“It can have no analogy in fact with the descriptions of those who know nothing of the subject; furthermore, it is not to be represented as this or that by any person whomsoever: it is that which it is, drawing from itself only, even as mathematics do, for it is the exact and absolute science of Nature and her laws.”

Introduction
The History Of Magic (1860)

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Eliphas Levi22

French writer 1810–1875

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“Magic is that which it is; it is by itself, like the mathematics; for it is the exact and absolute science of Nature and its laws.
Magic is the science of the Ancient Magi: and the Christian religion, which has imposed silence on the lying oracles, and put an end to the prestiges of the false Gods, itself reveres those Magi who came from the East, guided by a Star, to adore the Saviour of the world in His cradle.”

Albert Pike book Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry

Source: Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry (1871), Ch. XXXII : Sublime Prince of the Royal Secret, p. 841

“To this I can only reply as follows: Your point of view — taken as theoretical possibility — is incontestable. For me, however, the expectation that the adequate formulation of the universal laws involves the use of all conceptual elements which are necessary for a complete description, is more natural. It is furthermore not at all surprising that, by using an incomplete description, (in the main) only statistical statements can be obtained out of such description. If it should be possible to move forward to a complete description, it is likely that the laws would represent relations among all the conceptual elements of this description which, per se, have nothing to do with statistics.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Albert Einstein: Philosopher-Scientist, Cambridge University Press, 1949, p. 672
"Einstein's Reply to Criticisms" (1949)

“On principle, there is nothing new in the postulate that in the end exact science should aim at nothing more than the description of what can really be observed. The question is only whether from now on we shall have to refrain from tying description to a clear hypothesis about the real nature of the world. There are many who wish to pronounce such abdication even today. But I believe that this means making things a little too easy for oneself.”

Erwin Schrödinger (1887–1961) Austrian physicist

"The Fundamental Idea of Wave Mechanics", Nobel lecture, (12 December 1933)
Context: Conditions are admittedly such that we can always manage to make do in each concrete individual case without the two different aspects leading to different expectations as to the result of certain experiments. We cannot, however, manage to make do with such old, familiar, and seemingly indispensable terms as "real" or "only possible"; we are never in a position to say what really is or what really happens, but we can only say what will be observed in any concrete individual case. Will we have to be permanently satisfied with this...? On principle, yes. On principle, there is nothing new in the postulate that in the end exact science should aim at nothing more than the description of what can really be observed. The question is only whether from now on we shall have to refrain from tying description to a clear hypothesis about the real nature of the world. There are many who wish to pronounce such abdication even today. But I believe that this means making things a little too easy for oneself.

“It was mathematics, the non-empirical science par excellence, wherein the mind appears to play only with itself, that turned out to be the science of sciences, delivering the key to those laws of nature and the universe that are concealed by appearances.”

Hannah Arendt book The Life of the Mind

Source: The Life of the Mind (1971/1978), p. 7.

“Nature knows nothing but solid bodies; your science deals only with combinations of surfaces. And so nature constantly gives the lie to all your laws; can you name one to which no fact makes an exception?”

Honoré de Balzac book Séraphîta

Source: Seraphita (1835), Ch. 4: The Clouds of the Sanctuary.

“There is nothing in any object, consider'd in itself, which can afford us a reason for drawing a conclusion beyond it; […] even after the observation of the frequent or constant conjunction of objects, we have no reason to draw any inference concerning any object beyond those of which we have had experience.”

David Hume book A Treatise of Human Nature

Part 3, Section 12
A Treatise of Human Nature (1739-40), Book 1: Of the understanding

“There is not only a close analogy between the operations of the mind in general reasoning and its operations in the particular science of Algebra, but there is to a considerable extent an exact agreement in the laws by which the two classes of operations are conducted.”

George Boole (1815–1864) English mathematician, philosopher and logician

Source: 1850s, An Investigation of the Laws of Thought (1854), p. 6; As cited in: Leandro N. De Castro, Fernando J. Von Zuben, Recent Developments in Biologically Inspired Computing, Idea Group Inc (IGI), 2005 p. 236

“Every one knows that the fine phrase "God geometrizes" is attributed to Plato, but few know where this famous passage is found, or the exact words in which it was first expressed. Those who, like the author, have spent hours and even days in the search of the exact statements, or the exact references, of similar famous passages, will not question the timeliness and usefulness of a book whose distinct purpose it is to bring together into a single volume exact quotations, with their exact references, bearing on one of the most time-honored, and even today the most active and most fruitful of all the sciences, the queen-mother of all the sciences, that is, mathematics.”

Robert Edouard Moritz (1868–1940) German mathematician

Robert Edouard Moritz. On Mathematics and Mathematicians https://archive.org/details/onmathematicsmat00mori, 1914, 1942, 1958; p. v; Preface, lead sentence

“In this branch of study exactness is an essential feature; and mathematical difficulties must not be shrunk from when the nature of the subject leads to them.”

William John Macquorn Rankine (1820–1872) civil engineer

p, 125
"On the Harmony of Theory and Practice in Mechanics" (Jan. 3, 1856)

“It is to this background that our own personality and consciousness belong, and those spiritual aspects of our nature not to be described by any symbolism… to which mathematical physics has hitherto restricted itself.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

Science and the Unseen World (1929)
Context: It remains a real world if there is a background to the symbols—an unknown quantity which the mathematical symbol x stands for. We think we are not wholly cut off from this background. It is to this background that our own personality and consciousness belong, and those spiritual aspects of our nature not to be described by any symbolism... to which mathematical physics has hitherto restricted itself.<!--III, p.37-38

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