Parts of Classes

by David Lewis

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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.
  • ISBN10 0631176551
  • ISBN13 9780631176558
  • Publish Date 10 January 1991
  • Publish Status Out of Print
  • Out of Print 13 January 1994
  • Publish Country GB
  • Publisher John Wiley and Sons Ltd
  • Imprint Blackwell Publishers
  • Format Hardcover
  • Pages 112
  • Language English