On Mon, Jan 26, 2015 Bruno Marchal <[email protected]> wrote: > We cannot generate algorithmically a random sequence, but we can generate > algorithmically all random sequence, thanks to the fact that the in the > sequence > > 0 > and > 1 > we already generate the correct digit "0" of the 2^aleph_zero random > sequences beginning by 0, and the correct digit "1" of the other half. > > Then we proceed, > 00 > 01 > and > 10 > 11 > and we continue in that way, we generate in that way all finite initial > segments of all sequences. >
Well sure, it would be easy to write a program to generate every possible sequence of digits of FINITE length, but If you give me a list, any list, of infinitely many infinite numbers I know it does not contain them all because I can always use Cantor's diagonal argument to generate a number that is not on your list. John K Clark > > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
