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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that Fictionalists like Hartry Field accept the same compositional semantics for mathematical sentences as platonists, making the semantic agreement a substantive theoretical commitment, not a trivial consequence.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.If fictionalists and platonists assign identical truth conditions, the semantics are determined by those conditions—making agreement logically inevitable, not substantive.
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    • 2.Compositional semantics for mathematical language (recursive rules from basic terms) is a minimal, conventional framework any adequate theory must adopt.
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    • 3.The real theoretical difference lies in ontology and truth-conditions, not semantics—semantic agreement is thus a consequence of shared linguistic meaning, not commitment.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Field's fictionalism rejects abstract objects while accepting compositional semantics, revealing a genuine theoretical divergence from platonism.
      ?

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    • 2.The shared compositional semantics requires explanation—it cannot be merely coincidental that fictionalists and platonists assign identical truth conditions.
      ?

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    • 3.This semantic agreement despite ontological disagreement demonstrates that fictionalism is a substantive position about mathematical reference, not trivial.
      ?

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