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It is not the case that 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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Reasons For
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Reason for
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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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Reasons Against
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Reason against
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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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