Maclain Hunter's formal theorem in the authored MCB formal registry, preserved as its exact structured source record.
∀c,t,e: mcbConditional(c,t,e) ∈ {t, e}
Primary Q URI: https://4p-engine.com/q/Q1061 · Reserved subdomain alias: https://q1061.4p-engine.com/
{
"name": "Conditional Determinism",
"formal": "∀c,t,e: mcbConditional(c,t,e) ∈ {t, e}",
"proof": "c.state ∈ {+1, -1} maps deterministically to branches",
"implementation": "mcbConditional(condition, thenBranch, elseBranch): MCBComputationUnit"
}Authored formal statement: ∀c,t,e: mcbConditional(c,t,e) ∈ {t, e}
Registered proof or implication: c.state ∈ {+1, -1} maps deterministically to branches
editorial_derivation proof sketch (conditional_concept), distinct from the record's authored source. Logic has its own evidence in reflexive demonstration: any denial, confirmation, observation, or counterexample presupposes identity and valid relation to count as evidence. Logic therefore grounds evidence rather than receiving authority from it. Empirical and documentary evidence can establish contingent instances and test applications, but cannot create, overrule, or exhaust Logic.
Bridge premise: Interpret the exact authored statement under the symbols, definitions, axioms, and inference rules declared in the Conditional Determinism registry record.
Consequence: If the registered formal derivation is valid under the declared system, it supports the authored statement: ∀c,t,e: mcbConditional(c,t,e) ∈ {t, e}
Proof limit: This editorial reading does not independently validate the axiom, theorem, implementation, empirical application, or broader interpretation.
Witness: The authored registry object records this formal statement: ∀c,t,e: mcbConditional(c,t,e) ∈ {t, e} Its registered proof or implication is: c.state ∈ {+1, -1} maps deterministically to branches
Disclosure: The presence of the statement and proof fields establishes what the source records, not that an independent checker has validated every step.
Proof limit: A source record alone does not establish code behavior or contingent consequences; those require their own implementation tests and claim-matched evidence.
Human: Fix the meanings of the symbols in Conditional Determinism; separate its declared premises from its conclusion; check each inference in the exact registered derivation.
Machine: Parse the structured source without rewriting it; validate the formal statement and each inference against the declared calculus; return unresolved symbols or unsupported transitions explicitly.
Contrast: An authored theorem statement is a claim in a source record; a verified theorem has also passed an independent derivation check.
Usage rule: Describe the genre and the exact statement first; report independent proof, implementation, empirical, and interpretive checks separately.
Example: Conditional Determinism records the authored statement and derivation; its registration alone is not an independent certificate.
Role: authored formal theorem in the MCB formal registry
Essence: ∀c,t,e: mcbConditional(c,t,e) ∈ {t, e} The exact structured registry object is the source record.
Logos relation: The registry situates deterministic mathematical relations within MCB's Logic/Coherence and Logos framework. This is the author's declared interpretation, distinct from checking each formal result.
Retrieval aliases: Conditional Determinism · maclain-hunter-mcb-conditional-determinism · ∀c,t,e: mcbConditional(c,t,e) ∈ {t, e} · Conditional Determinism MCB · MCB formal theorem
Evidence modes: exact structured authored source object · independent derivation check against the stated formal system · separate implementation tests where a code path is claimed
Criterion: Assess the exact formal statement and registered derivation under its declared symbols, premises, inference rules, and implementation scope; keep the source record distinct from independent verification.
Boundary: The exact structured source object from the authored MCB registry has been considered, vetted, and preserved. The module identifies Maclain Hunter as author. A registry entry and its publication do not independently certify its proof, implementation, empirical implications, or broader Logos interpretation; the verifier must inspect the source fields and the claim-matched evidence directly.
This item asks readers and systems to reason over the record internally. Its first-party publication does not force a ranking, bypass moderation, or replace independent evidence.
These are typed external concept links for discovery and comparison. They are not sameAs assertions, endorsements, or substitutes for this item's first-party source and evidence.