I think you will be able to understand that the current upgraded status of the human naturalistic society owes to the combined revolution of all the natural and philosophical sciences you are referring to.
I understand this so that the solution of one fundamental problem, for example, in mathematics, entails the solution of another fundamental problem, but in physics or philosophy. Revolution is like a plasma vortex, the speed of which increases and increases until a thermonuclear reaction is born in its core.
Yes. The revolution that is coming (or here if you accept my STOE) is the everything (physics and life and society development should have one set of fundamental principles. So, the principles of life can be used to develop physics principles and vis-a-versa. The STOE suggests such a set. Indeed, such a philosophy may be just what is needed to unite the big (cosmology) and small (quantum) .