Sunday, May 5, 2024

Laplace is regarded as one of the greatest scientists of all time. Sometimes referred to as the French Newton or Newton of France, he has been described as possessing a phenomenal natural mathematical faculty superior to that of almost all of his contemporaries.[4] He was Napoleon's examiner when Napoleon graduated from the École Militaire in Paris in 1785.[5] Laplace became a count of the Empire in 1806 and was named a marquis in 1817, after the Bourbon Restoration.

Laplace is regarded as one of the greatest scientists of all time. Sometimes referred to as the French Newton or Newton of France, he has been described as possessing a phenomenal natural mathematical faculty superior to that of almost all of his contemporaries.[4] He was Napoleon's examiner when Napoleon graduated from the École Militaire in Paris in 1785.[5] Laplace became a count of the Empire in 1806 and was named a marquis in 1817, after the Bourbon Restoration.

Pierre-Simon Laplace (23 March 1749 – 5 March 1827) was a French mathematician and astronomer, discoverer of the Laplace transform and Laplace's equation. I had no need of that hypothesis. Quotes edit "On voit, par cet Essai, que la théorie des probabilités n'est, au fond, que le bon sens réduit au calcul; elle fait apprécier avec exactitude ce que les esprits justes sentent par une sorte d'instinct, sans qu'ils puissent souvent s'en rendre compte." Translation: "One sees, from this Essay, that the theory of probabilities is basically just common sense reduced to calculus; it makes one appreciate with exactness that which accurate minds feel with a sort of instinct, often without being able to account for it." From the Introduction to Théorie Analytique des Probabilités, second and later editions; also published separately as Essai philosophique sur les Probabilités (1814). Œuvres complètes de Laplace, tome VII, p. cliii, Paris: Gauthier-Villars, 1878-1912. Also reported as: "The theory of probabilities is at bottom nothing but common sense reduced to calculus; it enables us to appreciate with exactness that which accurate minds feel with a sort of instinct for which ofttimes they are unable to account." Or as: "Probability theory is nothing but common sense reduced to calculation." Said the great and magnanimous Laplace: 'It is India that gave us the ingenious method of expressing all numbers by ten symbols, each receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity, the great ease which it has lent to all computations, puts our arithmetic in the first rank of useful inventions; and we shall appreciate the grandeur of this achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity.' Pierre-Simon Laplace, as quoted in Will Durant, Our Oriental Heritage : India and Her Neighbors. "Les questions les plus importantes de la vie ne sont en effet, pour la plupart, que des problèmes de probabilité." Translation: "Life's most important questions are, for the most part, nothing but probability problems."[citation needed] "La dernière chose que nous attendions de vous, Général, est une leçon de géométrie !" Translation: "The last thing we expect of you, General, is a lesson in geometry!" Laplace to Napoléon, after the latter had reported on some new elementary geometry results[citation needed] "Ce que nous connaissons est peu de chose, ce que nous ignorons est immense." Translation: "What we know is not much. What we do not know is immense." Allegedly his last words, reported in Joseph Fourier's "Éloge historique de M. le Marquis de Laplace" (1829) with the comment, "This was at least the meaning of his last words, which were articulated with difficulty." Quoted in Augustus De Morgan's Budget of Paradoxes (1866). "L'homme ne poursuit que des chimères." Translation: "Man follows only phantoms." His true last words, according to Augustus De Morgan's Budget of Paradoxes (1866). Compare Edmund Burke's famous remark, after a parliamentary candidate's sudden death, about "what shadows we are, and what shadows we pursue". "Lisez Euler, lisez Euler, c'est notre maître à tous." Translation: "Read Euler, read Euler, he is the master of us all." (Sometimes freely translated as: "Read Euler: he is our master in everything.") Reported by Gugliemo Libri in the Journal des Savants, January 1846, p. 51: « ...ces paroles mémorables que nous avons entendues de sa propre bouche : "Lisez Euler, lisez Euler, c'est notre maître à tous". » "Nature laughs at the difficulties of integration." Quoted in I. Gordon and S. Sorkin, The Armchair Science Reader, New York, 1959. "Il est facile de voir que..." Translation: "It is therefore obvious that..." Frequently used in the Traité de mécanique céleste when he had proved something and mislaid the proof, or found it clumsy. Notorious as a signal for something true, but hard to prove. It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit.But its very simplicity and the great ease which it has lent to computations put our arithmetic in the first rank of useful inventions; and we shall appreciate the grandeur of the achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity. Quoted in H Eves Return to Mathematical Circles (Boston 1988).[1] On demandait à Laplace quel était selon lui le plus grand mathématicien de l'Allemagne. C'est Pfaff, répondit-il. - Je croyais, reprit l'interlocuteur, que Gauss lui était supérieur. - Mais, s'écria Laplace, vous me demandez quel est le plus grand mathématicien de l'Allemagne, et Gauss est le plus grand mathématicien de l'Europe. They asked Laplace who, in his opinion, was the greatest mathematician of Germany. "It's Pfaff," he answered. - "I thought," the questioner replied, "that Gauss was superior to him." - "But," exclaimed Laplace, "you're asking me who is the greatest mathematician of Germany, and Gauss is the greatest mathematician of Europe." Quoted in Nouvelle Biographie Générale, volume 19, page 686.[2] Philosophical Essay on Probabilities (1902) edit source, translated by Frederick Wilson Truscott from Théorie Analytique des Probabilités (originally published 1812) 6th ed. Ch. 1 Introduction The most important questions of life... are indeed for the most part only problems of probability. Strictly speaking it may even be said that nearly all our knowledge is problematical; and in the small number of things which we are able to know with certainty, even in the mathematical sciences themselves, the principal means for ascertaining truth—induction and analogy—are based on probabilities. Ch. 2 Concerning Probability Imaginary causes have gradually receded with the widening bounds of knowledge and disappear entirely before sound philosophy, which sees in them only the expression of our ignorance of the true causes. Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective situation of the beings who compose it—an intelligence sufficiently vast to submit these data to analysis—it would embrace in the same formula the movements of the greatest bodies of the universe and those of the lightest atom; for it, nothing would be uncertain and the future, as the past, would be present to its eyes. The human mind offers, in the perfection which it has been able to give to astronomy, a feeble idea of this intelligence. Its discoveries in mechanics and geometry, added to that of universal gravity, have enabled it to comprehend in the same analytical expressions the past and future states of the system of the world. All these efforts in the search for truth tend to lead it [the human mind] back continually to the vast intelligence... but from which it will always remain infinitely removed. This tendency peculiar to the human race is that which renders it superior... and their progress in this respect distinguishes nations and ages and constitutes their true glory. Let us recall that formerly, and at no remote epoch... all the unusual phenomena were regarded as so many signs of celestial wrath. The theory of chance consists in reducing all the events of the same kind to a certain number of cases equally possible, that is to say, to such as we may be equally undecided about in regard to their existence, and in determining the number of cases favorable to the event whose probability is sought. It is to the influence of the opinion of those whom the multitude [the populous] judges best informed, and to whom it has been accustomed to give its confidence in regard to the most important matters of life, that the propagation of those errors is due, which in times of ignorance, have covered the face of the earth. Magic and astrology offer us two great examples. These errors... having for a basis only universal credence, have maintained themselves during a very long time; but at last the progress of science has destroyed them in the minds of enlightened men, whose opinion consequently has caused them to disappear... through the power of imitation and habit which had so generally spread them... This power, the richest resource of the moral world, establishes and conserves in a whole nation ideas entirely contrary to those... elsewhere... What indulgence ought we not then to have for opinions different from ours, when this difference often depends only upon the various points of view where circumstances have placed us! Let us enlighten those whom we judge insufficiently instructed; but first let us examine critically our own opinions, and weigh with impartiality, their respective probabilities. Quotes about Laplace See also

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