Gottfried Wilhelm Leibniz

Gottfried Wilhelm Leibniz (or Leibnitz) was a German polymath who lived from 1646 to 1716. He helped create many important ideas in different fields.

Leibniz worked in math, philosophy, science, and even helping countries talk to each other. One of his biggest achievements, with Isaac Newton, was creating calculus. Calculus is a type of math that helps us understand how things change.

He also invented the binary number system. This system is very important for modern computers. Leibniz was curious about many subjects. He wrote about theology, ethics, politics, law, history, philology, games, music, and more. His ideas still affect many areas today.

Besides math, Leibniz built machines that could do calculations on their own. He made a machine called Pascal's calculator better. He also created a new part called the Leibniz wheel to help these machines work well. His work shows how one person can change many parts of our world.

Biography

Gottfried Leibniz was born in 1646 in Leipzig, in what is now Germany. His father was a professor, and Leibniz grew up with many books. This helped him learn Latin and study many subjects by himself.

Leibniz studied at the University of Leipzig and later the University of Altdorf, where he earned a law degree. He had many jobs, including working for an alchemical society and advising important leaders. He traveled to Paris, where he made friends with scientists and mathematicians, and began his own work on mathematics. During this time, he developed his version of calculus.

Later, Leibniz moved to Hanover, where he served the House of Brunswick in many roles, including as a librarian and advisor. He kept working in mathematics, philosophy, and other subjects, writing many important papers. Even though some people criticized his work on calculus, Leibniz was respected for his many contributions to knowledge.

Philosophy

Gottfried Wilhelm Leibniz made many important contributions to philosophy. He wrote books and shorter works, some published after his death. One major work, the Théodicée, was published while he was alive.

Leibniz’s ideas came from his studies and the thinkers he read. He developed key principles, including the identity of indiscernibles, which says two things are the same if they share all properties. He also believed in the principle of sufficient reason, meaning everything must have a reason for existing. Another idea was pre-established harmony, where everything in the universe works together.

Leibniz is known for his theory of monads, tiny simple substances that make up the universe. These monads are unique and reflect the universe in their own way. He also wrote about theodicy, trying to explain how a good and powerful God could allow evil in the world. For Leibniz, this world is the best one, created by a perfect God.

Mathematics

Leibniz made many important contributions to mathematics. He was the first to use the word “function” to describe certain geometric ideas. He also worked on calculating the value of life insurance.

Leibniz, along with Isaac Newton, is famous for creating calculus. He introduced important symbols we still use today, like the integral sign ∫ for adding up tiny pieces, and the d for showing small changes. His ideas influenced many areas of math.

Science and engineering

Leibniz made many important contributions to science and engineering. He developed new ideas about motion and energy, and he thought about space and time in ways that were different from other scientists of his time. His ideas about energy influenced physics, and he also had thoughts about the nature of the Earth and living things.

Leibniz was also interested in how the mind and body work together. He believed that our minds and bodies work in harmony, even though they operate in different ways. He also studied how we learn and remember, and his ideas helped shape the field of psychology. In addition to his work in science, Leibniz designed many useful machines and inventions, showing how important it is to combine ideas with practical work.

Law and morality

Leibniz had many ideas about law and ethics. He believed people should usually obey their leaders, but sometimes this might not be right. He dreamed of a united Europe where countries worked together. Some think this inspired the European Union much later.

Leibniz studied law and used logical thinking to solve legal problems. He thought learning law should help people think for themselves. He also worked to bring together different Christian churches, hoping reason could help heal old divisions.

Philology

Leibniz loved studying languages. He was eager to learn new words and grammar rules. In 1710, he wrote an essay about how languages slowly change over time. He did not believe that Hebrew was the first language. He also did not think an early form of Swedish was the ancestor of the Germanic languages. Leibniz was very interested in the origins of the Slavic languages and liked studying classical Chinese. He could also read Sanskrit well.

He helped publish the first modern edition of a Latin book called the Chronicon Holtzatiae. This book told the history of the County of Holstein.

Sinophilia

Leibniz was one of the first major European thinkers to show deep interest in Chinese culture. He wrote letters with Christian missionaries in China and read their books, including Confucius Sinarum Philosophus. Leibniz thought Europeans could learn from the Confucian traditions.

He saw that the I Ching hexagrams looked like binary numbers, which excited him because it linked to his math work. Leibniz told the Emperor of China about the binary system, hoping it might help share Christian ideas. His interest in Chinese philosophy influenced some of his own ideas, like "simple substance" and "pre-established harmony."

Polymath

Gottfried Wilhelm Leibniz traveled across Europe to study the history of the Brunswick family. While he was in Vienna from 1688 to 1689, he helped with legal and diplomatic work for the Brunswicks. He visited mines, talked with engineers, and suggested using lamps burning rapeseed oil to light the streets of Vienna. His idea was used later. Leibniz also talked with the Austrian Emperor about ways to improve the economy, change money systems, and start new research and archive projects. He wrote an important paper about mechanics.

Main article: Mechanics

Posthumous reputation

When Leibniz died, people remembered him for one book, Théodicée. A famous writer named Voltaire made fun of Leibniz’s ideas in his book Candide. This changed how people saw Leibniz’s work for a long time. Later, more of Leibniz’s writings were shared, and people began to appreciate his ideas more.

In the 20th century, scholars studied Leibniz’s work closely. Today, many think Leibniz was one of the greatest thinkers of his time. His ideas are still used in philosophy and other subjects. Many places and awards are named after him, like Leibniz University Hannover and the Leibniz Prize. Leibniz is still well-known today. He appears in books, online events, and even a popular German biscuit called the Choco Leibniz.

Writings and publication

Leibniz wrote in Latin, French, and German. During his life, he published many articles and two big books: De Arte Combinatoria and Théodicée. After he died, an important book called Nouveaux essais sur l'entendement humain was found and published later.

Leibniz left behind many letters and writings, which people still study today. His works are in groups such as political, philosophical, and math writings. Scholars have been collecting and organizing his writings since 1901, and they are still working on it. A new edition of his philosophical papers is planned for April 2026.

Selected works

The year shown is when the work was finished, not when it was published.

• 1666 (publ. 1690): De Arte Combinatoria ('On the Art of Combination')
• 1667: Nova Methodus Discendae Docendaeque Iurisprudentiae ('A New Method for Learning and Teaching Jurisprudence')
• 1667: "Dialogus de connexione inter res et verba" ('A dialogue about the connection between things and Words')
• 1671: Hypothesis Physica Nova ('New Physical Hypothesis')
• 1673: Confessio philosophi ('A Philosopher's Creed')
• Oct. 1684: "Meditationes de cognitione, veritate et ideis" ('Meditations on Knowledge, Truth, and Ideas')
• Nov. 1684: "Nova methodus pro maximis et minimis" ('New method for maximums and minimums')
• 1686: Discours de métaphysique
• 1686: Generales inquisitiones de analysi notionum et veritatum ('General Inquiries About the Analysis of Concepts and of Truths')
• 1694: "De primae philosophiae Emendatione, et de Notione Substantiae" ('On the Correction of First Philosophy and the Notion of Substance')
• 1695: Système nouveau de la nature et de la communication des substances ('New System of Nature')
• 1700: Accessiones historicae
• 1703: "Explication de l'Arithmétique Binaire" ('Explanation of Binary Arithmetic')
• 1704 (publ. 1765): Nouveaux essais sur l'entendement humain
• 1707–1710: Scriptores rerum Brunsvicensium (3 volumes)
• 1710: Théodicée
• 1714: "Principes de la nature et de la Grâce fondés en raison"
• 1714: Monadologie

Posthumous works

• 1717: Collectanea Etymologica, edited by Johann Georg von Eckhart
• 1749: Protogaea
• 1750: Origines Guelficae

Collections

Six important collections of English translations are Wiener (1951), Parkinson (1966), Loemker (1969), Ariew & Garber (1989), Woolhouse & Francks (1998), and Strickland (2006).