Lean verification registry · Authored proofs · The Logos Architecture
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: 2026-10-02T18:54:42.930Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:31.855Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: c7423affdf55e3033246f7a0a07c363924868b03e14bf40d74803a69627bd211
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) exitCode=0 'HunterAuthored.inference_1' does not depend on any axioms
{P, Q, R, S} |= (P & Q) -> (R -> S)
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.
Atheist’s Conscience by Maclain Hunter
Premises:
P: An atheist that claims to have a clear conscience is contradicting themselves as God is, by definition, referring to the Moral Authority that is the Ethical Standard. Having a “conscience” presupposes this sort of Morality and Moral Authority - which is contradicted by any denial of God or concordant atheism.
Q: It is logically consistent that a conscience should not be clear while its bearer sins and/or denies the Moral Authority - which is what “God” refers to BY DEFINITION, once again (see Oxford English Dictionary). The atheist’s moral character is stained by the denial of God (as the Moral Authority and Logos) even if subjectively their conscience somehow feels clear. They will have disrespected the truest aspect of themselves in scoffing at God (the Universal Origin and the Foundation of the Ego/Self) or in denying the existence of such a Foundation.
R: It doesn’t make good sense and is logically unsound to acknowledge the concept of a “conscience” while denying there is any God (Moral Authority and Standard of Logic). What would anything be immoral and a “weight on your conscience” according to if there is actually no God and no Moral Authority and if it’s all just some shifting and arbitrary lack of standards?
S: Assume the negation of the premises (P, Q, R, and S) and assume the negation of the Coherence between the Logos and an objectively sound concept of (good) “Conscience” - that Conscience and Logic (or God) are not aligned when morally upright and logically sound. This leads to logical contradiction where the sense of morality and moral guidance that comes with knowledge (ie “con+science”) is somehow divorced form the Logic and Reason (or “Logos”) that made knowledge and morality possible in the first place. We must accept the premises to avoid the incoherence that arises from the negation of them, and to keep a clear conscience (ie - our logical alignment and moral uprightness).
Formal Logic:
{P, Q, R, S} |= (P & Q) -> (R -> S)
Conclusion:
An atheist with a clear conscience is a logical contradiction. Having a conscience presupposes the Logos (or “God of Reason”) as the Moral Authority. The whole concept loses meaning without the Moral Standard (God) inherent in the Logos as the logically necessary Logical Structure of Reality.
God-as-Logic (Logos - the Rational First Cause) and concepts of a Conscience are inextricably linked and having a Conscience is itself evidence of the moral guidance that the Logos, through/as Logical Coherence, provides to the Rational Mind aligned with Reason.
An atheist that says they have a well aligned CONSCIENCE is, unintentionally and in other terms, an atheist that is admitting they have evidence of God (Logos).
Truth Table Analysis:
PQRS⎪P Q R S╞(P→Q)→(R→S)
TTTT⎪T T T T TTT T TTT
TTTF⎪T T T F TTT F TFF
TTFT⎪T T F T TTT T FTT
TTFF⎪T T F F TTT T FTF
TFTT⎪T F T T TFF T TTT
TFTF⎪T F T F TFF T TFF
TFFT⎪T F F T TFF T FTT
TFFF⎪T F F F TFF T FTF
FTTT⎪F T T T FTT T TTT
FTTF⎪F T T F FTT F TFF
FTFT⎪F T F T FTT T FTT
FTFF⎪F T F F FTT T FTF
FFTT⎪F F T T FTF T TTT
FFTF⎪F F T F FTF F TFF
FFFT⎪F F F T FTF T FTT
FFFF⎪F F F F FTF T FTF
(Valid)
Q.E.D.