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.

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.

—

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)

**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

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 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

Men are constantly attracted and deluded by two opposite charms: the charm of competence which is engendered by **Mathematics** and everything akin to **Mathematics**, and the charm of humble awe, which is engendered by meditation on the human soul and its experiences. Philosophy is characterized by the gentle, if firm, refusal to succumb to either charm.

— Leo Strauss,

As the prerogative of Natural Science is to cultivate a taste for observation, so that of **Mathematics** is, almost from the starting point, to stimulate the faculty of invention.

— "A plea for the mathematician",

Do not worry about your difficulties in **Mathematics**. I can assure you mine are still greater.

— Letter to high school student Barbara Lee Wilson (7 January 1943), Einstein Archives 42-606

**Mathematics** is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere.

— W. S. Anglin, in

[There is] a delusion that macro-economics is both viableanduseful (a
delusionencouraged by its extensive use of **Mathematics**,
which must always impress politicians lacking
any mathematical education, and which is really the
nearest thing to the practice of magic that occurs among
professional economists).

— 1989 The Fatal Conceit: The Errors of Socialism, ch.6.

Sexually progressive cultures gave us **Mathematics**, literature, philosophy, civilization and the rest, while sexually restrictive cultures gave us the Dark Ages and the Holocaust. Not that I’m trying to load my argument, of course.

— "BOG VENUS VERSUS NAZI COCK-RING: Some Thoughts Concerning Pornography" in

Great physics does not automatically imply complicated **Mathematics**!

— Martinus Veltman (2003).

Our future rates of gain will fall far short of those achieved in the past. Berkshire's capital base is now simply too large to allow us to earn truly outsized returns. If you believe otherwise, you should consider a career in sales but avoid one in **Mathematics** (bearing in mind that there are really only three kinds of people in the world: those who can count and those who can't).

— 1998 Chairman's Letter

It was an All-in-One and One-in-All of limitless being and self not merely a thing of one Space-Time continuum, but allied to the ultimate animating essence of existence's whole unbounded sweep the last, utter sweep which has no confines and which outreaches fancy and **Mathematics** alike. It was perhaps that which certain secret cults of earth have whispered of as YOG-SOTHOTH, and which has been a deity under other names; that which the crustaceans of Yuggoth worship as the Beyond-One, and which the vaporous brains of the spiral nebulae know by an untranslatable Sign...

— "Through the Gates of the Silver Key " - written with E. Hoffman Price, October 1932 - Apr 1933; first published in

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity . The activity of the intuition consists in making spontaneous judgements which are not the result of conscious trains of reasoning... The exercise of ingenuity in **Mathematics** consists in aiding the intuition through suitable arrangements of propositions, and perhaps geometrical figures or drawings.

— "Systems of Logic Based on Ordinals," section 11: The purpose of ordinal logics (1938), published in

In a footnote to the first sentence, Turing added: "We are leaving out of account that most important faculty which distinguishes topics of interest from others; in fact, we are regarding the function of the mathematician as simply to determine the truth or falsity of propositions."

God used beautiful **Mathematics** in creating the world.

— As quoted in