Thread: Math trivia
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Old 03-23-2011, 05:05 AM
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John Carter John Carter is offline
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Default Re: Math trivia

Great thread. Cept!

Here's an interesting, and to me very disturbing, consequence of Cantor's transfinites. In short, there are uncountably many real numbers that will never be named. There are, in fact, so many of these unnamed numbers relative to the numbers we can name that if we had a dart with an infinitely sharp point (such that if we threw it at the number line, it would hit exactly one number) and then threw it at the real number line, the probability that it would hit a named number is exactly 0!
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