Evidence Requires Logic by Maclain Hunter

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

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

Evidence Requires Logic by Maclain Hunter Premises: P: demand for “evidence” (or proof) presupposes the validity of logical reasoning. One must use Logic to demand evidence. Q: If Logic (Logos) is denied, then no coherent evidence can be demanded. R: Therefore, demanding evidence already affirms the necessity of Logos. S: This is a logically sound ontological argument for Logos. Assume otherwise for a moment, and that the premises (P, Q, R, and S) are unsound. Testing that assumption leads to logical contradictions where logically derived concepts like evidence and proof (including this proof) might somehow exist absent all Logic and logics - the Universal Logos and all local “logoi” it contains. That is of course absurd and this absurdity is resolved in a logical fashion easily by simply accepting the premises and proof here. Logical Proof: {P, P -> Q, Q -> R, R <-> S} |= (P & Q) -> (R & S) Conclusion: {P, Q, R, S}: Logic is plainly evident as the “Root of Proof and Evidence”. If not then the existence of proof and evidence would itself absurdly be “not evident or proven” (or feasible). It is certain that the Logos (or Universal Logic) exists along with proofs like this one which you cannot coherently deny the existence of (if and since you are reading this). This, and the fact that you can observe this proof, means that this proof is allowing you to empirically observe the same Order that the Cosmos itself relies upon, also understood as the “God of Reason” or “Logos” - the God of the Bible that many atheists and theists alike have asked to be “shown”. If you have asked then you have now received. Truth Table Analysis: PQRS⎪P P→Q Q→R R↔S╞(P&Q)→(R&S) TTTT⎪T TTT TTT TTT TTT T TTT TTTF⎪T TTT TTT TFF TTT F TFF TTFT⎪T TTT TFF FFT TTT F FFT TTFF⎪T TTT TFF FTF TTT F FFF TFTT⎪T TFF FTT TTT TFF T TTT TFTF⎪T TFF FTT TFF TFF T TFF TFFT⎪T TFF FTF FFT TFF T FFT TFFF⎪T TFF FTF FTF TFF T FFF FTTT⎪F FTT TTT TTT FFT T TTT FTTF⎪F FTT TTT TFF FFT T TFF FTFT⎪F FTT TFF FFT FFT T FFT FTFF⎪F FTT TFF FTF FFT T FFF FFTT⎪F FTF FTT TTT FFF T TTT FFTF⎪F FTF FTT TFF FFF T TFF FFFT⎪F FTF FTF FFT FFF T FFT FFFF⎪F FTF FTF FTF FFF T FFF 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.