Lean verification registry · Authored proofs · The Logos Architecture
Source recorded — formalization still required
Axiom-free: not established · 0 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: 2026-10-03T01:34:09.241Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:10.577Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 6a5ce6d6604f27371da31e4f4f4820a93793b4791862daacbefaa519cf296058
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) Not executed: no complete licensed formal sequent recovered.
{P, P, -> Q, Q -> R, R -> S, S -> T} |= (P & Q) & (R & S) & T
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.
Expected proposition identity
The Illogic of Atheism by Maclain Hunter:
Premises:
P: Atheism is denial of or disbelief in God or gods, including the God of Reason (Logos - Universal Order and Logic), which is necessarily one of the gods that atheism, by definition (and necessarily) denies.
Q: The genuine atheist must deny the Logos, as part of the broader framework of their atheistic logic. To accept the God of Reason (Logos) would negate one’s atheism or lead to it being a contradiction.
R: An atheists reasoning occurs in the atheists logical framework that itself is build around (or canon be totally separated from) the atheists denial of the Logos (the God of Reason).
S: In light of premise R, and the necessary connection between the atheist’s logic and the denial of the Logos (Foundational Reason - the God of Reason), even any valid reasoning within an atheists logical framework, that on its own holds, becomes a logical inconsistency and contradiction to their denial of Foundational Coherence in the broader context of their atheist logic/framework.
T: Atheism is a contradiction when measured against the broader Logical Framework of Reality (Logos), as it is a denial of that very framework—by a certain valid name at least, that being “God” - denoting the Origin of Existence and Moral Standard—and it cannot even allow for valid statements without contradiction, as to avoid creating contradiction within the atheist logic would require valid statements that are disconnected from Logos (the God of Reason and Logic of Reality) - a clearly contradictory concept (like an “invalid but valid argument”).
Logical Proof:
{P, P, -> Q, Q -> R, R -> S, S -> T} |= (P & Q) & (R & S) & T
Conclusion:
Atheism is invalid as it must deny the Logos to retain identity and be a position that denies even the God of Reason (a fully coherent notion of the Origin of Reality), which makes it logically untenable. The atheist logic is itself contradicted by any objectively valid statements made within it, or by its user (the atheist), since these become performative contradictions (as it relates to the broader atheist position) which proves that atheist position and atheist logic, and indeed atheism in general, cannot be a valid and rational position to hold. It means that being an atheist undermines the atheist’s ability to make any valid statements whatsoever (that remain valid and consistent with their views). It means that even when atheists are right in one way they are wrong in another, and always wrong in some way (until atheism is renounced and Logos/theism is accepted).