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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 Leibniz

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Gottfried Leibniz
Age: 70 †
Born: 1646
Born: July 1
Died: 1716
Died: November 14
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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 dot was introduced as a symbol for multiplication by Leibniz. On July 29, 1698, he wrote in a letter to Johann Bernoulli: I do not like X as a symbol for multiplication, as it is easily confounded with x.
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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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We should like Nature to go no further we should like it to be finite, like our mind but this is to ignore the greatness and majesty of the Author of things.
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The words 'Here you can find perfect peace' can be written only over the gates of a cemetery.
Gottfried Leibniz
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In symbols one observes an advantage in discovery which is greatest when they express the exact nature of a thing briefly and, as it were, picture it then indeed the labor of thought is wonderfully diminished.
Gottfried Leibniz
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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.
Gottfried Leibniz
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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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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.
Gottfried Leibniz
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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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I have seen something of the project of M. de St. Pierre, for maintaining a perpetual peace in Europe. I am reminded of a device in a cemetery, with the words: Pax perpetua for the dead do not fight any longer: but the living are of another humor and the most powerful do not respect tribunals at all.
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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 past is pregnant with the present.
Gottfried Leibniz
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There is a world of created beings - living things, animals, entelechies, and souls - in the least part of matter.... Thus there is nothing waste, nothing sterile, nothing dead in the universe no chaos, no confusions, save in appearance.
Gottfried Leibniz
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God makes nothing without order, and everything that forms itself develops imperceptibly out of small parts.
Gottfried Leibniz
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Philosophy consists mostly of kicking up a lot of dust and then complaining that you can't see anything.
Gottfried Leibniz
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The present is saturated with the past and pregnant with the future.
Gottfried Leibniz
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To love is to place happiness in the heart of another.
Gottfried Leibniz
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There is nothing without reason.
Gottfried Leibniz
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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.
Gottfried Leibniz