|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
|
|
|
| ``Re: Imaginary irrational number?''
by mathcam on 2007-04-15 17:12:10 |
|
| > By the way, the Springer on line encyclopedia is curiously
> indeterminate about this. They say that an irrational is a
> "number that is not a rational number" but go on to discuss
> it in terms of a geometric length incommensurate with 1. All
> the examples are on the real line.
I think I might replace the word "curiously" with "horribly" there. In some sense, there's no such thing as a number. One would be hard-pressed to find a common definition which included all objects that we've come to know as numbers.
In the particular case, I think it's fairly well agreed upon that without any preceding text to the contrary, an irrational number is a real number that is not rational. If pressed, I would call e*i complex irrational.
Cam
|
| | [ reply | up | top ] | |
|
|
|
|
|
|
|
