(New page: My favorite theorem is Cantor's theorem, which states that the power set of some set S has greater cardinality that that of S itself, whether S is finite or infinite. I choose this theore...)
 
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Latest revision as of 18:42, 2 September 2008

My favorite theorem is Cantor's theorem, which states that the power set of some set S has greater cardinality that that of S itself, whether S is finite or infinite. I choose this theorem only because it uses the diagonal argument in its proof, which Cantor also used to prove that the set of reals is uncountable. I know, right.

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett