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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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When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.
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Ask her to wait a moment - I am almost done.
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One day he said: For the soul there is a satisfaction of a higher type; the material is not at all necessary. Whether I apply mathematics to a couple of clods of dirt, which we call planets, or to purely arithmetical problems, it s just the same; the latter have only a higher charm for me.
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Arc, amplitude, and curvature sustain a similar relation to each other as time, motion, and velocity, or as volume, mass, and density.
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You say that faith is a gift; this is perhaps the most correct thing that can be said about it.
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Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems.
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But in our opinion truths of this kind should be drawn from notions rather than from notations.
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One is forced to the view, for which there is so much evidence even though without rigorous scientific basis, that besides this material world another, second, purely spiritual world order exists, with just as many diversities as that in which we live--we are to participate in it.
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I scarcely believe that in psychology data are present which can be mathematically evaluated. But one cannot know this with certainty, without having made the experiment. God alone is in possession of the mathematical bases of psychic phenomena.
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ul
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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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In such apparent accidents which finally produce such a decisive influence on one s whole life, one is inclined to recognize the tools of a higher hand. The great enigma of life never becomes clear to us here below.
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All the measurements in the world do not balance one theorem by which the science of eternal truths is actually advanced.