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.
GOTTFRIED LEIBNIZEach portion of matter may be conceived of as a garden full of plants, and as a pond full of fishes. But each branch of the plant, each member of the animal, each drop of its humors, is also such a garden or such a pond.
More Gottfried Leibniz Quotes
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We may say, that not only the soul (the mirror of an indestructible universe) is indestructible, but also the animal itself is, although its mechanism is frequently destroyed in parts.
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He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.
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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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The past is pregnant with the present.
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The Divine Spirit found a sublime outlet in that wonder of analysis, that portent of the ideal world, that amphibian between being and not-being, which we call the imaginary root of negative unity.
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Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.
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I am convinced that the unwritten knowledge scattered among men of different callings surpasses in quantity and in importance anything we find in books, and that the greater part of our wealth has yet to be recorded.
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All things in God are spontaneous.
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Justice is charity in accordance with wisdom.
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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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Every present state of a simple substance is the natural consequence of its preceding state, in such a way that its present is big with its future.
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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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He who hasn’t tasted bitter things hasn’t earned sweet things.
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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 unworthy of excellent men to lose hours like slaves in the labor of calculation which could be relegated to anyone else if machines were used.
GOTTFRIED LEIBNIZ