Existence and Strong Uncountability

Acta Analytica 32 (3):321-331 (2017)
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Abstract

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 and defends the orthodox connection between existence and number. He argues that if there is any stuff, there is a number of portions of stuff. Sider also rejects a stuff ontology, claiming it is incompatible with his preferred view that the familiar quantifiers of predicate logic carve at nature’s joints. Against these arguments, I defend the uncountability of stuff and the possibility of existence without countability. If to be is to be countable, more is needed than the arguments that Olson and Sider provide.

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Author's Profile

Jonah Goldwater
College of William and Mary

Citations of this work

How Many there Are Isn’t.Jonah P. B. Goldwater - 2020 - Philosophia 48 (3):1037-1057.

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References found in this work

Writing the Book of the World.Theodore Sider - 2011 - Oxford, England: Oxford University Press.
On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
Four Dimensionalism.Theodore Sider - 1997 - Philosophical Review 106 (2):197-231.
Possibility of Metaphysics: Substance, Identity, and Time.E. J. Lowe - 1998 - Oxford, GB: Oxford University Press UK.

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