Re: [FWP] japhy had a silly idea...

["Daniel S. Wilkerson" <dsw@digital-integrity.com>]

Piers Cawley wrote:

> "Daniel S. Wilkerson" <dsw@digital-integrity.com> writes:
>
> > "Piers Cawley (by way of owner-fwp@technofile.org)" wrote:
> >
> > > You know, I'm pretty certain that the set of all strings is
> > > uncountable, by Cantor's Diagonalization.
> >
> > The set of all *countable* sequences from a finite alphabet is
> > uncountable. The standard definition of the set of all strings is
> > the set of all *finite* sequences from the alphabet. This is
> > countable.
>
> It's finite as well isn't it?

No.  For example, if you include the digits 0-9 in your alphabet, you
get the standard decimal representation of the non-negative integers.

Daniel


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