(October 1, 2014 at 7:12 pm)L.A.F.2. Wrote: 0/0 could technically be any number, but any other numerator renders an undefined value.
The problem is that you cant assign any specific number without violating important properties of the real numbers. If you define e.g. 0/0=3, then what is 2*0/0? Depending on the order of operations, that's 3 or 6, so associativity is broken.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition