Mathematics Quotes - Page 33

• 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.

  James R Newman

  Math, Discovery, Achievement

  James R. Newman (2000). “The World of Mathematics”, p.820, Рипол Классик

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• Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.

  Marston Morse

  Play, Design, Important

  Marston Morse, Raoul Bott (1981). “Selected papers”, Springer Verlag

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• The numbers are a catalyst that can help turn raving madmen into polite humans.

  Philip J. Davis

  Math, Numbers, Helping

  Philip J. Davis, William G. Chinn (1985). “3.1416 and all that”, Birkhauser

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• Blindness to the aesthetic element in mathematics is widespread and can account for a feeling that mathematics is dry as dust, as exciting as a telephone book... Contrariwise, appreciation of this element makes the subject live in a wonderful manner and burn as no other creation of the human mind seems to do.

  Philip J. Davis

  Appreciation, Book, Dust

  Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto (1995). “The Mathematical Experience: Study Edition”, p.185, Springer Science & Business Media

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• Music is a science which should have definite rules; these rules should be drawn from an evident principle; and this principle cannot really be known to us without the aid of mathematics.

  Jean-Philippe Rameau

  Should Have, Principles, Aids

  Jean-Philippe Rameau (1971). “Traite de l'harmonie reduites a ses principes naturels”, p.35, Courier Corporation

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• There cannot be a language more universal and more simple, more free from errors and obscurities...more worthy to express the invariable relations of all natural things [than mathematics]. [It interprets] all phenomena by the same language, as if to attest the unity and simplicity of the plan of the universe, and to make still more evident that unchangeable order which presides over all natural causes

  Joseph Fourier

  Simple, Errors, Order

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• The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.

  Gottfried Leibniz

  Music, Beauty, Art

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• The measure of our intellectual capacity is the capacity to feel less and less satisfied with our answers to better and better problems.

  C. West Churchman

  Math, Intellectual, Answers

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• Perfect clarity would profit the intellect but damage the will.

  Blaise Pascal

  Math, Perfect, Damage

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• Statistics: the mathematical theory of ignorance.

  Morris Kline

  Ignorance, Math, Statistics

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• Just as music comes alive in the performance of it, the same is true of mathematics. The symbols on the page have no more to do with mathematics than the notes on a page of music. They simply represent the experience.

  Keith Devlin

  Math, Alive, Pages

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• Mathematics is the gate and key to science.

  Roger Bacon

  Math, Keys, Gates

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• How happy the lot of the mathematician. He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve.

  W. H. Auden

  Happiness, Math, Science

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• A mathematician's reputation rests on the number of bad proofs he has given.

  Abram Samoilovitch Besicovitch

  Math, Numbers, Reputation

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• Mathematics - this may surprise or shock some - is never deductive in creation.

  Paul Halmos

  Education, Knowledge, Math

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• Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

  Morris Kline

  Education, Knowledge, Math

  Morris Kline (1964). “Mathematics in Western Culture”, p.408, Oxford University Press

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• Mathematics is a body of knowledge, but it contains no truths.

  Morris Kline

  Knowledge, Math, Body

  Morris Kline (1964). “Mathematics in Western Culture”, p.9, Oxford University Press

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• Proof is an idol before which the mathematician tortures himself.

  Arthur Eddington

  Education, Knowledge, Math

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• The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

  Paul Halmos

  Education, Knowledge, Math

  P.R. Halmos, Paul Richard Halmos (1982). “A Hilbert Space Problem Book”, p.7, Springer Science & Business Media

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• Calculators can only calculate - they cannot do mathematics.

  John A. Van de Walle

  Education, Knowledge, Math

  John A. Van de Walle (1994). “Elementary School Mathematics: Teaching Developmentally”, Longman Publishing Group

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• Logic doesn't apply to the real world.

  Marvin Minsky

  Real, Knowledge, Math

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• We are all concerned about the future of American education. But as I tell my students, you do not enter the future - you create the future. The future is created through hard work.

  Jaime Escalante

  Education, Hard Work, Knowledge

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• Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the problems of life.

  Cassius Jackson Keyser

  Education, Science, World

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• The linear-programming was - and is - perhaps the single most important real-life problem.

  Keith Devlin

  Education, Real, Science

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• One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination.

  Freeman Dyson

  Education, Science, Imagination

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