„The physicist who states a law of nature with the aid of a mathematical formula is abstracting a real feature of a real material world, even if he has to speak of numbers, vectors, tensors, state-functions, or whatever to make the abstraction.“

—  Hilary Putnam, in What is Mathematics, in [Hilary Putnam, Mathematics, matter, and method, Cambridge University Press, 1979, 0521295505, 60]
Hilary Putnam photo
Hilary Putnam1
filosofo e matematico statunitense 1926

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„There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.“

—  Nikolai Ivanovich Lobachevsky Russian mathematician of Ukrainian origin 1792 - 1856
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.

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„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.“

—  Richard Feynman American theoretical physicist 1918 - 1988
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. " 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."

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„[It].... is a real declaration of love toward art. Abstraction from this world more as a game, less as a failure of the earthly. Somewhere in between. The man in love no longer drinks and eats..“

—  Paul Klee German Swiss painter 1879 - 1940
1911 - 1914, Diary entry (1912), # 922; as quoted by Francesco Mazzaferro, in 'The Diaries of Paul Klee Part Four', : Klee as an Expressionist and Constructivist Painter http://letteraturaartistica.blogspot.nl/2015/05/paul-klee-ev27.html

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„Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Etiam egestas wisi a erat. Morbi imperdiet, mauris ac auctor dictum.“