On Thu, Jan 29, 2015 at 2:19 PM, Bruno Marchal <marc...@ulb.ac.be> wrote:
>>> The "01" appearing above is supposed to be an initial segment of one >> sequence, > > >> >> OK, you gave me 2 elements, but what's the third element in this >> uncountably infinitely long sequence of yours? > > > > I have never pretended that I can enumerate them. I say only that I can > generate all of them > Then generate the third element. > by dovetailing It is not allowed to say in a algorithm "after you have completed these infinite number of tasks then do this and such". > > The easyness comes from the fact that I generate them all, by zigzagging > on their initial fragment. Each initial segment is admittedly denoting its > many different precisions. > So your algorithm will have to perform a infinite number of tasks before it gets around to finding that third element. That's no good. > We both agree that the set of binary infinite sequences is uncountable. > And you can't find a one to one correspondence between the set of subsets of the Real Numbers and the Real numbers, there will always be a subset of the Real numbers with no corresponding Real number. 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.
