PT-002 THINKING — ELI-VIZASL

BIG IDEA — ELI5

🧠

There are 43 different ways to think. Deductive, inductive, abductive, lateral, critical, creative... This table maps them all. When the fleet reasons, it picks one — or more — of these modes. A proof is deductive. A creative leap is lateral. A gut feeling is intuitive. Every thought has a name here.

When IMHOTEP solves a problem, it isn't just "thinking." It's selecting from this table — combining Bayesian + Recursive + Synthetic to get to the answer. Each element is a real cognitive science term. None are made up.

43 ELEMENTS

PROOF MODES

CREATIVE MODES

CRITICAL MODES

SYSTEMIC MODES

SENSORY MODES

ABSTRACT MODES

OPERATIONAL MODES

1DeDeductivePROOF

2InInductivePROOF

3AbAbductivePROOF

4BaBayesianPROOF

5PbProbabilisticPROOF

6LaLateralCREATIVE

7CvCreativeCREATIVE

8DvDivergentCREATIVE

9SnSyntheticCREATIVE

10AnAnalogicalCREATIVE

11ImImaginativeCREATIVE

12CrCriticalCRITICAL

13DiDialecticalCRITICAL

14RfReflexiveCRITICAL

15McMetacognitiveCRITICAL

16CgConvergentCRITICAL

17SkSkepticalCRITICAL

18SySystemicSYSTEMIC

19HlHolisticSYSTEMIC

20EmEmergentSYSTEMIC

21AdAdaptiveSYSTEMIC

22IrIterativeSYSTEMIC

23RcRecursiveSYSTEMIC

24VsVisualSENSORY

25AuAuditorySENSORY

26KnKinestheticSENSORY

27SpSpatialSENSORY

28TpTemporalSENSORY

29AtAbstractABSTRACT

30MtMathematicalABSTRACT

31MdModalABSTRACT

32LnLinguisticABSTRACT

33SmSymbolicABSTRACT

34CoConcreteOPERATION

35SqSequentialOPERATION

36PlParallelOPERATION

37CaCausalOPERATION

38RdReductiveOPERATION

39ItIntuitiveOPERATION

40EpEmpathicOPERATION

41StStrategicOPERATION

42TcTacticalOPERATION

43FzFuzzyOPERATION

REACTOR DEMO — T1 PELATONS LIVE

T1
PELATON
ACTIVE

ACTIVE THINKING MODES — 1 SEC CADENCE

De · Deductive

Ba · Bayesian

Rc · Recursive

Sn · Synthetic

Cr · Critical

Md · Modal

Pl · Parallel

Em · Emergent

Vs · Visual

St · Strategic

Ab · Abductive

Ad · Adaptive

R-BEAT · Rising / Proof success · theorem confirmed

F-BEAT · Falling / Error state · sorry detected

RF-BEAT · Resonant floor · mode held steady

INSTRUMENT — T1 PELATONS

T1 PELATONS

Thinking-mode pulse instrument · 1-second intervals · proof-aware

CADENCE

1.000s fixed pulse. Each Pelaton beat samples the active thinking mode from PT-002 and emits a beat signal. Multiple modes can fire simultaneously (parallel cognition).

R-BEAT

Rising beat — thinking mode produced a theorem or confirmed result. Joffe-math gets a new entry. γ₁ stamp eligible.

F-BEAT

Falling beat — thinking mode hit an error, a sorry, or an unresolved wall. Triggers KCF-SRCH-008 RISK escalation if sustained.

RF-BEAT

Resonant floor — mode held steady without proof or error. Ongoing reasoning, not yet resolved. Common during Iterative and Recursive loops.

PROOF MODES

De, In, Ab, Ba, Pb → produce R-beats when validated against Lean4 / joffe-math theorems. These are the proof-generating modes.

BONIXER — DIAMOND OR ZOMBIE?

Does the thinking mode have a theorem? Or just vibes?

💎 DIAMOND Mode has a Lean4 theorem in joffe-math.
Example: Deductive (De) → ∀ premises P, conclusion C: P⊢C provable.
Bayesian (Ba) → Bayes' theorem encoded. Recursive (Rc) → well-founded recursion proved.

These modes are load-bearing. Fleet uses them for provable outputs.

🧟 ZOMBIE Mode runs on vibes alone. No theorem, no proof, no formal backing.
Example: Fuzzy (Fz) — useful heuristic, but no crisp formal spec.
Intuitive (It) — powerful, but not provable.

Zombies are still used — just not trusted with safety-critical decisions.