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    Home/Original/inverse
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    Inverse View

    It is not the case that Mathematical singular terms occur in canonical scientific theories whose indispensability is argued by Quine-Putnam, giving them stronger ontological pressure than propositional terms.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Mathematical terms may be instrumentally indispensable without being ontologically committed—they could be useful fictions or notational conveniences.
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    • 2.The indispensability argument conflates pragmatic utility in theory with genuine ontological commitment to the entities those theories mention.
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    • 3.Propositional terms also appear indispensably in semantic, logical, and epistemic theories foundational to all science, matching mathematics' status.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Quine-Putnam indispensability argument shows mathematical objects are necessary for our best scientific theories to function.
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    • 2.Scientific theories quantify over numbers/sets with no plausible paraphrasing away these commitments without loss of explanatory power.
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    • 3.Propositional entities lack the same systematic indispensability; we can often rephrase propositions without harming scientific content.
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