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Meaning of SET THEORY

Pronunciation:  set 'theeuree

WordNet Dictionary
[n]  the branch of pure mathematics that deals with the nature and relations of sets
 See Also: pure mathematics



Computing Dictionary

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 towards 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.