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    Fictionalism's attempt to preserve literal truth without ... — Carmelics
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    Challenges→The sentence 'There are infinitely many prime numbers' can be literally true even though there are no such things as numbers.

    Fictionalism's attempt to preserve literal truth without ontological commitment collapses the distinction between true and merely useful fictions, undermining the normative force of mathematical proof.

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    Key Terms

    Literal truth(what fictionalism attempts to preserve)
    A statement that is true in a straightforward, factual way—not metaphorical or approximate, but actually describing what exists.
    Mathematical proof(the specific thing being undermined)
    A logical demonstration that shows a mathematical statement must be true, using accepted rules and previously proven facts.
    fictionalism(Response to the platonist singular term argument)
    The view that sentences entailing the existence of properties or relations are not literally true because no such things exist, though they may still be used colloquially to make essentially accurate claims about the world
    normative force(Used to describe what Korsgaard's account aims to explain)
    The property in virtue of which an agent's reasons are binding on the agent.

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    ontological commitment(Used to derive that literal truth of 'a is F' entails existence of a)
    The criterion by which acceptance of a sentence as literally true commits one to the existence of the objects referred to by singular terms in that sentence, provided the sentence cannot be paraphrased away.

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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

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    The sentence 'There are infinitely many prime numbers' can be literally true eve...

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