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  1. Classicism.Andrew Bacon & Cian Dorr - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press. pp. 109-190.
    This three-part chapter explores a higher-order logic we call ‘Classicism’, which extends a minimal classical higher-order logic with further axioms which guarantee that provable coextensiveness is sufficient for identity. The first part presents several different ways of axiomatizing this theory and makes the case for its naturalness. The second part discusses two kinds of extensions of Classicism: some which take the view in the direction of coarseness of grain (whose endpoint is the maximally coarse-grained view that coextensiveness is sufficient for (...)
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  • Causation and fact granularity.Dan Marshall - 2021 - Synthese 199 (3-4):8029-8045.
    According to the modal theory of facts and states of affairs, two facts or states of affairs are identical iff they are necessarily equivalent. One important argument against the modal theory is the causal argument of John Perry, which can also be applied with equal strength to a number of more moderate-grain theories of facts and states of affairs. I argue that, at least in its original form, the causal argument is unsound. I also argue that, while the argument can (...)
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  • An Argument For Necessitism.Jeremy Goodman - 2016 - Philosophical Perspectives 30 (1):160-182.
    This paper presents a new argument for necessitism, the claim that necessarily everything is necessarily something. The argument appeals to principles about the metaphysics of quantification and predication which are best seen as constraints on reality’s fineness of grain. I give this argument in section 4; the impatient reader may skip directly there. Sections 1-3 set the stage by surveying three other arguments for necessitism. I argue that none of them are persuasive, but I think it is illuminating to consider (...)
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  • Modal Pluralism and Higher‐Order Logic.Justin Clarke-Doane & William McCarthy - 2022 - Philosophical Perspectives 36 (1):31-58.
    In this article, we discuss a simple argument that modal metaphysics is misconceived, and responses to it. Unlike Quine's, this argument begins with the simple observation that there are different candidate interpretations of the predicate ‘could have been the case’. This is analogous to the observation that there are different candidate interpretations of the predicate ‘is a member of’. The argument then infers that the search for metaphysical necessities is misguided in much the way the ‘set-theoretic pluralist’ claims that the (...)
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  • Classical Opacity.Michael Caie, Jeremy Goodman & Harvey Lederman - 2019 - Philosophy and Phenomenological Research 101 (3):524-566.
    Philosophy and Phenomenological Research, EarlyView.
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  • A Theory of Necessities.Andrew Bacon & Jin Zeng - 2022 - Journal of Philosophical Logic 51 (1):151-199.
    We develop a theory of necessity operators within a version of higher-order logic that is neutral about how fine-grained reality is. The theory is axiomatized in terms of the primitive of *being a necessity*, and we show how the central notions in the philosophy of modality can be recovered from it. Various questions are formulated and settled within the framework, including questions about the ordering of necessities under strength, the existence of broadest necessities satisfying various logical conditions, and questions about (...)
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