“The one who contributed most to break down the barrier between physical method and metaphysical method, and to confound their domains, so clearly distinguished in the Aristotelian philosophy, was surely Descartes.”

— Pierre Duhem

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)

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Pierre Duhem8

French physicist, historian of science 1861–1916

Étienne Gilson (1884–1978) French historian and philosopher

Methodical Realism

“If there is a single initial error at the root of all the difficulties philosophy is involved in, it can only be the one Descartes committed when he decreed, a priori, that the method of one of the sciences of reality was valid for the whole of reality.</i”

Étienne Gilson (1884–1978) French historian and philosopher

Methodical Realism

“As in Mathematicks, so in Natural Philosophy, the Investigation of difficult Things by the Method of Analysis, ought ever to precede the Method of Composition.”

Isaac Newton book Opticks, or a Treatise of the Reflections, Refractions, Inflections and Colours of Light

Query 31
Opticks (1704)

“What is an artist? A provincial who finds himself somewhere between a physical reality and a metaphysical one…”

Federico Fellini (1920–1993) Italian filmmaker

"Every Time We Say Goodbye" in Sight and Sound [London] ( June 1991)
Context: What is an artist? A provincial who finds himself somewhere between a physical reality and a metaphysical one... It’s this in-between that I’m calling a province, this frontier country between the tangible world and the intangible one — which is really the realm of the artist.

“Recognition of the subjectivity of the qualities of sense is found in Galilei (and also in Descartes and Hobbes) in a form closely related to the principle underlying the constructive mathematical method of our modern physics which repudiates" qualities."”

Hermann Weyl (1885–1955) German mathematician

Introduction
Space—Time—Matter (1952)

“Physics most strongly insists that its methods do not penetrate behind the symbolism.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

III, p.36
Science and the Unseen World (1929)

“One of the questions on which clarity of thinking is now most necessary is that of the relation between the methods of science and of Marxist philosophy. Although much has already been written on the subject, yet there is still an enormous amount of confusion and contradictory statement.”

John Desmond Bernal (1901–1971) British scientist

J.D. Bernal (1937) "Dialectical Materialism and Modern Science" in: Science and Society, Volume II, No. 1, Winter 1937; Online ( here http://www.marxists.org/archive/bernal/works/1930s/dsams.htm) on Marxists Internet Archive (2002).

“The realist method starts with the whole in order to distinguish the parts.”

Étienne Gilson (1884–1978) French historian and philosopher

Methodical Realism

“Descartes… complained that Greek geometry was so much tied to figures "that is can exercise the understanding only on condition of greatly fatiguing the imagination." Descartes also deplored that the methods of Euclidean geometry were exceedingly diverse and specialized and did not allow for general applicability. Each theorem required a new kind of proof… What impressed Descartes especially was that algebra enables man to reason efficiently. It mechanizes thought, and hence produces almost automatically results that may otherwise be difficult to establish…. historically it was Descartes who clearly perceived and called attention to this feature. Whereas geometry contained the truth about the universe, algebra offered the science of method. It is… paradoxical that great thinkers should be enamored with ideas that mechanize thought. Of course, their goal is to get at more difficult problems, as indeed they do.”

Morris Kline (1908–1992) American mathematician

Source: Mathematics for the Nonmathematician (1967), pp. 255-256.

“I cannot contribute anything to this world because I only have one method: agony.”

Emil M. Cioran (1911–1995) Romanian philosopher and essayist

Source: On the Heights of Despair (1934)

“The one who contributed most to break down the barrier between physical method and metaphysical method, and to confound their domains, so clearly distinguished in the Aristotelian philosophy, was surely Descartes.”

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Pierre Duhem8

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