Frases de Pierre Simon Laplace

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Pierre Simon Laplace

Data de nascimento: 23. Março 1749
Data de falecimento: 5. Março 1827

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Pierre Simon Marquis de Laplace foi um matemático, astrônomo e físico francês que organizou a astronomia matemática, resumindo e ampliando o trabalho de seus predecessores nos cinco volumes do seu Mécanique Céleste . Esta obra-prima traduziu o estudo geométrico da mecânica clássica usada por Isaac Newton para um estudo baseado em cálculo, conhecido como mecânica física. Foi eleito membro da Royal Society em 1789.

Ele também formulou a equação de Laplace. A transformada de Laplace aparece em todos os ramos da física matemática — campo em que teve um papel principal na formação. O operador diferencial de Laplace, da qual depende muito a matemática aplicada, também recebe seu nome.

Ele se tornou conde do Império em 1806 e foi nomeado marquês em 1817, depois da restauração dos Bourbons.

Citações Pierre Simon Laplace

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„Given for one instant an intelligence which could comprehend all the forces“

— Pierre-Simon Laplace
Context: 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.<!--p.4

„All these efforts in the search for truth tend to lead it“

— Pierre-Simon Laplace
Context: 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.<!--pp.4-5

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„The theory of chance consists in reducing all the events of the same kind to a certain number of cases equally possible“

— Pierre-Simon Laplace
Context: 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.<!--p.6

„Imaginary causes have gradually receded with the widening bounds of knowledge“

— Pierre-Simon Laplace
Context: 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.<!--p.3

„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."“

— Pierre-Simon Laplace
From the Introduction to [http://visualiseur.bnf.fr/Visualiseur?Destination=Gallica&O=NUMM-88764 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."<!--- http://www-groups.dcs.st-and.ac.uk/~history/Quotations/Laplace.html ---> Or as: "Probability theory is nothing but common sense reduced to calculation."

„The most important questions of life... are indeed for the most part only problems of probability.“

— Pierre-Simon Laplace
Context: 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.<!--p.1

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„Translation: "It is therefore obvious that..."“

— Pierre-Simon Laplace
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.

„Translation: "Read Euler, read Euler, he is the master of us all." (Sometimes freely translated as: "Read Euler: he is our master in everything.")“

— Pierre-Simon Laplace
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". »

„Translation: "Man follows only phantoms."“

— Pierre-Simon Laplace
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".

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