Music is nothing but unconscious arithmetic.
GOTTFRIED LEIBNIZIndeed every monad must be different from every other. For there are never in nature two beings, which are precisely alike, and in which it is not possible to find some difference which is internal, or based on some intrinsic quality.
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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Music is a secret and unconscious mathematical problem of the soul.
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Virtue is the habit of acting according to wisdom.
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To love is to be delighted by the happiness of someone, or to experience pleasure upon the happiness of another. I define this as true love.
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It has long seemed ridiculous to me to suppose that the nature of things has been so poor and stingy that it provided souls only to such a trifling mass of bodies on our globe, like human bodies, when it could have given them to all, without interfering with its other ends.
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The monad, of which we shall speak here, is nothing but a simple substance which enters into compounds; simple, that is to say, without parts.
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To love is to find pleasure in the happiness of others.
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Every substance is as a world apart, independent of everything else except God.
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Reality cannot be found except in One single source, because of the interconnection of all things with one another.
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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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There are also two kinds of truths: truth of reasoning and truths of fact.
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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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To love is to place happiness in the heart of another.
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This is why the ultimate reason of things must lie in a necessary substance, in which the differentiation of the changes only exists eminently as in their source; and this is what we call God.
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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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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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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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Music is the pleasure the human mind experiences from counting without being aware that it is counting.
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I also take it as granted that every created thing, and consequently the created monad also, is subject to change, and indeed that this change is continual in each one.
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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.
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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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There is a certain destiny of everything, regulated by the foreknowledge and providence of God in His works.
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All things in God are spontaneous.
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We should like Nature to go no further; we should like it to be finite, like our mind; but this is to ignore the greatness and majesty of the Author of things.
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When God works miracles, he does not do it in order to supply the wants of nature, but those of grace. Whoever thinks otherwise, must needs have a very mean notion of the wisdom and power of God.
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