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Basic Concepts of Set Theory

  • Barbara H. Partee
  • Alice Ter Meulen
  • Robert E. Wall
Part of the Studies in Linguistics and Philosophy book series (SLAP, volume 30)

Abstract

A set is an abstract collection of distinct objects which are called the members or elements of that set. Objects of quite different nature can be members of a set, e.g. the set of red objects may contain cars, blood-cells, or painted representations. Members of a set may be concrete, like cars, blood-cells or physical sounds, or they may be abstractions of some sort, like the number two, or the English phoneme /p/, or a sentence of Chinese. In fact, we may arbitrarily collect objects into a set even though they share no property other than being a member of that set. The subject matter of set theory and hence of Part A of this book is what can be said about such sets disregarding the actual nature of their members.

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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Barbara H. Partee
    • 1
  • Alice Ter Meulen
    • 2
  • Robert E. Wall
    • 3
  1. 1.Department of LinguisticsUniversity of MassachusettsAmherstUSA
  2. 2.Departments of Philosophy and LinguisticsIndiana UniversityBloomingtonUSA
  3. 3.Department of LinguisticsUniversity of TexasAustinUSA

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