The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.
GOTTFRIED LEIBNIZThere is a world of created beings – living things, animals, entelechies, and souls – in the least part of matter…. Thus there is nothing waste, nothing sterile, nothing dead in the universe; no chaos, no confusions, save in appearance.
More Gottfried Leibniz Quotes
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Taking mathematics from the beginning of the world to the time when Newton lived, what he had done was much the better half.
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To love is to take delight in happiness of another, or, what amounts to the same thing, it is to account another’s happiness as one’s own.
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It is a good thing to proceed in order and to establish propositions. This is the way to gain ground and to progress with certainty.
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The knowledge which we have acquired ought not to resemble a great shop without order, and without an inventory; we ought to know what we possess, and be able to make it serve us in need.
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Therefore, I have attacted [the problem of the catenary] which I had hitherto not attempted, and with my key [the differential calculus] happily opened its secret. Acta eruditorum
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Music is the pleasure the human mind experiences from counting without being aware that it is counting.
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The world is not a machine. Everything in it is force, life, thought.
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There are also two kinds of truths: truth of reasoning and truths of fact.
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It’s easier to be original and foolish than original and wise.
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I have said more than once, that I hold space to be something purely relative, as time; an order of coexistences, as time is an order of successions.
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The art of discovering the causes of phenomena, or true hypotheses, is like the art of deciphering, in which an ingenious conjecture often greatly shortens the road.
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Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being.
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Every substance is as a world apart, independent of everything else except God.
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The larger the mass of collected things, the less will be their usefulness. Therefore, one should not only strive to assemble new goods from everywhere, but one must endeavor to put in the right order those that one already possesses.
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I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author.
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