On 12 October 2013 11:12, LizR <lizj...@gmail.com> wrote:

> On 12 October 2013 10:46, Russell Standish <li...@hpcoders.com.au> 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 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/groups/opt_out.

Reply via email to