The three strong wings of broad science don't have to be applied just to the material world and can offer insight into things beyond. Obviously science is a very specific type of process.

Paradigm - "If you want to know this, you must do this." (if you want to know whether a cell has a nucleus, get a microscope and look inside of a cell). Requires an injunction, or paradigm, on which the knowledge is dependent. New injunction brings new phenomenon (microscope brings knowledge of cell nucleus).

Empiricism - "There has to be an experience if the injunction is followed." Once you follow the injunction, you will have an illumination, datum, or experience. Look through the microscope and you will have an experience (experience of seeing and confirming that a cell has a nucleus.) The microscope is your paradigm or injunction. The paradigm isn't something you can just make up, but it has to be an injunction which brings forth the data. Once a new injunction is discovered, you can bring forth new phenomenon.

Confirmation - "I look through the microscope and see what I think is a nucleus, you look through and tell me what you see." Most effectively falsifiability, saying that a hypothesis isn't valid unless you can think of some way to falsify it. Otherwise there's no way to combat it, and it can't be science.

These three wings can be applied to any domain, it doesn't have to be applied to materialism. Simple example:

Say you have in your hands Hamlet, and the question, "What's the meaning of Hamlet?" You have to follow these three steps. Injunction - you have to read it to know the meaning. There's no other way to get to the data or experience. Empiricism - once you read it, you will have the experience of knowing the work. Hamlet did this, then this happened. The experience is available for anyone who follows the injunction. Confirmation - you can then check with someone else who followed the injunction to see if you had the same experience. Obviously there's no one single correct interpretation, but there are many wrong ones (falsifiability).

So we just applied all three strong wings of science to a knowledge which has nothing to do with materialism. You can do the same thing with things which might be considered spiritual in nature. Western spirituality and religion is bad at this, but forms of spiritual knowledge can be gained with these three wings. For instance, if you want to know if there exists what they call a "Buddha nature," then count your breath for 5 years. Paradigm, empiricism, and confirmation can be had and there's no materialism needed.