Leibniz on Wholes, Unities, and Infinite Number

The Leibniz Review 10:21-51 (2000)
Authors
Gregory Brown
University of Houston
Abstract
One argument that Leibniz employed to rule out the possibility of a world soul appears to turn on the assumption that the very notion of an infinite number or of an infinite whole is inconsistent. This argument was considered in a series of three papers published in The Leibniz Review: in the first, by Laurence Carlin, the argument was delineated and analyzed; in the second, by myself, the argument was criticized and rejected; in the third, by Richard Arthur, an attempt was made to defend Leibniz’s argument against my criticisms. In the present paper, I take up the matter again in an attempt to clarify the issues involved and to defend my original criticisms of the argument against the objections raised by Arthur
Keywords History of Philosophy  Major Philosophers
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ISBN(s) 1524-1556
DOI 10.5840/leibniz2000102
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Citations of this work BETA

Leibniz on Infinite Numbers, Infinite Wholes, and Composite Substances.Adam Harmer - 2014 - British Journal for the History of Philosophy 22 (2):236-259.
Leibniz's Mathematical Argument Against a Soul of the World.Gregory Brown - 2005 - British Journal for the History of Philosophy 13 (3):449 – 488.

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