What is mathematics?Isn't it a science for the numbers and the operations we can perform with them?So what is the foundation of the mathematics?A list of axioms?And here is the interesting part of the story because what if we make up a new axioms or remove old ones completely change this axioms.Is what we come up A FAULTY MATHEMATICS?Or may be it is A COMPLETELY NEW SCIENCE OF THE NUMBERS-A NEW MATHEMATICS?And because the very foundations of the mathematics are questioned than everything other which is a consequence of the founamental principles should be different,shouldn't it?And because we can make up a really infinite number of axioms,does this means that there are an infinite number of different mathematics?And if there are,aren't there any that can be useful in practise?
just an opinion