Parts of Classes

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Parts of Classes image
ISBN-10:

063117656X

ISBN-13:

9780631176565

Author(s): Lewis, David K.
Edition: 1
Released: Sep 02, 1991
Publisher: Wiley/Blackwell
Format: Paperback, 168 pages
Related ISBN: 9780631176558

Description:

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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