Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being.
GOTTFRIED WILHELM LEIBNIZMusic is a hidden arithmetic exercise of the soul, which does not know that it is counting.
More Gottfried Wilhelm Leibniz Quotes
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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 WILHELM LEIBNIZ -
Men act like brutes in so far as the sequences of their perceptions arise through the principle of memory only, like those empirical physicians who have mere practice without theory.
GOTTFRIED WILHELM LEIBNIZ -
The present is great with the future.
GOTTFRIED WILHELM 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 WILHELM LEIBNIZ -
I hold that it is only when we can prove everything we assert that we understand perfectly the thing under consideration.
GOTTFRIED WILHELM LEIBNIZ -
He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.
GOTTFRIED WILHELM 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 WILHELM LEIBNIZ -
I am convinced that the unwritten knowledge scattered among men of different callings surpasses in quantity and in importance anything we find in books, and that the greater part of our wealth has yet to be recorded.
GOTTFRIED WILHELM LEIBNIZ -
We may say, that not only the soul (the mirror of an indestructible universe) is indestructible, but also the animal itself is, although its mechanism is frequently destroyed in parts.
GOTTFRIED WILHELM LEIBNIZ -
There is nothing without reason.
GOTTFRIED WILHELM 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 WILHELM LEIBNIZ -
Music is nothing but unconscious arithmetic.
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Each portion of matter may be conceived of as a garden full of plants, and as a pond full of fishes. But each branch of the plant, each member of the animal, each drop of its humors, is also such a garden or such a pond.
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Every 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.
GOTTFRIED WILHELM LEIBNIZ -
God makes nothing without order, and everything that forms itself develops imperceptibly out of small parts.
GOTTFRIED WILHELM LEIBNIZ