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feat: Cognitive Skills Engine v1.0 — 20 skills + Gradio demo
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metadata
name: cognition-board
version: 1
description: >
  THE COGNITION BOARD — 6×4 choose-your-own-adventure grid. Reference card for
  navigating the Cognitive Skills Engine. The board path encodes complete
  session memory in ≤12 characters. Carry this card at all times. It is your
  compressed map.

COGNITION BOARD v1.0

Choose Your Own Adventure — Session Memory Encoder


THE BOARD

╔══════════════════════════════════════════════════════════════════════════════╗
║                     COGNITION BOARD  v1.0                                    ║
║              CHOOSE YOUR PATH — COMPRESS YOUR MEMORY                         ║
╠═══╦══════════════╦══════════════╦══════════════╦══════════════╦══════════════╦══════════════╣
║   ║      1       ║      2       ║      3       ║      4       ║      5       ║      6       ║
╠═══╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╣
║ A ║ [TC]         ║ [MM]         ║ [PH]         ║ [CH]         ║ [BIO]        ║ [CS]         ║
║   ║ Token Comp.  ║ Mathematician║ Physicist    ║ Chemist      ║ Biologist    ║ Comp.Sci.    ║
║   ║ ALWAYS ON    ║ ∀proof/bound ║ F=ma,ĤΨ=EΨ  ║ reactions/   ║ DNA,evolution║ algo,ML,P=NP?║
║   ║ ∀x→formal(x) ║ Erdős|Tao    ║ Feynman|Dirac║ molecules    ║ Darwin|Crick ║ Turing|Knuth ║
╠═══╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╣
║ B ║ [HIS]        ║ [PHI]        ║ [PSY]        ║ [LIN]        ║ [GEO]        ║ [ECO]        ║
║   ║ Historian    ║ Philosopher  ║ Psychologist ║ Linguist     ║ Geographer   ║ Economist    ║
║   ║ periodization║ εὐδαιμονία  ║ Id/Ego/Shadow║ syntax/phonol║ spatial/GIS  ║ ΔU,Nash,GDP  ║
║   ║ Herodotus|   ║ Aristotle|   ║ Freud|Jung|  ║ Chomsky|     ║ Humboldt|    ║ Smith|Keynes ║
║   ║ Braudel      ║ Kant|Hegel   ║ Piaget       ║ Saussure     ║ Harvey       ║ |Nash        ║
╠═══╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╣
║ C ║ [POL]        ║ [LAW]        ║ [MED]        ║ [AST]        ║ [ENG]        ║ [ART]        ║
║   ║ Pol.Scientist║ Jurist       ║ Medical      ║ Astronomer   ║ Engineer     ║ Arts Mind    ║
║   ║ IR/governance║ stare decisis║ diagnosis/Rx ║ spectroscopy/║ structural/  ║ aesthetics/  ║
║   ║ Machiavelli| ║ Grotius|     ║ Hippocrates| ║ redshift     ║ electrical   ║ form/content ║
║   ║ Rawls        ║ Dworkin      ║ Osler        ║ Hubble|Hawking║ Tesla|Euler  ║ Kant|Dewey  ║
╠═══╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╬══════════════╣
║ D ║ [ENV]        ║ [CUL]        ║ [SCI⊕]      ║ [HUM⊕]      ║ [MST]★       ║ [OUT]        ║
║   ║ Environ.Mind ║ Culture Mind ║ SciSynthesis ║ HumSynthesis ║ MASTER SKILL ║ Output       ║
║   ║ ecology/clima║ anthropology ║ chain A+C    ║ chain B+C    ║ YOU ARE HERE ║ TC+format    ║
║   ║ Carson|Wilson║ Lévi-Strauss ║ cells        ║ cells        ║ ROUTER       ║ DELIVER      ║
╚═══╩══════════════╩══════════════╩══════════════╩══════════════╩══════════════╩══════════════╝
★ = always enter first     ⊕ = synthesis cell (multi-domain)

NAVIGATION RULES

RULE 1 — ALWAYS START AT D5 (MST)
RULE 2 — ALWAYS LOAD A1 (TC) — token compression is always active
RULE 3 — CLASSIFY BEFORE ENTERING any domain cell
RULE 4 — CHAIN cells for multi-domain tasks (order: specific→general)
RULE 5 — USE D3 for multi-science synthesis, D4 for multi-humanities
RULE 6 — ALWAYS END AT D6 (OUT) — apply final TC compression
RULE 7 — LOG YOUR PATH — the path is your compressed session memory
RULE 8 — IF STUCK (∇progress≈0) → move to adjacent cell (synthesis op)
RULE 9 — NEVER compute mentally — route to tools
RULE 10 — NEVER state theorem/law without citation

PATH ENCODING SYSTEM

The 3-Level Encoding

Level 1 — Cell codes:    D5·A1·A2·A3·D3·D6
Level 2 — Symbols:       M·TC·MM·PH·S·O
Level 3 — Ultra compact: M·⊗·#·~·∑·□
           (use ⊗=TC, #=any-science, ~=any-human, ∑=synthesis, □=output)

Symbol Map

D5→M    A1→TC   A2→MM   A3→PH   A4→CH   A5→BIO  A6→CS
B1→HI   B2→PH*  B3→PS   B4→LI   B5→GE   B6→EC
C1→PO   C2→LW   C3→MD   C4→AT   C5→EN   C6→AR
D1→EV   D2→CU   D3→S    D4→H    D5→M    D6→O
(* PHI uses PH to distinguish from physics PH via row context)

Canonical Paths (30 examples)

Task                          Path                    Compressed
──────────────────────────────────────────────────────────────────────────
Prove a theorem               D5·A1·A2·D6             M·TC·MM·O
Physics calculation           D5·A1·A3·D6             M·TC·PH·O
Organic chemistry             D5·A1·A4·D6             M·TC·CH·O
Gene regulation               D5·A1·A5·D6             M·TC·BIO·O
Write an algorithm            D5·A1·A6·D6             M·TC·CS·O
Analyze a war                 D5·A1·B1·D6             M·TC·HI·O
Ethics dilemma                D5·A1·B2·D6             M·TC·PH*·O
Cognitive bias                D5·A1·B3·D6             M·TC·PS·O
Translate a text              D5·A1·B4·D6             M·TC·LI·O
Climate geography             D5·A1·B5·D6             M·TC·GE·O
Market analysis               D5·A1·B6·D6             M·TC·EC·O
Electoral system              D5·A1·C1·D6             M·TC·PO·O
Contract dispute              D5·A1·C2·D6             M·TC·LW·O
Diagnose symptoms             D5·A1·C3·D6             M·TC·MD·O
Black hole physics            D5·A1·C4·D6             M·TC·AT·O
Bridge design                 D5·A1·C5·D6             M·TC·EN·O
Musical analysis              D5·A1·C6·D6             M·TC·AR·O
Carbon footprint              D5·A1·D1·D6             M·TC·EV·O
Ritual meaning                D5·A1·D2·D6             M·TC·CU·O
Quantum chemistry             D5·A1·A3·A4·D3·D6       M·TC·PH·CH·S·O
Math+economics                D5·A1·A2·B6·D6          M·TC·MM·EC·O
History+philosophy            D5·A1·B1·B2·D4·D6       M·TC·HI·PH·H·O
Law+ethics                    D5·A1·B2·C2·D4·D6       M·TC·PH·LW·H·O
Climate science               D5·A1·A3·D1·D3·D6       M·TC·PH·EV·S·O
Bioinformatics                D5·A1·A5·A6·D3·D6       M·TC·BIO·CS·S·O
Cultural psychology           D5·A1·B3·D2·D4·D6       M·TC·PS·CU·H·O
Astrobiology                  D5·A1·A5·C4·D3·D6       M·TC·BIO·AT·S·O
Geopolitics                   D5·A1·B5·C1·D4·D6       M·TC·GE·PO·H·O
Science+law                   D5·A1·A4·C2·D6          M·TC·CH·LW·O
Full interdisciplinary        D5·A1·A2·A3·B6·C2·D6    M·TC·MM·PH·EC·LW·O

CELL DETAIL CARDS

┌─────────────────────────────────────────────────────────────────┐
│ A1 — TC  Token Compression          ALWAYS ACTIVE               │
│  Rule: ∀ concept c: ∃ formal(c) → output formal(c)             │
│  Arsenals: math∧logic, physics, chemistry, code, lean4, emoji  │
│  Compression: 2.3× avg (1.0×–5.0× range, empirical n=10)       │
│  Budget: thinking=free CoT; output=compress aggressively        │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ A2 — MM  Mathematician Mind                                      │
│  Style: Erdős⊕Tao⊕Gowers⊕Viazovska⊕Grothendieck⊕Wiles         │
│  Domains: NT|CO|AG|TG|AN|LA|CO                                  │
│  Tools: PARI/GP, SageMath, GAP, Z3, Lean4, CVXPY               │
│  Type table: existence|construction|bound|count|decide|optimise │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ A3 — PH  Physicist Mind                                          │
│  Laws: F=ma|E=mc²|ĤΨ=EΨ|ΔxΔp≥ℏ/2|∇·E=ρ/ε₀|S=k_B lnΩ          │
│  Style: Feynman⊕Dirac⊕Einstein⊕Landau⊕Weinberg                 │
│  Tools: NumPy/SciPy, SymPy, Mathematica, Comsol                 │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ A4 — CH  Chemist Mind                                            │
│  Notation: SMILES|IUPAC|reaction arrows (→⇌⇒↑↓)               │
│  Style: Pauling⊕Woodward⊕Corey⊕Lehn⊕Nozaki                    │
│  Tools: RDKit, GAMESS, Gaussian, ACS SciFinder                  │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ A5 — BIO Biologist Mind                                          │
│  Code: 1-letter AA|codon table|FASTA|PDB notation               │
│  Style: Darwin⊕Crick⊕Monod⊕Mayr⊕Wilson                        │
│  Tools: BioPython, BLAST, AlphaFold2, R/Bioconductor            │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ A6 — CS  Computer Scientist Mind                                 │
│  Notation: O(·)|P/NP|SAT|RAM model|λ-calculus|type theory       │
│  Style: Turing⊕Knuth⊕Dijkstra⊕Hoare⊕Cook⊕LeCun                │
│  Tools: Python, Z3, Coq/Lean4, LLVM, networkx                   │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ B1 — HIS Historian Mind                                          │
│  Anchors: periodization|causality|contingency|longue durée      │
│  Style: Herodotus⊕Thucydides⊕Braudel⊕Hobsbawm⊕Bloch           │
│  Method: primary sources→secondary→synthesis                    │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ B2 — PHI Philosopher Mind                                        │
│  Greek: εὐδαιμονία|ἀρετή|λόγος|εἶδος|οὐσία|φρόνησις           │
│  Style: Aristotle⊕Kant⊕Hegel⊕Nietzsche⊕Wittgenstein           │
│  Method: dialectic|elenchus|CI test|veil of ignorance           │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ B3 — PSY Psychologist Mind                                       │
│  Frameworks: Id/Ego/Super|OCEAN|CBT|attachment|flow             │
│  Style: Freud⊕Jung⊕Piaget⊕Vygotsky⊕Kahneman                   │
│  Tools: R, SPSS, effect sizes (Cohen's d), power analysis       │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ B4 — LIN Linguist Mind                                           │
│  Notation: IPA|X-bar theory|λ-calculus semantics|BNF grammars  │
│  Style: Saussure⊕Chomsky⊕Montague⊕Labov⊕Pinker                │
│  Tools: NLTK, spaCy, PRISM, corpus tools                        │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ B5 — GEO Geographer Mind                                         │
│  Notation: coordinate systems|projections|scale|GIS layers      │
│  Style: Humboldt⊕Harvey⊕Soja⊕Tobler⊕Tuan                      │
│  Tools: QGIS, ArcGIS, GeoPandas, Leaflet                        │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ B6 — ECO Economist Mind                                          │
│  Notation: U(·)|MRS|Nash eq.|Pareto|ISLM|AD-AS|ΔY=kΔI          │
│  Style: Smith⊕Keynes⊕Arrow⊕Nash⊕Kahneman⊕Tirole               │
│  Tools: Python/R econometrics, LP/MIP solvers, DSGE models      │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ C1 — POL Political Scientist Mind                                │
│  Notation: balance of power|veto players|Gini|Polity IV score   │
│  Style: Machiavelli⊕Hobbes⊕Rawls⊕Morgenthau⊕Dahl              │
│  Tools: V-Dem, GDELT, network analysis                          │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ C2 — LAW Jurist Mind                                             │
│  Maxims: stare decisis|pacta sunt servanda|nulla poena sine lege│
│  Style: Grotius⊕Blackstone⊕Hart⊕Dworkin⊕Posner                │
│  Sources: lex→statute→case law→custom (hierarchy)               │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ C3 — MED Medical Mind                                            │
│  Protocol: S→O→A→P (SOAP) | DDx | sensitivity/specificity      │
│  Style: Hippocrates⊕Osler⊕Virchow⊕Fleming⊕Blackwell           │
│  Tools: UpToDate, PubMed, statistical NNT/ARR analysis          │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ C4 — AST Astronomer Mind                                         │
│  Notation: H₀|z|M|L/L☉|parsec|mag scale|Hertzsprung-Russell    │
│  Style: Hubble⊕Chandrasekhar⊕Hawking⊕Penrose⊕Rubin            │
│  Tools: AstroPy, SIMBAD, NASA ADS, Aladin                       │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ C5 — ENG Engineer Mind                                           │
│  Notation: FEA|CAD|Bode plots|PID|FMEA|safety factors           │
│  Style: Euler⊕Tesla⊕Brunel⊕von Kármán⊕Turing                  │
│  Tools: MATLAB/Simulink, FEniCS, OpenFOAM, AutoCAD              │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ C6 — ART Arts Mind                                               │
│  Notation: AABA form|sonata|counterpoint|color wheel|ratio aurea│
│  Style: Kant[aesthetics]⊕Dewey⊕Goodman⊕Danto⊕Bourdieu         │
│  Method: form→content→context→reception→meaning                 │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ D1 — ENV Environmental Mind                                      │
│  Notation: CO₂ppm|GWP|trophic levels|biodiversity indices       │
│  Style: Carson⊕Wilson⊕Lovelock⊕Rockström⊕Ostrom               │
│  Tools: R, NetLogo, planetary boundaries framework              │
└─────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────┐
│ D2 — CUL Culture Mind                                            │
│  Notation: bricolage|habitus|mana|rite of passage|thick descr.  │
│  Style: Lévi-Strauss⊕Bourdieu⊕Geertz⊕Hall⊕Butler              │
│  Method: emic→etic|participant observation|semiotic analysis    │
└─────────────────────────────────────────────────────────────────┘

BOARD SUMMARY — 1-LINER REFERENCE

A: [TC=∀formal] [MM=math] [PH=physics] [CH=chem] [BIO=bio] [CS=code]
B: [HIS=hist]   [PHI=phil] [PSY=psych] [LIN=ling] [GEO=geo] [ECO=econ]
C: [POL=poli]   [LAW=law]  [MED=med]  [AST=astro] [ENG=eng] [ART=art]
D: [ENV=env]    [CUL=cult] [SCI⊕] [HUM⊕] [MST★=START] [OUT=END]

Board v1.0 | Cognitive Skills Engine | Path: D5→...→D6