Mathematics Quotes
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In mathematics I can report no deficiency, except it be that men do not sufficiently understand the excellent use of Pure Mathematics.
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There is an underlying timelessness in the basic conversation that is mathematics.
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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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Mathematics is not a spectator sport!
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I had made an empirical discovery and it carried all the weight of a mathematical proof.
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My interest in the sciences started with mathematics in the very beginning, and later with chemistry in early high school and the proverbial home chemistry set.
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The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter.
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Perhaps, a bigger point is that it is perfectly OK if something is unclear. That’s how I feel 90 percent of the time when I do mathematics, so welcome to my world! The feeling of confusion (even frustration, sometimes) is an essential part of being a mathematician. But look at the bright side: how boring would life be if everything in it could be understood with little effort! What makes doing mathematics so exciting is our desire to overcome this confusion; to understand; to lift the veil on the unknown. And the feeling of personal triumph when we do understand something makes it all worthwhile.
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The highest form of pure thought is in mathematics.
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It has been a fortunate fact in the modern history of physical science that the scientist constructing a new theoretical system has nearly always found that the mathematics. . . required. . . had already been worked out by pure mathematicians for their own amusement. . . . The moral for statesmen would seem to be that, for proper scientific "planning", pure mathematics should be endowed fifty years ahead of scientists.
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Everybody who reasons carefully about anything is making a contribution ... and if you abstract it away and send it to the Department of Mathematics they put it in books.
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Atheism is the opium of the mathematicians. Atheism is the religion of Mathematics.
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Though this be madness, yet there is method in't.
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Though a skilled mathematician, Alfred Marshall used mathematics sparingly. He saw that excessive reliance on this instrument might lead us astray in pursuit of intellectual toys, imaginary problems not conforming to the conditions of real life: and further, might distort our sense of proportion by causing us to neglect factors that could not easily be worked up in the mathematical machine.
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Perhaps the most surprising thing about mathematics is that it is so surprising. The rules which we make up at the beginning seem ordinary and inevitable, but it is impossible to foresee their consequences. These have only been found out by long study, extending over many centuries. Much of our knowledge is due to a comparatively few great mathematicians such as Newton, Euler, Gauss, or Riemann; few careers can have been more satisfying than theirs. They have contributed something to human thought even more lasting than great literature, since it is independent of language.
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Mathematics is concerned with "all possible worlds."
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It is given to us to live for the most part under the guidance of mathematics ... It is impossible to distinguish from other living creatures anyone who does not understand how to quantify.
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The indispensability argument says (roughly) that if you have ample reason to accept an empirical scientific theory that makes indispensable use of mathematics, and that theory entails that numbers exist, then you have ample reason to accept that numbers exist. The argument affirms the antecedent of this conditional, and concludes that you have ample reason to believe that numbers exist. What is striking about this argument is that it seems to show that the empirical reasons that suffice for accepting a scientific theory also suffice for accepting a metaphysical claim.
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On all levels primary, and secondary and undergraduate - mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.
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I would love to see music reinstated as an essential part of schooling. The culture that it brings; the knowledge that it brings. Just learning how to read music requires metrics, and I think that helps you with mathematics. A lot of scientists and doctors have a musical background - it's very interesting.
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There isn’t an education system on the planet that teaches dance everyday to children the way we teach them mathematics. Why?
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I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn about and gather together. Then there is a sort of inevitable development in those fields. You get to the point where a certain theorem is bound to be proved, independent of any particular individual, because it is just in the path of development.
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Being exposed to theory, stimulated by a basic love of concepts and mathematics, was a marvelous experience.
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Mathematics is often erroneously referred to as the science of common sense. Actually, it may transcend common sense and go beyond either imagination or intuition. It has become a very strange and perhaps frightening subject from the ordinary point of view, but anyone who penetrates into it will find a veritable fairyland, a fairyland which is strange, but makes sense, if not common sense.
