Celebrating 19 Years on the Web
TODAY IN SCIENCE HISTORY ®
Find science on or your birthday

Today in Science History - Quickie Quiz
Who said: “I was going to record talking... the foil was put on; I then shouted 'Mary had a little lamb',... and the machine reproduced it perfectly.”
more quiz questions >>
Home > Dictionary of Science Quotations > Scientist Names Index B > Joseph Bertrand Quotes

Thumbnail of Joseph Bertrand (source)
Joseph Bertrand
(11 Mar 1822 - 5 Apr 1900)

French mathematician and educator.


Science Quotes by Joseph Bertrand (3 quotes)

How dare we speak of the laws of chance? Is not chance the antithesis of all law?
— Joseph Bertrand
At the beginning of Calcul des probabilités. Quoted in Henry Poincaré, 'Chance,' essay, in James Roy Newman, The World of Mathematics (2000), Vol. 2, 1380.
Science quotes on:  |  All (4108)  |  Antithesis (7)  |  Chance (239)  |  Dare (50)  |  Law (894)  |  Speak (232)

The first successes were such that one might suppose all the difficulties of science overcome in advance, and believe that the mathematician, without being longer occupied in the elaboration of pure mathematics, could turn his thoughts exclusively to the study of natural laws.
— Joseph Bertrand
From Preface to Traité de calcul différentiel et de calcul intégral (1864-70), i. Quoted in address to the section of Algebra and Analysis, International Congress of Arts and Sciences, St. Louis (22 Sep 1904), 'On the Development of Mathematical Analysis and its Relation to Certain Other Sciences,' as translated by M.W. Haskell in Bulletin of the American Mathematical Society (May 1905), 11, 408.
Science quotes on:  |  Advance (280)  |  All (4108)  |  Being (1278)  |  Belief (578)  |  Difficulty (196)  |  Elaboration (11)  |  Exclusively (10)  |  First (1283)  |  Law (894)  |  Mathematician (387)  |  Mathematics (1328)  |  Natural (796)  |  Natural Law (41)  |  Occupied (45)  |  Occupy (26)  |  Overcome (39)  |  Pure (291)  |  Pure Mathematics (67)  |  Science (3879)  |  Study (653)  |  Success (302)  |  Suppose (156)  |  Thought (953)  |  Turn (447)

The roulette wheel has neither conscience nor memory.
— Joseph Bertrand
As quoted, without citation, in Émile Borel, Probabilities and Life (1962), 13.
Science quotes on:  |  Chance (239)  |  Conscience (50)  |  Gambling (2)  |  Memory (134)  |  Roulette (2)  |  Wheel (50)



Quotes by others about Joseph Bertrand (3)

Men of science belong to two different types—the logical and the intuitive. Science owes its progress to both forms of minds. Mathematics, although a purely logical structure, nevertheless makes use of intuition. Among the mathematicians there are intuitives and logicians, analysts and geometricians. Hermite and Weierstrass were intuitives. Riemann and Bertrand, logicians. The discoveries of intuition have always to be developed by logic.
In Man the Unknown (1935), 123.
Science quotes on:  |  Analyst (8)  |  Belong (162)  |  Both (493)  |  Develop (268)  |  Different (577)  |  Discovery (780)  |  Form (959)  |  Geometrician (6)  |  Charles Hermite (10)  |  Intuition (75)  |  Intuitive (14)  |  Logic (287)  |  Logician (17)  |  Mathematician (387)  |  Mathematics (1328)  |  Men Of Science (143)  |  Mind (1338)  |  Nevertheless (90)  |  Owe (71)  |  Progress (465)  |  Pure (291)  |  Purely (109)  |  Bernhard Riemann (7)  |  Science (3879)  |  Structure (344)  |  Two (937)  |  Type (167)  |  Use (766)  |  Karl Weierstrass (9)

While speaking, M. Bertrand is always in motion; now he seems in combat with some outside enemy, now he outlines with a gesture of the hand the figures he studies. Plainly he sees and he is eager to paint, this is why he calls gesture to his aid. With M. Hermite, it is just the opposite; his eyes seem to shun contact with the world; it is not without, it is within he seeks the vision of truth.
From La Valeur de la Science (1904), 14, as translated by George Bruce Halsted (trans.), in The Value of Science (1907), 16. From the French, “Tout en parlant, M. Bertrand est toujours en action; tantôt il semble aux prises avec quelque ennemi extérieur, tantôt il dessine d'un geste de la main les figures qu’il étudie. Évidemment, il voit et il cherche à peindre, c’est pour cela qu’il appelle le geste à son secours. Pour M. Hermite, c’est tout le contraire; ses yeux semblent fuir le contact du monde; ce n’est pas au dehors, c’est au dedans qu’il cherche la vision de la vérité.”
Science quotes on:  |  Aid (97)  |  Call (769)  |  Combat (15)  |  Contact (65)  |  Eager (15)  |  Enemy (82)  |  Eye (419)  |  Figure (160)  |  Gesture (4)  |  Hand (143)  |  Charles Hermite (10)  |  Inside (26)  |  Motion (310)  |  Opposite (104)  |  Outline (11)  |  Outside (141)  |  Paint (22)  |  See (1081)  |  Seek (213)  |  Shun (4)  |  Speak (232)  |  Speaking (119)  |  Study (653)  |  Truth (1057)  |  Vision (123)  |  Why (491)  |  World (1774)

Bertrand, Darboux, and Glaisher have compared Cayley to Euler, alike for his range, his analytical power, and, not least, for his prolific production of new views and fertile theories. There is hardly a subject in the whole of pure mathematics at which he has not worked.
In Proceedings of London Royal Society (1895), 58, 21.
Science quotes on:  |  Alike (60)  |  Analysis (233)  |  Arthur Cayley (17)  |  Compare (69)  |  Leonhard Euler (35)  |  Fertile (29)  |  James Whitbread Lee Glaisher (3)  |  Mathematicians and Anecdotes (141)  |  Mathematics (1328)  |  New (1216)  |  Power (746)  |  Production (183)  |  Prolific (5)  |  Pure (291)  |  Pure Mathematics (67)  |  Range (99)  |  Subject (521)  |  Theory (970)  |  View (488)  |  Whole (738)  |  Work (1351)


See also:
  • 11 Mar - short biography, births, deaths and events on date of Bertrand's birth.

Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
Quotations by:Albert EinsteinIsaac NewtonLord KelvinCharles DarwinSrinivasa RamanujanCarl SaganFlorence NightingaleThomas EdisonAristotleMarie CurieBenjamin FranklinWinston ChurchillGalileo GalileiSigmund FreudRobert BunsenLouis PasteurTheodore RooseveltAbraham LincolnRonald ReaganLeonardo DaVinciMichio KakuKarl PopperJohann GoetheRobert OppenheimerCharles Kettering  ... (more people)

Quotations about:Atomic  BombBiologyChemistryDeforestationEngineeringAnatomyAstronomyBacteriaBiochemistryBotanyConservationDinosaurEnvironmentFractalGeneticsGeologyHistory of ScienceInventionJupiterKnowledgeLoveMathematicsMeasurementMedicineNatural ResourceOrganic ChemistryPhysicsPhysicianQuantum TheoryResearchScience and ArtTeacherTechnologyUniverseVolcanoVirusWind PowerWomen ScientistsX-RaysYouthZoology  ... (more topics)
Sitewide search within all Today In Science History pages:
Visit our Science and Scientist Quotations index for more Science Quotes from archaeologists, biologists, chemists, geologists, inventors and inventions, mathematicians, physicists, pioneers in medicine, science events and technology.

Names index: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

Categories index: | 1 | 2 | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

- 100 -
Sophie Germain
Gertrude Elion
Ernest Rutherford
James Chadwick
Marcel Proust
William Harvey
Johann Goethe
John Keynes
Carl Gauss
Paul Feyerabend
- 90 -
Antoine Lavoisier
Lise Meitner
Charles Babbage
Ibn Khaldun
Euclid
Ralph Emerson
Robert Bunsen
Frederick Banting
Andre Ampere
Winston Churchill
- 80 -
John Locke
Bronislaw Malinowski
Bible
Thomas Huxley
Alessandro Volta
Erwin Schrodinger
Wilhelm Roentgen
Louis Pasteur
Bertrand Russell
Jean Lamarck
- 70 -
Samuel Morse
John Wheeler
Nicolaus Copernicus
Robert Fulton
Pierre Laplace
Humphry Davy
Thomas Edison
Lord Kelvin
Theodore Roosevelt
Carolus Linnaeus
- 60 -
Francis Galton
Linus Pauling
Immanuel Kant
Martin Fischer
Robert Boyle
Karl Popper
Paul Dirac
Avicenna
James Watson
William Shakespeare
- 50 -
Stephen Hawking
Niels Bohr
Nikola Tesla
Rachel Carson
Max Planck
Henry Adams
Richard Dawkins
Werner Heisenberg
Alfred Wegener
John Dalton
- 40 -
Pierre Fermat
Edward Wilson
Johannes Kepler
Gustave Eiffel
Giordano Bruno
JJ Thomson
Thomas Kuhn
Leonardo DaVinci
Archimedes
David Hume
- 30 -
Andreas Vesalius
Rudolf Virchow
Richard Feynman
James Hutton
Alexander Fleming
Emile Durkheim
Benjamin Franklin
Robert Oppenheimer
Robert Hooke
Charles Kettering
- 20 -
Carl Sagan
James Maxwell
Marie Curie
Rene Descartes
Francis Crick
Hippocrates
Michael Faraday
Srinivasa Ramanujan
Francis Bacon
Galileo Galilei
- 10 -
Aristotle
John Watson
Rosalind Franklin
Michio Kaku
Isaac Asimov
Charles Darwin
Sigmund Freud
Albert Einstein
Florence Nightingale
Isaac Newton



who invites your feedback
Thank you for sharing.
Today in Science History
Sign up for Newsletter
with quiz, quotes and more.