Authored proof knowledge base · The Logos Architecture
Logic Mandates MCB 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.
Logic Mandates MCB by Maclain Hunter
Premises:
P: One (1) and “1 ^ n = 1”
Q: Not one” (or “-1”) and “-1 ^ n = 1 or -1”
R: Coherence demands that the negation of Coherence (possible and even useful in contingent reasoning) opens the door logically and mathematically to MCB (Mathematically Coherent Binary) and computation centered on Logic, Coherence, the number one and its negation (-1), as well as that value (-1) applied to itself n number of times (ie - MCB exponentiation).
S: Assume the negation of the premises. Then MCB shouldn’t coherently exist as even a theory, yet it does. Therefore, we can be certain that MCB is a system of computation coherent with and mandated by Logic itself.
Formal Reasoning:
{P, P -> Q, Q -> R, R -> S, S -> P} |= (P & Q) & (R & S)
Conclusion: {P, Q, R, S}:
MCB is not arbitrary but mandated by Logic (ie - the Root of Existence and Computation in Logic), as exploring the nature of Coherence, identity, individuality, unity, and the number one, as well as their negation, reveals.
Truth Table Analysis:
PQRS⎪P P→Q Q→R R→S S→P╞(P&Q)&(R&S)
TTTT⎪T TTT TTT TTT TTT TTT T TTT
Q.E.D.
Lean 4 verification and timestamps
Read the actual kernel result, axiom dependencies, formal statements and source-bound timestamp · Machine-readable verification
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.