Our 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.
GOTTFRIED LEIBNIZMusic is a hidden arithmetic exercise of the soul, which does not know that it is counting.
More Gottfried Leibniz Quotes
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A great doctor kills more people than a great general.
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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.
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I have said more than once, that I hold space to be something purely relative, as time; an order of coexistences, as time is an order of successions.
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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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Music is a secret and unconscious mathematical problem of the soul.
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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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The present is great with the future.
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There are also two kinds of truths: truth of reasoning and truths of fact.
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Every mind has a horizon in respect to its present intellectual capacity but not in respect to its future intellectual capacity.
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All things in God are spontaneous.
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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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And there must be simple substances, because there are compounds; for the compound is nothing but a collection or aggregatum of simples.
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For since it is impossible for a created monad to have a physical influence on the inner nature of another, this is the only way in which one can be dependent on another.
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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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The most perfect society is that whose purpose is the universal and supreme happiness.
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Indeed 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.
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The world is not a machine. Everything in it is force, life, thought.
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I hold that the mark of a genuine idea is that its possibility can be proved, either a priori by conceiving its cause or reason, or a posteriori when experience teaches us that it is in fact in nature.
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Whence it follows that God is absolutely perfect, since perfection is nothing but magnitude of positive reality, in the strict sense, setting aside the limits or bounds in things which are limited.
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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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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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Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.
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Take what you need, do what you should, you will get what you want.
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Nature does not make leaps.
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A distinction must be made between true and false ideas, and that too much rein must not be given to a man’s imagination under pretext of its being a clear and distinct intellection.
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To love is to place happiness in the heart of another.
GOTTFRIED LEIBNIZ