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: 2026-10-03T01:36:20.318Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:47.536Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: c39682eb4f641a7b5fec230117a2cc4ef401fd043097e24706cf3e07f8fbc5c7
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.
Human Reason and Reason in General by Maclain Hunter:
Premises:
P: Human reasoning is a form of Reason that can be dynamic or static, coherent or incoherent, consistent with the logically contingent nature of human rationality.
Q: Reason (as it is in general/universally) is dynamic (infinite - not merely static or local) yet coherent, open to all feasible truths and statement’s while not falling into contradiction. This consistent Universal Logical Framework (logically equivalent to coherent Reason and/or Logic) is what allows for humanity to be humanity and human reason to be human reason.
R: It would be a contradiction that would render human reason “not Reason” (necessarily and in any context) if human reason could not be Reason (coherent with Logos).
S: Assume ~(P, Q, R). This leads to logical contradiction where human reason could exist without Reason in general or without being potentially coherent with Reason in general. Therefore P, Q, and R must be true making conclusions drawn from them true also.
Formal Argument (Proof):
{P, Q, R, S} |= (P & Q) & (R & S)
Conclusion: (P & Q) & (R & S):
“Reason in General” (Logos - Universal Logic) underlies human identity and reasoning and enables the existence of contingent concepts like humanity and human reason. Reason in General and the objective coherence of Universal Reason (Logos) allows for coherence in general and coherence in human identity and reasoning, allowing for people to be people long enough and consistently enough to gain true knowledge through consistent and coherent human reason and Universal Reason (Logos).