On Wed, Jan 28, 2015 Bruno Marchal <[email protected]> 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 [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.
