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Nebeuts, E. Kim To state a theorem and then to show examples of it is literally to teach backwards. In H. Eves Return to Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1988.
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Neumann, Franz Ernst (1798 – 1895) The greatest reward lies in making the discovery; recognition can add little or nothing to that.
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Newman, James R. Games are among the most interesting creations of the human mind, and the analysis of their structure is full of adventure and surprises. Unfortunately there is never a lack of mathematicians for the job of transforming delectable ingredients into a dish that tastes like a damp blanket. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Newman, James R. It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Newman, James R. Mathematical economics is old enough to be respectable, but not all economists respect it. It has powerful supporters and impressive testimonials, yet many capable economists deny that mathematics, except as a shorthand or expository device, can be applied to economic reasoning. There have even been rumors that mathematics is used in economics (and in other social sciences) either for the deliberate purpose of mystification or to confer dignity upon common places as French was once used in diplomatic communications. In J. R. Newman (ed.) The World of Mathematics, New Yorl: Simon and Schuster, 1956.
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Newman, James R. The most painful thing about mathematics is how far away you are from being able to use it after you have learned it. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Newman, James R. The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Newman, James R. To be sure, mathematics can be extended to any branch of knowledge, including economics, provided the concepts are so clearly defined as to permit accurate symbolic representation. That is only another way of saying that in some branches of discourse it is desirable to know what you are talking about. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Newman, James, R. The discovery in 1846 of the planet Neptune was a dramatic and spectacular achievement of mathematical astronomy. The very existence of this new member of the solar system, and its exact location, were demonstrated with pencil and paper; there was left to observers only the routine task of pointing their telescopes at the spot the mathematicians had marked. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Newton, Isaac (1642-1727) To explain all nature is too difficult a task for any one man or even for any one age. `Tis much better to do a little with certainty, and leave the rest for others hat come after you, than to explain all things. In G. Simmons Calculus Gems, New York: McGraw Hill Inc., 1992.
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Nightingale, Florence (1820-1910) [Of her:] Her statistics were more than a study, they were indeed her religion. For her Quetelet was the hero as scientist, and the presentation copy of his Physique sociale is annotated by her on every page. Florence Nightingale believed — and in all the actions of her life acted upon that belief — that the administrator could only be successful if he were guided by statistical knowledge. The legislator — to say nothing of the politician — too often failed for want of this knowledge. Nay, she went further; she held that the universe — including human communities — was evolving in accordance with a divine plan; that it was man’s business to endeavor to understand this plan and guide his actions in sympathy with it. But to understand God’s thoughts, she held we must study statistics, for these are the measure of His purpose. Thus the study of statistics was for her a religious duty. K. Pearson The Life, Letters and Labours for Francis Galton, v
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Numbers are the highest degree of knowledge. It is knowledge itself.- Plato
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Oakley, C.O. The study of mathematics cannot be replaced by any other activity that will train and develop man’s purely logical faculties to the same level of rationality. The American Mathematical Monthly, 56, 1949, p19.
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Obvious is the most dangerous word in mathematics.- E.T. Bell
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Ogyu, Sorai (1666 – 1729) Mathematicians boast of their exacting achievements, but in reality they are absorbed in mental acrobatics and contribute nothing to society. Complete Works on Japan’s Philosophical Thought. 1956.
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One person’s constant is another person’s variable.- Susan Gerhart
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Oppenheimer, Julius Robert (1904 – 1967) Today, it is not only that our kings do not know mathematics, but our philosophers do not know mathematics and — to go a step further — our mathematicians do not know mathematics. ‘The Tree of Knowledge’ in Harper’s, 217, 1958.
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Osgood, W. F. The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word. In N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.
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Pascal, Blaise (1623-1662) Words differently arranged have a different meaning and meanings differently arranged have a different effect. W. H. Auden and L. Kronenberger (eds.) The Viking Book of Aphorisms, New York: Viking Press, 1966.
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Passano, L.M. This trend [emphasizing applied mathematics over pure mathematics] will make the queen of the sciences into the quean of the sciences. In H. Eves Mathematical Circles Squared, Boston: Prindle, Weber and Schmidt, 1972.
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