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Taking mathematics from the beginning of the world to the time when Newton lived, what he had done was much the better half.

Gottfried Leibniz

He who hasn’t tasted bitter things hasn’t earned sweet things.
GOTTFRIED LEIBNIZ

Bitter Earn Sweet Taste
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.
GOTTFRIED LEIBNIZ

Follow God Limitation Perfection Positive Reality
Thus God alone is the primary Unity, or original simple substance, from which all monads, created and derived, are produced.
GOTTFRIED LEIBNIZ

Alone Creation God Primary Production
God’s relation to spirits is not like that of a craftsman to his work, but also like that of a prince to his subjects.
GOTTFRIED LEIBNIZ

God Himself Relation Subject Work
Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.
GOTTFRIED LEIBNIZ

Count Exercise Hide Music
Now this connection or adaption of all created things with each, and of each with all the rest, means that each simple substance has relations which express all the others, and that consequently it is a perpetual living mirror of the universe.
GOTTFRIED LEIBNIZ

Adaption Connection Creation Expression Mirror Simplicity Substance Universe
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

Fake Greatness Ground Judgement Principle Reason True
There are also two kinds of truths: truth of reasoning and truths of fact.
GOTTFRIED LEIBNIZ

Fact Kind Reason Truth
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

Infinity Judgment Machine Past Present Time
I don’t say that bodies like flint, which are commonly called inanimate, have perceptions and appetition; rather they have something of that sort in them, as worms are in cheese.
GOTTFRIED LEIBNIZ

Body Perception Sort Worm
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 LEIBNIZ

Demonstration Mindset Reason Understand
The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.
GOTTFRIED LEIBNIZ

Arithmetic Count Music Pleasure Unconscious
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

Choice Creation God Perfection Phenomena Regular World
The present is saturated with the past and pregnant with the future.
GOTTFRIED LEIBNIZ

Future Past Pregnant Present
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

Attachment Happiness Open Problem Secret
It’s easier to be original and foolish than original and wise.
GOTTFRIED LEIBNIZ

Easy Fools Original Wisdom

Taking mathematics from the beginning of the world to the time when Newton lived, what he had done was much the better half.

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Taking mathematics from the beginning of the world to the time when Newton lived, what he had done was much the better half.

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