Mathematical Quotes
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The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were it to vanish from being. Mathematical propositions, if true, are eternal verities.
Cassius Jackson Keyser
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We're looking at a quandary here where Bernie's Sanders the winner on a moral and even a political basis. He's made history, and she's the winner on the mathematical basis.
Tom Hayden
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In short, I do not write for mathematicians, nor as a mathematician, but as an economist wishing to convince other economists that their science can only be satisfactorily treated on an explicitly mathematical basis.
William Stanley Jevons
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More than sixty years ago, mathematical logicians, by defining precisely the concept of an algorithm, gave content to the ancient human idea of an effective calculation. Their definitions led to the creation of the digital computer, an interesting example of thought bending matter to its ends.
Interesting Computer Ancient Creation Mathematical Sixty Algorithms Bending Defining Definitions Digital Ends Example Humans Ideas Matter Years Calculations Concepts Years Ago
David Berlinski
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Requirements in mathematical language are no use unless they are easier to read than the code.
David Parnas
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The stone that Dr. Johnson once kicked to demonstrate the reality of matter has become dissipated in a diffuse distribution of mathematical probabilities. The ladder that Descartes, Galileo, Newton, and Leibniz erected in order to scale the heavens rests upon a continually shifting, unstable foundation.
Morris Kline
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Any schemes - such as 'think of symmetry laws', or 'put the information in mathematical form', or 'guess equations'- are known to everybody now, and they are all tried all the time. When you are stuck, the answer cannot be one of these, because you will have tried these right away...The next scheme, the new discovery, is going to be made in a completely different way.
Richard Feynman
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A physical law must possess mathematical beauty.
Paul Dirac
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Mathematical knowledge is unlike any other knowledge. While our perception of the physical world can always be distorted, our perception of mathematical truths can’t be. They are objective, persistent, necessary truths. A mathematical formula or theorem means the same thing to anyone anywhere – no matter what gender, religion, or skin color; it will mean the same thing to anyone a thousand years from now. And what’s also amazing is that we own all of them. No one can patent a mathematical formula, it’s ours to share. There is nothing in this world that is so deep and exquisite and yet so readily available to all. That such a reservoir of knowledge really exists is nearly unbelievable. It’s too precious to be given away to the “initiated few.” It belongs to all of us.
Edward Frenkel
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Cyberspace is the human transition into a mathematical super space where we as a collectivity become optionally a single point of view.
Terence McKenna
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The difference is that we have the hardest and most painful evidence that there was a Holocaust. But, for the global warming scenario that is causing such hysteria, we have only a movie made by a politician and mathematical models whose results change drastically when you change a few of the arbitrarily selected variables.
Thomas Sowell
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I regard it as an inelegance, or imperfection, in quaternions, or rather in the state to which it has been hitherto unfolded, whenever it becomes or seems to become necessary to have recourse to x, y, z, etc.
William Rowan Hamilton
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It is clear that economics, if it is to be a science at all, must be a mathematical science.
William Stanley Jevons
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Photography does not form a separate, barren field of art. It is only a means of execution, uniform, rapid and sure, which serves the artist by reproducing with mathematical precision the form and effect of objects and even that poetry which at once arises from any harmonious combination.
Charles Negre
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The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them as things at all, and as such things. The mathematical is this fundamental position we take toward things by which we take up things as already given to us, and as they must and should be given. Therefore, the mathematical is the fundamental presupposition of the knowledge of things.
Martin Heidegger
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Time is said to have only one dimension, and space to have three dimensions. ... The mathematical quaternion partakes of both these elements; in technical language it may be said to be 'time plus space', or 'space plus time': and in this sense it has, or at least involves a reference to, four dimensions. And how the One of Time, of Space the Three, Might in the Chain of Symbols girdled be.
William Rowan Hamilton