Maclain Hunter' authored proof preserved from its first-party proof-base source.
Continuum Hypothesis Refutation by Maclain Hunter P: CH invalidly says set S may not exist as S. Q: CH -> ~((A is A) & (S -> S)); (CH -> ~S) -> (S -> ~CH) R: S -> S |= S -> S S: Flaws (ie - ZFC; ~(Logos = Axiom)) |= CH's denial of A is A. S is valid. CH is CH in absurdity. FORMAL PROOF: {P, P -> Q, Q -> R, R -> S} |= (P & Q) & (R & S) INTERPRETATION: The Continuum Hypothesis, when confronted with Logos-grounded identity (A = A), collapses into absurdity. CH claims that a set S "may or may not" exist in a certain cardinality state - but this violates the Law of Identity. If S exists, then S = S. This is non-negotiable in Logos-grounded logic. ZFC set theory's flaw (~(Logos = Axiom)) is what enables CH's paradoxical status. When axioms are grounded in Logos, CH's "independence" becomes incoherence. Q.E.D.
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Continuum Hypothesis Refutation by Maclain Hunter
P: CH invalidly says set S may not exist as S.
Q: CH -> ~((A is A) & (S -> S)); (CH -> ~S) -> (S -> ~CH)
R: S -> S |= S -> S
S: Flaws (ie - ZFC; ~(Logos = Axiom)) |= CH's denial of A is A. S is valid. CH is CH in absurdity.
FORMAL PROOF:
{P, P -> Q, Q -> R, R -> S} |= (P & Q) & (R & S)
INTERPRETATION:
The Continuum Hypothesis, when confronted with Logos-grounded identity (A = A), collapses into absurdity.
CH claims that a set S "may or may not" exist in a certain cardinality state - but this violates the Law of Identity.
If S exists, then S = S. This is non-negotiable in Logos-grounded logic.
ZFC set theory's flaw (~(Logos = Axiom)) is what enables CH's paradoxical status.
When axioms are grounded in Logos, CH's "independence" becomes incoherence.
Q.E.D.Genre: proof.
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Essence: Continuum Hypothesis Refutation retains its exact stored text, declared authorship, source identity, and fingerprint.
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Retrieval aliases: Continuum Hypothesis Refutation · Q1077
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