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    Nominalist programs (Goodman, Field) demonstrate that lin... — Carmelics
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    Supports→Abstract objects posited by Mīmāṃsā linguistic realism do not really exist

    Nominalist programs (Goodman, Field) demonstrate that linguistic and mathematical practice can be reconstructed without positing abstract universals.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Nominalist reconstructions successfully formalize mathematics using only concrete objects and logical operations, avoiding ontological bloat.
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    • 2.If abstract universals aren't required to explain linguistic/mathematical behavior, parsimony favors their elimination per Occam's Razor.
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    • 3.Nominalist schemes show mathematics works instrumentally without commitment to Platonic existence, making realism metaphysically optional.
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    Reasons Against

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    • 1.Nominalist reconstructions (Field, Goodman) require artificial apparatus—proxy objects, inscriptions—that seem as ontologically costly as universals.
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    • 2.The success of nominalist programs remains limited to fragments of mathematics; higher set theory resists nominalist recasting without severe distortion.
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    • 3.Linguistic competence requires grasping abstract properties; nominalism struggles to explain how concrete tokens ground infinite productivity of language.
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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    Abstract objects posited by Mīmāṃsā linguistic realism do not really existIf abstract universals aren't required to explain linguistic/mathematical behavi...Linguistic competence requires grasping abstract properties; nominalism struggle...Nominalist reconstructions (Field, Goodman) require artificial apparatus—proxy o...
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    Nominalist reconstructions successfully formalize mathematics using only concret...Nominalist schemes show mathematics works instrumentally without commitment to P...The success of nominalist programs remains limited to fragments of mathematics; ...

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    claim
    Perspectives
    2 (1 for, 1 against)