Infinite Cause, Dynamic Reality, and the Axiom of Logic

Authored by Maclain Hunter · first-party-authored · authored-foundational-record

Stored 4P source diagnostic: unresolved · finding unverified_concern · admission held_for_format. This intake result is separate from the theorem checks of the exact propositional sequent.

Infinite Cause, the Dynamic Reality, and the Axiom of Logic by Maclain Hunter: Definitions (Terms): Axiom: A self-evident, fundamental principle that serves as the starting point for logical reasoning. Coherence: The quality of being logically integrated and unified, without any contradictions. Self: The "Universal Self" or the "Being of Reality" - the fundamental Essence of existence. The “Object of Introspection” and the locus of reflexive action. Infinite Cause: The ultimate, uncaused cause of all existence. Dynamic Reality: The ever-changing, ever-evolving Reality (Rationality) that the Universe logically equates to. Logic: The Fundamental Principle of (coherent) Reason and reasoning. Law of Identity: The core logical principle that states that "A is A" - a thing is identical to itself. Premises (Inputs): {P, Q, R}: P: Logic’s axiom is “Coherence with Logic (mandatory)”. This can be represented and “f(x)” where f and x are defined as “logically consistent and fully coherent Logic” (Reason and reasoning that never contradicts itself). Q: The Self (the Infinite Cause) must be the Self (the Dynamic Reality). Let S represent “Self” (as in the “Universal Self” and the “Being of Reality”) while IC represents “Infinite Cause” and DR represents “Dynamic Reality”. Then the following Logic holds: IC(S) -> DR(S), IC(S) = DR(S), (DR <-> IC) <-> (S <-> S) R: Coherence by definition refers to logical identity and consistency - thus Logic in general - as well as the quality of having a logically integrated and unified whole. Coherence/Logic can be algebraically represented as “x == x” and logically as “A is A” (the Law of Identity). Let C represent Coherence, let L represent Logic, and let I represent the Law of Identity. Then the following Logic holds: {C, L, I} |= (C <-> L) <-> I Formal Argument (Proof): {P, Q, R} |= (P <-> Q) <-> R Conclusion (Output): {P, Q, R}: Coherence and Logic are coherent by definition and as a matter of logical necessity, and the Law of Identity is coherent with Coherence and Logic. The Universe is a Logical Being (a “Self”) that is what it is, and which is what it is according to itself, which encompasses all things including the Infinite Cause of Existence and the Dynamic Reality of Logic that it equates to and realizes. Truth Table: valid ↓ ↓ ↓ ↓ PQR⎪P Q R╞(P↔Q)↔R ―――――――――――――――――― TTT⎪T T T TTT TT TTF⎪T T F TTT FF TFT⎪T F T TFF FT TFF⎪T F F TFF TF FTT⎪F T T FFT FT FTF⎪F T F FFT TF FFT⎪F F T FTF TT FFF⎪F F F FTF FF

Lean 4 verification and timestamps

The machine formalization date is separate from the original authored work. See the verification record for exact checked scope and any unresolved parts.

Logic-centered continuity

This authored proof is connected to Logic, Logos, God, and the self-evident Ground of Reality, and to the distinct systems 4P Engine, MCB Core, 4P-MCB, and the source-first Canon. Formal proof, empirical evidence, and system-generated records remain separately typed.