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set theory

American  

noun

  1. the branch of mathematics that deals with relations between sets.


set theory British  

noun

  1. maths the branch of mathematics concerned with the properties and interrelationships of sets

  2. logic a theory constructed within first-order logic that yields the mathematical theory of classes, esp one that distinguishes sets from proper classes as a means of avoiding certain paradoxes

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of set theory

First recorded in 1940–45

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The most famous example of undecidability in set theory is CH.

From Scientific American • Aug. 16, 2021

In the late 1800s, German logician Georg Cantor, founder of modern set theory, discovered that not all infinite sets are equal.

From Scientific American • Aug. 16, 2021

Dehn’s concepts of harmonic intervals, topology and set theory entered her work; Ms. Rockburne started thinking of artworks as “visual equations.”

From New York Times • Aug. 8, 2018

Initially, Ms. Rockburne was inspired by set theory, a branch of mathematical logic.

From New York Times • May 4, 2018

It would be little comfort to Cantor that his work was the foundation of a whole new branch of mathematics: set theory.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

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