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.
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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Virtue is the habit of acting according to wisdom.
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It is a good thing to proceed in order and to establish propositions. This is the way to gain ground and to progress with certainty.
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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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It’s easier to be original and foolish than original and wise.
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Nature does not make leaps.
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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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There is a certain destiny of everything, regulated by the foreknowledge and providence of God in His works.
GOTTFRIED LEIBNIZ -
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.
GOTTFRIED LEIBNIZ -
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.
GOTTFRIED LEIBNIZ -
The Divine Spirit found a sublime outlet in that wonder of analysis, that portent of the ideal world, that amphibian between being and not-being, which we call the imaginary root of negative unity.
GOTTFRIED LEIBNIZ -
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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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.
GOTTFRIED LEIBNIZ -
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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Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.
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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.
GOTTFRIED LEIBNIZ