set theory

set theory (uncountable)

  1. (mathematics) The mathematical theory of sets.
    • 1972, Peter W. Zehna, Robert Leo Johnson, Elements of Set Theory, Allyn & Bacon, page 4 ↗,
      We mentioned previously that certain paradoxes in set theory arose shortly after Cantor's works were published.
    • 1984, Robert Goldblatt, [;cc=math;idno=gold010;q1=Heyting%20algebra;view=image;seq=26;size=100;page=root Topoi, the categorial analysis of logic], p. 9
      The above argument, known as Russell's Paradox, was discovered by Bertrand Russell in 1901. Set theory itself began a few decades earlier with the work of George Cantor.
    • 1994, Yiannis N. Moschovakis, Notes on Set Theory, Springer, page 239 ↗,
      The serious study of models of axiomatic set theories depends heavily on methods from mathematical logic which are outside the scope of these Notes.
    • 2012, M. Randall Holmes, Thomas Forster, Thierry Libert, Alternative Set Theories, Dov M. Gabbay, Akihiro Kanimori, John Woods (editors), Sets and Extensions in the Twentieth Century, Elsevier (North-Holland), page 559 ↗,
      The one thing that all alternative set theories have in common is the fact that they are alternatives to ZF or ZFC.
  2. (music) Musical set theory, a systematic approach to describing musical objects and their relationships.
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