On Thu, Jan 29, 2015 at 2:19 PM, Bruno Marchal <[email protected]> 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 [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.
