Leibniz on Wholes, Unities, and Infinite Number

The Leibniz Review 10:21-51 (2000)
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
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DOI 10.5840/leibniz2000102
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Gregory Brown (2005). Leibniz's Mathematical Argument Against a Soul of the World. British Journal for the History of Philosophy 13 (3):449 – 488.
Adam Harmer (2014). Leibniz on Infinite Numbers, Infinite Wholes, and Composite Substances. British Journal for the History of Philosophy 22 (2):236-259.

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