For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?
quote by Richard Courant
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May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
quote by James Joseph Sylvester
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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.
quote by John Adams
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Mathematics is the most powerful tool that people have developed to investigate the world around us. But it is taught so that students do not realize this. The language of mathematics is able to describe objects, structures, properties and relationships in an unambiguous way. In this context we talk about the power of the "descriptive" of mathematics. In this way, people were able to formulate and express such assertions accurate and unambiguous knowledge.
quote by Juraj Hromkovic, translated by Marin Vlada
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Life is good for only two things, discovering mathematics and teaching mathematics.
quote by Simeon Poisson
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I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto.
quote by Walter Kohn
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Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
quote by David Hilbert
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It is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
quote by Albert Einstein
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We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
quote by Whitfield Diffie
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Mathematics is the future Latin language, mandatory for all scientists, just because mathematics allows maximum acceleration of scientific circulation.
aphorism by Grigore Moisil (1970), translated by Marin Vlada
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Mathematics is a vast adventure in ideas; its history reflects some of the noblest thoughts of countless generations.
Dirk Struik in A Concise History of Mathematics
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The Delights of Mathematics
It seems a hundred years or more
Since I, with note-book, ink and pen,
In cap and gown, first trod the floor
Which I have often trod since then;
Yet well do I remember when
With fifty other fond fanatics,
I sought delights beyond my ken,
The deep delights of Mathematics.
I knew that two and two made four,
I felt that five times two were ten,
But, as for all profounder lore,
The robin redbreast or the wren,
The sparrow, whether cock or hen,
Knew quite as much about Quadratics,
Was less confused by x and n,
The deep delights of Mathematics.
The Asses' Bridge I passed not o'er,
I floundered in the noisome fen
Which lies behind it and before;
I wandered in the gloomy glen
Where Surds and Factors have their den.
But when I saw the pit of Statics,
I said Good-bye, Farewell, Amen!
The deep delights of Mathematics.
O Bejants! blessed, beardless men,
Who strive with Euclid in your attics,
For worlds I would not taste again
The deep delights of Mathematics.
poem by Robert Fuller Murray
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All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
quote by Roger Bacon
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The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.
quote by Edsger Dijkstra
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Mathematics is the queen of sciences and number theory is the queen of mathematics.
quote by Carl Friedrich Gauss
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May not Music be described as the Mathematics of sense, and Mathematics as the Music of reason?
quote by James Joseph Sylvester
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Do not worry about your problems in mathematics. I assure you, my problems with mathematics are much greater than yours.
quote by Albert Einstein
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The mathematics is not there till we put it there.
Arthur Eddington in The Philosophy of Physical Science
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I went to Princeton from Amherst, where I split my interests between mathematics and philosophy.
quote by Stephen Cole Kleene
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I had a liberal arts education at Amherst College where I had two majors, mathematics and philosophy.
quote by Stephen Cole Kleene
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We do not learn by inference and deduction and the application of mathematics to philosophy, but by direct intercourse and sympathy.
quote by Henry David Thoreau
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