Warp wrote:
> Darren New <dne### [at] sanrrcom> wrote:
>> For *every* one, there are some real numbers that do not have a finite 
>> representation. That's what makes them irrational.
> 
>   "Some" is quite an understatement.
> 
>   The set of real numbers with a finite representation is countable,

That's a good point. I hadn't actually thought of it that way. :-)

It also is interesting to consider things like Chaitin's number or "the 
smallest uninteresting number" or other finite descriptions that name a 
number but you can't tell which number they name.

-- 
Darren New, San Diego CA, USA (PST)
   Serving Suggestion:
     "Don't serve this any more. It's awful."

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