Leibniz and Cantor on the actual infinite

Abstract

I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not, I do not say divisible, but actually divided; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.

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2009-01-28

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Richard T. W. Arthur
McMaster University

Citations of this work

Leibniz’s Argument Against Infinite Number.Filippo Costantini - 2019 - History of Philosophy & Logical Analysis 22 (1):203-218.

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