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.
GOTTFRIED LEIBNIZThere are also two kinds of truths: truth of reasoning and truths of fact.
More Gottfried Leibniz Quotes
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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 -
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 -
Music is the pleasure the human mind experiences from counting without being aware that it is counting.
GOTTFRIED LEIBNIZ -
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 -
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 -
The most perfect society is that whose purpose is the universal and supreme happiness.
GOTTFRIED LEIBNIZ -
Either there are no corporeal substances, and bodies are merely phenomena which are true or consistent with each other, such as a rainbow or a perfectly coherent dream, or there is in all corporeal substances something analogous to the soul.
GOTTFRIED LEIBNIZ -
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 -
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.
GOTTFRIED LEIBNIZ -
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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Nature does not make leaps.
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.
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If you have a clear idea of a soul, you will have a clear idea of a form; for it is of the same genus, though a different species.
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.
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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