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Gottfried Wilhelm Leibniz: Calculus Notation, Binary System & Monadology

Encyclopedia/1. The Cosmos & The Natural World/1. Mathematics & Formal Systems/14. Mathematical Biographies  •  Curated by Admin Timeline.sg

Timeline of Gottfried Wilhelm Leibniz, German polymath who independently invented calculus and developed the binary number system, covering his life from 1646 to 1716.

Chronological Storyline (36 Milestones)

Jul 1, 1646 CE

Leibniz Born in Leipzig

Gottfried Wilhelm Leibniz was born on July 1, 1646 (Gregorian calendar) in Leipzig, Holy Roman Empire, to a Lutheran father and a mother from a prominent family. #history #philosophy

Leibniz Born in Leipzig
Leibniz Born in Leipzig
By Christoph Bernhard Francke - Herzog Anton Ulrich-Museum, online, Public domain, https://commons.wikimedia.org/w/index.php?curid=53159699
1653 CE

Enters Nicolai School

Leibniz entered the Nicolai School in Leipzig at age seven, where he studied Latin, Greek, and logic. #education #history

1661 CE

Enrolls at University of Leipzig

Leibniz enrolled at the University of Leipzig at age 14, studying philosophy, mathematics, and law. #education #history

1663 CE

Bachelor's Degree in Philosophy

Leibniz earned his bachelor's degree in philosophy from the University of Leipzig after defending his thesis 'De principio individui'. #philosophy #education

1664 CE

Master's Degree in Philosophy

Leibniz obtained his master's degree in philosophy, furthering his studies in logic and metaphysics. #philosophy #education

1666 CE

Doctorate in Law and De Arte Combinatoria

Leibniz received his doctorate in law from the University of Altdorf and published 'De Arte Combinatoria', a work on combinatorial logic. #philosophy #mathematics #history

1667 CE

Enters Service of Elector of Mainz

Leibniz declined a professorship and became a diplomat and adviser to Johann Philipp von Schönborn, the Elector of Mainz. #history

1668 CE

Writes on Natural Law

Leibniz wrote his first legal-philosophical works, including 'De Usu Doctrinae ab Arte Combinatoria in Rebus Civilibus'. #philosophy #law #history

1671 CE

Publishes Hypothesis Physica Nova

Leibniz published 'Hypothesis Physica Nova', proposing a new physical theory based on motion and his early view of dynamics. #physics #philosophy #history

1672 CE

Diplomatic Mission to Paris

Leibniz traveled to Paris on a diplomatic mission for the Elector of Mainz, where he met mathematicians like Christiaan Huygens and began advanced study of mathematics. #mathematics #history

1673 CE

Demonstrates Calculating Machine to Royal Society

Leibniz visited London and demonstrated his stepped reckoner calculating machine to the Royal Society, which elected him a member. #mathematics #invention #history

Demonstrates Calculating Machine to Royal Society
Demonstrates Calculating Machine to Royal Society
By User:Kolossos - recorded by me in de:Technische Sammlungen der Stadt Dresden (with photo permission), CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=925505
1673 CE

Elected to Royal Society

Leibniz was elected a Fellow of the Royal Society in recognition of his calculating machine and mathematical interests. #science #history

1674 CE

Begins Work on Stepped Reckoner

Leibniz began designing and building the stepped reckoner, a mechanical calculator capable of all four arithmetic operations. #mathematics #invention

1675 CE

Invents Calculus Notation (dx, dy)

Leibniz developed the differential and integral calculus notation (dx, dy, ∫) that is still used today, based on his work on infinite series. #mathematics #calculus

Invents Calculus Notation (dx, dy)
Invents Calculus Notation (dx, dy)
By Andrew Gray — original photos, Alexey Gomankov — collage - 1 and 2, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=51521808
1676 CE

First Correspondence with Newton

Leibniz began corresponding with Isaac Newton via letters, sharing mathematical ideas that later became part of the calculus priority dispute. #mathematics #history

1676 CE

Moves to Hanover as Librarian and Historian

Leibniz took up a position as librarian and historian for the House of Brunswick in Hanover, a role he held until his death. #history

1679 CE

Work on Binary Arithmetic

Leibniz began developing the binary number system, building on earlier ideas, as part of his search for a universal language. #mathematics #computing #history

1682 CE

Co-founds Acta Eruditorum

Leibniz co-founded the scientific journal 'Acta Eruditorum' in Leipzig, which became a major platform for the dissemination of his and others' work. #science #history

Co-founds Acta Eruditorum
Co-founds Acta Eruditorum
By Unknown author - Available in the BEIC digital library and uploaded in partnership with BEIC Foundation., Public domain, https://commons.wikimedia.org/w/index.php?curid=72347333
1684 CE

Publishes First Calculus Paper 'Nova Methodus'

Leibniz published 'Nova Methodus pro Maximis et Minimis' in Acta Eruditorum, the first paper on differential calculus, introducing his notation. #mathematics #calculus

1685 CE

Begins History of the House of Brunswick

Leibniz started his monumental task of writing a history of the House of Brunswick, which involved extensive archival research. #history

1686 CE

Publishes 'Discourse on Metaphysics'

Leibniz wrote 'Discourse on Metaphysics', outlining his philosophical system including the principle of sufficient reason and the concept of monads. #philosophy

Publishes 'Discourse on Metaphysics'
Publishes 'Discourse on Metaphysics'
By Minscensus - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=57545027
1690 CE

Work on Integral Calculus

Leibniz continued developing integral calculus, publishing important results and corresponding with the Bernoulli brothers. #mathematics #calculus

1693 CE

Publishes 'Protogaea'

Leibniz published 'Protogaea', a work on geology and paleontology, discussing the formation of the Earth and fossilized remains. #science #geology

Publishes 'Protogaea'
Publishes 'Protogaea'
By Gottfried Wilhelm Leibniz (author) - *GC6.L5316.749p, Houghton Library, Harvard University, Public domain, https://commons.wikimedia.org/w/index.php?curid=34673623
1695 CE

Publishes 'Specimen Dynamicum'

Leibniz published 'Specimen Dynamicum', presenting his new theory of dynamics and the concept of vis viva (living force). #physics #philosophy

1696 CE

Correspondence with Johann Bernoulli

Leibniz engaged in extensive correspondence with Johann Bernoulli on calculus, sharing and refining methods. #mathematics #history

1700 CE

First President of Berlin Academy of Sciences

Leibniz was appointed the first president of the newly founded Berlin Academy of Sciences, playing a key role in its establishment. #science #history

First President of Berlin Academy of Sciences
First President of Berlin Academy of Sciences
By Andreas Praefcke - Own work, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=4008369
1701 CE

Writes on Philosophy of Mind

Leibniz prepared writings on the philosophy of mind, including his critique of materialism and his concept of petites perceptions. #philosophy

1703 CE

Publishes 'Explication de l'Arithmétique Binaire'

Leibniz published his paper 'Explication de l'Arithmétique Binaire' in the Memoirs of the French Academy, explaining the binary number system. #mathematics #computing

1704 CE

Newton's Opticks Published, Calculus Dispute Intensifies

The publication of Newton's 'Opticks' with an appendix on calculus led to renewed accusations against Leibniz of plagiarism. #mathematics #history

1705 CE

Publishes 'New Essays on Human Understanding'

Leibniz completed 'New Essays on Human Understanding', a detailed critique of John Locke's 'Essay Concerning Human Understanding'. #philosophy

1710 CE

Publishes 'Theodicy'

Leibniz published 'Theodicy', his major work on the problem of evil, arguing that this is the best of all possible worlds. #philosophy #religion

Publishes 'Theodicy'
Publishes 'Theodicy'
By Christoph Bernhard Francke - Herzog Anton Ulrich-Museum Braunschweig, Public domain, https://commons.wikimedia.org/w/index.php?curid=57268659
1712 CE

Review of Newton's Work Leads to Royal Commission

The calculus priority dispute escalated, leading to a review by the Royal Society which eventually sided with Newton. #mathematics #history

1713 CE

Accused by Newton's Disciples

Newton's disciples publicly accused Leibniz of plagiarism, a charge that damaged his reputation despite later vindication. #mathematics #history

1714 CE

Publishes 'Monadology'

Leibniz wrote the 'Monadology', a concise exposition of his metaphysical system based on monads, pre-established harmony, and the principle of sufficient reason. #philosophy

Publishes 'Monadology'
Publishes 'Monadology'
By Unknown author, Public domain, https://commons.wikimedia.org/w/index.php?curid=750850
1714 CE

Publishes 'Principles of Nature and Grace'

Leibniz published 'Principles of Nature and Grace, Based on Reason', summarizing his philosophical system for a general audience. #philosophy

Nov 14, 1716 CE

Death of Leibniz in Hanover

Gottfried Wilhelm Leibniz died on November 14, 1716 in Hanover, largely neglected at the time but later recognized as one of the greatest polymaths. #history #philosophy