The principle of explosion is provable in classical logic.

the verdict

SUPPORTED

the evidence backs this

Recorded sources

3 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the principle of explosion is provable in classical logic?

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

Verdict: SUPPORTED · 3 sources for, 0 against · Last checked 31 Jul 2026

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Judged against reference works: claims of this kind are settled by reference works, not journal abstracts.

Evidence for · 3

Wikipedia: Principle of explosion

Reference article covering this claim directly

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Wikipedia: Principle of explosion. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Principle_of_explosion

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More for · 2

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

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

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math.stackexchange.com: Proof of the principle of explosion. (n.d.). math.stackexchange.com. https://math.stackexchange.com/questions/4966511/proof-of-the-principle-of-explosion

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

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

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plato.stanford.edu: Paraconsistent Logic (Stanford Encyclopedia of Philosophy). (n.d.). plato.stanford.edu. https://plato.stanford.edu/entrieS/logic-paraconsistent/

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first checked31 Jul 2026

judged → SUPPORTED · 7531 Jul 2026

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