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    A doctrine refuted by its own application to itself is se... — Carmelics
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    Supports→Protagoras' view that all beliefs are true entails a contradiction

    A doctrine refuted by its own application to itself is self-contradictory — this is Plato's peritrope argument in Theaetetus 171a.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.If a doctrine denies the law of non-contradiction, applying it to itself reveals logical incoherence, demonstrating its falsity.
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    • 2.Self-refuting arguments expose hidden assumptions; a doctrine that cannot survive its own scrutiny lacks rational credibility.
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    • 3.The peritrope method efficiently eliminates incoherent positions without requiring external evidence, making it a powerful logical tool.
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    Reasons Against

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    • 1.Some doctrines may be self-referentially exempt (like 'truth is relative except for this statement'), avoiding genuine self-contradiction.
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    • 2.A doctrine's practical incoherence when applied to itself doesn't prove it false—only that strict self-application may exceed its intended scope.
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    • 3.The peritrope assumes a single logical framework; doctrines from different frameworks may appear self-contradictory only under hostile translation.
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    Truth & Knowledge1 linkedSkepticism1 linked

    Related

    A doctrine's practical incoherence when applied to itself doesn't prove it false...If a doctrine denies the law of non-contradiction, applying it to itself reveals...Protagoras' view that all beliefs are true entails a contradictionSelf-refuting arguments expose hidden assumptions; a doctrine that cannot surviv...
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    Some doctrines may be self-referentially exempt (like 'truth is relative except ...The peritrope assumes a single logical framework; doctrines from different frame...The peritrope method efficiently eliminates incoherent positions without requiri...

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