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 LEIBNIZEvery 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.
More Gottfried Leibniz Quotes
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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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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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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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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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To love is to be delighted by the happiness of someone, or to experience pleasure upon the happiness of another. I define this as true love.
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Of what use would it be to you, sir, to become King of China on condition that you forgot what you have been? Would it not be the same as if God, at the same time he destroyed you, created a King in China?
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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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He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.
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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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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 words ‘Here you can find perfect peace’ can be written only over the gates of a cemetery.
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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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Make me the the master of education, and I will undertake to change the world.
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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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In my judgment an organic machine new to nature never arises, since it always contains an infinity of organs so that it can express, in its own way, the whole universe; indeed, it always contains all past and present times.
GOTTFRIED LEIBNIZ