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    If scientific theories can achieve full empirical adequac... — Carmelics
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    Challenges→Mathematical theories are empirically confirmed

    If scientific theories can achieve full empirical adequacy without committing to mathematical entities, those entities are dispensable and receive no confirmational benefit.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Occam's Razor favors ontological parsimony: if two theories equally predict observations, the one positing fewer entities is preferable.
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    • 2.Mathematical entities lack causal powers and spatiotemporal location, making their role in explaining physical phenomena metaphysically suspicious.
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    • 3.Empirical adequacy is the proper epistemic standard for science; theoretical virtues beyond prediction don't justify belief in unobservables.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Mathematical structure may be indispensable to formulating empirically adequate theories, making the entities constituting that structure confirmable.
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    • 2.Explanatory power extends beyond prediction; mathematical entities provide genuine explanation of why theories work, justifying their confirmation.
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    • 3.Full empirical adequacy without mathematics may be theoretically impossible—we cannot coherently formulate physics without mathematical ontology.
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    Connections

    1 linked claim · 2 topics

    Truth & Knowledge1 linkedModality & Possibility1 linked
    Mathematical theories are empirically confirmed

    Related

    Empirical adequacy is the proper epistemic standard for science; theoretical vir...Explanatory power extends beyond prediction; mathematical entities provide genui...Full empirical adequacy without mathematics may be theoretically impossible—we c...Mathematical entities lack causal powers and spatiotemporal location, making the...
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    Mathematical structure may be indispensable to formulating empirically adequate ...Mathematical theories are empirically confirmedOccam's Razor favors ontological parsimony: if two theories equally predict obse...

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    Perspectives
    2 (1 for, 1 against)
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