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    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    321,452
    Perspectives
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    42
    Home/Original/inverse
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    Inverse View

    It is not the case that If 'not all beliefs are true' is true, then Protagoras' doctrine that all beliefs are true is false.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Protagoras may mean 'true-for-the-believer,' not objectively true, making the claim immune to standard logical refutation.
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    • 2.The statement 'not all beliefs are true' doesn't necessarily negate Protagoras; it could mean 'not all are true-for-everyone' instead.
      ?

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    • 3.Meta-level claims about belief-systems differ in logical type from first-order beliefs, so standard contradiction rules may not apply.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Protagoras claims 'all beliefs are true'; this is itself a belief about beliefs that can be evaluated for truth.
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    • 2.If any belief can be false, then the universal claim 'all beliefs are true' is demonstrably false by counterexample.
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    • 3.Logic requires that contradictory propositions cannot both be true; thus one of these must be false.
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