“I shall now address you on the subject of the present situation in research in the foundations of mathematics. Since there remain open questions in this field, I am not in a position to paint a definitive picture of it for you. But it must be pointed out that the situation is not so critical as one could think from listening to those who speak of a foundational crisis. From certain points of view, this expression can be justified; but it could give rise to the opinion that mathematical science is shaken at its roots.”

— Paul Bernays

Paul Bernays, Platonism in mathematics http://sites.google.com/site/ancientaroma2/book_platonism.pdf (1935) Lecture delivered June 18, 1934, in the cycle of Conferences internationales des Sciences mathematiques organized by the University of Geneva, in the series on Mathematical Logic.) Translation by: Charles Parsons

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Paul Bernays 4

Swiss mathematician 1888–1977

William Feller (1906–1970) Croatian-American mathematician

Introduction, The Nature of Probability Theory, p. 3.
An Introduction To Probability Theory And Its Applications (Third Edition)

“You often hear that the language of science is mathematics. I don't completely agree with the article. I don't think it is a definite article. Mathematics is "a" language of science. But, it is only "a" language of science. The language of science is English. The language of science is Spanish.”

Daniel Alan Vallero (1953) American scientist

Acceptance speech, Alumni Achievement Award, Collinsville, Illinois. 2017.

“It is true that M. Fourier had the opinion that the principal end of mathematics was the public utility and the explanation of natural phenomena; but such a philosopher as he is should have known that the unique end of science is the honor of the human mind, and that from this point of view a question of number is as important as a question of the system of the world.”

Carl Gustav Jacob Jacobi (1804–1851) German mathematician

Letter to Legendre (July 2, 1830) in response to Fourier's report to the Paris Academy Science that mathematics should be applied to the natural sciences, as quoted in Science (March 10, 1911) Vol. 33 https://books.google.com/books?id=4LU7AQAAMAAJ&pg=PA359, p.359, with additional citations and dates from H. Pieper, "Carl Gustav Jacob Jacobi," Mathematics in Berlin (2012) p.46

“Whenever I draw up economic policy I look at it from the point of view of the person who has nothing; I look at it from the point of view of my farther who tried to get a job but could not.”

Harry Schwarz (1924–2010) South African activist

Sunday Times (18 November 1990).
Parliament (1974-1991)
Source: http://www.samedia.uovs.ac.za/cgi-bin/getpdf?id=2056613

“Human beings are incontestably capital from an abstract and mathematical point of view.”

Theodore Schultz (1902–1998) American economist

Source: "Investment in human capital," 1961, p. 3

“To be open, receptive and exposed to the dangers of making improvised music, means exposing yourself to unwanted situations that could break the foundations of your own security. … You must engage in questioning your security, see it as a constriction. You are aware and scared, as if you were in a dark corridor. Now you are starting to realise that what you thought of as walls existed only in your imagination.”

Mattin (1977) Spanish musician

Pages 20–21.
"Going Fragile" (July 2005)

“I am keen to earn some money.... beginning to lose all hope... What I see most clearly is that my situation in impossible from every point of view.”

Berthe Morisot (1841–1895) painter from France

quote in her letter to sister Edma, circa 1872/73, after Manet had forgotten to show one of her paintings to art-dealer Durand-Ruel; as cited in The Correspondence of Berthe Morisot, with her family and friends, Denish Rouart - newly introduced by Kathleen Adler and Tamer Garb; Camden Press London 1986, pp. 89-90
1871 - 1880

“.. Recently I was at the home of Thomas Hess and he had a painting hanging there and I said to my wife: 'Is that one of my paintings?'. And she said: 'Well, it looks like one of yours from around 1942'. But then we realized that it wasn't one of my but one of Baziote's paintings…. at that time, 1942, the differences in our paintings may have seemed very great, but now [1960] the difference is not so great apparently…. For example; in the early forties Rothko and I decided to paint a certain subject matter. Perhaps if we saw some of those paintings now…. they might not seem so different as they did at the time. However, at no point was there ever any sort of a doctrine or a programma or anything that would make a school. I think it was simply a situation in which all of the painters were at that time; they were trying to break away from certain things.”

Adolph Gottlieb (1903–1974) American artist

In an interview (March 1960) with David Sylvester, edited for broadcasting by the BBC first published in 'Living Arts', June 1963; as quoted in Interviews with American Artists, by David Sylvester; Chatto & Windus, London 2001, pp. 27-28
1960s

“Catalan language is one of the most complete and perfect expressions that I know from the point of view regarding language, I not only read it since many years ago, but I understand it. Moreover, I speak it intimately too.”

José María Aznar (1953) Spanish President from 1996 to 2004

On an interview with the Catalan Autonomous Television, just before politically coallitioning with Catalan, Canarian and Basque nationalists
Source: L' Aznar destrossant la llengua catalana http://www.youtube.com/watch?v=5m95BZOKDPs, December 2006.

“The only generally agreed upon definition of mathematics is "Mathematics is what mathematicians do." […]
In the face of this difficulty [of defining "computer science"] many people, including myself at times, feel that we should ignore the discussion and get on with doing it. But as George Forsythe points out so well in a recent article*, it does matter what people in Washington D. C. think computer science is. According to him, they tend to feel that it is a part of applied mathematics and therefore turn to the mathematicians for advice in the granting of funds. And it is not greatly different elsewhere; in both industry and the universities you can often still see traces of where computing first started, whether in electrical engineering, physics, mathematics, or even business. Evidently the picture which people have of a subject can significantly affect its subsequent development. Therefore, although we cannot hope to settle the question definitively, we need frequently to examine and to air our views on what our subject is and should become.”

Richard Hamming (1915–1998) American mathematician and information theorist

Hamming cites Forsythe, G.E., "What to do until the computer scientist comes", Am. Math. Monthly 75 (5), May 1968, p. 454-461.
One Man's View of Computer Science (1969)

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Paul Bernays 4

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