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: 2026-10-03T01:34:18.942Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:19.881Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 8eccaa3646c1a3095b32697e8cf49a1f741f87d547a1e1ae8925a0cb539c8cba
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, S <-> T, T <-> U, U <-> V, V <-> W, W <-> X} |= (((((P & Q) & (R & S) & T) & U) & V) & W) & X
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 Logical Shaping of Logic by Maclain Hunter:
Atomic Sentences:
P: Real Logic: A form of reasoning grounded in objective truths and principles, defined by its adherence to rationality and validity. It serves as the foundation for understanding Logos, which embodies the logical structure that informs all existence.
Q: Logos: The rational principle that underlies and orders the universe, often associated with universal reason. It is informed by Real Logic, which manifests the principles of objective reasoning and validates the application of logic in understanding the cosmos.
R: Sound Logic: A reasoning process that is both valid and based on true premises, ensuring conclusions drawn from arguments accurately reflect actual truths about reality. It finds its foundation in Absolute Logic, which provides the unchanging principles necessary for maintaining soundness.
S: Absolute Logic: A theoretical framework positing that certain logical principles are unchanging and universally valid. It is essential for understanding Universal Logic, as it outlines the fundamental truths that govern reasoning in all contexts.
T: Universal Logic: The collective set of logical principles that apply across different contexts, cultures, and systems of thought. It reflects the coherence and harmony of the Perfect Order of Logos, demonstrating how these principles organize and govern reality.
U: Perfect Order of Logos: The ideal state of harmony and coherence within the universe, governed by the principles of Logos. It encapsulates the Logic of the Universe, illustrating how the universe operates according to logical laws that reflect the perfect order envisioned by the principles of Logos.
V: Logic of the Universe: The inherent principles that govern reasoning and understanding in the cosmos. It is a manifestation of the Highest Order of Logic, demonstrating how logical structures underpin reality and ensure coherent understanding.
W: Highest Order of Logic: The ultimate standard of reasoning that encompasses all logical truths, representing the pinnacle of rational understanding. It informs the Universal Truth, as it establishes the foundational realities recognized universally that shape logical reasoning.
X: Universal Truth: A truth that is consistently applicable across all contexts and cultures, representing foundational realities recognized universally. It connects back to Real Logic, affirming the overarching principles that guide rational thought and objective reasoning.
Logical Proof of Logic’s Ability to Shape Logic:
{P, P <-> Q, Q <-> R, R <-> S, S <-> T, T <-> U, U <-> V, V <-> W, W <-> X} |= (((((P & Q) & (R & S) & T) & U) & V) & W) & X
Conclusion: {P, Q, R, S, T, U, V, W, X}:
Logic in its Highest Form is self-defining and realizes (creates/makes) itself and/as Reality through the Order(s) and Form(s) of Logic. This is how, as this proof illustrates in a finite but valid way/context, Logic has the real ability to make itself be itself (while leaving no gaps in the explanation and without lacking logical validity and coherence).