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)

**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

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.

— "General systems theory - the skeleton of science" in:

**Mathematics** is the bold luxury of pure reason, one of the few that remain today.

— “Mathematical man” (1913), B. Pike and D. Luft, trans.,

As far as the laws of **Mathematics** refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.

— Quoted in Fritjof Capra The Tao of Physics (1975), ch.2.

Do not **Mathematics** and all sciences seem full of contradictions and impossibilities to the ignorant, which are all resolved and cleared to those that understand them?

— Reported in Josiah Hotchkiss Gilbert,

I came into history from a primary concern with **Mathematics** and science. This has been a tremendous help to me as a person and as a historian, although it must be admitted it has served to make my historical interpretations less conventional than may be acceptable of many of my colleagues in the field.

— Preface to the First Edition, p. 27

If in other sciences we should arrive at certainty without doubt and truth without error , it behooves us to place the foundations of knowledge in **Mathematics**...

— Bk. 1, ch. 4. Translated by Robert B. Burke, in: Edward Grant (1974)

The science you enjoy now is the science we taught you. The medicine you treat yourselves with is the medicine we gave you. It’s the same with the astronomy you know, the **Mathematics**, the literature, the art...

— Interview with Oriana Fallaci (2 December 1979),

I like **Mathematics** because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because, like Spinoza 's God, it won't love us in return.

— Letter to Lady Ottoline Morrell, March, 1912,The above proposition is occasionally useful.as quoted in

Concern for the symbol has completely disappeared from our science. And yet, if one were to give oneself the trouble, one could easily find, in certain parts at least of contemporary **Mathematics**... symbols as clear, as beautiful, and as full of spiritual meaning as that of the circle and mediation. From modern thought to ancient wisdom the path would be short and direct, if one cared to take it.

—

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

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

— In the short story

Saying “the **Mathematics** of uncertainty” is like saying “the chastity of sex” what is mathematized is no longer uncertain, and vice versa.

— Nassim Nicholas Taleb , The Bed of Procrustes: Philosophical and Practical Aphorisms (2010)

Theorems often tell us complex truths about the simple things, but only rarely tell us simple truths about the complex ones. To believe otherwise is wishful thinking or "**Mathematics** envy."

— Marvin Minsky, "Music, Mind, and Meaning" (1981)