Dictionary

set theory en · NOUN

Pronunciation

• (Southern-England) audio

Meanings

1. (uncountable, usually) The mathematical theory of sets.
   • We mentioned previously that certain paradoxes in set theory arose shortly after Cantor's works were published. 1972, Peter W. Zehna, Robert Leo Johnson, Elements of Set Theory, Allyn & Bacon, page 4:
   • 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. 1984, Robert Goldblatt, Topoi, the categorial analysis of logic, page 9:
   • The one thing that all alternative set theories have in common is the fact that they are alternatives to ZF or ZFC. 2012, M. Randall Holmes, Thomas Forster, Thierry Libert, “Alternative Set Theories”, in Dov M. Gabbay, Akihiro Kanimori, John Woods, editors, Sets and Extensions in the Twentieth Century, North-Holland: Elsevier, page 559:
   • The serious study of models of axiomatic set theories depends heavily on methods from mathematical logic which are outside the scope of these Notes. 1994, Yiannis N. Moschovakis, Notes on Set Theory, Springer, page 239:
2. (uncountable, usually) A systematic approach to describing musical objects and their relationships.

Forms

Deriveds

Zermelo set theory · set-theoretic · set-theoretically · set-theoretical · naive set theory · Zermelo-Fraenkel set theory

Synonyms

sets

Translations (38)

ms teori set (mathematical theory of sets) · de Mengentheorie (mathematical theory of sets) · is mengjafræði (mathematical theory of sets) · pt teoria de conjuntos (mathematical theory of sets) · fr théorie des ensembles (mathematical theory of sets) · de Mengenlehre (mathematical theory of sets) · hi समुच्चय सिद्धांत (mathematical theory of sets) · cs teorie množin (mathematical theory of sets) · no mengdelære (mathematical theory of sets) · pl teoria mnogości (musical set theory) · io ensemblo-teorio (mathematical theory of sets) · ru тео́рия мно́жеств (mathematical theory of sets) · la ratio coniunctorum (mathematical theory of sets) · sh теорија скупова (mathematical theory of sets) · scn tiurìa dî cugnunti (mathematical theory of sets) · hy բազմությունների տեսություն (mathematical theory of sets) · el θεωρία των συνόλων (mathematical theory of sets) · sh teorija skupova (mathematical theory of sets) · es teoría de conjuntos (mathematical theory of sets) · tl palatangkasan (mathematical theory of sets) · ga teoiric na dtacar (mathematical theory of sets) · nl verzamelingenleer (mathematical theory of sets) · da mængdelære (mathematical theory of sets) · id teori himpunan (mathematical theory of sets) · pl teoria mnogości (mathematical theory of sets) · th ทฤษฎีเซต (mathematical theory of sets) · it insiemistica (mathematical theory of sets) · hu halmazelmélet (mathematical theory of sets) · sv mängdlära (mathematical theory of sets) · cmn 集合論 /集合论 (mathematical theory of sets) · it teoria degli insiemi (mathematical theory of sets) · ko 집합론 (mathematical theory of sets) · fi joukko-oppi (mathematical theory of sets) · pl teoria zbiorów (mathematical theory of sets) · he תורת הקבוצות (mathematical theory of sets) · pt teoria dos conjuntos f. (mathematical theory of sets) · ga tacartheoiric (mathematical theory of sets) · ja 集合論 (mathematical theory of sets)