1. in your original statement, you just name-dropped philosophers' names assuming that I'd understand what aspect of their work you were thinking of. Similarly, you can't say "use Galois theory" when you are actually thinking of drawing Galois correspondences between lattice-like structures.

2. Don't forget that notions like and Galois connections are today well-defined notions in terms of modern-day mathematical objects in turn relying on first-order logic or similar... whereas they were just beginning to explicate parts of logic.