Immanuel Kant quote: “Natural science is throughout either a pure or an applied doctrine of motion.”

“I maintain that in every special natural doctrine only so much science proper is to be met with as mathematics; for… science proper, especially of nature, requires a pure portion, lying at the foundation of the empirical, and based upon à priori knowledge of natural things. …the conception should be constructed. But the cognition of the reason through construction of conceptions is mathematical. A pure philosophy of nature in general, namely, one that only investigates what constitutes a nature in general, may thus be possible without mathematics; but a pure doctrine of nature respecting determinate natural things (corporeal doctrine and mental doctrine), is only possible by means of mathematics; and as in every natural doctrine only so much science proper is to be met with therein as there is cognition à priori, a doctrine of nature can only contain so much science proper as there is in it of applied mathematics.”

Immanuel Kant book Metaphysical Foundations of Natural Science

Preface, Tr. https://books.google.com/books?id=OCJLAAAAMAAJ Ernest Belfort Bax (1883)
Metaphysical Foundations of Natural Science (1786)

“There have been applied sciences throughout the ages. … However this so-called practice was not much more than paper in nearly all of these cases, and the various applied sciences were only lacking a bagatelle, namely proper scientific practice. The applied sciences show the application of theoretic doctrines in existing events; but that is precisely what it does, it merely shows. Whereas the scientific practice autonomously puts to use these theories.”

Christian Doppler (1803–1853) mathematician, physicist

in his review of Joseph Beskiba's textbook, published in the Österreichische Blätter für Literatur und Kunst (September 7, 1844), as quoted by [Peter Schuster, Moving the stars: Christian Doppler, his life, his works and principle, and the world after, Living edition, 2005, 3901585052, 78]

“Both pure and applied science have gradually pushed further and further the requirements for accuracy and precision. However, applied science, particularly in the mass production of interchangeable parts, is even more exacting than pure science in certain matters of accuracy and precision.”

Walter A. Shewhart (1891–1967) American statistician

Source: Statistical Method from the Viewpoint of Quality Control, 1939, p. 120

“This example illustrates the differences in the effects which may be produced by research in pure or applied science. A research on the lines of applied science would doubtless have led to improvement and development of the older methods—the research in pure science has given us an entirely new and much more powerful method. In fact, research in applied science leads to reforms, research in pure science leads to revolutions, and revolutions, whether political or industrial, are exceedingly profitable things if you are on the winning side.”

J. J. Thomson (1856–1940) British physicist

Cited from Lord Rayleigh, The Life of Sir J. J. Thomson (1943), p. 199.
Attributed

“There is no such thing as a religious theory, just like science doesn’t promote “non-religious doctrines” either. A doctrine is a set of taught beliefs. Science is an investigation; not a matter of belief.”

Aron Ra (1962) Aron Ra is an atheist activist and the host of the Ra-Men Podcast

Patheos, Orwellian Legislative Duplicity on HB 1485 http://www.patheos.com/blogs/reasonadvocates/2017/05/05/orwellian-legislative-duplicity-hb-1485/ (May 5, 2017)

“We may find illustrations of the highest doctrines of science in games and gymnastics, in travelling by land and by water, in storms of the air and of the sea, and wherever there is matter in motion.”

James Clerk Maxwell (1831–1879) Scottish physicist

Introductory Lecture on Experimental Physics held at Cambridge in October 1871, re-edited by W. D. Niven (2003) in Volume 2 of The Scientific Papers of James Clerk Maxwell, Courier Dover Publications, p. 243.

“Science discovers these laws of power, motion and transformation; industry applies them to raw matter which the earth yields us in abundance, but which becomes valuable only by knowledge.”

Albert, Prince Consort (1819–1861) husband of Queen Victoria

Inaugural Address of the Great Exhibition of the Works of Industry of All Nations, London (1851).
Context: Nobody who has paid any attention to the peculiar features of our present era will doubt for a moment that we are living at a period of most wonderful transition which tends rapidly to the accomplishment that great end to which, indeed, all history points—the realization of the unity of mankind.... The distances which separated the different nations and parts of the globe are rapidly vanishing before the achievements of modern invention, and we can traverse them with incredible ease; the languages of all nations are known, and their acquirement placed within the reach of everybody; thought is communicated with the rapidity and even by the power of lightning... The knowledge acquired becomes at once the property of all of the community at large... no sooner is a discovery or invention made, than it is already improved upon and surpassed by competing efforts: the products of all quarters of the globe are placed at our disposal, and we have only to choose which is the best and the cheapest for our purposes, and the powers of production are entrusted to the stimulus of competition and capital.... Science discovers these laws of power, motion and transformation; industry applies them to raw matter which the earth yields us in abundance, but which becomes valuable only by knowledge.

“Throughout the nineteenth century, apart from the division in theoretical sciences and arts, classifiers attempted to divide the sciences into two groups. Already they had before them the examples of Francis Bacon (speculative and descriptive) and Hobbes (quantitative and qualitative). For Coleridge, the sciences were either pure (Grammar, Logic, Rhetoric, Mathematics, Metaphysics) or mixed. Arthur Schopenhauer’s similar groups were called pure and empirical, Wilhelm Wundt in 1887 called them formal and empirical, Globot mathematical and theoretical, and the St. Louis Congress of Arts and Sciences (1904) normative and physical.”

Brian Campbell Vickery (1918–2009) British information theorist

Karl Pearson made similar division of the sciences into abstract and concrete
Source: Classification and indexing in science (1958), Other Chapters, p. 154.

“War has given applied psychology a tremendous impulse. This will, on the whole, do good, for psychology, which is the largest and last of the sciences, must not try to be too pure.”

G. Stanley Hall (1846–1924) American psychologist

G. Stanley Hall (1919); Cited in O'Donnell, John M. " The crisis of experimentalism in the 1920s: EG Boring and his uses of history http://www.chronicstrangers.com/history%20documents/Boring,%20Values,%20and%20History.pdf." American Psychologist 34.4 (1979). p. 290

“There is the growth of applied science, the increased interest in the control and reconstruction of nature, accompanied by a decline in the practice of meditation or the vocation of the intellectual life.”

Ralph Barton Perry (1876–1957) American philosopher

[describing the historical causes of the modern tendency to make intellect the servant of alien interests]
The Integrity of the Intellect (July 1920)

“Natural science is throughout either a pure or an applied doctrine of motion.”

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