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Mathematics Quotes

Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this i...

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PHI is one H of a lot cooler than PI!

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Dan BrownThe Da Vinci Code

The problem is that no ethical system has ever achieved consensus. Ethical systems are completely un...

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What would it be like, a world without snow? I cannot imagine such a place. It would be like a world...

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...I guess I can put two and two together.""Sometimes the answer's four," I said, "and sometimes it'...

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The art of doing mathematics consists in finding that special case which contains all the germs of g...

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Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic...

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Numbers written on restaurant bills within the confines of restaurants do not follow the same mathem...

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I hate math. It's hard, it's stupid, and it's nature's way of separating spinsters from women who en...

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Douglas CouplandHighly Inappropriate Tales for Young People

Science attempts to find logic and simplicity in nature. Mathematics attempts to establish order and...

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Business, to be successful, must be based on science, for demand and supply are matters of mathemati...

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The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is...

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I think a strong claim can be made that the process of scientific discovery may be regarded as a for...

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A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the...

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Do not try the parallels in that way: I know that way all along. I have measured that bottomless nig...

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When the time is ripe for certain things, these things appear in different places in the manner of v...

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The mathematical giant [Gauss], who from his lofty heights embraces in one view the stars and the ab...

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Please give it up. Fear it no less than the sensual passion, because it, too, may take up all your t...

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In real life, I assure you, there is no such thing as algebra.

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

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

If in other sciences we should arrive at certainty without doubt and truth without error, it behoove...

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Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, gra...

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Picture of Francis Bacon
Francis BaconThe Collected Works of Sir Francis Bacon

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

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

If in other sciences we should arrive at certainty without doubt and truth without error, it behoove...

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Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, gra...

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Picture of Francis Bacon
Francis BaconThe Collected Works of Sir Francis Bacon

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

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

If in other sciences we should arrive at certainty without doubt and truth without error, it behoove...

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Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, gra...

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Picture of Francis Bacon (artist)
Francis Bacon (artist)The Collected Works of Sir Francis Bacon

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

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

If in other sciences we should arrive at certainty without doubt and truth without error, it behoove...

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Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, gra...

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Francis Bacon (artist)The Collected Works of Sir Francis Bacon

Schools were started to train human talents... The Guild... emphasizes almost pure mathematics. Bene...

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...in pure mathematics the mind deal only with its own creations and imaginations. The concepts of n...

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Friedrich EngelsAnti-Duhring: Herr Eugen Duhring's Revolution in Science

The best mathematics is serious as well as beautiful—‘important’ if you like, but the word is very a...

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The physical method becomes a philosophy when it asserts there is no higher knowledge than the empir...

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...317 is a prime, not because we think so, or because our minds are shaped in one way rather than a...

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Beauty is the first test: there is no permanent place in the world for ugly mathematics.

It (proof by contradiction) is a far finer gambit than any chess gambit: a chess player may offer th...

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The ‘seriousness’ of a mathematical theorem lies, not in its practical consequences, which are usual...

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[I was advised] to read Jordan's 'Cours d'analyse'; and I shall never forget the astonishment with w...

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Real mathematics must be justified as art if it can be justified at all.

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G. H. HardyA Mathematician's Apology

I believe that mathematical reality lies outside us, that our function is to discover or observe it,...

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The mathematician’s patterns, like the painter’s or the poet’s must be beautiful; the ideas like the...

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G. H. HardyA Mathematician's Apology

[Regarding mathematics,] there are now few studies more generally recognized, for good reasons or ba...

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In these days of conflict between ancient and modern studies, there must surely be something to be s...

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Picture of G. H. Hardy
G. H. HardyA Mathematician's Apology

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical id...

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Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; an...

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It seems that mathematical ideas are arranged somehow in strata, the ideas in each stratum being lin...

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G. H. HardyA Mathematician's Apology

The geometer offers to the physicist a whole set of maps from which to choose. One map, perhaps, wil...

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The play is independent of the pages on which it is printed, and ‘pure geometries’ are independent o...

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Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is ...

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Music at times is more like perfume than mathematics.

But however measurable, there is much more life in music than mathematics or logic ever dreamed of.

And, believe me, if I were again beginning my studies, I should follow the advice of Plato and start...

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If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.

The essence of mathematics lies in its freedom.

In mathematics the art of proposing a question must be held of higher value than solving it.

My beautiful proof lies all in ruins.

In Mathematics the art of proposing a question must be held of higher value than solving it.

The calculative exactness of practical life which the money economy has brought about corresponds to...

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Georg SimmelThe Sociology of Georg Simmel

A distinguished writer [Siméon Denis Poisson] has thus stated the fundamental definitions of the sci...

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Picture of George Boole
George BooleAn Investigation of the Laws of Thought

There was yet another disadvantage attaching to the whole of Newton’s physical inquiries, ... the wa...

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Essentially, all models are wrong, but some are useful

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George E. P. BoxEmpirical Model-Building and Response Surfaces

One of the first and foremost duties of the teacher is not to give his students the impression that ...

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Picture of George Pólya
George PólyaHow to Solve It: A New Aspect of Mathematical Method

Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive ...

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There was a seminar for advanced students in Zürich that I was teaching and von Neumann was in the c...

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I started studying law, but this I could stand just for one semester. I couldn't stand more. Then I ...

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The elegance of a mathematical theorem is directly proportional to the number of independent ideas o...

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George PólyaMathematical Discovery on Understanding

Questions that pertain to the foundations of mathematics, although treated by many in recent times, ...

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What is it, in fact, that we are supposed to abstract from, in order to get, for example, from the m...

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The truth, he thought, has never been of any real value to any human being- it is a symbol for mathe...

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The new mathematics is a sort of supplement to language, affording a means of thought about form and...

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A certain elementary training in statistical method is becoming as necessary for everyone living in ...

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It appears that the solution of the problem of time and space is reserved to philosophers who, like ...

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Of course, reading novels was just another form of escape. As soon as he closed their pages he had t...

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Tengo's lectures took on uncommon warmth, and the students found themselves swept up in his eloquenc...

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As a teacher, Tengo pounded into his students' heads how voraciously mathematics demanded logic. Her...

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Physicists believe that the Gaussian law has been proved in mathematics while mathematicians think t...

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Mathematics is the art of giving the same name to different things.

How is it that there are so many minds that are incapable of understanding mathematics? ... the skel...

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If we wish to foresee the future of mathematics, our proper course is to study the history and prese...

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The philosophers make still another objection: "What you gain in rigour," they say, "you lose in obj...

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Pure analysis puts at our disposal a multitude of procedures whose infallibility it guarantees; it o...

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With mathematics we stand precisely at that intersection of bondage and freedom that is the essence ...

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Picture of Hermann Weyl
Hermann WeylLevels of Infinity: Selected Writings on Mathematics and Philosophy

Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.

Picture of Hermann Weyl
Hermann WeylLevels of Infinity: Selected Writings on Mathematics and Philosophy

So the mathematician and the artist are companioned in the same dark, and do obeisance to the same g...

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In every department of physical science there is only so much science, properly so-called, as there ...

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Mathematicians deal with large numbers sometimes, but never in their income.

Q. You do not consider your statement a disloyal one?A. No, sir. Scientific truth is beyond loyalty ...

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Mr Baley", said Quemot, "you can't treat human emotions as though they were built about a positronic...

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As the several items can be exchanged, they must be equal; but in what terms? Not in pounds, yards, ...

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Newton was asked as a mathematician, not as a moralist. He replied 'Gentlemen, in applied mathematic...

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Ideas that require people to reorganize their picture of the world provoke hostility.

The object of pure physics is the unfolding of the laws of the intelligible world the object of pure...

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May not music be described as the mathematics of the sense, mathematics as music of the reason? The ...

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