For example, if a new exo-planet were found to have a certain chemical make up that our current understanding didn't agree with, that would go back to theoretical physics and mathematics, where they might discover a way to better describe the discovery. That then becomes a new model that allows us to recognize a new pattern of solar system formation, etc etc.
There's a practical application to STEM work. In what way is there a practical application in philosophy? Is it isolated to educating people on broader more complex thought?