On Wed, Jan 28, 2015 Bruno Marchal <marc...@ulb.ac.be> wrote: > > > Cantor brought the contradiction by assuming there is a bijection > between N and the set of infinite binary sequences >
Yes, and then he showed that such an assumption was incorrect by producing a infinite binary sequence that did not correspond to any natural number. > The procedure that I use does not assume such bijection. On the contrary, > as I said explicitly each finite sequence of digits generated at any time > is admitted as being the initial segment of a continuum (uncountable > sequence). > You can't do hand waving like that in a proof! You've got to show exactly how that uncountably infinitely long sequence was produced. > 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? > It plays some role in the UDA too. > Then I'm even more happy that I stopped reading at step 3. 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.
