set theory
English
Noun
set theory (usually uncountable, plural set theories)
- (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, 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.
- 1972, Peter W. Zehna, Robert Leo Johnson, Elements of Set Theory, Allyn & Bacon, page 4,
- (music) Musical set theory, a systematic approach to describing musical objects and their relationships.
Synonyms
- sets (informal)
Derived terms
Translations
mathematical theory of sets
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musical set theory