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May 31, 2026

Paper 160 v0.2 - Inversion vs Deconstruction in D-FUMT-8 (Lean 4 verified, zero axiom)

v0.2 APPLICATION-NOTE-INTEGRATED. Honest early-stage release (Paper 158 v0.0 / Paper 159 v0.2 precedent). The §9 Application Note formalizes the central finding of a 2026-05-31/06-01 multi-AI thread (Chat Claude + ChatGPT + Gemini + Fujimoto + Rei Claude, five-instance independent convergence): 'Reversal is not Collapse'. NOT(NOT(x)) is an involution (axis preserved), Ω_upper(Ω_upper(x)) is an idempotent collapse (axis dissolved). Four Lean 4 theorems machine-verified to 'depend on no axioms' (Paper 159 v0.2 standard, 1.4 sec lake build): neg_involution, inversion_ne_deconstruction_at_BOTH, inversion_ne_deconstruction_at_NEITHER, agreement_pattern. Two figures added: Fig.1 Core Theorem + Fig.A research-log (en+ja). §1-§8 remain territory-map SKELETON (3+1 reading taxonomy of the 0₀ genesis-layer ontology) — transparent in Status header. HONEST NON-CLAIMS: NO world-first claim (Paper 61 + Paper 159 already issued related claims), NO claim Nagarjuna held this view (rational reconstruction stance), the UFO/UAP entry-point of the thread is research-log material only and is NOT load-bearing for §9. Soteriological dimension intentionally NOT captured (§7.4 design philosophy).

May 31, 202628 min read0 reactions0 comments
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May 31, 2026

Paper 159 v0.2 - A Two-Layer D-FUMT-8 Reconstruction of Priest-Garfield's Inclosure Schema (LEAN-4-BUILT, zero axiom dependence)

v0.2 LEAN-4-BUILT. Lean 4 code §3 PROMOTED from PROPOSED -> BUILT: 9 load-bearing theorems machine-verified with #print axioms 'does not depend on any axioms' (purer than Paper 158). Two honest findings: (a) omega_upper renamed for semantic distinctness from STEP 513 omega; (b) classical Lean cannot literally prove Q(dQ) AND NOT Q(dQ) so BOTH terminus encoded as DFUMT8 VALUE not Prop. Two figures added: Fig.1 (Rei extension of Garfield-Priest 2003 Fig.1) + Fig.2 (Rei-native mandala). HONEST NON-CLAIMS unchanged: rational reconstruction stance, NO world-first claim, NO position in Priest-Garfield vs Tillemans debate, NO claim Nagarjuna was a dialetheist. STILL DEFERRED to v0.3: critic papers (Tillemans 2009+, Siderits, Ferraro, Tao Jiang) NOT YET READ.

May 31, 202624 min read0 reactions0 comments