Table 9. The four levels of mathematics into physics.

	“Enveloping” mathematics	Geometry	Logic	Dynamics (ODEs PDEs)
Classical Mechanics	Vectorial calculus	Euclidean geometry	Classic logic	Newton laws
General Relativity	Differential topology	Riemannian geometry	Classic logic	Einstein equations
Quantum mechanics	Complex functions and Hilbert spaces	Euclidean geometry	Classic logic plus Quantum logic	Schrödinger equation