On 11/10/2010 05:56 PM, Darren New wrote:
> Invisible wrote:
>> In fact I've seen how there are different ways of representing real
>> numbers (ratios, continued fractions, radicals, etc.), and for almost
>> every one, there are some real numbers that do not have a finite
>> representation.
>
> For *every* one, there are some real numbers that do not have a finite
> representation. That's what makes them irrational.

No, not having a finite ratio representation makes a number 
"irrational". Not having a finite polynomial representation makes it 
"transcendental". And so on and so forth.

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