I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author.
GOTTFRIED WILHELM LEIBNIZOne cannot explain words without making incursions into the sciences themselves, as is evident from dictionaries; and, conversely, one cannot present a science without at the same time defining its terms.
More Gottfried Wilhelm Leibniz Quotes
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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.
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There is a certain destiny of everything, regulated by the foreknowledge and providence of God in His works.
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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.
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Music is the pleasure the human mind experiences from counting without being aware that it is counting.
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The words ‘Here you can find perfect peace’ can be written only over the gates of a cemetery.
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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.
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The present is great with the future.
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Everything that is possible demands to exist.
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Nature does not make leaps.
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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.
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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.
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I hold that the mark of a genuine idea is that its possibility can be proved, either a priori by conceiving its cause or reason, or a posteriori when experience teaches us that it is in fact in nature.
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..This is why the ultimate reason of things must lie in a necessary substance, in which the differentiation of the changes only exists eminently as in their source; and this is what we call God.
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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.
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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 WILHELM LEIBNIZ