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Okay. Why can't we? Give me some concrete examples where science can make use of supernatural processes, phenomena, entities or explanations and actually accomplish something.
I only know of one learning that combines both theology and science to its fullest. Kabbalah. I can give you "concrete examples" from its teachings, however, please, keep in mind that I'm NOT trying to preach or convert anybody. With that said:
(Kabbalah is primarily based on knowledge passed down through generations and written down by Rav Shimon bar Yochai in the book called "The Zohar". 2000 years ago, little befor the Christ times)
Concreate Example:
The ancient Zohar states the function of the liver is to "devour the fatty parts" of the blood. Then the purified blood "is offered to the heart". (only in 18th century Albrecht von Haller discovered that the liver's bile helps digest fats).
Zohar also revealed that there are two kinds of fats - pure and impure, good fats and bad fats, circulating in out body, stating that "...in the body there are pure and impure fatty parts, clean blood without waste matter and blood contaminated with waste matter..." (Zohar, Vol.20, 40:220) Zohar also says that pure fats are associated with healthy heart, whereas impure fats are dangerous, used by particular negative angel (who dweals in our liver) to cause ailments of the heart and brain.
Today, science knows that human liver synthesizes cholesterol for the body. Cholesterol is involved in producing bile acids, which help the body process fat. holesterol is a lipid. Lipids are fats ("fatty parts" in the language of The Zohar). There are two kind of cholesterol HDL and LDL. Too much LDL (bad fat or cholesterol) clogs the arteris with fat build up.. It helps to form plaque which narrows the arteries thus decreasing blood flow to the hart and brain. Less blood = less oxygen, lack of oxygen can cause heart attacks and strokes.
To make clear, people who contributed to the Zohar, did not study modern science and did not have multi million dollar labs. Their knowledge came from Theological study and insight.
I can give you example after example after example, untill I turn blue from typing. You ask me " how we can make use of supernatural processes, phenomena, entities or explanations and actually accomplish something?", my answer is, dedecate same amount of time studing all secrets of the scripture as you dedicate to science and maybe you'll be able to answer that question yourself. However, you did say that you don't care about the "purpose", so why even care about anything then?