e7Day History#

Development history of the e7Day model (Generalized System Construction).

For the complete session log, see matheology/hell/ll/forge/b/12/llog.rst.

FORGE Session Sa2_2026m03d27#

Session: Sa2_2026m03d27 (FORGE compiler)

Model: e7Day — Generalized System Construction

Final version: dv_ClaOp46Max_OOv1_2026m03d27 (strengthened at TEMPER)

Round a1 — OOv1 Formalization#

Phases: IGNITE → HEAT → STRIKE → QUENCH → BANK

Produced the initial OOv1 model:

  • 8 submodels defined (m0 VOID through m7 TRUST)

  • 4 cross-day meta-axioms (mc.ax1–4)

  • 7 general theorems (th1–th7)

  • Day-by-day formalization with OK/OKO verdicts per submodel

  • 19 GrowthGarden candidates identified and archived

  • Session dictionary created (acronyms, symbols, ambiguities)

  • 1 GrowthGarden promotion: m3.ax3 (Water Circulation)

Round a2 — TEMPER Stress-Testing#

Phases: EMBER → TEMPER (17 entries) → QUENCH → BANK

Iron Maiden (10 formal tests) applied to all 30 OOv1 statements. Results: 30 HELD, 0 BREACH (after rescues).

10 Iron Maiden tests:

  1. Consistency

  2. Independence

  3. Necessity

  4. Modal Soundness (S5)

  5. Mereological Coherence (CEM)

  6. Game-Theoretic Stability

  7. Computability and Decidability

  8. Real-World Grounding

  9. Cross-Model Coherence (PET/JUB)

  10. Known-Attack Resilience

Key achievements:

  1. th7 major rescue: Single-arrow Compassion theorem (BREACH) rescued to five-gate Compassion Capacity Theorem (HELD) with connections to 12+ axioms across PET, JUB, e7Day. Gates: repair-history, scope limitation, other-awareness, channel quality (Compassion UMP), perpetual scope-expansion commitment. Supervillain theorem and eternal-life corollary introduced.

  2. m7.ax3 rescue: 6:1 ratio initially BREACHed, rescued via constrained-optimum defense (integer-day batching, Schelling point, innovation-cycle isomorphism). Numerology objection answered.

  3. 2 reclassifications: m2.ax3 → m2.th1 (PERFECT/PERFIDE impossibility, derivable from m2.ax1 + m2.ax2); m6.ax5 → m6.th1 (OSCR Collapse, derivable from m6.ax3 + m6.ax4).

  4. 1 reformulation: m6.ax4 asymmetric form (OK→BABL sufficient; OKO necessary for ZION, not sufficient; cf. Gen.18 Abraham).

  5. 6 HELL cons addressed: Con-11 (substantially), Con-14 (partially), Con-22 (substantially), Con-23, Con-24, Con-31.

  6. 3 new models identified: e7He (Hero Journey), e7Ch (7ChangeStages), e7Tr (tech adoption cycle).

  7. New concept: ASON (Ambiguous Semantics Of Nothing).

  8. 1 GrowthGarden promotion: th6 (Dual-Nothing).

  9. ~20 active AA items for future work (see e7Day — AnyAims (Open Action Items)).

Session Files#

Model files (permanent):

  • matheology/model/e7day/ — formal model pages (this directory)

  • matheology/model/e7day/gg/megatable.rst — full registry including GrowthGarden candidates, credences, and con-pro notes

Session log files:

  • matheology/hell/ll/forge/b/12/llog.rst — full session log (APPEND-ONLY)

  • matheology/hell/ll/forge/b/12/meta.rst — session metadata

  • matheology/hell/ll/forge/b/12/dict.rst — session acronym dictionary

Acronym registry:

  • dict/ambiguities-to-decide.rst — central collection of unresolved acronym alternatives