Stefan Banach Quotes
Good mathematicians see analogies. Great mathematicians see analogies between analogies.
Quotes to Explore
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I often make the analogy with tennis. Every match the rules are the same, but no game is ever the same. Theatre is like that. Every time is different.
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An artist has to train his responses more than other people do. He has to be as disciplined as a mathematician. Discipline is not a restriction but an aid to freedom. It prepares an artist to choose his own limitations.
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Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.
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Life is like a box of terrible analogies...
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I myself, a professional mathematician, on re-reading my own work find it strains my mental powers to recall to mind from the figures the meanings of the demonstrations, meanings which I myself originally put into the figures and the text from my mind. But when I attempt to remedy the obscurity of the material by putting in extra words, I see myself falling into the opposite fault of becoming chatty in something mathematical.
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The Internet gives you access to a lot of material, and it's fun to sit and read. I go to something like Wikipedia and look at different topics... I find the subject fascinating. I like to read about concepts and mathematicians.
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A mathematician of the first rank, Laplace quickly revealed himself as only a mediocre administrator; from his first work we saw that we had been deceived. Laplace saw no question from its true point of view; he sought subtleties everywhere; had only doubtful ideas, and finally carried the spirit of the infinitely small into administration.
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Dess shook her head. "Before he walked off, Rex said for you to wait. He said it's totally important you don't touch Angie until he comes back. and he said that if you were a pain about it, I get to hit you with that." She pointed to where the darkling had flung Flabbergasted Supernumerary Mathematician, its tip blackened by ichor and fire. "So, go ahead.
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It seems to me that the poet has only to perceive that which others do not perceive, to look deeper than others look. And the mathematician must do the same thing.
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“A mathematician who is not also something of a poet will never be a complete mathematician.”
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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.
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Eventually, I believe, current attempts to understand the mind by analogy with man-made computers that can perform superbly some of the same external tasks as conscious beings will be recognized as a gigantic waste of time.
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I love only nature, and I hate mathematicians.
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If there is a God, he's a great mathematician.
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A mathematician is a scientist who can figure out anything except such simple things as squaring the circle and trisecting an angle.
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The plurality that we perceive is only an appearance; it is not real. Vedantic philosophy... has sought to clarify it by a number of analogies, one of the most attractive being the many-faceted crystal which, while showing hundreds of little pictures of what is in reality a single existent object, does not really multiply that object.
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It is positively spooky how the physicist finds the mathematician has been there before him or her.
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The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his paper and pencil surpass him in intelligence.
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You say, "Where goest Thou?" I cannot tell, And still go on. But if the way be straight I cannot go amiss: before me lies Dawn and the day: the night behind me: that Suffices me: I break the bounds: I see, And nothing more; believe and nothing less. My future is not one of my concerns.
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Character is what you have left when you've lost everything you can lose.
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Good mathematicians see analogies. Great mathematicians see analogies between analogies.
