Best 579 quotes in «mathematics quotes» category

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    There is a logic of language and a logic of mathematics.

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    There is an explicit way to define what explicit is.

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    There is an underlying timelessness in the basic conversation that is mathematics.

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    There is a very good saying that if triangles invented a god, they would make him three-sided.

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    There is more in Mersenne than in all the universities together.

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    There is no national science, just as there is no national multiplication table; what is national is no longer science.

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    There is no nature at an instant.

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    There is no problem that cannot be solved.

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    There is no significant difference between human activities and those by amoebas and even bacteria, well, on the GRAND SCALE.

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    There is no smallest among the small and no largest among the large, but always something still smaller and something still larger.

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    There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics.

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    There is nothing mysterious, as some have tried to maintain, about the applicability of mathematics. What we get by abstraction from something can be returned.

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    There is something in statistics that makes it very similar to astrology.

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    There is something inhuman and vaguely pornographic about statistics... Pornography, on the other hand, with its loosely bound sequences of storyless sexual couplings often has the feel of a statistical survey.

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    The science of mathematics performs more than it promises, but the science of metaphysics promises more than it performs.

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    The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.

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    The self is the resultant of the interest of the genes.

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    The student is best taught who is told the least

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    The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made.

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    The so-called mysteries of quantum mechanics are in its philosophical interpretation, not in its mathematics.

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    The standard model gives us an accuracy of ten decimal digits, this is an amazing success that has never been achieved before in science.

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    The subtleties of mathematics defecate the grossness of our apprehension, and supply the elements of a sounder and severer logic.

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    This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it.

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    The very term 'combinatorial methods' has an oxymoronic character.

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    The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.

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    The unreasonable efficiency of mathematics in science is a gift we neither understand nor deserve.

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    The world is continuous, but the mind is discrete.

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    This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous.

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    This method of deduction ... is often called "combinatory". Its usefulness is not exhausted at this stage, but it does even at the outset lead to some valuable conclusions.

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    This is not mathematics; this is theology.

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    To me, mathematics is like playing the violin. Some people can do it - others can't. If you don't have it, then there's no point in pretending.

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    To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about a collection of examples and the purpose of proving theorems is to classify and explain the examples.

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    This splendid subject [mathematics], queen of all exact sciences, and the ideal and norm of all careful thinking.

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    Thought, then, is the execution of this computer code.

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    To be successful, you should concentrate on the world of companies, not arcane accounting mathematics.

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    To speak algebraically, Mr. M. is execrable, but Mr. G. is (x + 1)- ecrable.

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    We know that nature is described by the best of all possible mathematics because God created it.

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    To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.

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    We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.

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    We know that nature is described by the best of all possible mathematics because God created it. So there is a chance that the best of all possible mathematics will be created out of physicists' attempts to describe nature.

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    Tout ce qu'on invente est vrai, soi-en sure. La poesie est une chose aussi precise que la geometrie.

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    We have heard much about the poetry of mathematics, but very little of it has yet been sung. The ancients had a juster notion of their poetic value than we.

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    We ourselves are co-called non-linear dynamical systems... I don't feel quite so pathetic when I interrupt a project to check on some obscure web site or newsgroup or derive an iota of cheer by getting rid of pocketful of change.

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    What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.

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    What has philosophy got to do with measuring anything? It's the mathematicians you have to trust, and they measure the skies like we measure a field.

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    What cannot be known is more revealing than what can.

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    What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.

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    What mathematics are to matter and force, occult science is to life and consciousness.

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    What Is Mathematics? This question, if asked in earnest, has no answer.

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    When I give this talk to a physics audience, I remove the quotes from my 'Theorem'.