zyflair said:
If c is of the set that equals any real number, why is that bad?
That just means that either 0/0 is undef. or it equals anything. Actually, I believe it equates to the set of real numbers.
It's bad because variables in an equation are assumed to have a unique answer. Yes, sometimes there are two answers, due to square roots or something, but to have an infidente number of answers is pointless.
Having it equal to anything is what makes it undefined. The problem with your second statement, is that, in my second equation, c can equal anything. It can equal, 1, 2, 3, -1, -2, -3, 0, pi, square root of 7, square root of -7, ect. You can literally shove ANY combination of numbers, symbols, and the like into that c, including things that are undefined, which leads to an obvious messy mess, and an equation that is just silly and useless.
And think about it this way. Numbers are constant and theres always patterns. What kind of constant can there possibly be when 0/0=every number, but 1/0, 2/0=impossible? This gives no reasonable way to use a/0 and find anything of substance. Because of this lack of substance, it's classified as undefined and is probably the single most useless equation anybody can think up. lol.