Taking mathematics from the beginning of the world to the time when Newton lived, what he had done was much the better half.
GOTTFRIED LEIBNIZIt 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.
More Gottfried Leibniz Quotes
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The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.
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It is worth noting that the notation facilitates discovery. This, in a most wonderful way, reduces the mind’s labour.
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There never is absolute birth nor complete death, in the strict sense, consisting in the separation of the soul from the body. What we call births are developments and growths, while what we call deaths are envelopments and diminutions.
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In whatever manner God created the world, it would always have been regular and in a certain general order. God, however, has chosen the most perfect, that is to say, the one which is at the same time the simplest in hypothesis and the richest in phenomena.
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Either there are no corporeal substances, and bodies are merely phenomena which are true or consistent with each other, such as a rainbow or a perfectly coherent dream, or there is in all corporeal substances something analogous to the soul.
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There 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.
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Each 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.
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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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We live in the best of all possible worlds.
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Nothing is accomplished all at once, and it is one of my great maxims, and one of the most completely verified, that Nature makes no leaps: a maxim which I have called the law of continuity.
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There is a certain destiny of everything, regulated by the foreknowledge and providence of God in His works.
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The present is big with the future, the future might be read in the past, the distant is expressed in the near.
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The most perfect society is that whose purpose is the universal and supreme happiness.
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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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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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