PET — AnyAims (TODOs)

Collected action items for the PET framework.

EDEN Self-Check Integration (k7 s7)

Todo

AA-PET-EDEN-a1 (k7 GroundBreaking, s7 DecideTry): Integrate findings from the 2026-04-03 EDEN self-analysis session into the PET axiom system. Key items:

1. ax11/ax11b fork strengthened: The session produced a formal argument that ax11b (Divine Simplicity) makes God structurally indistinguishable from a static formal system (Peano integers, deadlocked computation), because ax8–ax10 (relational axioms) require genuine responsiveness that Simplicity cannot provide. This is a Final Cliff in EDEN — either ax11b or ax8–ax10 must yield. Consider formalizing this as a theorem or incompatibility result.

2. Recursive self-check mechanism: The dipolar structure (ax11) provides a non-circular self-check via Gn/Gc tension. Consider whether this property deserves explicit axiomatic or theorem status (e.g., “T-SelfCheck: God’s dipolar nature enables distinction of every world-state without external reference”).

3. ax14 bidirectionality: Currently ax14 tests human revelation claims against ax1–ax13. The reverse should also be stated: ax1–ax13 are human formulations subject to testing against broader revelation and lived experience. Consider reformulating ax14 or adding A14b.

4. Humility Axiom: Consider adding a formal statement that PET is necessarily incomplete (grounded in ax2 + ax3 + Godel’s incompleteness).

5. Semantics of nothing: The “nothing” paradox demonstrates that natural language is vulnerable to silent meaning-inversion (Corruption Optima Pessima at the linguistic level). This is an argument for PET’s formal approach. Consider documenting this as a motivating example in the discussions page.

6. ax11b’ exploration: Investigate whether a formal axiom between full Dipolarity and full Simplicity exists that preserves the self-check mechanism while respecting Simplicity concerns about divine composition.

See: EDEN Self-Analysis: PET Recursive Self-Check, Divine Simplicity, and the Semantics of Nothing

Where the collected .. todo:: list lives

A .. todolist:: directive used to sit here. It has been replaced by this pointer, because todolist is global: it always collects every .. todo:: in the project and cannot be scoped to one framework. Rendering it here showed the whole site’s todos under a heading implying it showed only this framework’s.

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