Karl Friedrich Gauss Quotes

His motto Few, but ripe.

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God does arithmetic.

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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.

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I have had my results for a long time but I do not yet know how I am to arrive at them.

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A great part of its higher arithmetic theories derives an additional charm from the peculiarity that important propositions, with the impress of simplicity on them, are often easily discovered by induction, and yet are of so profound a character that we cannot find the demonstrations till after many vain attempts and even then, when we do succeed, it is often by some tedious and artificial process, while the simple methods may long remain concealed.

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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.

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It may be true that people who are merely mathematicians have certain specific shortcomings however, that is not the fault of mathematics, but is true of every exclusive occupation.

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You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.

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Mathematics is the queen of the sciences.

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I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof 0, and it is demanded for proof that every doubt becomes impossible.

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If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.

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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.

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His second motto Thou, nature, art my goddess to thy laws my services are bound....

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Theory attracts practice as the magnet attracts iron.

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While working, when informed that his wife is dying Ask her to wait a moment I am almost done.

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Finally, two days ago, I succeeded not on account of my hard efforts, but by the grace of the Lord. Like a sudden flash of lightning, the riddle was solved. I am unable to say what was the conducting thread that connected what I previously knew with what made my success possible.

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It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment. When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again. The never-satisfied man is so strange if he has completed a structure, then it is not in order to dwell in it peacefully, but in order to begin another. I imagine the world conqueror must feel thus, who, after one kingdom is scarcely conquered, stretches out his arms for others.

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