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.
GOTTFRIED LEIBNIZEvery mind has a horizon in respect to its present intellectual capacity but not in respect to its future intellectual capacity.
More Gottfried Leibniz Quotes
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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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The greatness of a life can only be estimated by the multitude of its actions. We should not count the years, it is our actions which constitute our life.
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A great doctor kills more people than a great general.
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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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Music is nothing but unconscious arithmetic.
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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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Justice is charity in accordance with wisdom.
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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.
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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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There is nothing waste, nothing sterile, nothing dead in the universe; no chaos, no confusions, save in appearance.
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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.
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Nothing is necessitated whose opposite is possible.
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The present is saturated with the past and pregnant with the future.
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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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God makes nothing without order, and everything that forms itself develops imperceptibly out of small parts.
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Nature does not make leaps.
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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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It’s easier to be original and foolish than original and wise.
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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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Nothing is more important than to see the sources of invention which are, in my opinion more interesting than the inventions themselves.
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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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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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Everything that is possible demands to exist.
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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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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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It is necessary to believe that the mixture of evil has produced the greatest possible good: otherwise the evil would not have been permitted.
GOTTFRIED LEIBNIZ