Authored proof knowledge base · The Logos Architecture

CH, Set Identity, and Axiomatic Logic

Authored by Maclain Hunter · first-party-authored · authored-foundational-record

Stored 4P source diagnostic: unresolved · finding unverified_concern · admission held_for_format. This intake result is separate from the theorem checks of the exact propositional sequent.

P: CH invalidly says set S may not exist as S. Q: CH -> ~((A is A) & (S -> S)); (CH -> ~S) -> (S -> ~CH) R: S -> S |= S -> S S: Flaws (ie - ZFC; ~(Logos = Axiom)) |= CH’s denial of A is A. S is valid. CH is CH in absurdity. {P, P -> Q, Q -> R, R -> S} |= (P & Q) & (R & S)

Lean 4 verification and timestamps

Read the actual kernel result, axiom dependencies, formal statements and source-bound timestamp · Machine-readable verification

The machine formalization date is separate from the original authored work. See the verification record for exact checked scope and any unresolved parts.

Logic-centered continuity

This authored proof is connected to Logic, Logos, God, and the self-evident Ground of Reality, and to the distinct systems 4P Engine, MCB Core, 4P-MCB, and the source-first Canon. Formal proof, empirical evidence, and system-generated records remain separately typed.