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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 If the logic of properties used in P3 already treats coextensive properties as identical, extensionality is a hidden postulate smuggled into the definiens, not derived from it.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Coextensionality (same extension) is distinct from identity; treating them as identical requires a separate argument, not a hidden postulate.
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    • 2.P3's logic can consistently distinguish coextensive non-identical properties while remaining neutral on whether they should be identified.
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    • 3.Showing that a framework permits extensionality doesn't prove extensionality was presupposed rather than independently justified by P3.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Property identity criteria in formal logic typically presuppose extensionality when defining coextensional properties as equivalent.
      ?

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    • 2.If P3's definiens relies on a property logic that already identifies coextensive properties, then extensionality isn't derived but assumed.
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    • 3.Circular reasoning occurs when the conclusion (extensionality) is embedded in the logical machinery used to establish the premises.
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