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    Carmelics

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    Inverse View

    It is not the case that The simple theory of types can serve as a prototypical formal property theory

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Frege and Church showed that typed systems individuate properties extensionally at each type level, collapsing distinct co-extensive properties into one.
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    • 2.Properties are intensional entities individuated by meaning or essence, not extension, as Carnap's distinction between intension and extension establishes.
      ?

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    • 3.A framework that cannot distinguish necessarily co-extensive properties like 'triangular' and 'trilateral' fails as a prototypical property theory.
      ?

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    Reason for 2 of 2
    ?
    • 1.The simple theory of types prohibits self-predication, yet many properties plausibly apply to themselves (e.g., being abstract is itself abstract).
      ?

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    • 2.A property theory that structurally blocks self-predication cannot serve as a general theory of properties without stipulating away core cases.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.The simple theory of types arranges properties into a hierarchy of types
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      Think about whether this reason is strong or weak

    • 2.This hierarchy allows predicates to appear in subject position when higher-type predicates are predicated of them
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    • 3.The simple theory of types, if the principle of extensionality is set aside, captures the structure needed for a property theory
      ?

      Think about whether this reason is strong or weak

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    Strongest counterpoint
    Explore the most compelling reason on the other side.
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