set theory

noun

: a branch of mathematics or of symbolic logic that deals with the nature and relations of sets
set theoretic adjective

Examples of set theory in a Sentence

Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
Zermelo introduced the axiom of choice because the eight axioms of the Zermelo-Fraenkel set theory were not powerful enough and could not be used to construct a selection function. Manon Bischoff, Scientific American, 1 Oct. 2024 An Alternative Mathematics Some experts were therefore determined to reject the axiom of choice and instead work only with the eight fundamental truths of Zermelo-Fraenkel set theory. Manon Bischoff, Scientific American, 1 Oct. 2024 The foundation of mathematics continues to rely on set theory. Manon Bischoff, Scientific American, 15 Aug. 2024 Causal set theory, another contender for a theory of quantum gravity, posits that space and time are made of more fundamental components as well. Adam Becker, Scientific American, 1 Feb. 2022 The first person to harness this power was Georg Cantor, the founder of the mathematical subfield of set theory. WIRED, 29 Oct. 2023 Maggie Koerth-Baker on what Christian fundamentalists have against set theory. Ed Yong, Discover Magazine, 11 Aug. 2012 His first major paper, published in 1925, set about refurbishing set theory along clean, logical lines. Samanth Subramanian, The New Republic, 8 Mar. 2022 Mathematicians and computer scientists had an exciting year of breakthroughs in set theory, topology and artificial intelligence, in addition to preserving fading knowledge and revisiting old questions. Quanta Magazine, 23 Dec. 2021

Word History

First Known Use

1936, in the meaning defined above

Time Traveler
The first known use of set theory was in 1936

Dictionary Entries Near set theory

Cite this Entry

“Set theory.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/set%20theory. Accessed 23 Nov. 2024.

Kids Definition

set theory

noun
: a branch of mathematics that deals with sets and with relations between sets
set-theoretic
-ˌthē-ə-ˈret-ik
adjective

More from Merriam-Webster on set theory

Last Updated: - Updated example sentences
Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!