| the branch of mathematics that deals with relations between sets. |
] | Dictionary.com Unabridged (v 1.1) Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006. |
Set theory
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| © 2008 Encyclopædia Britannica, Inc. |
| set theory
n. Mathematics The study of the properties of sets. |
| The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2006 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. |
| set theory | |
noun | |
| the branch of pure mathematics that deals with the nature and relations of sets |
| WordNet® 3.0, © 2006 by Princeton University. |
set theory mathematics
A mathematical formalisation of the theory of "sets" (aggregates or collections) of objects ("elements" or "members"). Many mathematicians use set theory as the basis for all other mathematics.
Mathematicians began to realise toward the end of the 19th century that just doing "the obvious thing" with sets led to embarrassing paradoxes, the most famous being Russell's Paradox. As a result, they acknowledged the need for a suitable axiomatisation for talking about sets. Numerous such axiomatisations exist; the most popular among ordinary mathematicians is Zermelo Fränkel set theory.
The beginnings of set theory.
(1995-05-10)
| The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe |
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