“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.”

in What is Mathematics, in [Hilary Putnam, Mathematics, matter, and method, Cambridge University Press, 1979, 0521295505, 60]

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "The physicist who states a law of nature with the aid of a mathematical formula is abstracting a real feature of a real…" by Hilary Putnam?
Hilary Putnam photo
Hilary Putnam 8
American philosopher 1926–2016

Related quotes

Nikolai Ivanovich Lobachevsky photo

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

Nikolai Ivanovich Lobachevsky (1792–1856) Russian mathematician of Ukrainian origin

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.

Richard Dedekind photo

“For me, abstraction is real, probably more real than nature. I'll go further and say that abstraction is nearer my heart. I prefer to see with closed eyes.”

Josef Albers (1888–1976) German-American artist and educator

Quoted in: Arts/Canada, Vol. 23 (1966), p. 46

G. H. Hardy photo
Constantin Brâncuși photo

“There are idiots who define my work as abstract; yet what they call abstract is what is most realistic. What is real is not the appearance, but the idea, the essence of things.”

Constantin Brâncuși (1876–1957) French-Romanian artist

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,

Richard Feynman photo

“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 (1918–1988) American theoretical physicist

" 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.

Alexander Stepanov photo

“.. there is a real Dada strain in the minds of the New York School of abstract painters that has emerged in the last decade.”

Robert Motherwell (1915–1991) American artist

The Dada Painters and Poets, Schultz, Wittenborn, New York 1951, p. xiii
1950s

Theo van Doesburg photo

Related topics