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    Carmelics

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    Prior's substitutional account of propositional quantific... — Carmelics
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    Challenges→Simple Type Theory (STT) gives rise to Russell's Appendix B paradox when supplemented with the principle that propositions differing by a constituent are distinct propositions and a correlation of propositions with classes they mention.

    Prior's substitutional account of propositional quantification in 'Objects of Thought' shows STT's paradox depends on a realist ontology of propositions that is independently contestable.

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    Key Terms

    Independently contestable(Describing whether this premise can be questioned)
    Open to being challenged or doubted on its own, separate from other arguments—it's not automatically true just because other things are true.
    Ontology(Carnap argues this enterprise is based on a mistake)
    The philosophical discipline that tries to answer hard questions about what there really is.
    Prior, Arthur(the philosopher being referenced)
    A 20th-century philosopher who specialized in logic and the philosophy of time; he argued that time is real and affects how we should think about truth and meaning.
    Realist ontology(describing Ingarden's position)
    A philosophical view that says things exist independently of whether anyone is thinking about them or experiencing them—the world is 'out there' whether we're looking or not.

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    STT's paradox(a problem that depends on certain assumptions about propositions)
    A logical puzzle or contradiction (the specific abbreviation 'STT' refers to a particular formal system, but the key point is that it's a problem that arises in certain logical frameworks).
    Substitutional account(Prior's approach to understanding propositional quantification)
    A way of understanding how quantifiers (words like 'all' or 'some') work by thinking about substituting different things into a sentence, rather than assuming those things exist in a deep metaphysical sense.
    propositional quantification(Prior's (1971) system supplementing propositional logic with a propositional quantifier that binds propositional letters)
    A species of non-nominal quantification, specifically quantification into sentence position, distinct from objectual quantification over propositions and substitutional quantification over sentences

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    2 topics

    Modality & Possibility1 linkedPhilosophy of Language1 linked

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    Simple Type Theory (STT) gives rise to Russell's Appendix B paradox when supplem...

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