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Identity, Quantification, and Number

In T. Tahko (ed.), Contemporary Aristotelian Metaphysics. Cambridge University Press. pp. 66-82 (2012)

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  1. Difference, Identity and Quantification.Nicholas Mantegani - 2014 - Dialectica 68 (2):183-207.
    Most theorists treat the ‘relation’ of identity as being more fundamental (or basic) than the ‘relation’ of (numerical) difference. Herbert Hochberg suggests, instead, that difference is to be treated as basic. My goal in this paper is to answer two related questions. First, what is it for a theorist to treat difference or identity as basic? Second, which of these two ‘relations’ is to be treated as basic? I begin by outlining four reasons that one might be motivated to endorse (...)
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  • How Many there Are Isn’t.Jonah P. B. Goldwater - 2020 - Philosophia 48 (3):1037-1057.
    A world where there exists n concrete things is a count-determinate world. The orthodox view is count-determinacy is necessary; if to be is to be the value of a variable and the domain of quantification is enumerable, count-determinacy follows. Yet I argue how many there are can be indeterminate; count-indeterminacy is metaphysically possible and even likely actual. Notably, my argument includes rebuttals of Evans’ reductio of indeterminate identity and the Lewis/Sider ‘argument from vagueness’. Count-indeterminacy should therefore be recognized as another (...)
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  • Existence and Strong Uncountability.Jonah P. B. Goldwater - 2017 - Acta Analytica 32 (3):321-331.
    On the standard view for something to exist is for one thing to exist: in slogan form, to be is to be countable. E.J. Lowe argues something can exist without being countable as one, however. His primary example is homogenous “stuff,” i.e., qualitatively uniform and infinitely divisible matter. Lacking nonarbitrary boundaries and being everywhere the same, homogenous stuff lacks a principle of individuation that would yield countably distinct constituents. So, for Lowe, homogenous stuff is strongly uncountable. Olson rejects Lowe’s view (...)
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  • New powers for Dispositionalism.Giacomo Giannini - 2021 - Synthese 199:2671-2700.
    Establishing Dispositionalism as a viable theory of modality requires the successful fulfilment of two tasks: showing that all modal truths can be derived from truths about actual powers, and offering a suitable metaphysics of powers. These two tasks are intertwined: difficulties in one can affect the chances of success in the other. In this paper, I generalise an objection to Dispositionalism by Jessica Leech and argue that the theory in its present form is ill-suited to account for de re truths (...)
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