Is it known whether most numbers are normal or not

In a comment over at mathematics.stackexchange.com, I just (well, now stuff has happened and it's 8 hours ago) claimed that for most numbers it is not known whether they are normal. And then I got to think whether that is actually true?

Is there some set of numbers that (in some way, whether my measure, cardinality or something I haven't thought of) encompasses "most numbers", for which we know none (or just a few - in some meaningful sense) are normal? I believe that e.g. most rational numbers (but neither by measure nor by cardinality can they be said to be "most numbers") are not normal.

is a duplicate

This question has been asked before and has already been answered. It should be marked as a duplicate.

Please enter the URL of the proposed duplicate in the details field below.

not constructive

This question cannot be answered in a way that is helpful to anyone. It's not possible to learn something from possible answers, except for the solution for the specific problem of the asker.

Communities

Is it known whether most numbers are normal or not

1 comment thread

0 answers