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the claim
The principle of explosion is provable in classical logic.
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
3 sources for · 0 against

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

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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