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    Priest's dialetheism accepts that some contradictions—inc... — Carmelics
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    Challenges→Certain paradoxes arise from attempting to form an illegitimate totality by collecting into a single totality a collection whose members presuppose the existence of that totality

    Priest's dialetheism accepts that some contradictions—including the Liar—are true, rendering paradox-avoidance an optional rather than mandatory theoretical virtue.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Classical logic's paradox-avoidance forces ad-hoc restrictions (like type hierarchies) that artificially limit expressive power without solving underlying issues.
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    • 2.The Liar sentence ('this statement is false') is self-referential and grammatically well-formed; rejecting it requires explaining why syntax permits what semantics forbids.
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    • 3.Accepting true contradictions in isolated cases is less costly than revising core logical laws that govern all inference across mathematics and science.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.If contradictions can be true, explosion (deriving anything from A and ¬A) threatens rational discourse unless paraconsistency severely restricts inference rules.
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    • 2.Calling paradox-avoidance 'optional' conflates logical consistency with aesthetic preference; consistency remains necessary for distinguishing truth from arbitrary claims.
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    • 3.Dialetheism lacks clear criteria for which contradictions are acceptable, risking a slide toward incoherence masquerading as metaphysical insight.
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    Truth & Knowledge1 linkedModality & Possibility1 linked

    Related

    Accepting true contradictions in isolated cases is less costly than revising cor...Calling paradox-avoidance 'optional' conflates logical consistency with aestheti...Certain paradoxes arise from attempting to form an illegitimate totality by coll...Classical logic's paradox-avoidance forces ad-hoc restrictions (like type hierar...
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    Dialetheism lacks clear criteria for which contradictions are acceptable, riskin...If contradictions can be true, explosion (deriving anything from A and ¬A) threa...The Liar sentence ('this statement is false') is self-referential and grammatica...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
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    1 edit