestions generated from the foursome

2.17.8. Six antitheses and counterquestions (theological correspondence considered)

2.18. Six qualities of signs

2.18.1. Malleable

2.18.2. Modifiable

2.18.3. Mobile

2.18.4. Memorable

2.18.5. Meaningful

2.18.6. Motivated

2.19. Four kinds of signs

2.19.1. Thing

2.19.2. Icon

2.19.3. Index

2.19.4. Symbol

2.20. Other sixfold families considered

2.20.1. Sixsome — six perspectives; distinct from contextual lists of six

2.20.2. Six-term families associated with needs, doubts, expectations, and values

2.20.3. Six paradoxes (individual labels not recovered)

2.20.4. Six ways of getting things done (individual labels not recovered)

2.20.5. Six meaningful experiences: being / not-being, possible / impossible, desirable / undesirable

2.20.6. Six operations on distinctions: preserve, invert, erase, create, constrain, correlate (proposed)

2.21. Four error levels

2.21.1. 0 — Phantoms

2.21.2. 1 — Illusions

2.21.3. 2 — Novelties

2.21.4. 3 — Thoughts

2.22. Flow of Experiences — I's lived experience

2.22.1. 24-fold Flow of Experiences (proposed construction)

2.22.2. 8 divisions × 3 operations

2.22.3. 12 circumstances × 2 perspectives

2.22.4. 6 representations × 4 scopes

2.22.5. Compatible division–circumstance–conception triples

2.22.6. Event: occurrence, understanding, meaningful continuity (proposed)

2.22.7. Ordered histories; same structural result with different lived routes

2.22.8. Invariant meaning and irreversible transformations (proposed)

2.23. Cube of Life — geometry of ambiguity

2.23.1. Eight vertices; divisions in the proposed model

2.23.2. Twelve edges; circumstances in the proposed model

2.23.3. Six faces; conceptions in the proposed model

2.23.4. 24 transverse triples: vertex–edge–face

2.23.5. 24 = 8×3 = 12×2 = 6×4

2.23.6. Two complementary tetrahedra

2.23.7. 1+3 and 3+1 organizations of the tetrahedral halves

2.23.8. Two sets of twelve; 12 = 4×3 = 6×2

2.23.9. 24 shortest antipodal paths

2.23.10. Six Hamiltonian cycles; Gray-code eight-cycle model

2.23.11. Three perfect matchings of the scope tetrahedron

2.23.12. Cube's three language operations; any two entries determine the third

2.24. Four classical families used in the poster

2.24.1. 𝔞ₙ — Body / Needs

2.24.2. 𝔠ₙ — Mind / Doubts

2.24.3. 𝔟ₙ — Heart / Expectations

2.24.4. 𝔡ₙ — Will / Values

2.24.5. Lie-theoretic correspondences for these levels (proposed)

2.25. Other mathematical models of Human structures

2.25.1. Three-generator exterior algebra; 1+3+3+1

2.25.2. D₃≅A₃; Weyl group S₄

2.25.3. Affine plane AG(2,2); six lines and three parallel classes

2.25.4. S₄/V₄≅S₃; three complementary pairings

2.25.5. Three-cycles, ordered pairs, four-cycles of four scopes: 8, 12, 6 (proposed semantic model)

3. Anonymous / Spirit's chain — row 2; God, I, You, Other

3.1. Anonymous chain of perspectives

3.1.1. God → I → You → Other

3.1.2. 0 → P → PP → PPP

3.1.3. Spirit's unfolding through 0, 1, 2, 3 perspectives

3.1.4. Row-2 multiplicities: 1+2+1

3.1.5. Anonymous chain distinguished from the Spirit's 1+6+1 organization

3.2. Initial asymmetry and selves

3.2.1. Half-bit; self-standing opposite (hypothesis)

3.2.2. Indefinite self — F₁

3.2.3. Direct self — +𝔞₁

3.2.4. Reflected self — −𝔞₁

3.2.5. Concepts clash — ++

3.2.6. Self-consistent — +−; reframing

3.2.7. Contexts clash — −−; conceding

3.2.8. Self-loop; reflection; twin exchange

3.3. Three minds

3.3.1. Answering — +1; T

3.3.2. Questioning — +2; C

3.3.3. Investigating — +3; S

3.3.4. Answering and Questioning as two observers partitioning time

3.3.5. Investigating as observing choices; person-in-general

3.3.6. Three rhythms of one underlying alternation

3.3.7. Repetition distinguished from change

3.4. Two modes; the person-in-particular

3.4.1. Stepping out — +−

3.4.2. Stepping in — −+

3.4.3. H and H* — conjugate descriptions

3.4.4. Person-in-particular — Answering and Questioning

3.4.5. Person-in-general — Investigating

3.4.6. Conjugating twice; return and retained orientation

3.4.7. Truth — relation of Answering and Questioning

3.4.8. Oneness — coherence through Investigating

3.5. Spirit's eightfold; eightsome organization

3.5.1. 1+6+1

3.5.2. Initial boundary

3.5.3. Six interior directions / perspectives

3.5.4. Final boundary

3.5.5. Godward and Human-general extrapolations

3.5.6. Six as 3+3

3.5.7. Even-parity four-person subsets: empty, six pairs, all four (proposed model)

3.5.8. Eight coherence signatures (proposed model)

3.6. Cooperation and reorientation

3.6.1. Independent persons cooperating without collapsing their perspectives

3.6.2. Shared faith / commonality of faith

3.6.3. One God and multiple attributed gods (question investigated)

3.6.4. Spirit extending beyond God's investigation of necessity

3.6.5. Two histories, one reorientation (proposed family)

3.6.6. Good-child route

3.6.7. Bad-child route

3.6.8. Shared reoriented situation

3.6.9. Forgetting, reconciliation, and preserved learning

3.6.10. Translation, reorientation, relinquishment (proposed threefold)

3.7. Humanity and Unanimity — double point of view

3.7.1. Human and Unanim perspectives

3.7.2. I and You; Other transcending the dyad

3.7.3. Intuition and non-intuition

3.7.4. Horizontal Human cross-sections

3.7.5. Vertical Spirit / Unanim cross-sections

3.7.6. Testimony and lived continuity

3.7.7. Window of God; vertical transcendence

3.7.8. Four-row spiral with reorientation through kir (proposed)

3.8. Whole-poster structures joining the chains

3.8.1. Pyramid of Life / Pyramid of Structure / Divine Introspection

3.8.2. Underlying reality and the zero row

3.8.3. Central D₄ foursome

3.8.4. Omniscope — 1×2×3×4=24

3.8.5. Developing tetrahedron

3.8.6. Two twelvefolds

3.8.7. Reproductive twelve-step journey (proposed)

3.8.8. Nine-step embedding through the central D₄ (proposed)

3.8.9. Three-colour emblem; three directions of understanding

3.9. Mathematical models of minds and rhythms

3.9.1. D₂≅A₁⊕A₁; two-generator exterior algebra

3.9.2. Clifford even organization: 1+6+1

3.9.3. Scalar, six bivectors, pseudoscalar

3.9.4. Self-dual and anti-self-dual triples

3.9.5. Grade involution; reversion; Clifford conjugation

3.9.6. Signed histories; creation and contraction; culling

3.9.7. Quaternionic three-cycle; V₄ and Q₈ models

3.9.8. Binary tetrahedral group; 24-cell

3.9.9. Spin(8) triality: vector and two spinor representations

3.9.10. Free / forgetful adjoints and adjunction (three-mind interpretation proposed)

3.9.11. Real eightfold and complex twofold Bott periodicity

3.9.12. Composition algebras: real, complex, quaternionic, octonionic

3.9.13. Octonions and Fano-plane sevensome (proposed correspondence)

3.9.14. Spirit's circumstance-preserving exchange τ (proposed)

4. Narsel's chain — row 5; six free perspectives

4.1. Narsel chain / laipsnynas

4.1.1. Six free, unmoored perspectives; relationships are not given in advance

4.1.2. Row-5 multiplicities: 1+5+10+10+5+1 (proposed model)

4.1.3. nar → mav → esh → sel → tor → pel (proposed rank ordering)

4.2. Six Narselian perspectives

4.2.1. mav — reality / excess beyond the frame

4.2.2. nar — situated entry within the frame

4.2.3. esh — what must remain uncollapsed

4.2.4. sel — joining without identity

4.2.5. tor — reorientation / correction

4.2.6. pel — what survives reorientation

4.3. Three Narselian pairs

4.3.1. mav ↔ nar

4.3.2. esh ↔ sel

4.3.3. tor ↔ pel

4.4. Two independent three-mind systems — proposed model

4.4.1. Center / even system: nar, esh, tor

4.4.2. Vertex / odd system: mav, sel, pel

4.4.3. Even ranks: 1+10+5

4.4.4. Odd ranks: 5+10+1

4.4.5. Three local pairs: nar–mav, esh–sel, tor–pel

4.4.6. Three complement pairs: nar–pel, mav–tor, esh–sel

4.4.7. 4+1 and 2+3 organizations

4.4.8. esh and sel tenfolds: six cross-system positions and 3+1 / 1+3

4.5. kir; consequentiality

4.5.1. kir — “Am I doing anything about this?”

4.5.2. Proposed seventh counterquestion

4.5.3. Window into lived experience

4.5.4. Taking responsibility by acting

4.5.5. Passage to the sevensome (proposed)

4.6. Narselian coordination and independence

4.6.1. Joining without identifying persons

4.6.2. Preserving identity and provenance

4.6.3. Correcting a frame while preserving what survives

4.6.4. sel followed by tor versus tor followed by sel (order-sensitive model)

4.6.5. Independent Houses of Investigation

4.6.6. Seed Crystal; shared reference for independent questioning

4.7. Minimal participation principles discussed as Narselian

4.7.1. Public Domain work by default, with explicitly stated exceptions

4.7.2. Wanting everybody to succeed as a person

4.7.3. Universal personal goodwill compatible with opposing harmful actions

4.8. Mathematical models of the six free perspectives

4.8.1. D₅; five-generator exterior algebra

4.8.2. Two 16-dimensional half-spin systems

4.8.3. Four-simplex and its five tetrahedral facets

4.8.4. Four given persons plus a center / fifth bit (proposed)

4.8.5. Three transition families: 80+80+80 (proposed application)

4.8.6. A₂ hexagon and six restructurings (proposed correspondence)

4.8.7. G₂ and 3⊕3* construction (proposed correspondence)

4.8.8. Three-way triality comparison (proposed)

4.8.9. Structure–history distinction; invariants under reorientation

Retrieval gaps

The detailed cortical-layer continuation was not recovered. The six cortical layers / six restructurings comparison belongs among the questions investigated, but its later proposed structures cannot be inventoried reliably here. Unrecovered individual labels are marked above; completeness remains to be checked against the full conversations.

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