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    If A and B are incommensurable rather than indifferent, t... — Carmelics
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    Challenges→The indifference relation generated by incommensurability is intransitive

    If A and B are incommensurable rather than indifferent, the inference in P2 is a category error that smuggles in transitivity violations artificially.

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    1 reason for
    1 reason against

    Reasons For

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    Reason for
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    • 1.Incommensurable values operate under different measurement criteria, making direct comparison logically incoherent.
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    • 2.Treating incommensurables as transitively comparable presupposes a common metric that doesn't exist between them.
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    • 3.Category errors occur precisely when logical operations assume conditions that violate the nature of the entities involved.
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    Reasons Against

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    Reason against
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    • 1.Incommensurability need not prevent rational preference ordering; we compare apples and oranges practically without metric reduction.
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    • 2.P2's inference may avoid category error by operating at a higher abstraction level, not claiming metric equivalence.
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    • 3.Calling something a category error requires showing the logical operation is *undefined*, not merely difficult or unusual.
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    Connections

    1 linked claim · 1 topic

    Modality & Possibility1 linked
    The indifference relation generated by incommensurability is intransitive

    Related

    Calling something a category error requires showing the logical operation is *un...Category errors occur precisely when logical operations assume conditions that v...Incommensurability need not prevent rational preference ordering; we compare app...Incommensurable values operate under different measurement criteria, making dire...
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    P2's inference may avoid category error by operating at a higher abstraction lev...The indifference relation generated by incommensurability is intransitiveTreating incommensurables as transitively comparable presupposes a common metric...

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    2 (1 for, 1 against)
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