On 12 October 2013 11:12, LizR <[email protected]> wrote: > On 12 October 2013 10:46, Russell Standish <[email protected]> wrote: > >> On Fri, Oct 11, 2013 at 10:07:58AM -0700, meekerdb wrote: >> > I don't think being uncountable makes it any easier unless they form >> > a continuum, which I don't think they do. I QM an underlying >> > continuum (spacetime) is assumed, but not in Bruno's theory. >> > >> >> UD* (trace of the universal dovetailer) is a continuum, AFAICT. It has >> the cardinality of the reals, and a natural metric (d(x,y) = 2^{-n}, >> where n is >> the number of leading bits in common between x and y). ISTM, this >> metric induces a natural measure over sets of program executions that >> is rather continuum like - but maybe I'm missing something? >> >> I always assumed the UD output bits - i.e. not a continuum, but a > countable infinity of symbols - but maybe I'm missing something? >
Am I missing diagonalisation? i.e. Can the UD output be diagonalised? -- 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/groups/opt_out.
