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    Carmelics

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    Home/Original/inverse
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    Inverse View

    It is not the case that Frege's context principle permits number-words to contribute to sentence truth conditions without requiring corresponding objects in the domain.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.If number-words contribute to truth-conditions, compositional semantics requires assigning them content independent of sentential context.
      ?

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    • 2.The context principle, taken literally, makes it mysterious how sentences about numbers have determinate truth-values at all.
      ?

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    • 3.Mathematical discourse presupposes quantification over numbers; truth-conditions require such objects exist in the domain.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Sentence meaning is semantically fundamental; reference to objects is derivative and explanatorily secondary to sentential context.
      ?

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    • 2.Numbers demonstrably affect truth-conditions of sentences without requiring platonist commitment to abstract objects.
      ?

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    • 3.The context principle dissolves traditional ontological puzzles by shifting analysis from terms to whole sentences.
      ?

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