>>13242433What is calculus without limits? Limits were formalized as a device for proof by Cauchy. So I guess in that sense calculus is a mathematical field, but again, it was started as a mathematical field by Cauchy and riemann. Earlier work might have been done, but in order to be considered valid maths it had to be reworked with rigorous definitions of limits as the baseline.
>>13242436calculating numbers on a paper/mind is not empirical evidence. You cannot prove that 1 + 2 = 3 by adding 1 and 2 and saying look! it's 3! 1 and 2 are not empirical concepts, they are forms that exist outside of physical reality.