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the claim

The principle of explosion is provable in classical logic.

the verdict

SUPPORTED

the evidence backs this

confidence 75/100

Multiple authoritative logic sources and reference texts confirm that the principle of explosion is a valid theorem and can be proven within classical logic.

Evidence for · 3

Wikipedia: Principle of explosion

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Reference article covering this claim directly

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More for · 2

math.stackexchange.com: Proof of the principle of explosion

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Provides a step-by-step mathematical proof of the principle of explosion in propositional calculus.

plato.stanford.edu: Paraconsistent Logic (Stanford Encyclopedia of Philosophy)

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Explicitly states that classical logic is explosive, meaning an arbitrary contradiction entails any conclusion.

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first checked31 Jul 2026

judged → SUPPORTED · 7531 Jul 2026

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