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    Weyl conflates the representational indispensability of m... — Carmelics
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    Challenges→The metric structure of the world cannot be a rigid, fixed geometrical structure, but must itself be something real that both exerts effects on matter and is affected by matter.

    Weyl conflates the representational indispensability of metric structure with its ontological dynamism, a move Quine's criterion of ontological commitment does not license.

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    Reasons For

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    Reason for
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    • 1.Quine's criterion demands ontological commitment only for entities quantified over in indispensable theories, not for all representational tools used.
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    • 2.Metric structure can be representationally necessary for formulating physics without being a dynamic entity that actually exists and changes.
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    • 3.Weyl's argument conflates usefulness in description with claims about what fundamentally exists and evolves in nature.
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    Reasons Against

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    Reason against
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    • 1.If metric structure is genuinely indispensable to our best physics, Quine's criterion actually *requires* ontological commitment to it.
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    • 2.Weyl's dynamism about metric structure follows naturally from General Relativity, where metric evolves with spacetime itself—not a conflation.
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    • 3.The distinction between representational indispensability and ontological commitment collapses once we deny mathematical Platonism about structures.
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    Related

    If metric structure is genuinely indispensable to our best physics, Quine's crit...Metric structure can be representationally necessary for formulating physics wit...Quine's criterion demands ontological commitment only for entities quantified ov...The distinction between representational indispensability and ontological commit...
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    The metric structure of the world cannot be a rigid, fixed geometrical structure...Weyl's argument conflates usefulness in description with claims about what funda...Weyl's dynamism about metric structure follows naturally from General Relativity...

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    2 (1 for, 1 against)
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