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: 2026-10-02T17:13:02.206Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:11.454Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 53449e76d2a7f444c49b953e472ada254e8e45f67fbfb788ebe1f03cdd97a684
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, P <-> Q, Q <-> R, 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.
The Illogic of the Atheist Mindset by Maclain Hunter:
Premises:
P: Logic is God and God is Logic.
Q: Logic and God must be coherent to avoid being incoherent, and to have Logic and the Origin of Reality rationally aligned (coherent). Assume that God is not manifest in Logic (the Method of Reasoning) and Logic is not a reflection of God (the Ontological Ground). This would be absurd and contradictory. It is logically untenable to propose the Universe is not rationally based in Coherence and Logic (or what is coherent with Logic).
R: Atheism is the denial of or lack of belief in God (or gods). Since Logic is the Ontological Ground and the logical “God” (Origin of Existence - Creator and Ruler of the Universe - the Moral Authority - the Supreme Being), atheism is demonstrably illogical (as it is “ungodly” at face value).
S: Atheism as a lack of belief is not an explanation but a state of mind (that is consistent with the lack of knowledge or logically justified true belief). It is not a coherent explanation and amounts therefore to an illogical (non-explanatory) mindset.
Logical Proof:
{P, P <-> Q, Q <-> R, R <-> S} |= (P & Q) & (R & S)
Conclusion: {P, Q, R, S}:
Since Logic is God and God is necessarily manifest in and coherent with Logic, as the Origin of Reality (the First Cause of Logic) cannot logically be logically incoherent without contradiction. Atheism is shown to be incoherent and logically untenable as a result. This is not a matter of religious belief or preference/subjectivity, it is a matter of Logic and the objective relationship of concepts to/with Logic.
Truth Table Analysis:
valid
PQRS⎪P P↔Q Q↔R R↔S╞(P&Q)&(R&S)
―――――――――――――――――――――――――――――――
TTTT⎪T TTT TTT TTT TTT T TTT
TTTF⎪T TTT TTT TFF TTT F TFF
TTFT⎪T TTT TFF FFT TTT F FFT
TTFF⎪T TTT TFF FTF TTT F FFF
TFTT⎪T TFF FFT TTT TFF F TTT
TFTF⎪T TFF FFT TFF TFF F TFF
TFFT⎪T TFF FTF FFT TFF F FFT
TFFF⎪T TFF FTF FTF TFF F FFF
FTTT⎪F FFT TTT TTT FFT F TTT
FTTF⎪F FFT TTT TFF FFT F TFF
FTFT⎪F FFT TFF FFT FFT F FFT
FTFF⎪F FFT TFF FTF FFT F FFF
FFTT⎪F FTF FFT TTT FFF F TTT
FFTF⎪F FTF FFT TFF FFF F TFF
FFFT⎪F FTF FTF FFT FFF F FFT
FFFF⎪F FTF FTF FTF FFF F FFF
Q.E.D.