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American Mathematician Quotes
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It is now natural for us to try to derive the laws of nature and to test their validity by means of the laws of invariance, rather than to derive the laws of invariance from what we believe to be the laws of nature.
Eugene Wigner
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If all the theories pertinent to systems engineering could be discussed within a common framework by means of a standard set of nomenclature and definitions, many separate courses might not be required.
A. Wayne Wymore
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Molecular dynamics is not primarily about making movies of molecules. More often it is about developing quantitative predictions of molecular size and shape, flexibilities, interactions with other molecules, behavior under pressure, and the relative frequency of one state or conformation compared to another.
Ben Leimkuhler
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In the history of the concept of number, number has been adjective (three cows, three monads) and noun (three, pure and simple), and now.... number seems to be more like a verb (to triple).
Barry Mazur
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Mathematics is an aspect of culture as well as a collection of algorithms.
Carl B. Boyer
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By slow degrees, the minds of men were cut adrift from their old scholastic moorings and sent forth on the wide sea of scientific inquiry, to discover new islands and continents of truth.
Florian Cajori
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The importance of infinite processes for the practical exigencies of technical life can hardly be overemphasized. Practically all applications of arithmetic to geometry, mechanics, physics and even statistics involve these processes directly and indirectly.
Tobias Dantzig
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Predictability: Does the flap of a butterfly's wings in Brazil set off a tornado in Texas?
Edward Norton Lorenz
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Mathematics must take its motivation from concrete specific substance and aim again at some layer of "reality." The flight into abstraction must be something more than a mere escape; start from the ground and reentry are both indispensable, even if the same pilot cannot handle all phases of the trajectory.
Richard Courant
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Mathematics is not the discoverer of laws, for it is not induction; neither is it the framer of theories, for it is not hypothesis; but it is the judge over both, and it is the arbiter to which each must refer its claims; and neither law can rule nor theory explain without the sanction of mathematics.
Benjamin Peirce
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In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects with reproducible properties is called mathematics.
Philip J. Davis
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Lately there have been complaints that the use of the magnitude scale is confusing, or at least the reporting of magnitudes in the newspapers 'confuses the public.
Charles Francis Richter
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We lay down a fundamental principle of generalization by abstraction: The existence of analogies between central features of various theories implies the existence of a general theory which underlies the particular theories and unifies them with respect to those central features.
E. H. Moore
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It is to the definite integral that structural engineers must render thanks for the Golden Gate Bridge, for it rests on this even more than on concrete and steel.
James Roy Newman
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The great problem of the day is, how to subject all physical phenomena to dynamical laws. With all the experimental devices, and all the mathematical appliances of this generation, the human mind has been baffled in its attempts to construct a universal science of physics.
Joseph Lovering
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Science provides the understanding of the universe in which we live. Mathematics provides the dies by which science is molded. Our world is to a large extent what mathematics says it is.
Morris Kline
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Whenever I meet in Laplace with the words 'Thus it plainly appears', I am sure that hours and perhaps days, of hard study will alone enable me to discover how it plainly appears.
Nathaniel Bowditch
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What you do on a dinosaur expedition is you hike and look at the ground. You find bones sticking out of the dirt and, once you see something, you dig.
Nathan Myhrvold
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George Boole took up Leibniz's idea, and wrote a book he called The Laws of Thought. The laws he formulated are now called Boolean algebra... Boole seems to have had a grandiose vision about the applicability of his algebraic methods to practical problems—his book makes it clear that he hoped these laws would be used to settle practical questions. William Stanley Jevons heard of Boole's work, and undertook to build a machine to make calculations in Boolean algebra. He successfully designed and built... the Logical Piano... the first machine to do mechanical inference.
Michael J. Beeson
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Mathematics directs the flow of the universe, lurks behind its shapes and curves, holds the reins of everything from tiny atoms to the biggest stars.
Edward Frenkel
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Logic has virtually nothing to do with the way we think.
David Mumford
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The triplet of specifications - the product-market scope, the growth vector and the competitive advantage - describes the firm's product-market path in the external environment.
Igor Ansoff
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[The George E. P. Box paper Fitting empirical data (1960) is] a mature exposition of an important branch of statistics, to which the author has made great contributions. One feature of particular interest is practical discussion of genuinely nonlinear fitting problems and their solution with the help of tact and a special, publicly available, IBM-704 program. Another is insightful comments on the role of prior distributions in statistics.
Leonard Jimmie Savage
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Moreover, broad plans commensurate with our national purpose and resources would bring conviction of our power to every soldier in the front line, to the nations associated with us in the war, and to the enemy.
Kelly Miller (scientist)
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And I'm a stodgy old scientist who believes, naively, that there exists an external world, that there exist objective truths about that world, and that my job is to discover some of them.
Alan Sokal
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