
As quoted in George Edward Martin, The Foundations of Geometry and the Non-Euclidean Plane, Springer (1998 [1975]), p. 225; also in Stanley Gudder, A Mathematical Journey, McGraw-Hill (1976), p. 36.
in What is Mathematics, in [Hilary Putnam, Mathematics, matter, and method, Cambridge University Press, 1979, 0521295505, 60]
As quoted in George Edward Martin, The Foundations of Geometry and the Non-Euclidean Plane, Springer (1998 [1975]), p. 225; also in Stanley Gudder, A Mathematical Journey, McGraw-Hill (1976), p. 36.
Quoted in: Arts/Canada, Vol. 23 (1966), p. 46
Original in French:
Il y a des imbéciles qui définissent mon œuvre comme abstraite, pourtant ce qu'ils qualifient d'abstrait est ce qu'il y a de plus réaliste, ce qui est réel n'est pas l'apparence mais l'idée, l'essence des choses.
Caiete Silvane magazine, 2008-11-01, Sculptura pe Internet http://www.caietesilvane.ro/indexcs.php?cmd=articol&idart=232,
" New Textbooks for the "New" Mathematics http://calteches.library.caltech.edu/2362/1/feynman.pdf", Engineering and Science volume 28, number 6 (March 1965) p. 9-15 at p. 14
Paraphrased as "Precise language is not the problem. Clear language is the problem."
Context: The real problem in speech is not precise language. The problem is clear language. The desire is to have the idea clearly communicated to the other person. It is only necessary to be precise when there is some doubt as to the meaning of a phrase, and then the precision should be put in the place where the doubt exists. It is really quite impossible to say anything with absolute precision, unless that thing is so abstracted from the real world as to not represent any real thing.Pure mathematics is just such an abstraction from the real world, and pure mathematics does have a special precise language for dealing with its own special and technical subjects. But this precise language is not precise in any sense if you deal with real objects of the world, and it is only pedantic and quite confusing to use it unless there are some special subtleties which have to be carefully distinguished.
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,
The Dada Painters and Poets, Schultz, Wittenborn, New York 1951, p. xiii
1950s
Quote from Van Doesburg's article 'Elementarism as real art', in: 'Painting and plastic art' - Rome, July 1926, in De Stijl', series XIII, 1 75-6, 1926, pp. 35–43
1926 – 1931