Math is like a game where you can pick the rules but you have to live with the consequences, and if we choose to define division by zero, a result is that we ca

Math is like a game where you can pick the rules but you have to live with the consequences, and if we choose to define division by zero, a result is that we can prove any number equal to another, e.g. 1 = 2. This ruleset is not fruitful, so we don't do it, but it can be that a new choice unlocks interesting dynamics, like choosing a definition that allows handling roots of negative numbers.