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Quotations: Mathematics

I must study politics and war that my sons may have liberty to study mathematics and philosophy. My sons ought to study mathematics and philosophy, geography, natural history, naval architecture, navigation, commerce, and agriculture, in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry, and porcelain.
John Adams

Like the crest of a peacock so is mathematics at the head of all knowledge.
Anon

The mathematics are friends of religion, inasmuch as they charm the passions, restrain the impetuosity of imagination, and purge the mind from error and prejudice.
John Arbuthnot

The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.
Aristotle

If a man's wit be wandering, let him study the mathematics.
Francis Bacon

Mathematics are the most abstracted of knowledge.
Francis Bacon

For the things of this world cannot be made known without a knowledge of mathematics.
Roger Bacon

If a `religion' is defined to be a system of ideas that contains unprovable statements, then Godel taught us that mathematics is not only a religion, it is the only religion that can prove itself to be one.
John D. Barrow

Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week.
Eric Temple Bell

It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.
Eric Temple Bell

It is the merest truism, evident at once to unsophisticated observation, that mathematics is a human invention.
Percy W. Bridgman

If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.
Vannevar Bush

I advise my students to listen carefully the moment they decide to take no more mathematics courses. They might be able to hear the sound of closing doors. Everybody a mathematician?
James Caballero

As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
Arthur Cayley

Between the penis and the mathematical one . . . there exists nothing. Nothing! It is a vacuum.
Louis-Ferdinand Celine

To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls.
Pafnuty Lvovich Chebyshev

Mathematics may, be briefly defined as the science of quantities, and is one of the most important of disciplining studies which engage the practical student.
Rufus Choate

He that gives a portion of his time and talent to the investigation of mathematical truth will come to all other questions with a decided advantage.
Charles Caleb Colton

Mathematics is written for mathematicians.
Nicolaus Copernicus

Revolutions never occur in mathematics.
Michael Crowe

Mathematics seems to endow one with something like a new sense.
Charles Robert Darwin

One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.
Philip J. Davis

Mathematics is the only instructional material that can be presented in an entirely undogmatic way.
Max Wilhelm Dehn

With me everything turns into mathematics.
Rene Descartes

The mathematics is not there till we put it there.
Sir Arthur Eddington

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.
Albert Einstein

Pure mathematics is, in its way, the poetry of logical ideas.
Albert Einstein

Mathematics are well and good but nature keeps dragging us around by the nose.
Albert Einstein

Do not worry about your problems with mathematics, I assure you mine are far greater.
Albert Einstein

I don't believe in mathematics.
Albert Einstein

By keenly confronting the enigmas that surround us, and by considering and analysing the observations that I have made, I ended up in the domain of mathematics, Although I am absolutely without training in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists.
M. C. Escher

Mathematics is the language in which God has written the universe.
Galileo Galilee

Mathematics is the queen of the sciences.
Carl Friedrich Gauss

The essence of mathematics is not to make simple things complicated, but to make complicated things simple.
S. Gudder

Beauty is the first test; there is no permanent place in the world for ugly mathematics.
G.H. Hardy

Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.
Stephen Hawking

Mathematics has given economics rigor, but alas, also mortis.
Robert Heilbroner

All the limitative Theorems of metamathematics and the theory of computation suggest that once the ability to represent your own structure has reached a certain critical point, that is the kiss of death: it guarantees that you can never represent yourself totally. Godel's Incompleteness Theorem, Church's Undecidability Theorem, Turing's Halting Problem, Turski's Truth Theorem-- all have the flavour of some ancient fairy tale which warns you that To seek self- knowledge is to embark on a journey which . . . will always be incomplete, cannot be charted on a map, will never halt, cannot be described.
Douglas R. Hofstadter

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 or chemistry.
H. L. Mencken

In mathematics you don't understand things. You just get used to them.
Johann von Neumann

Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.
Friedrich Nietzsche

The highest form of pure thought is in mathematics
Plato

Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture.
Bertrand Russell

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
Bertrand Russell

The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.
Bertrand Russell

Mathematics is the only science where one never knows what one is talking about nor whether what is said is true
Bertrand Russell

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

How could youths better learn to live than by once trying the experiment of living? Methinks this would educate their minds as much as mathematics
Henry David Thoreau

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