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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)
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Nearby terms:
SETL/E « Set Priority Level « SETS « set theory » set-top box » SEUS » seven layer model
This article was derived from the Free Online Dictionary of Computers and is available under ther terms of the GNU Free Documentation License.
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