Roger Bacon, OFM, also known by the scholastic accolade Doctor Mirabilis, was an English philosopher and Franciscan friar who placed considerable emphasis on the study of nature through empirical methods. In the early modern era, he was regarded as a wizard and particularly famed for the story of his mechanical or necromantic brazen head. He is sometimes credited as one of the earliest European advocates of the modern scientific method inspired by Aristotle and by later scholars such as the Arab scientist Alhazen. His linguistic work has been heralded for its early exposition of a universal grammar. However, more recent re-evaluations emphasise that Roger Bacon was essentially a medieval thinker, with much of his "experimental" knowledge obtained from books in the scholastic tradition. He was, however, partially responsible for a revision of the medieval university curriculum, which saw the addition of optics to the traditional quadrivium. A survey of how Bacon's work was received over the centuries found that it often reflected the concerns and controversies that were central to his readers... (wikipedia)
All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
Reasoning draws a conclusion, but does not make the conclusion certain, unless the mind discovers it by the path of experience.
The strongest arguments prove nothing so long as the conclusions are not verified by experience. Experimental science is the queen of sciences and the goal of all speculation.
Argument is conclusive, but it does not remove doubt, so that the mind may rest in the sure knowledge of the truth, unless it finds it by the method of experiment.
For the things of this world cannot be made known without a knowledge of mathematics.
For if any man who never saw fire proved by satisfactory arguments that fire burns. His hearer's mind would never be satisfied, nor would he avoid the fire until he put his hand in it that he might learn by experiment what argument taught.