Pierre-Simon Laplace

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description: French mathematician and astronomer (1749-1827)

74 results

God Created the Integers: The Mathematical Breakthroughs That Changed History

by Stephen Hawking  · 28 Mar 2007

Jordan Bell. Leonhard Euler’s The Seven Bridges of Konigsberg and Proof that Every Integer is A Sum of Four Squares courtesy of Dover Publications. Pierre Simon Laplace’s A Philosophical Essay on Probabilities, introductory note by E.T. Bell, courtesy of Dover Publications. Selection from Jean Baptiste Joseph Fourier’s The Analytical

The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant From Two Centuries of Controversy

by Sharon Bertsch McGrayne  · 16 May 2011  · 561pp  · 120,899 words

, Maurice P. (1967) The Society of Arcueil; A View of French Science at the Time of Napoleon I. Harvard University Press. Dale, Andrew I. (1995) Pierre-Simon Laplace: Philosophical Essay on Probabilities. Trans. and notes by Dale. Springer-Verlag. ———. (1999) A History of Inverse Probability from Thomas Bayes to Karl Pearson. 2d ed

Regime. And Science and Polity in France: The Revolutionary and Napoleonic Years. Princeton University Press. Gillispie, CC, with Robert Fox and Ivor Grattan-Guinness. (1997) Pierre-Simon Laplace 1749–1827: A Life in Exact Science. Princeton University Press. Greenberg, John. (1986) Mathematical physics in eighteenth-century France. Isis (77) 59–78. Grimaux, Édouard

From eternity to here: the quest for the ultimate theory of time

by Sean M. Carroll  · 15 Jan 2010  · 634pp  · 185,116 words

than the speed of light, rendering the body “black.” Indeed, the idea was occasionally contemplated, including by British geologist John Michell in 1783 and by Pierre-Simon Laplace in 1796.73 At the time, it wasn’t clear whether the idea quite made sense, as nobody knew whether light was even affected by

: I would like to erase the consequences of certain events and restore an initial condition. —Italo Calvino, If on a Winter’s Night a Traveler Pierre-Simon Laplace was a social climber at a time when social climbing was a risky endeavor.102 When the French Revolution broke out, Laplace had established himself

of the universe, and have never even mentioned its Creator.” To which Laplace answered stubbornly, “I had no need of that hypothesis.”103 Figure 31: Pierre-Simon Laplace, mathematician, physicist, swerving politician, and unswerving determinist. One of the central tenets of Laplace’s philosophy was determinism. It was Laplace who truly appreciated the

: the “Principle of Indifference.” It was championed in the context of probability theory, long before statistical mechanics even came on the scene, by our friend Pierre-Simon Laplace. He was a die-hard determinist, but understood as well as anyone that we usually don’t have access to all possible facts, and wanted

. Cambridge: Cambridge University Press, 1983. Novikov, I. D. The River of Time. Cambridge: Cambridge University Press, 1998. O’Connor, J. J., and Robertson, E. F. “Pierre-Simon Laplace.” MacTutor History of Mathematics Archive (1999). http://www-groups.dcs.st-and.ac.uk/~history/Biographies/ Laplace.html. Olum, K. D. “The Doomsday Argument and

Kasner, Edward Kelvin, William Thomson, Lord Kelvin scale Kepler, Johannes Kerr, Roy kinetic energy kinetic theory Kleban, Matthew Kolmogorov complexity Landauer, Rolf Lao Tzu Laplace, Pierre-Simon Laplace’s Demon Large Hadron Collider (LHC) Lavoisier, Antoine Lawrence Berkeley National Laboratory laws of nature laws of physics. See also specific forces and bouncing-universe

Everything Is Predictable: How Bayesian Statistics Explain Our World

by Tom Chivers  · 6 May 2024  · 283pp  · 102,484 words

after Simpson’s 1755 article. It appears to have sunk almost without trace—it was published after Bayes’s death, but was apparently unknown to Pierre-Simon Laplace, the French mathematician who independently arrived at similar conclusions in 1774. Stigler argues that Bayes himself didn’t think all that much of it—he

make inferences—to make statements about what is likely in the world. In the years after Bayes’s death, the great French mathematician and physicist Pierre-Simon Laplace independently arrived at the same conclusions as Bayes, and gave a rather more detailed account of it. Richard Price visited Paris in 1781 and discussed

What We Cannot Know: Explorations at the Edge of Knowledge

by Marcus Du Sautoy  · 18 May 2016

produced equations for non-viscous fluids. At the beginning of the nineteenth century French mathematician Joseph Fourier found equations to describe heat flow. Fellow compatriots Pierre-Simon Laplace and Siméon-Denis Poisson took Newton’s equations to produce more generalized equations for gravitation, which were then seen to control other phenomena like hydrodynamics

controlled by mathematical equations. Scientists believed they had indeed discovered the Theory of Everything. In his Philosophical Essay on Probabilities published in 1812, the mathematician Pierre-Simon Laplace summed up most scientists’ belief in the extraordinary power of mathematics to tell you everything about the physical universe. We may regard the present state

Artificial Intelligence: A Modern Approach

by Stuart Russell and Peter Norvig  · 14 Jul 2019  · 2,466pp  · 668,761 words

probability mass of the model for never-seen n-grams, to reduce the variance of the model. The simplest type of smoothing was suggested by Pierre-Simon Laplace in the 18th century to estimate the probability of rare events, such as the sun failing to rise tomorrow. Laplace’s (incorrect) theory of the

Prince, 1993; Kager, 1999) posited that language works by finding the most probable candidate that optimally satisfies competing constraints. Add-one smoothing, first suggested by Pierre-Simon Laplace (1816), was formalized by Jeffreys (1948). Other smoothing techniques include interpolation smoothing (Jelinek and Mercer, 1980), Witten–Bell smoothing (1991), Good–Turing smoothing (Church and

Everything Is Obvious: *Once You Know the Answer

by Duncan J. Watts  · 28 Mar 2011  · 327pp  · 103,336 words

toward one another and cohere in regular figures, or are repelled from one another and recede.6 A century later, the French mathematician and astronomer Pierre-Simon Laplace pushed Newton’s vision to its logical extreme, claiming in effect that Newtonian mechanics had reduced the prediction of the future—even the future of

Fluke: Chance, Chaos, and Why Everything We Do Matters

by Brian Klaas  · 23 Jan 2024  · 250pp  · 96,870 words

a Birmingham jail, “We are caught in an inescapable network of mutuality, tied in a single garment of destiny.” * * * In 1814, a French polymath named Pierre-Simon Laplace was grappling with the enduring mysteries of such an intertwined existence. Why are we so bad at predicting our futures? Why do events so often

that conundrum, they unleashed rapid advancements in the nascent field of probability, bolstered by titans such as Gerolamo Cardano, the Chevalier de Méré, Jacob Bernoulli, Pierre-Simon Laplace (of Laplace’s demon), and Thomas Bayes (who developed what we now call Bayesian inference or Bayesian statistics). As the mathematical tools grew, a greater

July 2022. “garment of destiny”: Martin Luther King Jr., “Letter from a Birmingham Jail,” 16 April 1963. Laplace’s demon: R. Hahan and R. Hahn, Pierre-Simon Laplace, 1749–1827: A Determined Scientist (Cambridge, MA: Harvard University Press, 2005). “before its eyes”: David P. Feldman, “Newton, Laplace, and Determinism,” in Chaos and Fractals

The Signal and the Noise: Why So Many Predictions Fail-But Some Don't

by Nate Silver  · 31 Aug 2012  · 829pp  · 186,976 words

fate. Predestination was subsumed by a new idea, that of scientific determinism. The idea takes on various forms, but no one took it further than Pierre-Simon Laplace, a French astronomer and mathematician. In 1814, Laplace made the following postulate, which later came to be known as Laplace’s Demon: We may regard

what is today recognized as Bayes’s theorem was developed by a man who was very likely an atheist,28 the French mathematician and astronomer Pierre-Simon Laplace. Laplace, as you may remember from chapter 4, was the poster boy for scientific determinism. He argued that we could predict the universe perfectly—given

General Reader (New York: Macmillan, 1918). 12. Aristotle, Meteorology, translated by E. W. Webster. Internet Classics Archive. http://classics.mit.edu/Aristotle/meteorology.html. 13. Pierre-Simon Laplace, “A Philosophical Essay on Probabilities” (Cosmo Publications, 2007). 14. The uncertainty principle should not be confused with the observer effect, which is the idea that

Inequality of Jupiter and Saturn,” Astronomical Journal, 15, 351 (1895), pp. 113–127. 31. McGrayne, The Theory That Would Not Die, Kindle location 19. 32. Pierre-Simon Laplace, “A Philosophical Essay on Probabilities” (1902), pp. 6–8. 33. Bret Schulte, “How Common Are Cheating Spouses?” U.S. News & World Report, March 27, 2008

Algorithms to Live By: The Computer Science of Human Decisions

by Brian Christian and Tom Griffiths  · 4 Apr 2016  · 523pp  · 143,139 words

—how to distill all the various possible hypotheses into a single specific expectation—would be discovered only a few years later, by the French mathematician Pierre-Simon Laplace. Laplace’s Law Laplace was born in Normandy in 1749, and his father sent him to a Catholic school with the intent that he join

is 2⁄π times the needle’s length divided by the length of the gap. For Buffon, deriving this formula was enough. But in 1812, Pierre-Simon Laplace, one of the heroes of chapter 6, pointed out that this result has another implication: one could estimate the value of π simply by dropping

, we then divide by the sum of these likelihoods. Laplace was born in Normandy: For more details on Laplace’s life and work, see Gillispie, Pierre-Simon Laplace. distilled down to a single estimate: Laplace’s Law is derived by working through the calculation suggested by Bayes—the tricky part is the sum

. Gilboa, Itzhak, and Eitan Zemel. “Nash and Correlated Equilibria: Some Complexity Considerations.” Games and Economic Behavior 1, no. 1 (1989): 80–93. Gillispie, Charles Coulston. Pierre-Simon Laplace, 1749–1827: A Life in Exact Science. Princeton, NJ: Princeton University Press, 2000. Gilmore, Paul C., and Ralph E. Gomory. “A Linear Programming Approach to

knapsack problem Knuth, Donald Koomen, Pete Ladder tournaments Lagrange, Joseph-Louis Lagrangian Relaxation Lai, Tze Leung lancet liver fluke Lange, Rebecca language Lao Tzu Laplace, Pierre-Simon Laplace’s Law Lasso latency lateness, minimizing maximum laundry law enforcement Lawler, Eugene “Gene” “Lawn Tennis Tournaments” (Dodgson) Law of Gross Tonnage Lawrence, Peter A. Lawrence

Radical Uncertainty: Decision-Making for an Unknowable Future

by Mervyn King and John Kay  · 5 Mar 2020  · 807pp  · 154,435 words

Growth: From Microorganisms to Megacities

by Vaclav Smil  · 23 Sep 2019

The Information: A History, a Theory, a Flood

by James Gleick  · 1 Mar 2011  · 855pp  · 178,507 words

Infinite Powers: How Calculus Reveals the Secrets of the Universe

by Steven Strogatz  · 31 Mar 2019  · 407pp  · 116,726 words

The Clockwork Universe: Saac Newto, Royal Society, and the Birth of the Modern WorldI

by Edward Dolnick  · 8 Feb 2011  · 439pp  · 104,154 words

The Evolution of Everything: How New Ideas Emerge

by Matt Ridley  · 395pp  · 116,675 words

The Doomsday Calculation: How an Equation That Predicts the Future Is Transforming Everything We Know About Life and the Universe

by William Poundstone  · 3 Jun 2019  · 283pp  · 81,376 words

The Gene: An Intimate History

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Superforecasting: The Art and Science of Prediction

by Philip Tetlock and Dan Gardner  · 14 Sep 2015  · 317pp  · 100,414 words

Complexity: A Guided Tour

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More Than You Know: Finding Financial Wisdom in Unconventional Places (Updated and Expanded)

by Michael J. Mauboussin  · 1 Jan 2006  · 348pp  · 83,490 words

Being Wrong: Adventures in the Margin of Error

by Kathryn Schulz  · 7 Jun 2010  · 486pp  · 148,485 words

A Demon of Our Own Design: Markets, Hedge Funds, and the Perils of Financial Innovation

by Richard Bookstaber  · 5 Apr 2007  · 289pp  · 113,211 words

Paradox: The Nine Greatest Enigmas in Physics

by Jim Al-Khalili  · 22 Oct 2012  · 208pp  · 70,860 words

Rationality: From AI to Zombies

by Eliezer Yudkowsky  · 11 Mar 2015  · 1,737pp  · 491,616 words

The Book of Why: The New Science of Cause and Effect

by Judea Pearl and Dana Mackenzie  · 1 Mar 2018

The Interstellar Age: Inside the Forty-Year Voyager Mission

by Jim Bell  · 24 Feb 2015  · 310pp  · 89,653 words

Gaming the Vote: Why Elections Aren't Fair (And What We Can Do About It)

by William Poundstone  · 5 Feb 2008

Human Compatible: Artificial Intelligence and the Problem of Control

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The Wisdom of Finance: Discovering Humanity in the World of Risk and Return

by Mihir Desai  · 22 May 2017  · 239pp  · 69,496 words

Engineering Security

by Peter Gutmann

The Perfect Bet: How Science and Math Are Taking the Luck Out of Gambling

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Blueprint: The Evolutionary Origins of a Good Society

by Nicholas A. Christakis  · 26 Mar 2019

Think Complexity

by Allen B. Downey  · 23 Feb 2012  · 247pp  · 43,430 words

The Patterning Instinct: A Cultural History of Humanity's Search for Meaning

by Jeremy Lent  · 22 May 2017  · 789pp  · 207,744 words

Strange New Worlds: The Search for Alien Planets and Life Beyond Our Solar System

by Ray Jayawardhana  · 3 Feb 2011  · 257pp  · 66,480 words

AIQ: How People and Machines Are Smarter Together

by Nick Polson and James Scott  · 14 May 2018  · 301pp  · 85,126 words

The End of Theory: Financial Crises, the Failure of Economics, and the Sweep of Human Interaction

by Richard Bookstaber  · 1 May 2017  · 293pp  · 88,490 words

To Explain the World: The Discovery of Modern Science

by Steven Weinberg  · 17 Feb 2015  · 532pp  · 133,143 words

Automate This: How Algorithms Came to Rule Our World

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Alex's Adventures in Numberland

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Rage Inside the Machine: The Prejudice of Algorithms, and How to Stop the Internet Making Bigots of Us All

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Mr Five Per Cent: The Many Lives of Calouste Gulbenkian, the World's Richest Man

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Catching Stardust: Comets, Asteroids and the Birth of the Solar System

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The Simulation Hypothesis

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Accessory to War: The Unspoken Alliance Between Astrophysics and the Military

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Trees on Mars: Our Obsession With the Future

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Civilization: The West and the Rest

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The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

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Red-Blooded Risk: The Secret History of Wall Street

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The Vanishing Face of Gaia: A Final Warning

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Zero: The Biography of a Dangerous Idea

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Information: A Very Short Introduction

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Computer: A History of the Information Machine

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Incognito: The Secret Lives of the Brain

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Super Thinking: The Big Book of Mental Models

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Being You: A New Science of Consciousness

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This Will Make You Smarter: 150 New Scientific Concepts to Improve Your Thinking

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The Wine-Dark Sea Within: A Turbulent History of Blood

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The Stack: On Software and Sovereignty

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Team of Teams: New Rules of Engagement for a Complex World

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The Beginning of Infinity: Explanations That Transform the World

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