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A comment on Converting Pi to binary: Don't do it!. Parent comment

Re:Converting Pi to binary: Don't do it! by zyroth on Thursday December 27, 2007 @11:00AM (#92979)
> There are an uncountably many number of non-normal real numbers like this, even though the infinite amount of normal real numbers is bigger.

How sure are you with that one? Mind to supply a proof?

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Re:Converting Pi to binary: Don't do it! by rms on Thursday December 27, 2007 @10:11PM (#93128)
I have no proofs; I don't think very many proofs exist with regards to this topic.

From what I've been able to gather, I think the cardinality of the normal and non-normal numbers are the same, even though the non-normal numbers are measurably greater because of probability distributions. This is a paradox that I don't really understand. http://forums.xkcd.com/viewtopic.php?f=3&t=4270

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Re:Converting Pi to binary: Don't do it! by zyroth on Friday December 28, 2007 @02:03PM (#93286)
Anything related to the concept of infinity tends to be hardly understandable in an "emotional" or "intuitive" way. We can just apply the rules of logic and accept.
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