There is a good argument for the role of faith that goes beyond reason, This is in Kant when he showed
even to begin reason one needs categories of space and time and causality that can not be known by reason. Nor can they be known by empirical reasoning as Hume showed
Whitehead suggested a third kind of fact that is not a mind fact nor a physical fact in order to escape the Mind -Body Problem. {Process and Reality published 1929}. This has been excluded from academia from around 1980. But this idea dovetails nicely with the Friesian kind of third source of knowledge that i non intuitive immediate knowledge.[And that too has been excluded from Academia]. [The third kind of fact is what is known by the third kind of knowledge.]
For someone like me this sort of thing that Whitehead suggested make a lot of sense because I am used to seeing in Quantum Mechanics formulations based on Lagrange [Kinetic without potential energy] or Hamilton. In these formulations f Physics the electron knows where to go. It goes where there is minimum of energy, the lowest energy level. But it doe not try out other venues before it does so. So how does the electron know?
The advantage of Whitehead and Fries is in the categories of Kant. The Kant proof of their validity has been a problem almost immediately after the ink was dry on The Critique of Pure Reason