Set theory

From Conservapedia
This is an old revision of this page, as edited by Ed Poor (Talk | contribs) at 00:47, August 19, 2007. It may differ significantly from current revision.

Jump to: navigation, search

Set theory a branch of mathematics dealing with collections of objects.

History of set theory

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).