“Grosseteste appears to have been the first medieval writer to recognize and deal with the two fundamental methodological problems of induction and experimental verification and falsification which arose when the Greek conception of geometrical demonstration was applied to the world of experience. He appears to have been the first to set out a systematic and coherent theory of experimental investigation and rational explanation by which the Greek geometrical method was turned into modern experimental science. As far as is known, he and his successors were the first to use and exemplify such a theory in the details of original research into concrete problems.”

— Alistair Cameron Crombie

Robert Grosseteste and the Origins of Experimental Science 1100-1700 (1953)

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Alistair Cameron Crombie 8

Australian zoologist, historian of science 1915–1996

Alistair Cameron Crombie (1915–1996) Australian zoologist, historian of science

Robert Grosseteste and the Origins of Experimental Science 1100-1700 (1953)

“Eventually, Aristotle appeared among the Greeks. He improved the methods of logic and systematized its problems and details. He assigned to logic its proper place as the first philosophical discipline and the introduction to philosophy. Therefore he is called the First Teacher.”

Ibn Khaldun book Muqaddimah

Muqaddimah, Translated by Franz Rosenthal, p. 39 and p. 383, Princeton University Press, 1981.
Muqaddimah (1377)

“Probably Greek logistic, or calculation, extended to more difficult operations… and… probably Greek arithmetic, or theory of numbers, owed much more to induction than is permitted to appear by its first and chief professors.”

James Gow (scholar) (1854–1923) scholar

p, 125
A Short History of Greek Mathematics (1884)

“The strategic act by which Grosseteste and his thirteenth- and fourteenth-century successors created modern experimental science was to unite the experimental habit of the practical arts with the rationalism of twelfth-century philosophy.”

Alistair Cameron Crombie (1915–1996) Australian zoologist, historian of science

Robert Grosseteste and the Origins of Experimental Science 1100-1700 (1953)

“We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.”

James Clerk Maxwell book A Treatise on Electricity and Magnetism

A Treatise on Electricity and Magnetism (1873), §36.

“The first question we should face is: What is the aim of a physical theory? To this question diverse answers have been made, but all of them may be reduced to two main principles:
"A physical theory," certain logicians have replied, "has for its object the explanation of a group of laws experimentally established."
"A physical theory," other thinkers have said, "is an abstract system whose aim is to summarize and classify logically a group of experimental laws without claiming to explain these laws…
Now these two questions — Does there exist a material reality distinct from sensible appearances? and What is the nature of reality? — do not have their source in experimental method, which is acquainted only with sensible appearances and can discover nothing beyond them. The resolution of these questions transcends the methods used by physics; it is the object of metaphysics.
Therefore, if the aim of physical theories is to explain experimental laws, theoretical physics is not an autonomous science; it is subordinate to metaphysics…
Now, to make physical theories depend on metaphysics is surely not the way to let them enjoy the privilege of universal consent.”

Pierre Duhem (1861–1916) French physicist, historian of science

Notice sur les Titres et Travaux scientifiques de Pierre Duhem rédigée par lui-même lors de sa candidature à l'Académie des sciences (mai 1913), The Aim and Structure of Physical Theory (1906)