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Pierre-Simon Laplace
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French mathematician and astronomer whose Theorie analytique des probabilites (1812) and five-volume Traite de mecanique celeste (1799-1825) made him, alongside Newton, one of the two figures most identified with the idea that the universe runs on deterministic mathematical laws. Working independently of, and initially unaware of, Thomas Bayes' posthumously published essay, Laplace derived what is now called Bayes' theorem in a more general form in 1774, and in 1810 proved a substantially generalized version of the central limit theorem beyond de Moivre's 1733 special case for coin-flip-type trials. He briefly served as Napoleon's Minister of the Interior in 1799, for a term of about six weeks, and was later made a count under the Empire and a marquis under the Bourbon restoration.
Facts
BirthplaceBeaumont-en-Auge, Normandy, France 1 Nationality / Culture Defining ContributionIndependent, more general 1774 derivation of Bayes' theorem; substantial 1810 generalization of the central limit theorem; celestial mechanics and probability theory. 2 Notable WorkTheorie analytique des probabilites (1812); Traite de mecanique celeste (1799-1825) 1 Learn More
Completing What Bayes Began
This article records tradition as it has been passed down and reported. Its sources are not yet part of the atlas's verified catalogue.
Pierre-Simon Laplace is a case study in how much of mathematics gets credited to whoever generalizes an idea rather than whoever finds it first. In 1774, working in France with no knowledge of an obscure essay an English minister, Thomas Bayes, had left unpublished at the time of his death thirteen years earlier, in 1761, Laplace derived a broader and more useful version of what the world now calls Bayes' theorem. He did the same thing twice more before his career was over: in 1812, in Theorie analytique des probabilites, he proved a substantially more general form of the central limit theorem than de Moivre's 1733 special case had reached, and across five volumes of Mecanique Celeste, the first two published in 1799, he rebuilt Newtonian astronomy on more secure mathematical footing, closing gaps that had worried astronomers for a century. He was not a modest man about any of this; he considered himself the best mathematician in France, and he was politically flexible enough to serve, briefly, as Napoleon's Minister of the Interior for six weeks before ending his life a marquis, a title granted in 1817 after the restoration of the monarchy Napoleon had displaced. What outlasted the politics was the mathematics: two of the eighteenth century's most durable results, in probability, both bear the fingerprints of a mind that specialized in taking someone else's good idea and making it work in general.
No Need of That Hypothesis
This article records tradition as it has been passed down and reported. Its sources are not yet part of the atlas's verified catalogue.
The line is one of the most quoted in the history of science: Napoleon, reportedly leafing through Laplace's Mecanique Celeste, asked why God appeared nowhere in an account of how the solar system holds together, and Laplace answered that he had no need of that hypothesis. It is a good story and a plausible one; it fits everything else known about Laplace's method, which treated a cause as something to be established by evidence rather than assumed for comfort, most famously in the probability calculus he built to formalize exactly that kind of reasoning about causes from effects. But the anecdote comes down through secondhand retellings by contemporaries, not through anything Laplace wrote in his own hand, so its precise wording cannot be checked against a primary source. What can be checked is the substance behind it: Laplace had in fact shown, across decades of work, that the wobbles and near-instabilities in planetary orbits that earlier astronomers worried might require divine correction were self-correcting on strictly mechanical grounds. Whatever he actually said to Napoleon, that was the argument he had already made in print, at length, without needing a punchline to make the point.
Cross-Tradition Connections
Associated With
Proofs Credited
Derived the theorem independently, in a more general form, in 1774, unaware of Bayes' 1763 posthumous essay.
Proved a substantially generalized version of the theorem in 1810, beyond de Moivre's 1733 binomial special case; Lyapunov gave the first fully rigorous general conditions in 1901.
Sources
1. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statistics
2. Encyclopaedia Britannica, Mathematics
Encyclopaedia Britannica, Inc.
Pierre-Simon Laplace, Biography (MacTutor History of Mathematics)
MacTutor History of Mathematics Archive, University of St AndrewsAssociated With: Probability and Statistics, https://mathshistory.st-andrews.ac.uk/Biographies/Laplace/Quote, Associated With: Probability and Statistics, https://mathshistory.st-andrews.ac.uk/Biographies/Laplace/
put the theory of mathematical probability on a sound footing
View the Source Bayes' Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Bayes' Theorem, History sectionQuote, Proofs Credited: Bayes' Theorem, History section
Independently of Bayes, Pierre-Simon Laplace used conditional probability to formulate the relation of an updated posterior probability. He reproduced and extended Bayes's results in 1774
View the Source Central Limit Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Central Limit Theorem, History sectionQuote, Proofs Credited: Central Limit Theorem, History section
The earliest version of this theorem, that the normal distribution may be used as an approximation to the binomial distribution, is the de Moivre-Laplace theorem.
View the Source Frequently Asked Questions
Did Laplace really tell Napoleon he had no need of God as a hypothesis?
A widely reported secondhand anecdote, consistent with Laplace's own stated scientific method, but not verifiable against Laplace's own writing.
The exchange is widely quoted: asked by Napoleon why his Mecanique Celeste made no mention of God, Laplace is reported to have replied "Je n'avais pas besoin de cette hypothese-la," I had no need of that hypothesis. The anecdote comes from a secondhand account (Laplace's contemporary the astronomer Francois Arago is one of the earliest sources to record it) rather than from Laplace's own writing, so its exact wording cannot be verified against a primary document in Laplace's hand. It is consistent with Laplace's own explicit position, stated in his actual published work, that physical explanations should not invoke causes beyond what the evidence requires.
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