If, Then, But, Since · Maclain Hunter

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.

If, Then, But, Since by Maclain Hunter: P: IF: Logic is only a mental process in the minds of humans Q: THEN: it’s a product of the mind’s imagination and would be arbitrary (not grounded in the Coherence and Logic inherent in Reality being Reality - the Logic of Reality or “Logos” - as True Logic is and as truly coherent things like Logic must be) and imaginary. R: BUT: That cannot be the case that Logic is limited to human reasoning (that is itself limited and contingent upon higher forms and orders of Order, Logic, and Reason, such as the Logos - the Highest Order of Logic). S: SINCE: Logic is not arbitrary and Reason is observed in animals and in the Order of the Universe which itself displays a profound coherence and unity at the highest most macroscopic level. This is supported by the entire body of logically coherent scientific evidence which itself relies on this Logos to be valid and coherent and which shows fine tuning and systems beyond man in Reality that exhibit an otherwise impossible (if not logically grounded) mix of coherence and complexity - which is consistent with Logic and Logic’s fundamental demand that A is A and all must be and (universally, and at least in some particular sense/context) equal all. Formal Argument (Logical Proof): {Q <-> P, ~P, ~P -> R, R <-> S} |= (~P & ~Q) & (R & S) Conclusion: The conclusion of not P and not Q but rather R and S holds true because it is not tenable that Logic is arbitrary and imaginary and only valid in the minds of humans. That would lead to logical contradiction and defies Logic. Logic is universal and universally comprehensive, as the Logical Foundation of Truth. Truth Table: valid ↓ ↓ ↓ ↓ ↓ PQRS⎪Q↔P ¬P ¬P→R R↔S╞(¬P&¬Q)&(R&S) ――――――――――――――――――――――――――――――――――― TTTT⎪TTT FT FTTT TTT FTFFT F TTT TTTF⎪TTT FT FTTT TFF FTFFT F TFF TTFT⎪TTT FT FTTF FFT FTFFT F FFT TTFF⎪TTT FT FTTF FTF FTFFT F FFF TFTT⎪FFT FT FTTT TTT FTFTF F TTT TFTF⎪FFT FT FTTT TFF FTFTF F TFF TFFT⎪FFT FT FTTF FFT FTFTF F FFT TFFF⎪FFT FT FTTF FTF FTFTF F FFF FTTT⎪TFF TF TFTT TTT TFFFT F TTT FTTF⎪TFF TF TFTT TFF TFFFT F TFF FTFT⎪TFF TF TFFF FFT TFFFT F FFT FTFF⎪TFF TF TFFF FTF TFFFT F FFF FFTT⎪FTF TF TFTT TTT TFTTF T TTT FFTF⎪FTF TF TFTT TFF TFTTF F TFF FFFT⎪FTF TF TFFF FFT TFTTF F FFT FFFF⎪FTF TF TFFF FTF TFTTF F FFF

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.