Can All Things Be Counted?

Journal of Philosophical Logic 50 (5):1079-1106 (2021)
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Abstract

In this paper, I present and motivate a modal set theory consistent with the idea that there is only one size of infinity.

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10.1007/s10992-021-09593-w

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Chris Scambler
New York University

Citations of this work

In defense of Countabilism.David Builes & Jessica M. Wilson - 2022 - Philosophical Studies 179 (7):2199-2236.
Varieties of Class-Theoretic Potentialism.Neil Barton & Kameryn J. Williams - 2024 - Review of Symbolic Logic 17 (1):272-304.
Arithmetic is Necessary.Zachary Goodsell - 2024 - Journal of Philosophical Logic 53 (4).
Mathematical Modality: An Investigation in Higher-order Logic.Andrew Bacon - 2024 - Journal of Philosophical Logic 53 (1):131-179.

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References found in this work

Frege.Michael Dummett - 1991 - Cambridge: Harvard University Press.
An Introduction to Modal Logic.George Edward Hughes & M. J. Cresswell - 1968 - London, England: Methuen. Edited by M. J. Cresswell.
Thin Objects: An Abstractionist Account.Øystein Linnebo - 2018 - Oxford: Oxford University Press.
The potential hierarchy of sets.Øystein Linnebo - 2013 - Review of Symbolic Logic 6 (2):205-228.
First-Order Modal Logic.Melvin Fitting & Richard L. Mendelsohn - 1998 - Dordrecht, Netherland: Kluwer Academic Publishers.

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