3 ms·
> 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
by zyroth 19y ago
> 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?
- rms 19y agoI 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 http://forums.xkcd.com/viewtopic.php?f=3&t=4270
- zyroth 19y agoAnything 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.