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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.
Gottfried Leibniz
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Gottfried Leibniz
Age: 70 †
Born: 1646
Born: July 1
Died: 1716
Died: November 14
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More quotes by Gottfried Leibniz
To love is to place happiness in the heart of another.
Gottfried Leibniz
I hold that it is only when we can prove everything we assert that we understand perfectly the thing under consideration.
Gottfried Leibniz
Take what you need, do what you should, you will get what you want.
Gottfried Leibniz
There never is absolute birth nor complete death, in the strict sense, consisting in the separation of the soul from the body. What we call births are developments and growths, while what we call deaths are envelopments and diminutions.
Gottfried Leibniz
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.
Gottfried Leibniz
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
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.
Gottfried Leibniz
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.
Gottfried Leibniz
Why is there anything at all rather than nothing whatsoever?
Gottfried Leibniz
He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.
Gottfried Leibniz
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
Reality cannot be found except in One single source, because of the interconnection of all things with one another. I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general.
Gottfried Leibniz
The present is saturated with the past and pregnant with the future.
Gottfried Leibniz
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
Gottfried Leibniz
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.
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
...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
But it is the knowledge of necessary and eternal truths which distinguishes us from mere animals, and gives us reason and the sciences, raising us to knowledge of ourselves and God. It is this in us which we call the rational soul or mind.
Gottfried Leibniz
The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.
Gottfried Leibniz
The art of discovering the causes of phenomena, or true hypotheses, is like the art of deciphering, in which an ingenious conjecture often greatly shortens the road.
Gottfried Leibniz