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Warp wrote:
> Darren New <dne### [at] san rr com> 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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