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    A formal system that requires quantification over a domai... — Carmelics
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    Challenges→Possible world semantics can be regarded as an ontologically inert formal instrument rather than a metaphysically substantive framework.

    A formal system that requires quantification over a domain carries commitment to that domain's existence, regardless of the theorist's instrumental intentions.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Quantification in formal systems uses existential claims with logical structure that presupposes domain objects as referents.
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    • 2.The syntax and semantics of quantified formulas require interpretation models where variables range over actual entities.
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    • 3.Instrumental use doesn't eliminate ontological commitment—merely employing a tool that assumes X still commits one to X.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Quantification can be formalized over empty domains or fictional domains without metaphysical commitment to them.
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    • 2.Theorists can adopt instrumental stances that treat quantification as useful notation without endorsing what appears quantified.
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    • 3.Distinguishing between formal system requirements and philosopher's ontological commitments preserves interpretive freedom.
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    2 topics

    Modality & Possibility1 linkedPhilosophy of Language1 linked

    Related

    Distinguishing between formal system requirements and philosopher's ontological ...Instrumental use doesn't eliminate ontological commitment—merely employing a too...Possible world semantics can be regarded as an ontologically inert formal instru...Quantification can be formalized over empty domains or fictional domains without...
    +3 moreShow less
    Quantification in formal systems uses existential claims with logical structure ...The syntax and semantics of quantified formulas require interpretation models wh...Theorists can adopt instrumental stances that treat quantification as useful not...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit