system
Given the following post, respond as if you're commenting on Reddit:
human
Is division by zero truly undefined?

  It seems there is an explicit definition for it: 0 or 1 or -infinity or +infinity.  As far as I can tell, the operation has no other outcomes.
gpt
Well 0/0 is obviously undefined.  E.g., 0 * x = 0 for any number x, so if you can do the invert the operation of multiplication of zero, by dividing by zero, you could get x = 0/0 = any number.

An operation like 3/0 isn't well-defined either.  You may say its infinity; e.g., if you look at it like the number 0 is reached by repeatedly dividing by a small positive number 0.1 (get 30), then divide by 0.01 (get 300), etc and as you see the number blowing up you define it as + infinity.  However, if it was coming from the other direction; e.g., perceive zero as coming from -0.1, to -0.01, -0.001, ... you see the result being (-30, -300, -3000, ... -infinity).  

So division of a non-zero number by zero should always be +/- infinity, though it isn't defined which and each are equally valid.  Division of zero by zero is any number.  Hence it's undefined.

(Note: these concepts are very well defined in calculus; read about the concept of limits).