“Having discovered the true principle, I then derived all the laws that govern the motion of light, those concerning its direct propagation, its reflection and its refraction. I reserve for particular members of our Assembly the geometrical demonstration of my theory.
I know the distaste that many mathematicians have for final causes applied to physics, a distaste that I share up to some point. I admit, it is risky to introduce such elements; their use is dangerous, as shown by the errors made by Fermat and Leibniz in following them. Nevertheless, it is perhaps not the principle that is dangerous, but rather the hastiness in taking as a basic principle that which is merely a consequence of a basic principle.”

Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)

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Pierre Louis Maupertuis24

French mathematician, philosopher and man of letters 1698–1759

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“The refraction of light agrees with the grand principle that Nature always uses the simplest means to accomplish its effects. From this principle, can be derived whenever light passes from one medium to another, the ratio of the sine of the angle of refraction to the sine of the angle of refraction equals the inverse ratio of the speeds at which light moves in each medium.
But this "budget", this expense of action that Nature minimizes in the refraction of light, is it also minimized in the direct propagation and reflection of light? Yes, it always has the smallest possible value.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)

“The ancient Greeks knew the laws that govern the propagation of light in a uniform medium and upon its reflection. However, the law governing the refraction of light as it passes from one transparent medium to another was unknown until the last century. Snell discovered it, Descartes tried to explain it and Fermat criticized his explanation. Since then, many great geometers have researched the problem, although no one has yet found a way of harmonizing the law of refraction with more fundamental laws that Nature must obey.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)

“I met with an accident about five weeks ago in London, which has prevented my walking ever since, and I think I broke one of the metatarsal bones; this has been a favourable circumstance, for it has increased my literary application in a considerable degree. I have been studying, not the theory of the winds, but of the air, and I have made observations on harmonics which I believe are new. Several circumstances unknown to the English mathematicians which I thought I had first discovered, I since find to have been discovered and demonstrated by the foreign mathematicians; in fact, Britain is very much behind its neighbours in many branches of the mathematics: were I to apply deeply to them, I would become a disciple of the French and German school; but the field is too wide and too barren for me.”

Thomas Young (scientist) (1773–1829) English polymath

Letter to Dr. Bostock (June, 1798) as quoted by George Peacock, Life of Thomas Young (1855)

“I have lately spent some Thoughts relative to the Nature of Light, whether it be subject to the common Laws of Motion. In this particular Newton seems to contradict himself. For in his Principia Sect. 14th he applies the common Laws of Motion to account for Reflection and Refraction, as he does also in one Part of his Optics where he proves the Sine of Incid. to Sine Refr, in a given in a given Ratio. But in another Part he says, “nothing more is requisite for producing all the Variety of Colours and Degrees of Refrangibility than that the Rays of Light be Bodies of different Sizes, the least of which may make Violet, and the Greatest the Red"; this manifestly is not consistent with the Theory of Motion applied to Bodies, where the Magnitude of the Bodies is of no Consequence. Now it is evident that if the common Theory of Motion can be applied to Light, the Red Light must have had the greatest Velocity before Incidence, as it suffers the least Deviation, for if the Vels of all the Difft colour'd Light were equal before Incidence, they must by Newton's Principia Sect. Sect. 8. Prop. 1. have continued equal after, and therefore must have suffered the same Deviation. The Determination of this Point seems to be of considerable Importance, as we so often apply the Theory of Motion to Light.”

Samuel Vince (1749–1821) British mathematician, astronomer and physicist

As quoted in: Russell McCormmach (2011) Weighing the World: The Reverend John Michell of Thornhill. p. 193

“Thus, there exist models, principles, and laws that apply to generalized systems or their subclasses, irrespective of their particular kind, the nature of their component elements, and the relations or „forces‟ between them. It seems legitimate to ask for a theory, not of systems of a more or less special kind, but of universal principles applying to systems in general. In this way, we postulate a new discipline called General Systems Theory. Its subject matter is the formulation and derivation of those principles, which are valid for „systems‟ in general.”

Ludwig von Bertalanffy (1901–1972) austrian biologist and philosopher

Source: General System Theory (1968), 2. The Meaning of General Systems Theory, p. 32

“First, you know, a new theory is attacked as absurd; then it is admitted to be true, but obvious and insignificant; finally it is seen to be so important that its adversaries claim that they themselves discovered it.”

William James (1842–1910) American philosopher, psychologist, and pragmatist

Lecture VI, Pragmatism's Conception of Truth
1900s, Pragmatism: A New Name for Some Old Ways of Thinking (1907)

“When the year was completed, I began to examine and compare my observations, and having pretty well satisfied myself as to the general laws of the phenomena, I then endeavored to find out the cause of them. I was already convinced that the apparent motion of the stars was not owing to the nutation of the earth's axis. The next thing that offered itself was an alteration in the direction of the plumb-line with which the instrument was constantly rectified; but this upon trial proved insufficient. Then I considered what refraction might do, but here also nothing satisfactory occurred. At length I conjectured that all the phenomena hitherto mentioned, proceeded from the progressive motion of light and the earth's annual motion in its orbit. For I perceived that, if light was propagated in time, the apparent place of a fixed object would not be the same when the eye is at rest, as when it is moving in any other direction than that of the line passing through the eye and the object; and that, when the eye is moving in different directions, the apparent place of the object would be different.”

James Bradley (1693–1762) English astronomer; Astronomer Royal

As quoted by W. S. Eichelberger, "The Distances of the Heavenly Bodies," http://www.jstor.org/stable/1639343 Science New Series, Vol. 43, No. 1110 (Apr. 7, 1916), pp. 475-483.

“How the radiance of heaven, diffused all round me, used to lift up my soul to its own contemplation! to such a degree that I discovered for myself that the moon's motion was in the opposite direction to that of the rest of the system, long before I met with any works giving the philosophy of such matters.”

Julian (emperor) (331–363) Roman Emperor, philosopher and writer

Upon the Sovereign Sun (362)
Context: From my earliest infancy I was possessed with a strange longing for the solar rays, so that when, as a boy, I cast my eyes upon the ethereal splendour, my soul felt seized and carried up out of itself. And not merely was it my delight to gaze upon the solar brightness, but at night also whenever I walked out in clear weather, disregarding all else, I used to fix my eyes upon the beauty of the heavens; so that I neither paid attention to what was said to me, nor took any notice of what was going on. On this account, people used to think me too much given to such pursuits, and far too inquisitive for my age: and they even suspected me, long before my beard was grown, of practising divination by means of the heavenly bodies. And. yet at that time no book on the subject had fallen into my hands, and I was utterly ignorant of what that science meant. But what use is it to quote these matters, when I have still stranger things to mention; if I should mention what I at that time thought about the gods? But let oblivion rest upon that epoch of darkness! How the radiance of heaven, diffused all round me, used to lift up my soul to its own contemplation! to such a degree that I discovered for myself that the moon's motion was in the opposite direction to that of the rest of the system, long before I met with any works giving the philosophy of such matters.

“So we have these wide principles which sweep across all the different laws, and if one takes too seriously its derivations, and feels that this is only valid because this [assumed more fundamental principle] is valid, you cannot understand the interconnections of the different branches of physics. Some day, when physics is complete, then maybe with this kind of argument we'll know all the laws, then we can start with some axioms (and no doubt somebody will figure out a particular way of doing it) and then all the deductions will be made. But while we don't know all the laws, we can use some to make guesses at theorems which extend beyond the proof.”

Richard Feynman book The Character of Physical Law

Source: The Character of Physical Law (1965), chapter 2, “The Relation of Mathematics to Physics”

“I have composed this work neither for the common people, nor for beginners, nor for those who occupy themselves only with the Law as it is handed down without concerning themselves with its principles. The design of this work is rather to promote the true understanding of the real spirit of the Law”

Maimónides book The Guide for the Perplexed

As quoted in The Jewish Encyclopedia (12 vols. 1901-1906) http://www.jewishencyclopedia.com/view.jsp?artid=905&letter=M <br class="br">Guide for the Perplexed (c. 1190), Introduction <br class="br">Context: I have composed this work neither for the common people, nor for beginners, nor for those who occupy themselves only with the Law as it is handed down without concerning themselves with its principles. The design of this work is rather to promote the true understanding of the real spirit of the Law, to guide those religious persons who, adhering to the Torah, have studied philosophy and are embarrassed by the contradictions between the teachings of philosophy and the literal sense of the Torah.

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Pierre Louis Maupertuis24

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