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

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

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,

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 gut-feel of the 55-year old trader is more important than the
**mathematical** elegance of the 25-year old genius.

— 1995 In the NewYork Times, 6 Mar, shortly after the collapse of Barings in Singapore brought about by a young derivatives trader.

If the system exhibits a structure which can be represented by a **mathematical** equivalent, called a **mathematical** model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of **mathematical** models is termed **mathematical** programming.

— p.2 (Linear programming and extensions, (1963))

To illustrate to what extent Hardy and Littlewood in the course of the years came to be considered as the leaders of recent English **mathematical** research, I may report what an excellent colleague once jokingly said: 'Nowadays, there are only three really great English mathematicians: Hardy, Littlewood, and Hardy-Littlewood.'

— Harald Bohr, "Looking Backward".

An uniformity of weights and measures, arranged upon **mathematical** principles, would be a benefit to the whole commercial world, if it were wise enough to adopt such an expedient.

— Book III, On Consumption, Chapter VI, Section II, p. 433

The **mathematical** forms of order which the mind of a physicist manipulates coincides "miraculously" with experimental measurements.

— p. 269 (Creation Renewed & Reversed)

An old French mathematician said: A **mathematical** theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street. This clearness and ease of comprehension, here insisted on for a **mathematical** theory, I should still more demand for a **mathematical** problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.

— Eine mathematische Theorie ist nicht eher als vollkommen anzusehen, als bis du sie so klar gemacht hast, daß du sie dem ersten Manne erklären könntest, den du auf der Straße triffst.

Courage is not a quality one normally associates with mathematicians. Yet it should apply to people who work in their attics in secret for seven years without cease on a problem that has eluded the greatest **mathematical** minds since first proposed in 1637.

— Column, July 5, 1993, "An Age-old Puzzle, Solved Modestly" at

Physics is **mathematical** not because we know so much about the physical world, but because we know so little: it is only its **mathematical** properties that we can discover.

—

The definition of random in terms of a physical operation is notoriously without effect on the **mathematical** operations of statistical theory because so far as these **mathematical** operations are concerned random is purely and simply an undefined term.

— Walter A. Shewhart and W. Edwards Deming,

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,

It is a remarkable fact in the history of geometry , that the Elements of Euclid, written two thousand years ago, are still regarded by many as the best introduction to the **mathematical** sciences.

— Florian Cajori,

**mathematical** Analysis is as extensive as nature herself.

— Jean Baptiste Joseph Fourier in "Fourier Analysis" by T.W.Korner quoted in Mathematical Analysis, Universities Press, 2001, p.120

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