Nature does not make leaps.
GOTTFRIED LEIBNIZI 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.
More Gottfried Leibniz Quotes
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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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We live in the best of all possible worlds.
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I also readily admit that there are animals, taken in the ordinary sense, that are incomparably larger than those we know of, and I have sometimes said in jest that there might be a system like ours which is the pocketwatch of some enormous giant.
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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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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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Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.
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God makes nothing without order, and everything that forms itself develops imperceptibly out of small parts.
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Justice is charity in accordance with wisdom.
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It’s easier to be original and foolish than original and wise.
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God’s relation to spirits is not like that of a craftsman to his work, but also like that of a prince to his subjects.
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For things remain possible, even if God does not choose them. Indeed, even if God does not will something to exist, it is possible for it to exist, since, by its nature, it could exist if God were to will it to exist.
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I do not conceive of any reality at all as without genuine unity.
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Although the whole of this life were said to be nothing but a dream and the physical world nothing but a phantasm, I should call this dream or phantasm real enough, if, using reason well, we were never deceived by it.
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The world is not a machine. Everything in it is force, life, thought.
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The present is great with the future.
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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 pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.
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Now where there are no parts, there neither extension, nor shape, nor divisibility is possible. And these monads are the true atoms of nature and, in a word, the elements of things.
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Every substance is as a world apart, independent of everything else except God.
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But in simple substances the influence of one monad over another is ideal only.
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Take what you need, do what you should, you will get what you want.
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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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He who hasn’t tasted bitter things hasn’t earned sweet things.
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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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What is what must be.
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The larger the mass of collected things, the less will be their usefulness. Therefore, one should not only strive to assemble new goods from everywhere, but one must endeavor to put in the right order those that one already possesses.
GOTTFRIED LEIBNIZ