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Thread: Math Quotes

  1. #131
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    Re: Math Quotes

    Gardner, Martin

    Mathematics is not only real, but it is the only reality. That is that entire universe is made of matter, obviously. And matter is made of particles. It's made of electrons and neutrons and protons. So the entire universe is made out of particles. Now what are the particles made out of? They're not made out of anything. The only thing you can say about the reality of an electron is to cite its mathematical properties. So there's a sense in which matter has completely dissolved and what is left is just a mathematical structure.

    Gardner on Gardner: JPBM Communications Award Presentation. Focus-The Newsletter of the Mathematical Association of America v. 14, no. 6, December 1994.


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    Re: Math Quotes

    Karl Friedrich

    (1777-1855)


    There are problems to whose solution I would attach an
    infinitely greater importance than to those of mathematics,
    for example touching ethics, or our relation to God,
    or concerning our destiny and our future; but their solution
    lies wholly beyond us and completely
    outside the province of science.


    In J. R. Newman (ed.) The World of Mathematics,
    New York: Simon and Schuster, 1956. p. 314.




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    Re: Math Quotes

    Gauss, Karl Friedrich
    (1777-1855)


    We must admit with humility that,
    while number is purely a product of our minds,
    space has a reality outside our minds,
    so that we cannot completely prescribe
    its properties a priori.


    Letter to Bessel, 1830.


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    Re: Math Quotes

    Gauss, Karl Friedrich
    (1777-1855)

    [attributed to him by H.B Lbsen]

    Theory attracts practice as the magnet attracts iron.

    Foreword of H.B Lbsen's geometry textbook


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    Re: Math Quotes

    Gauss, Karl Friedrich (1777-1855)

    "I am coming more and more
    to the conviction that the necessity
    of our geometry cannot be demonstrated,
    at least neither by, nor for, the human intellect...
    geometry should be ranked, not with arithmetic,
    which is purely aprioristic,
    but with mechanics."


    Quoted in J. Koenderink Solid Shape,
    Cambridge Mass.: MIT Press, 1990.



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    Re: Math Quotes

    Gibbs, Josiah Willard
    (1839-1903)


    Mathematics is a language.




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    Re: Math Quotes

    Abel, Niels H.
    (1802 - 1829)


    [A reply to a question about how he got his expertise:]
    By studying the masters and not their pupils.



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    Re: Math Quotes

    Adams, Douglas
    (1952 - 2001)


    Bistromathics itself is simply a revolutionary new way of understanding
    the behavior of numbers. Just as Einstein observed that space
    was not an absolute but depended on the observer's movement
    in space, and that time was not an absolute, but depended on the
    observer's movement in time, so it is now realized that numbers
    are not absolute, but depend on the observer's movement in
    restaurants.


    Life, the Universe and Everything.
    New York: Harmony Books, 1982.



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    Re: Math Quotes

    Aiken, Conrad
    [At a musical concert:]

    ...the music's pure algebra of enchantment.


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    Re: Math Quotes

    Anglin, W.S.

    Mathematics is not a careful march down a well-cleared
    highway, but a journey into a strange wilderness, where the explorers
    often get lost. Rigour should be a signal to the historian that the maps
    have been made, and the real explorers have gone elsewhere.

    "Mathematics and History",
    Mathematical Intelligencer, v. 4, no. 4.







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