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    The realist (universal magnitudes) interpretation of meas... — Carmelics
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    The realist (universal magnitudes) interpretation of measurement axioms is more general than the empiricist interpretation

    Modality & PossibilityTruth & Knowledge
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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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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    Reasons Against

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    Reason against 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 against 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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    Related

    A formal system admitting more models—not fewer—is standardly considered more ge...A theory that entails more but applies to fewer actual measurement practices is ...Generality in formal systems requires not just additional entailments but greate...Suppes and Zinnes established that measurement axioms require only relations bet...
    +4 moreShow less
    The empiricist interpretation, by remaining neutral on second-order ontology, is...The realist interpretation additionally entails second-order claims about univer...The realist interpretation logically entails all first-order consequences of the...The realist interpretation's second-order claims about universal magnitudes intr...

    Similar

    The realist interpretation of measurement axioms yields explanatory hy...88%The realist interpretation additionally entails second-order claims ab...87%Under the realist interpretation of measurement axioms, measurement th...87%The realist interpretation logically entails all first-order consequen...80%

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    SEP: measurement-science
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    While their stance towards operationalism and conventionalism is largely critical, realists are more charitable in their assessment of mathematical theories of measurement. Brent Mundy (1987) and Chris Swoyer (1987) both accept the axiomatic treatment of measurement scales, but object to the empiricist interpretation given to the axioms by prominent measurement theorists like Campbell (1920) and Ernest Nagel (1931; Cohen and Nagel 1934: Ch. 15). Rather than interpreting the axioms as pertaining
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    Details

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    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit