Einsteins relativity work is a magnificent **mathematical** garb which fascinates, dazzles and makes people blind to the underlying errors. The theory is like a beggar clothed in purple whom ignorant people take for a king... its exponents are brilliant men but they are metaphysicists rather than scientists.

—

To emphasize only the beautiful seems to me to be like a **mathematical** system that only concerns itself with positive numbers.

— Diary entry (March 1906), # 759,

Conventions of generality and **mathematical** elegance may be just as much barriers to the attainment and diffusion of knowledge as may contentment with particularity and literary vagueness... It may well be that the slovenly and literary borderland between economics and sociology will be the most fruitful building ground during the years to come and that **mathematical** economics will remain too flawless in its perfection to be very fruitful.

— Boulding (1948) "Samuelson's Foundations: The Role of Mathematics in Economics," In:

There is (gentle reader) nothing (the works of God only set apart) which so much beautifies and adorns the soul and mind of man as does knowledge of the good arts and sciences . Many arts there are which beautify the mind of man; but of all none do more garnish and beautify it than those arts which are called **mathematical** , unto the knowledge of which no man can attain, without perfect knowledge and instruction of the principles, grounds, and Elements of Geometry.

— ?"The Mathematical Preface" to Henry Billingsley's English translation of Euclid's

God does not care about our **mathematical** difficulties. He integrates empirically.

— Attributed to Einstein by his colleague Léopold Infeld in his book

And last of all we have the secondary forms of crystals bursting in upon us, and sparkling in the rigidity of **mathematical** necessity and telling us, neither of harmony of design, usefulness or moral significance, nothing but spherical trigonometry and Napier's analogies. It is because we have blindly excluded the lessons of these angular bodies from the domain of human knowledge that we are still in doubt about the great doctrine that the only laws of matter are those which our minds must fabricate, and the only laws of mind are fabricated for it by matter.

— Essay "Analogies in Nature" (February 1856), reprinted in

Bacon expresses theological and moral truths in terms of **mathematical** phraseology. He compares the Trinity to an equilateral triangle, argues that the divine light of grace reaches the good in a direct perpendicular ray, the weak in a refracted ray, and the bad in a reflected ray, and compares the virtues to the rational numbers, and the passions to the irrational, etc.

— Francis Seymour Stevenson,

Remembering... that Eratosthenes of Cyrene, employing **mathematical** theories and geometrical methods, discovered from the course of the sun, the shadows cast by an equinoctial gnomon, and the inclination of the heaven that the circumference of the earth is two hundred and fifty-two thousand stadia, that is, thirty-one million five hundred thousand paces.

— Chapter VI, Sec. 9

Bacon expresses theological and moral truths in terms of **mathematical** phraseology. He compares the Trinity to an equilateral triangle, argues that the divine light of grace reaches the good in a direct perpendicular ray, the weak in a refracted ray, and the bad in a reflected ray, and compares the virtues to the rational numbers, and the passions to the irrational, etc.

— Francis Seymour Stevenson,

The subject of management science has evolved for more than 60 years and is now a mature field within the broad category of applied mathematics. This book will emphasize both the applied and **mathematical** aspects of management science.

— Wayne Winston, ?S. Albright (2011)

The **mathematical** is that evident aspect of things within which we are always
already moving and according to which we experience
them as things at all, and as such things. The
**mathematical** is this fundamental position we take toward
things by which we take up things as already given to
us, and as they must and should be given. Therefore,
the **mathematical** is the fundamental presupposition of
the knowledge of things.

— 'Modern Science, Metaphysics and Mathematics', collected in Basic Writings (1977).

I don't suppose that applies so much to other physicists; I think it’s a peculiarity of myself that I like to play about with equations, just looking for beautiful **mathematical** relations which maybe don’t have any physical meaning at all. Sometimes they do.

— Interview with Dr. P. A. M. Dirac by Thomas S. Kuhn at Dirac's home, Cambridge, England, May 7, 1963

I think that modern physics has definitely decided in favor of Plato. In fact the smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in **mathematical** language.

— As quoted in

Previous to the time of Pascal, who would have thought of measuring doubt and belief? Who could have conceived that the investigation of petty games of chance would have led to the most sublime branch of **mathematical** science - the theory of probabilities?

— Chapter I, Introduction, p.41

For reasons **mathematical**, psychological, and sociological, it is a good idea to use a money management system that is relatively forgiving of estimation errors.

— Part Six, Blowing Up, Survival Motive, p. 296-297

It seems to be expected of every pilgrim up the slopes of the **mathematical** Parnassus, that he will at some point or other of his journey sit down and invent a definite integral or two towards the increase of the common stock.

— Sylvester's

—

Every attempt to refer chemical questions to **mathematical** doctrines must be considered, now and always, profoundly irrational, as being contrary to the nature of the phenomena. . . . but if the employment of **mathematical** analysis should ever become so preponderant in chemistry (an aberration which is happily almost impossible) it would occasion vast and rapid retrogradation....

— Auguste Comte,

If physics leads us today to a world view which is essentially mystical, it returns, in a way, to its beginning, 2,500 years ago. [...] This time, however, it is not only based on intuition, but also on experiments of great precision and sophistication, and on a rigorous and consistent **mathematical** formalism.

— Ch. 1, Modern Physics, p. 19

Wisdom is not **mathematical**, nor astronomical, nor zoological; when it talks too much of any one thing it ceases to be itself. There are wise physicists, but wisdom is not physical; there are wise physicians, but wisdom is not medical.

— Preface (A History of Science Vol.1 Ancient Science Through the Golden Age of Greece (1952))

The significant contribution to mathematics we owe to the Arabs was to absorb Greek and Hindu mathematics, preserve it, and ultimately, through events we have yet to look in, transmit it to Europe. (...) In Spain the Arabs were constantly attacked and finally conquered in 1492 by the Christians; this ended the **mathematical** and scientific activity in the region.

— Morris Kline,

Koyré's exaltation of the " Platonic and Pythagorean " elements of the Scientific Revolution... was based on a demonstrably false understanding of how Galileo reached his conclusions. Koyré asserted that Galileo merely used experiments as a check on the theories he devised by **mathematical** reasoning. But later research has definitively established that Galileo's experiments preceeded his attempts to give a **mathematical** account of their results.

— Clifford D. Conner,

He filled his writings with **mathematical** discoveries, and exhibited on every occasion the remarkable connection between mathematics and philosophy.

— Eudemus of Rhodes (ca. 340 BC), as quoted in Proclus' commentaries on Euclid, referred to as the

**mathematical** Knowledge adds a manly Vigour to the Mind , frees it from Prejudice , Credulity, and Superstition .

— John Arbuthnot in: