Re: Why 0/0 is meaningless?
sherifffruitfly_at_gmail.com
Date: 03/29/05
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Date: 29 Mar 2005 13:13:21 -0800
Keith A. Lewis wrote:
> iherage@gmail.com writes in article
<1112100785.400657.98420@z14g2000cwz.googlegroups.com> dated 29 Mar
2005 04:53:05 -0800:
> >I have already know a/0 is meaningless if a is not 0.But if a=0,how
to
> >prove?
>
> Let x = 0/0
> x*0 = 0
> What is x? Could be anything.
>
> --Keith Lewis klewis {at} mitre.org
> The above may not (yet) represent the opinions of my employer.
Am I right in the belief that you can also think of the matter in terms
of conservative extensions? In particular the fact that adjoining 0/0
results in a NONconservative extension of "typical" systems. For
another easy example:
x = 0/0
log x = log 0/0
= log 0 - log 0
(nonconservative: without 0/0, log isn't defined for 0, now it has to
be)
continue on:
let y = log 0
the exp(y) = exp (log 0) = 0
(nonconservative: wow! the exp() function has zeroes after all!)
and so forth.
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