On Mon, Jan 26, 2015 Bruno Marchal <marc...@ulb.ac.be> 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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
