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    Carmelics

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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that The historical belief in naive set comprehension (pre-Russell) shows agents can hold contradictory beliefs without suspending propositional assent.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Pre-Russell mathematicians suspended comprehension assent once Russell's paradox was published, suggesting they did not truly hold the contradictory belief.
      ?

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    • 2.Failure to recognize contradiction differs from tolerating it; agents may hold contradictory beliefs only through ignorance, not genuine acceptance.
      ?

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    • 3.The claim conflates psychological fact (agents can be inconsistent) with philosophical claim (contradiction is rationally permissible), which are distinct issues.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Pre-Russell mathematicians accepted comprehension axiom and derived contradictions without rejecting either belief, showing tolerance for contradiction.
      ?

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    • 2.Cognitive capacity limits mean agents can hold inconsistent beliefs in separate mental compartments without recognizing their incompatibility.
      ?

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    • 3.Historical practice reveals agents distinguish between assenting to a belief and assenting to its logical consequences, enabling contradiction tolerance.
      ?

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