“Let us calculate the motion of bodies, but also consult the plans of the Intelligence that makes them move.
It seems that the ancient philosophers made the first attempts at this sort of science, in looking for metaphysical relationships between numbers and material bodies. When they said that God occupies himself with geometry, they surely meant that He unites in that science the works of His power with the perspectives of His wisdom.
From the all too few ancient geometers who undertook such studies, we have little that is intelligible or well-founded. The perfection which geometry has acquired since their time puts us in a better position to succeed, and may more than compensate for the advantages that those great minds had over us.”

— Pierre Louis Maupertuis

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

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French mathematician, philosopher and man of letters 1698–1759

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“We cannot doubt that all things are regulated by a supreme Being, who, while he has imprinted on matter forces which show his power, has destined it to execute effects which mark his wisdom… Let us calculate the motion of bodies, but let us also consult the designs of the Intelligence which makes them move.”

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

Les Oeuvres De Mr. De Maupertuis (1752) vol. iv p. 22; as quoted by Philip Edward Bertrand Jourdain, The Principle of Least Action (1913) p. 6.

“First, anyone who seriously intends to become a philosopher must "once in his life" withdraw into himself and attempt, within himself, to overthrow and build anew all the sciences that, up to then, he has been accepting.”

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Edmund Husserl, Cartesian Meditations (1931). Méditations cartésiennes

“An ancient writer said that arithmetic and geometry are the wings of mathematics; I believe one can say without speaking metaphorically that these two sciences are the foundation and essence of all the sciences which deal with quantity. Not only are they the foundation, they are also, as it were, the capstones; for, whenever a result has been arrived at, in order to use that result, it is necessary to translate it into numbers or into lines; to translate it into numbers requires the aid of arithmetic, to translate it into lines necessitates the use of geometry.”

Joseph Louis Lagrange (1736–1813) Italian mathematician and mathematical physicist

Dans Les Leçons Élémentaires sur les Mathématiques (1795) Leçon cinquiéme, Tr. McCormack, cited in Moritz, Memorabilia mathematica or, The philomath's quotation-book (1914) Ch. 15 Arithmetic, p. 261. https://archive.org/stream/memorabiliamathe00moriiala#page/260/mode/2up

“His own voice was older than he was. Ancient, unearthed from some mystical subterranean place… The voice seemed to make his whole body ache. Maybe it made him bleed inside. I wondered if it hurt, if it burned in his throat.”

Francesca Lia Block (1962) American children's writer

“That which is now called natural philosophy, embracing the whole circle of science, of which astronomy occupies the chief place, is the study of the works of God, and of the power and wisdom of God in his works, and is the true theology.”

Thomas Paine book The Age of Reason

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“By science I mean an assemblage of transcendental propositions discoverable by human reason, and reducible to first principles, axioms, or maxims, from which they may all be derived in a regular succession; and there are consequently as many sciences as there are general objects of our intellectual powers: when man first exerts those powers, his objects are himself and the rest of nature; himself he perceives to be composed of body and mind… and in the leisure… his intellect is directed to nature at large, to the substance of natural bodies, to their several properties, and to their quantity… and… arrives at the demonstration of a first intelligent cause; whence his collected wisdom, being arranged in the form of science, chiefly consists of physiology and medicine, metaphysicks and logick, ethicks and jurisprudence, natural philosophy and mathematicks; from which the religion of nature (since revealed religion must be referred to history, as alone affording evidence of it) has in all ages and in all nations been the sublime and consoling result.”

William Jones (1746–1794) Anglo-Welsh philologist and scholar of ancient India

p, 125
"On the Philosophy of the Asiatics" (1794)

“The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic. It has engaged the industry and wisdom of ancient and modern geometers to such an extent that it would be superfluous to discuss the problem at length. … Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.”

Carl Friedrich Gauss book Disquisitiones Arithmeticae

Problema, numeros primos a compositis dignoscendi, hosque in factores suos primos resolvendi, ad gravissima ac utilissima totius arithmeticae pertinere, et geometrarum tum veterum tum recentiorum industriam ac sagacitatem occupavisse, tam notum est, ut de hac re copiose loqui superfluum foret. … [P]raetereaque scientiae dignitas requirere videtur, ut omnia subsidia ad solutionem problematis tam elegantis ac celebris sedulo excolantur.
Disquisitiones Arithmeticae (1801): Article 329

“All natural philosophers, who wished to proceed mathematically in their work, have hence invariably (although unknown to themselves) made use of metaphysical principles, and must make use of such, it matters not how energetically they may otherwise repudiate any claim of metaphysics on their science.”

Immanuel Kant (1724–1804) German philosopher

Preface, Tr. Bax (1883)
(1786)

“When I looked at the science of engineering and saw that it had disappeared after its ancient heritage, that its masters have perished, and that their memories are now forgotten, I worked my wits and thoughts in secrecy about philosophical shapes and figures, which could move the mind, with effort, from nothingness to being and from idleness to motion. And I arranged these shapes one by one in drawings and explained them.”

Al-Muradi

Al-Muradi, The Book of Secrets in the Results of Ideas, 11th century; Translated and cited at leonardo3.net/bookofsecrets/index http://www.leonardo3.net/bookofsecrets/index_eng.html, 2015

“Research into motion was not to the liking (or perhaps not within the scope) of the ancients, so that we may consider it as a completely new science. How could the ancients have discovered the laws of moiton, given that some philosophers reduced all their speculations about motion to sophistic disputes, whereas others denied that motion existed at all?”

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

Les Loix du Mouvement et du Repos, déduites d'un Principe Métaphysique (1746)

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