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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 Allowing existential facts about individuals to constitute truths about universals collapses the type-distinction between first-order and second-order predication.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Existential facts about individuals can ground universals without erasing the logical distinction between levels of predication.
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    • 2.Type theory itself distinguishes predicates *semantically*, not *ontologically*—allowing facts to constitute truths across types.
      ?

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    • 3.Many logically sound frameworks (like higher-order logic) permit cross-type relationships without collapsing meaningful distinctions.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.First-order predicates apply to individuals; second-order predicates apply to properties. Mixing them violates logical type theory.
      ?

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    • 2.If individual facts determine universal truths, we lose the distinction between 'Socrates is wise' and 'Wisdom exists.'
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    • 3.Type-distinctions prevent paradoxes like self-reference. Collapsing them threatens logical consistency.
      ?

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