the French flag Leibniz

Leibniz

Modern philosophy

Leibniz was a German philosopher of the 17th century (1646-1716). He was a universal mind: in mathematics, he invented differential calculus, and in physics, he formulated the law of conservation of energy. He was born in Leipzig, defended his doctorate in law in Nuremberg and became a librarian at the court of Hanover. In philosophy, he is known for his work the Monadology and his demonstration of the existence and perfection of God, author of the best of all possible worlds, which Voltaire mocked.


The works of Leibniz summarised on this site

book cover

Monadology

In the Monadology, Leibniz sets out his famous principle of sufficient reason and defines the monad as the element of which the whole universe is made

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Bibliography

Here are the essential books if you wish to gain a better understanding of this author's thought:

Jolley, Nicholas, (ed.), 1995. The Cambridge Companion to Leibniz. Cambridge University Press.
Mates, Benson, 1986. The Philosophy of Leibniz: Metaphysics and Language. Oxford University Press.
Smith, Justin E. H., 2011. Divine Machines. Leibniz and the Sciences of Life, Princeton University Press.
Connelly, Stephen, 2021. Leibniz: A Contribution to the Archaeology of Power, Edinburgh University Press
Borowski, Audrey, 2024. Leibniz in His World: The Making of a Savant. Princeton University Press.

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Biography: life of Leibniz

Youth

Leibniz was born in 1646 in Leipzig, Germany, in Saxony, at the end of the Thirty Years' War that had torn Europe apart.

His father, a jurisconsult, died when he was just 6 years old. A precocious child with great intellectual curiosity, he taught himself Latin.

By the age of fifteen, he was well-versed in Greek and Latin literature, but was also interested in the authors of his time, such as Descartes.


After obtaining his baccalaureate in ancient philosophy, he left for Jena to study mathematics at the University in 1663. He then went to Nuremberg to study chemistry. Finally, he enrolled at the University of Law in Leipzig. In 1666, after graduating as doctor of law at the University of Altdorf, he declined a teaching post.

He met Baron von Boyneburg, who was to become his protector, and this encounter was to prove decisive for the rest of his career. He became his assistant, his lawyer and also his friend.

In 1670, he was entrusted with a political post: adviser to the Chancellery of the Electorate of Mainz. While living in Mainz, he prepared a vast reform of the law. He began to write political and scientific works.

The Journey to France and the Start of Discoveries

In 1672, he was commissioned by Louis XIV on a diplomatic mission to try to secure peace between France and Germany.

For 4 years, he resided in Paris, where he met several leading scientists of the time, including the mathematician and astronomer Huygens, and the philosopher Malebranche. He was at the centre of a vast network of exchanges between intellectuals from all over Europe. He had no fewer than 1,100 correspondents.

Portrait of Leibniz
Portrait of Leibniz

He worked on squaring the circle and developed the infinitesimal calculus. Newton also claimed authorship of this discovery, leading to a quarrel that lasted until the end of his life.
Finally, it seems that Newton was the first to conceive the idea, but that Leibniz published it first; for all that, neither plagiarised the other, having carried out their research independently.


In 1673, he designed a calculating machine that perfected the one Pascal had developed. He travelled to London to present his prototype, where he was elected to the Royal Society. He used his time there to study the works of Newton.

In Paris, he perfected his most fundamental mathematical discovery: the differential and integral calculus.


In 1676, he met Spinoza in The Hague, and became acquainted with the contents of The Ethics, although he later denied this, due to the sulphurous reputation surrounding Spinoza's name.

The same year, he finally returned to Germany where, following the death of his protector, he sought a new situation.

Although he wished to return to France, Colbert refused him a pension. So he stayed in Germany and was appointed librarian to the Duke of Brunswick-Lünebourg. He thus worked in the service of the House of Hanover, in what is now Lower Saxony, a position he held for 40 years.

Fruitful thought

Once his situation stabilised, Leibniz entered a period of intense creative activity. These forty years were very fruitful, intellectually speaking. It was during this period that he wrote most of his philosophical works.

He also devoted his thoughts to mathematics, religion and physics. In 1684, he published an article on differentials.


The year 1686 proved to be very fruitful:

On the mathematical front, he published his article on integrals.

In physics, he developed his theory of dynamics, based on the conservation of force—what we would now refer to as energy.

Finally, in philosophy, he published his Discourse on Metaphysics in French.

Leibniz was equally fluent in German (his mother tongue), Latin (the language of scholars) and French (the language spoken at court in Germany).


In 1691 he wrote his work on dynamics, in which he used the terms "energy" and "action" for the first time.


In 1699, he was admitted to the Académie des Sciences in Paris. He then set about founding a similar system in Germany: the Brandenburg Society of Sciences, later the Berlin Academy, was founded on his initiative.

A Compte Rendu de l'Académie des Sciences de Paris of 1703 contains an article by Leibniz in which he sets out the principles of binary calculus (using only 0 and 1). Nearly 250 years before the advent of computing, this was the very principle on which the operation of computers would be based. But Leibniz concludes that he fails to see the usefulness of this mode of calculation, other than an "essential" beauty: that of the links that unite numbers.

Old age

In 1710, he had his Essays of Theodicy published, and four years later, the Monadology, written in French. However, this work was only published posthumously.


He conceived the project of an encyclopaedia, or "universal library", which would make it possible to popularise knowledge and bring it within everyone's reach, but this never came to fruition.


He was recognised as the leading intellectual in Europe, receiving pensions from several European courts. He corresponded with kings and queens, such as the first queen of Prussia, Sophie-Charlotte of Hanover.

Despite his fame, he died in 1716 in Hanover in total solitude. No tribute was paid to him, with the exception of the Académie de Paris. He left no fewer than 200,000 manuscript pages.

Main works

Discourse on Metaphysics
New Essays on Human Understanding
Essays of Theodicy on the Goodness of God, the Freedom of Man and the Origin of Evil
The Monadology