Say, I make some modifications to the basic assumptions and concepts to the existing Mathematics framework. How would the Mathematics community decides if it makes sense or not. Say, in my variation of Mathematics, I allow arithmetics between infinity. I understand infinity is a concept, not a number. But in my branch of Mathematics, an operation is not just limited to be used withing operands, but also between, say concepts. Or, 0/0 is undefined by the current framework of Mathematics. It is undefined because 0/0 could assume any value. I'll apply the same logic and say, the root of a number is undefined since it could have more than one value. So in my version of Mathematics, i, the imaginary number does not exist. How does the Maths community decide which framework to go with? How would the mathematicians convince me that having imaginary numbers is the correct framework. My question is more generic on the acceptance of one framework from another. Not specific about the example modifications I was suggesting. Unlike science, Maths folks cannot ask for any evidence.