Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.
GOTTFRIED WILHELM LEIBNIZOur reasonings are grounded upon two great principles, that of contradiction, in virtue of which we judge false that which involves a contradiction, and true that which is opposed or contradictory to the false.
More Gottfried Wilhelm Leibniz Quotes
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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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Indeed in general I hold that there is nothing truer than happiness, and nothing happier and sweeter than truth.
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In symbols one observes an advantage in discovery which is greatest when they express the exact nature of a thing briefly and, as it were, picture it; then indeed the labor of thought is wonderfully diminished.
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There is nothing without a reason.
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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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Nature does not make leaps.
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He who hasn’t tasted bitter things hasn’t earned sweet things.
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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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If you have a clear idea of a soul, you will have a clear idea of a form; for it is of the same genus, though a different species.
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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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One cannot explain words without making incursions into the sciences themselves, as is evident from dictionaries; and, conversely, one cannot present a science without at the same time defining its terms.
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Men act like brutes in so far as the sequences of their perceptions arise through the principle of memory only, like those empirical physicians who have mere practice without theory.
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What is is what must be.
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Natural religion itself, seems to decay very much. Many will have human souls to be material: others make God himself a corporeal being.
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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 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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It is God who is the ultimate reason things, and the Knowledge of God is no less the beginning of science than his essence and will are the beginning of things.
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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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Why is there anything at all rather than nothing whatsoever?
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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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There is nothing without reason.
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The most perfect society is that whose purpose is the universal and supreme happiness.
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Now this connection or adaption of all created things with each, and of each with all the rest, means that each simple substance has relations which express all the others, and that consequently it is a perpetual living mirror of the universe.
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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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Thus God alone is the primary Unity, or original simple substance, from which all monads, created and derived, are produced.
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It is necessary to believe that the mixture of evil has produced the greatest possible good: otherwise the evil would not have been permitted.
GOTTFRIED WILHELM LEIBNIZ