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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that Frege and later Quine showed that quantification over empty domains undermines classical universal claims, making Bolzano's substitutional criterion domain-sensitive.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Free logic successfully handles empty domains without abandoning classical universal claims, showing domain-sensitivity is avoidable, not inevitable.
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    • 2.Quine conflated substitutional semantics with domain-dependent quantification; substitutional approaches need not reference external domains at all.
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    • 3.Frege's distinction between sense and reference doesn't demonstrate that Bolzano's criterion fails—it shows sense can remain constant across domain variation.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Classical logic treats 'All unicorns are magical' as true when unicorns don't exist, but this violates intuitive truth-conditions dependent on domain membership.
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    • 2.Quine's criterion that quantifiers range over a domain makes substitutional claims about properties meaningless when that domain is empty or shifts.
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    • 3.Bolzano's original substitutional method assumed a fixed, non-empty domain; removing this assumption exposes latent domain-sensitivity in his logical framework.
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