Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 2 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: 2026-10-02T16:57:24.378Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:20.781Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: c34fe81f7f0331e1eee7213440e5da1820b784fc2b726c0673874921f6a28e9c
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 'HunterAuthored.source_identity_rule' does not depend on any axioms
{P, P <-> Q, Q -> R} |= (P & Q) -> R
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.
Law of Identity
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
The Maker of the Syllogism by Maclain Hunter:
Premises:
P: The Maker of the Cosmos (Logos) exists in a bi-conditional relationship (<->) with the natural formation of the Universe (by “Natural Cause”). This is tautological even while using varied semantics and syntax, like saying the “Essence of Logic” (the Core of Rationality) is the “Substance of Reason” (Rationality’s Core). This is supported by logical rules and principles including the Law of Identity (that embodies the Logos and is itself by and according to itself - as the identified “Maker of the Cosmos” aka “God”: the Creator and Ruler of the Universe; the Moral Authority; the Supreme Being) and the PSR - which necessitates Universal Cause (Logos) for the Universe (Cosmos), as it’s necessary Maker and Origin.
Q: Assume ~P for a moment. This leads to paradox and contradiction where what is logical is divorced from what is natural and what is made is somehow not caused or formed (and vice versa), which is absurd, and disrespects the rational meanings of these terms and the natural/logical structure of the Universal Logos (Objective Reason) itself.
R: It is incoherent to posit that we don’t need a Logical Maker (Logos - Cause) because Existence can allegedly be explained instead (as if by a different concept in substance) by “Natural Formation” (or Cause). This is a classic “distinction without a difference” that relies on a false dichotomy between the Logos as the Maker of the Cosmos and the Cosmos being “naturally formed”. Logos is the Natural Cause that naturally formed Logical Existence. Logic is natural to Logical Existence, and the opposite position, that it’s not, is logically (and naturally) untenable.
Logical Proof:
{P, P <-> Q, Q -> R} |= (P & Q) -> R
Conclusion: {P, Q, R}:
The syllogism not only “can” prove the Maker, but MUST, as the “Maker” is Logic (Logos)—the “Logically Coherent God” (or “One True God”)—and no syllogism exists or can be valid independent of the Logos (Pure Reason - Objective Logic) or while denying the self-evident nature of Logic (the Natural Cause and Logical Maker who is the True Origin and Rational Ruler of Reality - the Logos or “God of Reason and Truth”).
Truth Table Analysis:
valid
↓ ↓ ↓ ↓
PQR⎪P P↔Q Q→R╞(P&Q)→R
――――――――――――――――――――――
TTT⎪T TTT TTT TTT TT
TTF⎪T TTT TFF TTT FF
TFT⎪T TFF FTT TFF TT
TFF⎪T TFF FTF TFF TF
FTT⎪F FFT TTT FFT TT
FTF⎪F FFT TFF FFT TF
FFT⎪F FTF FTT FFF TT
FFF⎪F FTF FTF FFF TF
Q.E.D.