“I was proud of my work with Yakov Isaevich, and he of me. Despite our good relationship, however, I kept my “other” mathematical life – my work with Fuchs and Feigin and all of that – secret from him as I did from most other people. It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.”

— Edward Frenkel

Source: Love and Math, 2013, p. 139

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Edward Frenkel 5

mathematician working in representation theory, algebraic g… 1968

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“I can now report that the mathematics of the multiple focus are a most improbable thicket, and the useful service I enforced upon what I must call an absurd set of contradictions is one of my secrets. I know that thousands of scientists, at home and abroad, are attempting to duplicate my work; they are welcome to the effort. None will succeed. Why do I speak so positively? That is my other secret.”

Jack Vance (1916–2013) American mystery and speculative fiction writer

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“I not only have my secrets, I am my secrets. And you are yours. Our secrets are human secrets, and our trusting each other enough to share them with each other has much to do with the secret of what it means to be human.”

Frederick Buechner (1926) Poet, novelist, short story writer, theologian

“Thanks to my memory, which enabled me to quote Latin and to discuss Greek and Roman civilization, it became obvious to some of my colleagues in other fields that I was interested in things outside mathematics. This lead quickly to very pleasant relationships.”

Stanislaw Ulam (1909–1984) Polish-American mathematician

Source: Adventures of a Mathematician - Third Edition (1991), Chapter 7, The University of Wisconsin, p. 125

“My work is more varied than at any other point in my life. I am still carrying out research in pure mathematics. And I am working on an idea that I had several years ago on negative dimensions. … Negative dimensions are a way of measuring how empty something is. In mathematics, only one set is called empty. It contains nothing whatsoever. But I argued that some sets are emptier than others in a certain useful way. It is an idea that almost everyone greets with great suspicion, thinking I've gone soft in the brain in my old age. Then I explain it and people realise it is obvious. Now I'm developing the idea fully with a colleague. I have high hopes that once we write it down properly and give a few lectures about it at suitable places that negative dimensions will become standard in mathematics.”

Benoît Mandelbrot (1924–2010) Polish-born, French and American mathematician

New Scientist interview (2004)

“If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.”

Carl Friedrich Gauss (1777–1855) German mathematician and physical scientist

The World of Mathematics (1956) Edited by J. R. Newman

“When I came back from Munich, it was September, and I was Professor of Mathematics at the Eindhoven University of Technology. Later I learned that I had been the Department's third choice, after two numerical analysts had turned the invitation down; the decision to invite me had not been an easy one, on the one hand because I had not really studied mathematics, and on the other hand because of my sandals, my beard and my "arrogance"”

Edsger W. Dijkstra (1930–2002) Dutch computer scientist

whatever that may be
Dijkstra (1993) "From my Life" http://www.cs.utexas.edu/users/EWD/transcriptions/EWD11xx/EWD1166.html (EWD 1166).
1990s

“For truly on countless occasions throughout my life I have had this experience; persons for a time talk pleasantly with me because of my work among the sick, in which they think me very well trained, but when they learn later on that I am also trained in mathematics, they avoid me for the most part and are no longer at all glad to be with me.”

Galén (129–216) Roman physician, surgeon and philosopher

Galen. Margaret Tallmadge May (trans.) On the Usefulness of the Parts of the Body, Ithaca, New York: Cornell U. Press, 1968. p. 502.
Context: A god, as I have said, commanded me to tell the first use also, and he himself knows that I have shrunk from its obscurity. He knows too that not only here but also in many other places in these commentaries, if it depended on me, I would omit demonstrations requiring astronomy, geometry, music, or any other logical discipline, lest my books should be held in utter detestation by physicians. For truly on countless occasions throughout my life I have had this experience; persons for a time talk pleasantly with me because of my work among the sick, in which they think me very well trained, but when they learn later on that I am also trained in mathematics, they avoid me for the most part and are no longer at all glad to be with me. Accordingly, I am always wary of touching on such subjects, and in this case it is only in obedience to the command of a divinity, as I have said, that I have used the theorems of geometry

“With me, everything turns into mathematics.
More closely translated as: but in my opinion, all things in nature occur mathematically.”
Mais apud me omnia fiunt Mathematicè in Natura

René Descartes (1596–1650) French philosopher, mathematician, and scientist

""Mais"" is French for ""but"" and the ""but in my opinion"" comes from the context of the original conversation. apud me omnia fiunt Mathematicè in Natura is in latin.
Sometimes the Latin version is incorrectly quoted as Omnia apud me mathematica fiunt.
Sources: Correspondence with Mersenne http://fr.wikisource.org/wiki/Page%3aDescartes_-_%C5%92uvres,_%C3%A9d._Adam_et_Tannery,_III.djvu/48 note for line 7 (1640), page 36, Die Wiener Zeit http://books.google.com/books?id=9Xh3fVZLCycC&pg=PA532&lpg=PA532&dq=%22Omnia+apud+me+mathematica+fiunt%22+original+zitat&source=bl&ots=CgQOrveRiM&sig=WFHwIK20r5vRZ66FwCaxo857LCU&hl=de&sa=X&ei=_Wf2UcHlJYbfsgaf1IHABg#v=onepage&q=%22Omnia%20apud%20me%20mathematica%20fiunt%22%20original%20zitat&f=false page 532 (2008); StackExchange Math Q/A Where did Descartes write... http://math.stackexchange.com/questions/454599/where-did-descartes-write-with-me-everything-turns-into-mathematics?noredirect=1#comment978229_454599

“But we have higher mathematics, haven't we? This gives me freedom from my senses. The language of mathematics is even more inborn and universal than the language of music; a mathematical formula is crystal clear and independent of all sense organs. I therefore built a mathematical laboratory, set myself in it as if I were sitting in a car, and moved along with a beam of light.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Source: Attributed in posthumous publications, Einstein and the Poet (1983), p. 11

“I discovered the works of Euler and my perception of the nature of mathematics underwent a dramatic transformation. I was de-Bourbakized, stopped believing in sets, and was expelled from the Cantorian paradise. I still believe in abstraction, but now I know that one ends with abstraction, not starts with it. I learned that one has to adapt abstractions to reality and not the other way around. Mathematics stopped being a science of theories but reappeared to me as a science of numbers and shapes.”

Alexander Stepanov (1950) Russian programmer

Bjarne Stroustrup: Evolving a language in and for the real world: C++ 1991-2006. ACM HOPL-III. June 2007., 2008-04-25, http://web.archive.org/web/20071120015600/http://www.research.att.com/~bs/hopl-almost-final.pdf, 2007-11-20 http://www.research.att.com/~bs/hopl-almost-final.pdf,

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