Redundancy in Proof for Logic, God, and Objective Principles by Maclain Hunter

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

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

Redundancy in Proof for Logic, God, and Objective Principles by Maclain Hunter: Premises (Logical Inputs): P: Proof is logical, even when also empirical, legal, or otherwise, as if proof is not logical it is not logically valid and is logically and rationally “not proof”. Q: Logic is the only logically consistent Source of Logic (Logos - God - First Cause of Logic and Existence). Another alleged “Source” that is “not Logic” would be (by definition) not completely “logically consistent”. It would not align fully with Logic as the Logical Source (or “True God”) absolutely and logically must. R: Asking for proof of God is redundant, as God is and must be both the Foundation of the Cosmos (as that is the essence of the commonly accepted definition(s) of God) and must also be the Ground of Logic that is both fully logically coherent and that Logic itself coheres with (the Foundational and Real/Existential Coherence and Reality of), as alternatives to this coherence of God/Cosmos and Logic/Reason lead to incoherence and contradictions. S: Assume that it were not the case, that the Logos (God - Cosmic Order - Logic - Coherence) were not inherently proven by even the concept of proof. That leads to logical contradiction. It is therefore inherently redundant to have proof when it comes to the Logos as God and Logic as the Standard of Proof. You’re asking for a concept that by definition must align with Logos to show that Logos exists. If that can’t be done, there is no such thing as proof. T: If proof is not possible then theists need proof no more than anyone else, and if there is no Objective Reason (Logos - God - Coherence) then there is no Standard of Objective Truth or Moral Authority (another dictionary definition of “God”) to be wrong and immoral or in error and sinful according to, and thus a belief in the Logos is ethical and “not wrong” any way we turn things, including if the Logos (God of Reason) did not exist as atheism illogically (against the very existence of the Logical Standard of Existence and the Rational Structure intrinsic to the Cosmos) must posit to remain atheism and consistent in the denial of all conceptions, notions, and realities of God - including the coherent ones which atheism naturally denies (and must to remain atheism). Logical Structure (Formal Proof - Logos): {P, P <-> Q, Q <-> R, R <-> S, S <-> T} |= ((P & Q) & (R & S) & T Conclusion (Logical Output): Proof is proven to exist, which inherently proves (as a matter of the necessary logical alignment of proof, including this proof, with Objective Coherence and Logic itself) that the Universal Principle of Logic and Coherent Reason—the One True God or “Logos”—exists. To deny this or disbelieve it is irrational and contradicts Logic as it is using rational faculties that come from Pure Reason (Logos) to deny and undermine that Logos (True God) and thus the rational faculties and the doubters identity and existence itself. Therefore it is a redundancy to have proof for God (or Logic), as speaking of proof as a credible concept is to speak of God (Logos - Universal Reason) as a credible Standard, even when dealing with any sort of logically coherent (and thus “valid”) empiricism. This proof, even if incoherent would still (even through a misaligned position with Logos) prove the Standard (First Cause of Logic - the True God of Pure Reason - the Universal Logic that is genuine Logic according to Logic itself or “Logos” as it’s known in Greek Philosophy) exists. Truth Table Analysis: valid ↓ ↓ ↓ ↓ ↓ ↓ PQRST⎪P P↔Q Q↔R R↔S S↔T╞((P&Q)&(R&S))&T ―――――――――――――――――――――――――――――――――――――――― TTTTT⎪T TTT TTT TTT TTT TTT T TTT TT TTTTF⎪T TTT TTT TTT TFF TTT T TTT FF TTTFT⎪T TTT TTT TFF FFT TTT F TFF FT TTTFF⎪T TTT TTT TFF FTF TTT F TFF FF TTFTT⎪T TTT TFF FFT TTT TTT F FFT FT TTFTF⎪T TTT TFF FFT TFF TTT F FFT FF TTFFT⎪T TTT TFF FTF FFT TTT F FFF FT TTFFF⎪T TTT TFF FTF FTF TTT F FFF FF TFTTT⎪T TFF FFT TTT TTT TFF F TTT FT TFTTF⎪T TFF FFT TTT TFF TFF F TTT FF TFTFT⎪T TFF FFT TFF FFT TFF F TFF FT TFTFF⎪T TFF FFT TFF FTF TFF F TFF FF TFFTT⎪T TFF FTF FFT TTT TFF F FFT FT TFFTF⎪T TFF FTF FFT TFF TFF F FFT FF TFFFT⎪T TFF FTF FTF FFT TFF F FFF FT TFFFF⎪T TFF FTF FTF FTF TFF F FFF FF FTTTT⎪F FFT TTT TTT TTT FFT F TTT FT FTTTF⎪F FFT TTT TTT TFF FFT F TTT FF FTTFT⎪F FFT TTT TFF FFT FFT F TFF FT FTTFF⎪F FFT TTT TFF FTF FFT F TFF FF FTFTT⎪F FFT TFF FFT TTT FFT F FFT FT FTFTF⎪F FFT TFF FFT TFF FFT F FFT FF FTFFT⎪F FFT TFF FTF FFT FFT F FFF FT FTFFF⎪F FFT TFF FTF FTF FFT F FFF FF FFTTT⎪F FTF FFT TTT TTT FFF F TTT FT FFTTF⎪F FTF FFT TTT TFF FFF F TTT FF FFTFT⎪F FTF FFT TFF FFT FFF F TFF FT FFTFF⎪F FTF FFT TFF FTF FFF F TFF FF FFFTT⎪F FTF FTF FFT TTT FFF F FFT FT FFFTF⎪F FTF FTF FFT TFF FFF F FFT FF FFFFT⎪F FTF FTF FTF FFT FFF F FFF FT FFFFF⎪F FTF FTF FTF FTF FFF F FFF FF Q.E.D.

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.