“Two points defined a line, but three defined the playing field.”
Daniel Abraham (1969) speculative fiction writer from the United States
The Churn (2014)
“An important point is that the p-adic field, or respectively the real or complex field, corresponding to a prime ideal, plays exactly the role, in arithmetic, that the field of power series in the neighborhood of a point plays in the theory of functions: that is why one calls it a local field.”
as translated by Martin H. Krieger "A 1940 letter of André Weil on analogy in mathematics." http://www.ams.org/notices/200503/fea-weil.pdf Notices of the AMS 52, no. 3 (2005) pp. 334–341, quote on p. 340
Help us to complete the source, original and additional information
Do you have more details about the quote "An important point is that the p-adic field, or respectively the real or complex field, corresponding to a prime ideal,…" by André Weil?
André Weil11
French mathematician 1906–1998Related quotes
Marshall McLuhan (1911–1980) Canadian educator, philosopher, and scholar-- a professor of English literature, a literary critic, and a …
Source: 1980s, Laws of Media: The New Science (with Eric McLuhan) (1988), p. 111
“The sidelines may be safer but life is played on the field”
Wendy Mass (1967) American children's writer
Source: 13 Gifts
“The Battle of Waterloo was won on the playing fields of Eton.”
Arthur Wellesley, 1st Duke of Wellington (1769–1852) British soldier and statesman
As quoted in The New York Times (26 December 1886), and in Words on Wellington (1889) by Sir William Fraser, this is almost certainly apocryphal. The first attributions of such a remark to Wellington were in De l'Avenir politique de l'Angleterre (1856) by Charles de Montalembert, Ch. 10, where it is stated that on returning to Eton in old age he had said: "C'est ici qu'a été gagnée la bataille de Waterloo." This was afterwards quoted in Self-Help (1859) by Samuel Smiles as "It was there that the Battle of Waterloo was won!" Later in Memoirs of Eminent Etonians (2nd Edition, 1876) by Sir Edward Creasy, he is quoted as saying as he passed groups playing cricket on the playing-fields: "There grows the stuff that won Waterloo."
Elizabeth Longford in Wellington — The Years of the Sword (1969) states he "probably never said or thought anything of the kind" and Gerald Wellesley, 7th Duke of Wellington in a letter published in The Times in 1972 is quoted as stating: "During his old age Wellington is recorded to have visited Eton on two occasions only and it is unlikely that he came more often. … Wellington's career at Eton was short and inglorious and, unlike his elder brother, he had no particular affection for the place. … Quite apart from the fact that the authority for attributing the words to Wellington is of the flimsiest description, to anyone who knows his turn of phrase they ring entirely false."
Misattributed
Freeman Dyson (1923) theoretical physicist and mathematician
[The threefold way: algebraic structure of symmetry groups and ensembles in quantum mechanics, Jour. Math. Phys., 3, 1962, 1199–1215, https://books.google.com/books?id=nnyNUidX1OMC&pg=PA410] (p. 1200)
Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms
"The Tallest Tale", p. 310
Leonardo's Mountain of Clams and the Diet of Worms (1998)
“When you look at a vacuum in a quantum theory of fields, it isn't exactly nothing.”
Peter Higgs (1929) British physicist
in video Meet Peter Higgs http://cdsweb.cern.ch/record/1019670 by CERN (July 2004).