Fuente: Revista Litoral, Números 191-192. Colección Unesco de obras representativas. Emilio Prados y Manuel Altolaguirre, 1991, pág.152
Pierre Simon Laplace:
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Frases célebres de Pierre Simon Laplace
Fuente: Citado en: The Fascination of Physics de Jacqueline D. Spears y Dean Zollman (1986)
“Lo que sabemos es poco. Lo que no sabemos es inmenso.”
Original: «Ce que nous connaissons est peu de chose; ce que nous ignorons est immense».
Variante: «Es poco lo que sabemos; es mucho lo que ignoramos».
Fuente: Citado en: Anales de la Universidad, Republica Oriental del Uruguay, Volumen 5. Escuela Nacional de Artes y Oficios, 1893. Pág. 322
Fuente: Se dice que pronunció estas palabras poco antes de morir. Astronomía: De Galileo a los telescopios espaciales http://books.google.es/books?id=4iTRIW0XRLUC&pg=PA78. Rafael Bachiller. CSIC, 2009. ISBN 8400089162, pág. 78
“¡Lo último que esperábamos de usted, general, es una lección de geometría!”
Laplace a Napoleón, después de que éste le había informado sobre algunos resultados de la nueva geometría elemental.
Variante: «General, podíamos esperar cualquier cosa de vos menos lecciones de geometría».
Fuente: Una Historia de las MatemÁticas: Retos y conquistas a través de sus personajes http://books.google.es/books?id=4YOfMzU5bCUC&pg=PA319. Miguel A. Pérez. Editorial Visión Libros. ISBN : 8498863856, pág. 319
“Leed a Euler, leed a Euler, él es el maestro de todos nosotros.”
Variante: «Leed Euler: él es nuestro maestro en todo».
Fuente: Gugliemo Libri, Journal des Savants, enero de 1846, pág. 51:
Pierre Simon Laplace Frases y Citas
Fuente: Exposición del sistema del mundo http://books.google.es/books?id=5jqdYvxt-s0C&pg=PA535. Pierre-Simon Laplace. Editorial Critica, 2006. ISBN 8484326810, pág. 534-535
“[No, señor, ], yo no tuve necesidad de esa hipótesis.”
Famosa respuesta al emperador Napoleón I, que había preguntado por qué no había mencionado a Dios en su discurso sobre las variaciones seculares de las órbitas de Saturno y Júpiter («Mais où est Dieu dans tout cela?». / «Pero ¿dónde está Dios en todo esto?»).
El diálogo fue referido por Víctor Hugo (que a su vez estaba citando a Arago)
Napoleón: «¿Cómo explicáis todo el sistema del mundo, dáis las leyes de toda la creación y en todo vuestro libro no habláis una sola vez de la existencia de Dios?».
Laplace: «... no tuve necesidad de tal hipótesis».
Lagrange, también presente (o a quien Napoleón refirió más tarde la respuesta de Laplace, según otra versión), comentó luego: «¡Ah, esa es una bella hipótesis, que explica muchas cosas».
Original: «[Sire,] je n'ai pas eu besoin de cette hypothèse».
Fuente: A Budget of Paradoxes, De Morgan, Augustus (Enero de 1872). Sophia Elizabeth De Morgan (ed). Londres: Longmans, Green, and Co. Citado en http://www-history.mcs.st-andrews.ac.uk/~history/Quotations/Laplace.html, consultado el 13 de febrero de 2006.
Fuente: http://www.math.unicaen.fr/~reyssat/laplace/
Fuente: Les représentations de Dieu (chassé-croissé); perspective scientifique http://www.origano.com/gal/trs/chcc/chcc_0f.htm
Fuente: Pierre-Simon Laplace http://www.math.unicaen.fr/~reyssat/laplace/. Eric Reyssat. Universidad de Caen.
“La naturaleza se ríe de las dificultades de integración.”
Fuente: Citado en: I. Gordon S. y Sorkin, The Armchair Science Reader, Nueva York, 1959.
Pierre Simon Laplace: Frases en inglés
Pierre-Simon Laplace
libro
Philosophical Essay on Probabilities
Philosophical Essay on Probabilities (1902)
Contexto: 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
“Life's most important questions are, for the most part, nothing but probability problems.”
citation needed
"Les questions les plus importantes de la vie ne sont en effet, pour la plupart, que des problèmes de probabilité."
“Given for one instant an intelligence which could comprehend all the forces”
Pierre-Simon Laplace
libro
Philosophical Essay on Probabilities
Philosophical Essay on Probabilities (1902)
Contexto: 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
libro
Philosophical Essay on Probabilities
Philosophical Essay on Probabilities (1902)
Contexto: 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
Pierre-Simon Laplace
libro
Philosophical Essay on Probabilities
Philosophical Essay on Probabilities (1902), p.3
Quoted in H Eves Return to Mathematical Circles (Boston 1988). http://www-groups.dcs.st-and.ac.uk/history/Quotations/Laplace.html
“"The last thing we expect of you, General, is a lesson in geometry!"”
"La dernière chose que nous attendions de vous, Général, est une leçon de géométrie !"
Laplace to Napoléon, after the latter had reported on some new elementary geometry results[citation needed]
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"".
“The most important questions of life… are indeed for the most part only problems of probability.”
Pierre-Simon Laplace
libro
Philosophical Essay on Probabilities
Philosophical Essay on Probabilities (1902)
Contexto: 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
Pierre-Simon Laplace
libro
Philosophical Essay on Probabilities
p, 125
Philosophical Essay on Probabilities (1902)
Pierre-Simon Laplace
libro
Philosophical Essay on Probabilities
p, 125
Philosophical Essay on Probabilities (1902)
“"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.
“Nature laughs at the difficulties of integration.”
Quoted in I. Gordon and S. Sorkin, The Armchair Science Reader, New York, 1959.
“What we know is not much. What we do not know is immense.”
"Ce que nous connaissons est peu de chose, ce que nous ignorons est 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).
"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."
From the Introduction to Théorie Analytique des Probabilités http://visualiseur.bnf.fr/Visualiseur?Destination=Gallica&O=NUMM-88764, 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."
