Mind 128 (512):1117-1147 (2019)

Authors
Anat Schechtman
University of Wisconsin, Madison
Abstract
Many historical and philosophical studies treat infinity as an exclusively quantitative notion, whose proper domain of application is mathematics and physics. The main aim of this paper is to disentangle, by critically examining, three notions of infinity in the early modern period, and to argue that one—but only one—of them is quantitative. One of these non-quantitative notions concerns being or reality, while the other concerns a particular iterative property of an aggregate. These three notions will emerge through examination of three central figures in the period: Locke, Descartes, and Leibniz.
Keywords infinity  Descartes  Locke  Leibniz  quantity  number  space  being
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DOI 10.1093/mind/fzy034
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References found in this work BETA

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Totality and Infinity: An Essay on Exteriority.Emmanuel Levinas - 1961 - Distribution for the U.S. And Canada, Kluwer Boston.
An Essay Concerning Human Understanding.John Locke - 1979 - Revue Philosophique de la France Et de l'Etranger 169 (2):221-222.

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Citations of this work BETA

Descartes on the Infinity of Space Vs. Time.Geoffrey Gorham - 2018 - In Ohad Nachtomy & Reed Winegar (eds.), Infinity in Early Modern Philosophy. Berlin: Brill. pp. 45-61.
The Indefinite in the Descartes-More Correspondence.Tad M. Schmaltz - 2021 - British Journal for the History of Philosophy 29 (3):453-471.
Spinoza, Explained.Stephen Harrop - 2022 - Dissertation, Yale University

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