Lean verification registry · Authored proofs · The Logos Architecture

Empiricism and Existentialism

Written formal sequents verified
Axiom-free: true · 1 checked theorem statements.

Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.

Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.

Source registered: 2026-10-02T23:08:50.612Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:07.640Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 0f10aac200c9c81352300cbf555d3a197cf74068eac77b1affef183bb8acaddd

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
exitCode=0
'HunterAuthored.inference_1' does not depend on any axioms

Source-bound formal statements

inference_1 · Kernel-verified · axiom-free

{P, Q} |= P & Q

Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.

Exact authored source in the timestamped release

P: Empiricism is incoherent as it denies knowledge internal to the mind that comes from Logic, and that is internal to Logic itself and not in a finite mind (necessarily).

Q: Existentialism’s "existence precedes essence" is incoherent: Identity <-> Being

{P, Q} |= P & Q

QED