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Bourbaki Structures are the weapons of the mathematician.
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Bridgman, P. W. It is the merest truism, evident at once to unsophisticated observation, that mathematics is a human invention. The Logic of Modern Physics, New York, 1972.
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Brown, George Spencer (1923 – ) To arrive at the simplest truth, as Newton knew and practiced, requires years of contemplation. Not activity Not reasoning. Not calculating. Not busy behaviour of any kind. Not reading. Not talking. Not making an effort. Not thinking. Simply bearing in mind what it is one needs to know. And yet those with the courage to tread this path to real discovery are not only offered practically no guidance on how to do so, they are actively discouraged and have to set abut it in secret, pretending meanwhile to be diligently engaged in the frantic diversions and to conform with the deadening personal opinions which are continually being thrust upon them. The Laws of Form. 1969.
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Browne, Sir Thomas (1605-1682) God is like a skilful Geometrician. Religio Medici I, 16.
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Buck, Pearl S. (1892 – 1973) No one really understood music unless he was a scientist, her father had declared, and not just a scientist, either, oh, no, only the real ones, the theoreticians, whose language mathematics. She had not understood mathematics until he had explained to her that it was the symbolic language of relationships. ‘And relationships,’ he had told her, ‘contained the essential meaning of life.’ The Goddess Abides, Pt. I, 1972.
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Burke, Edmund The age of chivalry is gone. That of sophisters, economists and calculators has succeeded. Reflections on the Revolution in France.
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But in the new (math) approach, the important thing is to understand what you’re doing, rather than to get the right answer.- Tom Lehrer
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Butler, Bishop To us probability is the very guide of life. Preface to Analogy.
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Butler, Samuel (1612 – 1680) … There can be no doubt about faith and not reason being the ultima ratio. Even Euclid, who has laid himself as little open to the charge of credulity as any writer who ever lived, cannot get beyond this. He has no demonstrable first premise. He requires postulates and axioms which transcend demonstration, and without which he can do nothing. His superstructure indeed is demonstration, but his ground his faith. Nor again can he get further than telling a man he is a fool if he persists in differing from him. He says ‘which is absurd,’ and declines to discuss the matter further. Faith and authority, therefore, prove to be as necessary for him as for anyone else. The Way of All Flesh.
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Byron When Newton saw an apple fall, he found … A mode of proving that the earth turnd round In a most natural whirl, called gravitation; And thus is the sole mortal who could grapple Since Adam, with a fall or with an apple.
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Caballero, James
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C’anne, Paul (1839 – 1906) …treat Nature by the sphere, the cylinder and the cone…
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Cardano, Girolamo (1501 – 1576) To throw in a fair game at Hazards only three-spots, when something great is at stake, or some business is the hazard, is a natural occurrence and deserves to be so deemed; and even when they come up the same way for a second time if the throw be repeated. If the third and fourth plays are the same, surely there is occasion for suspicion on the part of a prudent man. De Vita Propria Liber.
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Carlyle, Thomas (1795 – 1881) It is a mathematical fact that the casting of this pebble from my hand alters the centre of gravity of the universe. Sartor Resartus III.
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Carlyle, Thomas (1795-1881) Teaching school is but another word for sure and not very slow destruction. In H. Eves In Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1969.
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Carmichael, R. D. A thing is obvious mathematically after you see it. In N. Rose (ed.) Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.
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Carroll, Lewis ‘Can you do addition?’ the White Queen asked. ‘What’s one and one and one and one and one and one and one and one and one and one?’ ‘I don’t know,’ said Alice. ‘I lost count.’ Through the Looking Glass.
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Carroll, Lewis ‘It’s very good jam,’ said the Queen. ‘Well, I don’t want any to-day, at any rate.’ ‘You couldn’t have it if you did want it,’ the Queen said. ‘The rule is jam tomorrow and jam yesterday but never jam to-day.’ ‘It must come sometimes to ‘jam to-day,”Alice objected. ‘No it can’t,’ said the Queen. ‘It’s jam every other day; to-day isn’t any other day, you know.’ ‘I don’t understand you,’ said Alice. ‘It’s dreadfully confusing.’ Through the Looking Glass.
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Carroll, Lewis The different branches of Arithmetic — Ambition, Distraction, Uglification, and Derision. Alice in Wonderland.
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Carroll, Lewis ‘Then you should say what you mean,’ the March Hare went on. ‘I do, ‘ Alice hastily replied; ‘at least I mean what I say, that’s the same thing, you know.’ ‘Not the same thing a bit!’ said the Hatter. ‘Why, you might just as well say that ‘I see what I eat’ is the same thing as ‘I eat what I see!’ Alice in Wonderland.
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