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Set theory (view source)

Revision as of 00:45, January 6, 2007

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Set theory a branch of mathematics dealing with collections of objects. It was developed in the late 1800s, primarly by the German mathematician [[Georg Cantor]]. This initial attempt became known as "naive set theory" because mathematicians found flaws in it. It was replaced by "axiomatic set theory" in the early 1900s.

One paradox in naive set theory was announced by [[Bertrand Russell]] in 1901, and is known as [[Russell's Paradox]].

[[Kurt Godel]] ended the grand ambition of set theory in 1931 by showing that no one can ever prove that mathematics is entirely consistent (i.e., without internal contradiction) or complete (i.e., all math statements can be proven true or false).
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