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    Graham Priest's dialetheism, which accepts true contradic... — Carmelics
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    Challenges→The ex falso quodlibet — (A ∧ ¬A) → B — is not logically valid in relevant logic

    Graham Priest's dialetheism, which accepts true contradictions, undermines the relevantist motivation: if some contradictions are true, ex falso fails for different reasons than VSP supplies.

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    Key Terms

    Ex falso(as a controversial logical principle)
    A Latin phrase meaning 'from a falsehood'; it refers to the logical rule that if you start with a contradiction, you can prove anything is true (which most logicians think is bad).
    Graham Priest(mentioned as a philosopher with a specific theory)
    A contemporary philosopher who studies logic and paradoxes, famous for arguing that some contradictions can actually be true at the same time.
    Relevantism(as an alternative logical theory)
    A school of logic that says for an argument to be valid, the premises must actually be relevant or connected to the conclusion—you can't just use any true statements.
    True contradictions(what dialetheism claims exists)
    Statements that contradict each other but are both actually true at the same time—something most people think is impossible.

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    VSP(as a technical acronym in logic)
    An abbreviation for a specific logical principle or property (the exact name varies, but it's a formal rule that logicians debate).
    dialetheism(Philosophy of logic; advanced as an interpretation of the Liar paradox)
    The view that some contradictions are true; that there exist statements which are both true and false simultaneously.

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    Modality & Possibility1 linkedPhilosophy of Language1 linked

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    The ex falso quodlibet — (A ∧ ¬A) → B — is not logically valid in relevant logic

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