Re: 1+i > i

From: Stephen J. Herschkorn (herschko_at_rutcor.rutgers.edu)
Date: 08/15/04 

Date: Sun, 15 Aug 2004 06:25:41 GMT

mina_world wrote:

>hello.....doctor~
>
>
>(1+i)-i = 1 > 0
>
>=> (1+i) > i
>
>----------------------------
>um........of course, impossible ??
>
>i know that complex numbers can't compare about size.
>
>but this process is very plausible as paradox.
>
>i want to know the basic cause.
>
>
In an ordered field, a > b implies a + c > b + c; b positive
implies a + b > a, and a - b > 0 implies a > b.
Problem is, the field of complex numbers is not an ordered field, though
its subfield of reals is. 

-- 
Stephen J. Herschkorn                        herschko@rutcor.rutgers.edu

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