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

Todo

AA: Rewrite this page to provide a better overview of the HEAVEN project now that PET and JUB have their own dedicated sections under /matheology/.

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/heaven/index.rst, line 66.)

Todo

Add LLoL’s #MyGuilt-A,B,C,D summaries here, as reported in the Good News Pack.

Explain the concept of PEARLs in Heaven.

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/hell/index.rst, line 69.)

Todo

Draft a narrative introduction to PET for first-time readers. This should be the recommended starting point before diving into the formal axioms.

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/hell/mm/b/11/ppv2/overview.rst, line 32.)

Todo

Draft a narrative introduction to JUB for first-time readers. This should present the connected story of how A15–A25 and T5–T11 build on the PET foundation to solve the innovation theodicy and arrive at the Jubilee principle.

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/hell/mm/b/14/OOv2/overview.rst, line 32.)

Todo

Draft a narrative introduction to JUB for first-time readers. This should present the connected story of how ax15–ax25 and th5–th11 build on the PET foundation to solve the innovation theodicy and arrive at the Jubilee principle.

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/hell/mm/b/14/OOv3/overview.rst, line 32.)

Todo

Draft a narrative introduction to JUB for first-time readers. This should present the connected story of how ax15–ax25 and th5–th11 build on the PET foundation to solve the innovation theodicy and arrive at the Jubilee principle.

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/jub/overview.rst, line 32.)

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

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/pet/anyaims.rst, line 38.)

Todo

Draft a narrative introduction to PET for first-time readers. This should be the recommended starting point before diving into the formal axioms.

(The original entry is located in /home/runner/work/balospe-com/balospe-com/source/matheology/pet/overview.rst, line 32.)