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November 12, 2004

infinity

Mathematicians of the "Analyst" flavor have an unruly infatuation with infinity. I've been forced to spend a great deal of time dealing with this concept and I've not had it satisfactorily explianed.
Analysts believe in the idea wholeheartedly, so much so that they feel the need to divide infinity into two different types: Countably Infinite and Uncountably Infinite.
Look here "Infinite"

Infinite, in essence, means not countable, but we still have countably infinite integers but uncountably many "real" numbers. Everything seems to be defined circularly so that in order to understand how you get to infiinity you have to already believe in infinity.

Real mathematicians disagree. The guy who came up with this idea drove himself insane and died. Now that's passion.

Posted by james at November 12, 2004 11:19 AM

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