Lewis, David K. Parts of Classes

ISBN 13: 9780631176565

Parts of Classes

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9780631176565: Parts of Classes
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Does the notion of part and whole have any application to classes? Lewis argues that it does, and that the smallest parts of any class are its one-membered "singleton" subclasses. That results in a reconception of set theory. The set-theoretical making of one out of many is just the composition of one whole out of many parts. But first, one singleton must be made out of its one member - this is the distinctively set-theoretical primitive operation. Thus set theory is entangled, with mereology: the theory of parts and wholes.

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9780631176558: Parts of Classes

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ISBN 10: 0631176551 ISBN 13: 9780631176558
Publisher: Wiley–Blackwell, 1991
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Lewis, David K.
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ISBN 10: 063117656X ISBN 13: 9780631176565
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