Gottfried Leibniz quote

"And there must be simple substances, because there are compounds; for the compound is nothing but a collection or aggregatum of simples."

Gottfried Leibniz

Born: July 1, 1646

Die: November 14, 1716

Occupation: Mathematician

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More quotes of Gottfried Leibniz

Gottfried Leibniz

He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.

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Gottfried Leibniz

The soul is the mirror of an indestructible universe. The Monadology.

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Gottfried Leibniz

It's easier to be original and foolish than original and wise.

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Gottfried Leibniz

A great doctor kills more people than a great general.

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Gottfried Leibniz

We live in the best of all possible worlds

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Gottfried Leibniz

But in simple substances the influence of one monad over another is ideal only.

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Gottfried Leibniz

There are also two kinds of truths: truth of reasoning and truths of fact.

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Gottfried Leibniz

The most perfect society is that whose purpose is the universal and supreme happiness.

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Gottfried Leibniz

If we were magically shrunk and put into someone's brain while she was thinking, we would see all the pumps, pistons, gears and levers working away and we would be able to describe the workings completely,...

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Gottfried Leibniz

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.

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Gottfried Leibniz

TO LOVE is to find pleasure in the happiness of others.

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Gottfried Leibniz

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...

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Gottfried Leibniz

What is is what must be.

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Gottfried Leibniz

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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Gottfried Leibniz

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...

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Gottfried Leibniz

The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.

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Gottfried Leibniz

I do not conceive of any reality at all as without genuine unity.

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Gottfried Leibniz

For since it is impossible for a created monad to have a physical influence on the inner nature of another, this is the only way in which one can be dependent on another.

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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.

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Gottfried Leibniz

Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being.

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Gottfried 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.

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Gottfried Leibniz

Reality cannot be found except in One single source, because of the interconnection of all things with one another.

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Gottfried Leibniz

To love is to place happiness in the heart of another....

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Gottfried Leibniz

Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.

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Gottfried Leibniz

Everything that is possible demands to exist.

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Gottfried Leibniz

I do not believe that a world without evil, preferable in order to ours, is possible; otherwise it would have been preferred. It is necessary to believe that the mixture of evil has produced the greatest...

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Gottfried Leibniz

These principles have given me a way of explaining naturally the union or rather the mutual agreement [conformité] of the soul and the organic body. The soul follows its own laws, and the body likewise...

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Gottfried Leibniz

There are also two kinds of truths, those of reasoning and those of fact. Truths of reasoning are necessary and their opposite is impossible: truths of fact are contingent and their opposite is possible....

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Gottfried Leibniz

Music is the pleasure the human mind experiences from counting without being aware that it is counting.

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Gottfried Leibniz

Although the whole of this life were said to be nothing but a dream and the physical world nothing but a phantasm, I should call this dream or phantasm real enough, if, using reason well, we were never...

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Gottfried Leibniz

According to their [Newton and his followers] doctrine, God Almighty wants to wind up his watch from time to time: otherwise it would cease to move. He had not, it seems, sufficient foresight to make it...

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Gottfried Leibniz

It is God who is the ultimate reason things, and the Knowledge of God is no less the beginning of science than his essence and will are the beginning of things.

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Gottfried Leibniz

We should like Nature to go no further; we should like it to be finite, like our mind; but this is to ignore the greatness and majesty of the Author of things.

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Gottfried Leibniz

Indeed in general I hold that there is nothing truer than happiness, and nothing happier and sweeter than truth.

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Gottfried Leibniz

It is a good thing to proceed in order and to establish propositions. This is the way to gain ground and to progress with certainty.

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Gottfried Leibniz

...a distinction must be made between true and false ideas, and that too much rein must not be given to a man's imagination under pretext of its being a clear and distinct intellection.

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Gottfried Leibniz

Reality cannot be found except in One single source, because of the interconnection of all things with one another. I maintain also that substances, whether material or immaterial, cannot be conceived...

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Gottfried Leibniz

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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Gottfried Leibniz

I agree with you that it is important to examine our presuppositions, throughly and once for all, in order to establish something solid. For I hold that it is only when we can prove all that we bring forward...

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Gottfried Leibniz

But it is the knowledge of necessary and eternal truths which distinguishes us from mere animals, and gives us reason and the sciences, raising us to knowledge of ourselves and God. It is this in us which...

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Gottfried Leibniz

When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative...

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Gottfried Leibniz

..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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Gottfried Leibniz

Thus God alone is the primary Unity, or original simple substance, from which all monads, created and derived, are produced.

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Gottfried Leibniz

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...

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Gottfried Leibniz

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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Gottfried Leibniz

And there must be simple substances, because there are compounds; for the compound is nothing but a collection or aggregatum of simples.

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Gottfried Leibniz

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.

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Gottfried Leibniz

There is no way in which a simple substance could begin in the course of nature, since it cannot be formed by means of compounding.

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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...

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Gottfried Leibniz

I also take it as granted that every created thing, and consequently the created monad also, is subject to change, and indeed that this change is continual in each one.

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Gottfried Leibniz

It is worth noting that the notation facilitates discovery. This, in a most wonderful way, reduces the mind's labour.

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Gottfried Leibniz

Nothing is accomplished all at once, and it is one of my great maxims, and one of the most completely verified, that Nature makes no leaps: a maxim which I have called the law of continuity.

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Gottfried Leibniz

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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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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Gottfried Leibniz

To love is to take delight in happiness of another, or, what amounts to the same thing, it is to account another's happiness as one's own.

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Gottfried Leibniz

Every mind has a horizon in respect to its present intellectual capacity but not in respect to its future intellectual capacity.

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And there must be simple substances, because there are compounds; for the compound is nothing but a collection or aggregatum of simples.

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That human life must be some kind of mistake is sufficiently proved by the simple observation that man is a compound of needs which are hard to satisfy; that their satisfaction achieves nothing but a painless...

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A single kind of red cell is supposed to have an enormous number of different substances on it, and in the same way there are substances in the serum to react with many different animal cells. In addition,...

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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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A perfect life is a contradiction in terms. Life itself is a state of continuous struggle between ourselves and everything outside. Every moment we are fighting actually with external nature, and if we...

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Compounds of gaseous substances with each other are always formed in very simple ratios, so that representing one of the terms by unity, the other is 1, 2, or at most 3 ... The apparent contraction of...

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