Modal Space and Reality · 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.

Modal Space and Reality by Maclain Hunter Premises: P: Shared modal space exists in Modal Logic. Reality is a modal space (and necessary place). Q: Assume shared modal space exists in modal Logic as the most necessary shared space (and Reality is not an equal or greater shared modal space). R: That assumption in Q leads to contradiction where Reality is a less necessary shared space than shared modal space in Modal Logic. S: The proof for contradiction in Q and R supports P. T: We are ultimately extant in Modal Space - in Reality. Delusion, to handle counterexample, is a contingent space within the imagination that lacks modal necessity (in particular instances of delusion) but which still when instantiated exists then in the Modal Space (Reality; Logic; Rationality). Proof: {P, Q, Q -> R, R -> S, S -> P, (S & P) -> T} |= S -> (P & T) Truth Table: TTTTT⎪T TTT TTT TTT TTT TT TT TTT TTTTF⎪T TTT TTT TTT TTT FF TF TFF TTTFT⎪T TTT TFF FTT TFF TT FT TTT TTTFF⎪T TTT TFF FTT TFF TF FT TFF TTFTT⎪T TFF FTT TTT TTT TT TT TTT TTFTF⎪T TFF FTT TTT TTT FF TF TFF TTFFT⎪T TFF FTF FTT TFF TT FT TTT TTFFF⎪T TFF FTF FTT TFF TF FT TFF TFTTT⎪T FTT TTT TTT TTT TT TT TTT TFTTF⎪T FTT TTT TTT TTT FF TF TFF TFTFT⎪T FTT TFF FTT TFF TT FT TTT TFTFF⎪T FTT TFF FTT TFF TF FT TFF TFFTT⎪T FTF FTT TTT TTT TT TT TTT TFFTF⎪T FTF FTT TTT TTT FF TF TFF TFFFT⎪T FTF FTF FTT TFF TT FT TTT TFFFF⎪T FTF FTF FTT TFF TF FT TFF FTTTT⎪F TTT TTT TFF FFT TT TF FFT FTTTF⎪F TTT TTT TFF FFT TF TF FFF FTTFT⎪F TTT TFF FTF FFF TT FT FFT FTTFF⎪F TTT TFF FTF FFF TF FT FFF FTFTT⎪F TFF FTT TFF FFT TT TF FFT FTFTF⎪F TFF FTT TFF FFT TF TF FFF FTFFT⎪F TFF FTF FTF FFF TT FT FFT FTFFF⎪F TFF FTF FTF FFF TF FT FFF FFTTT⎪F FTT TTT TFF FFT TT TF FFT FFTTF⎪F FTT TTT TFF FFT TF TF FFF FFTFT⎪F FTT TFF FTF FFF TT FT FFT FFTFF⎪F FTT TFF FTF FFF TF FT FFF FFFTT⎪F FTF FTT TFF FFT TT TF FFT FFFTF⎪F FTF FTT TFF FFT TF TF FFF FFFFT⎪F FTF FTF FTF FFF TT FT FFT FFFFF⎪F FTF FTF FTF FFF TF FT FFF Valid QED

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.