Leibniz’s Argument Against Infinite Number

History of Philosophy & Logical Analysis 22 (1):203-218 (2019)
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Abstract

This paper deals with Leibniz’s well-known reductio argument against the infinite number. I will show that while the argument is in itself valid, the assumption that Leibniz reduces to absurdity does not play a relevant role. The last paragraph of the paper reformulates the whole Leibnizian argument in plural terms to show that it is possible to derive the contradiction that Leibniz uses in his argument even in the absence of the premise that he refutes.

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Filippo Costantini
Centre National de la Recherche Scientifique

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References found in this work

Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.
The iterative conception of set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.

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