The case for infinity divided by infinity is interesting. I was chatting with my friend a few days ago about this very topic. In the real number system, INFINITY is not considered to be one of the set of real numbers and so none of the operations are defined for INF. Even in systems where some kind of INF is included (complex numbers in some contexts) we still see avoidance of defining INF/INF because quotients supposedly are related to products in a unique way. For example, define a/b = c if c is the unique number solving the equation a = bx. If we define a*INF = INF for all non-zero a (as is reasonably done in some cases), then INF/INF is not uniquely definable.
Posted on: Sat, 29 Mar 2014 15:40:02 +0000
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