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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that The existential quantifier in 'would entail the existence of' conflates constructive and non-constructive existence, a distinction central to intuitionist mathematics.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.The phrase 'would entail existence' is itself a modal/counterfactual claim, not a direct assertion of existence requiring constructivism.
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    • 2.Different logical frameworks can coexist without 'conflation' if the context or metalanguage clarifies which notion of existence applies.
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    • 3.Many philosophers and mathematicians use classical and intuitionistic logic in different domains without confusing their distinct standards.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Intuitionist mathematics fundamentally requires constructive proof; asserting existence without construction violates this core principle.
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    • 2.Classical logic's existential quantifier presupposes the law of excluded middle, which intuitionists reject as non-constructive.
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    • 3.Conflating these existences obscures whether a claimed entity can actually be exhibited or only theoretically follows from axioms.
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