Music is the pleasure the human mind experiences from counting without being aware that it is counting.
GOTTFRIED WILHELM LEIBNIZThe 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.
More Gottfried Wilhelm Leibniz Quotes
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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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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.
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I hold that it is only when we can prove everything we assert that we understand perfectly the thing under consideration.
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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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We never have a full demonstration, although there is always an underlying reason for the truth, even if it is only perfectly understood by God, who alone penetrated the infinite series in one stroke of the mind.
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The world is not a machine. Everything in it is force, life, thought.
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What is is what must be.
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There are also two kinds of truths: truth of reasoning and truths of fact.
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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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Everything that is possible demands to exist.
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Make me the the master of education, and I will undertake to change the world.
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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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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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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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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.
GOTTFRIED WILHELM LEIBNIZ