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    Home/Original/inverse
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    Inverse View

    It is not the case that The realist (universal magnitudes) interpretation of measurement axioms is more general than the empiricist interpretation

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Generality in formal systems requires not just additional entailments but greater explanatory scope over the target domain.
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    • 2.The realist interpretation's second-order claims about universal magnitudes introduce ontological commitments that restrict its application to domains where such universals are contentious.
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    • 3.A theory that entails more but applies to fewer actual measurement practices is less general in the philosophically relevant sense, per Quine's criterion of ontological parsimony.
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    Reason for 2 of 2
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    • 1.Suppes and Zinnes established that measurement axioms require only relations between empirical objects, making representational adequacy the criterion of generality.
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    • 2.The empiricist interpretation, by remaining neutral on second-order ontology, is interpretable across a strictly wider range of scientific frameworks including nominalist ones.
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    • 3.A formal system admitting more models—not fewer—is standardly considered more general, and the realist interpretation's universal magnitudes exclude nominalist models the empiricist accepts.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.The realist interpretation logically entails all first-order consequences of the empiricist interpretation
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    • 2.The realist interpretation additionally entails second-order claims about universal magnitudes that the empiricist interpretation does not capture
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