I hold that it is only when we can prove everything we assert that we understand perfectly the thing under consideration.
GOTTFRIED LEIBNIZNow 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.
More Gottfried Leibniz Quotes
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Nature does not make leaps.
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It is worth noting that the notation facilitates discovery. This, in a most wonderful way, reduces the mind’s labour.
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The greatness of a life can only be estimated by the multitude of its actions. We should not count the years, it is our actions which constitute our life.
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The monad, of which we shall speak here, is nothing but a simple substance which enters into compounds; simple, that is to say, without parts.
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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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There is nothing without a reason.
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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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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.
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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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Music is the pleasure the human mind experiences from counting without being aware that it is counting.
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Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being.
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There are also two kinds of truths: truth of reasoning and truths of fact.
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God makes nothing without order, and everything that forms itself develops imperceptibly out of small parts.
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The Divine Spirit found a sublime outlet in that wonder of analysis, that portent of the ideal world, that amphibian between being and not-being, which we call the imaginary root of negative unity.
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What is what must be.
GOTTFRIED LEIBNIZ