Mathematics Quotes
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It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.
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... we should not be disappointed that everyday language does not work any longer at the apex of our little theory. It is natural; like poetry, the very reason for the existence of mathematics is that it expresses thoughts and feelings which we cannot express in mundane everyday language.
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Where there is no mathematics, there is no freedom.
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As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas from other contexts, so as to develop a sense of the structure, not just familiarity with a particular tour through the structure.
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The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.
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Its very nature, scientific investigation takes for granted such assumptions as that: there is a physical world existing independently of our minds; this world is characterized by various objective patterns and regularities; our senses are at least partially reliable sources of information about this world; there are objective laws of logic and mathematics that apply to the objective world outside our minds;
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Let no one ignorant of Mathematics enter here.
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A PhD in Mathematics is three years of guessing it wrong, plus one week of getting it right and writing a dissertation.
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Before a kid learns how to use a computer that can solve mathematical problems, he or she should know how to do arithmetic without a computer.
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We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
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. . . She knew only that if she did or said thus-and-so, men would unerringly respond with the complimentary thus-and-so. It was like a mathematical formula and no more difficult, for mathematics was the one subject that had come easy to Scarlett in her schooldays.
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Chess is not Mathematics, where ten is always more than one; in chess the King with a pawn can beat opponent's King with all pieces if they are placed badly.
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I tell you that studying humanities in high school is more important than mathematics - mathematics is too sharp an instrument, no good for kids.
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If you refuse to study anatomy, the arts of drawing and perspective, the mathematics of aesthetics, and the science of color, let me tell you that this is more a sign of laziness than of genius.
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Through music you can become sad, joyful, loving, you can learn. You can learn mathematics, touch, pacing... Oh my God! Ooh... Wow... You can see colors through music. Anything!
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.
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I have written a book called 'In the Wonderland of Numbers.' It's about a young girl, Neha, who is very poor in mathematics, but in a series of illusory experiences, she becomes a great mathematician.
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Srinivasa Ramanujan was the strangest man in all of mathematics, probably in the entire history of science. He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis at the age of 33, like Riemann before him. Working in total isolation from the main currents of his field, he was able to rederive 100 years' worth of Western mathematics on his own. The tragedy of his life is that much of his work was wasted rediscovering known mathematics.
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... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.
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We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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I shall here present the view that numbers, even whole numbers, are words, parts of speech, and that mathematics is their grammar. Numbers were therefore invented by people in the same sense that language, both written and spoken, was invented. Grammar is also an invention. Words and numbers have no existence separate from the people who use them. Knowledge of mathematics is transmitted from one generation to another, and it changes in the same slow way that language changes. Continuity is provided by the process of oral or written transmission.
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Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes.
