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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Re: Imaginary irrational number?''
by mathcam on 2007-04-15 17:18:34 |
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| > But if you have to do this, then I suppose that irrational
> number is any complex number that is not rational. That's
> how the definition works:
>
> set of irrational numbers is a complement (in any field of
> characteristic 0) of set of rational numbers.
I agree with the first (unquoted) part of your post, but I think this last definition is unsatisfactory -- What are the rational numbers in an arbitrary field of characteristic zero (i.e. what are the integers)?
Cam
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