Re: Why 0/0 is meaningless?

From: Virgil (ITSnetNOTcom#virgil_at_COMCAST.com)
Date: 03/29/05 

Date: Tue, 29 Mar 2005 12:14:44 -0700

In article <1112100785.400657.98420@z14g2000cwz.googlegroups.com>,
 iherage@gmail.com wrote:

> I have already know a/0 is meaningless if a is not 0.But if a=0,how to
> prove?

a/b = c has meaning only if c is uniquely determinable. If there are
lots of candidates for c, then the "division" of a by b is not well
defined.

The general definition of such a quotient, c in a/b = c, is the unique
solution for c to the equation a = b c.

But every number, c, is a solution to 0 = 0 c, so the uniqueness
requirement fails.