Jacob Bernoulli

Also known as James Bernoulli

Swiss mathematician (1655-1705)

AI overview

Jacob Bernoulli was a Swiss mathematician who lived from 1655 to 1705 and made important contributions to early calculus and probability theory. His work helped establish foundational mathematical concepts that influenced the development of modern mathematics and scientific thinking.

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Person · Open Library

Born: 1654
Died: 1705
Works: 40

Top works

Die Streitschriften von Jacob und Johann Bernoulli
Jacobi Bernoulli Profess. Basil. & utriusque Societ. Reg. Scientiar. Gall. & Pruss. Sodal. mathematici celeberrimi, Ars conjectandi
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Iacobi Bernoulli Conamen novi systematis cometarum
Positiones mathematicae de rationibvs et proportionibvs

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Type: Person

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Recent publications · Crossref

5 total works indexed

A power primer.
· 1992 · cited 41,129x
SciPy 1.0: fundamental algorithms for scientific computing in Python
· 2020 · cited 34,745x
A Coefficient of Agreement for Nominal Scales
· 1960 · cited 31,244x
A global reference for human genetic variation
· 2015 · cited 17,413x
Statistical Power Analysis for the Behavioral Sciences
· 2013 · cited 15,847x

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Quotes

“[P]robability as a measurable degree of certainty; necessity and chance; moral versus mathematical expectation; a priori an a posteriori probability; expectation of winning when players are divided according to dexterity; regard of all available arguments, their valuation, and their calculable evaluation; law of large numbers...”
“The art of measuring, as precisely as possible, probabilities of things, with the goal that we would be able always to choose or follow in our judgments and actions that course, which will have been determined to be better, more satisfactory, safer or more advantageous.”
“Eadem mutata resurgo [Changed and yet the same, I rise again]”
“[H]e was soon seconded by two illustrious men, who adopted his method with such ardour, rendered it so completely their own, and made so many elegant applications of it that Leibnitz several times published in the journals, with a disinterestedness worthy of so great a man, that it was as much indebted to them as to himself. ...I am speaking of the two brothers James and John Bernoulli.”

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Wikidata facts

Image: Jakob Bernoulli.jpg

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Commons category: Jakob Bernoulli
date of birth: 1654-12-27
date of death: 1705-08-16
name in native language: Jakob Bernoulli
P8168: Gábor Tompa

Sources (4)

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Article

Jacob Bernoulli (also known as James in English or Jacques in French; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was a Swiss mathematician. He sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy and was an early proponent of Leibnizian calculus, to which he made numerous contributions. A member of the Bernoulli family, he, along with his brother Johann, was one of the founders of the calculus of variations. He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work Ars Conjectandi.

Biography