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)

**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:

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.

— 'Minority Report'. Collected in Notebooks (1956).

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

Today's scientists have substituted **Mathematics** for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.

— "Radio Power Will Revolutionize the World" in

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

Do not lose your faith. A mighty fortress is our **Mathematics**. **Mathematics** will rise to the challenge, as it always has.

— In Heinz R. Pagels,

Hungary, severed from half of the population and most of the natural resources that it had once claimed, had now to practice a sort of economic acupuncture, striving to know the magic nodes in the global energy flow where a pinprick could alter the workings of a major organ. **Mathematics** was one of the few disciplines where it was possible to exert that degree of leverage, and so the Hungarians had become phenomenally good at teaching it to their children.

— Day 4 (Part I: Nine Dragons)

**Mathematics** is not something that you find lying around in your back yard. It’s produced by the human mind. Yet if we ask where **Mathematics** works best, it is in areas like particle physics and astrophysics, areas of fundamental science that are very, very far removed from everyday affairs.

— Paul Davies,

Grattan-Guinness has achieved a synthesis here of remarkable historical and mathematical scope and sensitivity. His book is a 'must read' for historians of science and **Mathematics**, as well as mathematicians.

— From Karen Hunger Parshall's review of

Angling may be said to be so like the **Mathematics** that it can never be fully learnt.

—

Being a language, **Mathematics** may be used not only to inform but also, among other things, to seduce.

—

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,

* 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.

— Murray Gell-Mann

Today's scientists have substituted **Mathematics** for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.

— Nikola Tesla (1934) cited in: Cheney, Uth & Glenn (1999)

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