It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to **Mathematics**, though she is still forbidden to resort to physics and chemistry.

—

Origami helps in the study of **Mathematics** and science in many ways. ... Using origami anyone can become a scientific experimenter with no fuss.

— Martin Kruskal, a mathematician at Rutgers University, as quoted by Science Daily Origami Helps Scientists Solve Problems, February 21, 2002.

At present, when the prevailing forms of society have become hindrances to the free expression of human powers, it is precisely the abstract branches of science, **Mathematics** and theoretical physics, which ... offer a less distorted form of knowledge than other branches of science which are interwoven with the pattern of daily life, and the practicality of which seemingly testifies to their realistic character.

— "The Latest Attack on Metaphysics" (1937, p. 133)

When I came back from Munich, it was September, and I was Professor of **Mathematics** at the Eindhoven University of Technology. Later I learned that I had been the Department's third choice, after two numerical analysts had turned the invitation down; the decision to invite me had not been an easy one, on the one hand because I had not really studied **Mathematics**, and on the other hand because of my sandals, my beard and my "arrogance" (whatever that may be).

— Dijkstra (1993) "From my Life" (EWD 1166)

**Mathematics** is the gate and key of the sciences... Neglect of **Mathematics** works injury to all knowledge , since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy.

— cited in: Morris Kline (1969)

General Systems Theory is a name which has come into use to describe a level of theoretical model-building which lies somewhere between the highly generalized constructions of pure **Mathematics** and the specific theories of the specialized disciplines. **Mathematics** attempts to organize highly general relationships into a coherent system, a system however which does not have any necessary connections with the "real" world around us. It studies all thinkable relationships abstracted from any concrete situation or body of empirical knowledge.

— Kenneth Boulding (1956) "General systems theory - the skeleton of science" in:

Like all of **Mathematics**, game theory is a tautology whose conclusions are true because they are contained in the premises.

— Chapter 10, What Have We Learned?, p. 164

Three principles — the conformability of nature to herself, the applicability of the criterion of simplicity, and the "unreasonable effectiveness" of certain parts of **Mathematics** in describing physical reality — are thus consequences of the underlying law of the elementary particles and their interactions. Those three principles need not be assumed as separate metaphysical postulates. Instead, they are emergent properties of the fundamental laws of physics.

— TED talk on beauty and truth in physics —video timecode 14m28s (March 2007)

Thanks to my memory, which enabled me to quote Latin and to discuss Greek and Roman civilization, it became obvious to some of my colleagues in other fields that I was interested in things outside **Mathematics**. This lead quickly to very pleasant relationships.

— Chapter 7, The University of Wisconsin, p. 125

The land of easy **Mathematics** where he who works adds up and he who retires subtracts.

— In the short story

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)

It is noteworthy that modern Platonists , almost without exception, are ignorant of **Mathematics**, in spite of the immense importance that Plato attached to arithmetic and geometry, and the immense influence that they [these studies] had on his philosophy. This is an example of the evils of specialization: a man must not write on Plato unless he has spent so much of his youth on Greek as to have no time for the things that Plato thought important.

— Book One, Part II, Chapter XV, The Theory of Ideas, p. 132

**Mathematics** my foot! Algorithms are **Mathematics** too, and often more interesting and definitely more useful.

— The Narrow-Minded and Ignorant Referee's Report [and Zeilberger's Response] of Zeilberger's Paper "Automaric CounTilings" that was rejected by Helene Barcelo and the Members of the Advisory Board [that includes(!) Enumeration Expert Mireille Bousquet-Melou] of the Journal of Combinatorial Theory-Series A. [1]

Wherever **Mathematics** is mixed up with anything, which is outside its field, you will find attempts to demonstrate these merely conventional propositions a priori, and it will be your task to find out the false deduction in each case.

—

[**Mathematics** is] the science that draws necessary conclusions.

— Benjamin Peirce, "Linear Associative Algebra",

The new art must be based upon science — in particular, upon **Mathematics**, as the most exact, logical, and graphically constructive of the sciences.

— As quoted in

As a mathematician, von Neumann was quick, brilliant, efficient, and enormously broad in scientific interests beyond **Mathematics** itself. He knew his technical abilities; his virtuosity in following complicated reasoning and his insights were supreme; yet he lacked absolute self confidence.

— Chapter 4, Princeton Days, p. 76

Let me also remind you that zero, like all of **Mathematics**, is fictional and an idealization. It is impossible to reach absolute zero temperature or to get perfect vacuum. Luckily, **Mathematics** is a fairyland where ideal and fictional objects are possible.

— " " (

The idea of an isolated American painting , so popular in this country during the thirties, seems absurd to me, just as the idea of a purely American **Mathematics** or physics would seem absurd... And in another sense, the problem doesn’t exist at all; or, if it did, would solve itself: An American is an American and his painting would naturally be qualified by the fact, whether he wills or not. But the basic problems of contemporary painting are independent of any one country.

— As quoted in

It was, however, from Spain, and not from Arabia, that a knowledge of eastern **Mathematics** first came into western Europe. The Moors had established their rules in Spain in 747, and by the tenth or eleven century had attained a high degree of civilisation.

— W. W. Rouse Ball,

Like all of **Mathematics**, game theory is a tautology whose conclusions are true because they are contained in the premises.

— Thomas Flanagan (1998)

Mystical doctrines as to the relation of time to eternity are also reinforced by pure **Mathematics**, for the mathematical objects, such as numbers, if real at all, are eternal and not in time. Such eternal objects can be conceived as God's thoughts. Hence Plato's doctrine that God is a geometer, and Sir James Jeans' belief that He is addicted to arithmetic.

— Book One, Part I, Chapter III, Pythagoras, p. 37

Computer science is neither **Mathematics** nor electrical engineering

— Alan Perlis (1968) title of article "Computer Science is neither Mathematics nor Electrical Engineering" in: A. Finerman (Hg.), University Education in Computing Science, New York, London, pp. 69-77

Anyone who cannot cope with **Mathematics** is not fully human. At best he is a tolerable sub-human who has learned to wear shoes, bathe, and not make messes in the house.

— Robert Heinlein,