“The subject matter of mathematics is the expressions themselves together with the rules for manipulating them—nothing more.”

— Edward Nelson

[Nelson, E., Predicative Arithmetic, 1986, Princeton University Press, Princeton, 0-691-08455-6, https://books.google.co.uk/books?id=pvr_AwAAQBAJ&printsec=frontcover#v=onepage&q&f=false, 86018730, 14001745, 173, harv]

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 subject matter of mathematics is the expressions themselves together with the rules for manipulating them—nothing m…" by Edward Nelson?

Edward Nelson photo

Edward Nelson 2

American mathematical physicist and logician 1932–2014

Related quotes

“The beauty of mathematics often makes the subject matter much more attractive and easier to master.”

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

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

“The expression that there is nothing to express, nothing with which to express, nothing from which to express, no power to express, no desire to express, together with the obligation to express.”

Samuel Beckett book Three Dialogues

Also quoted in "Conversations with Samuel Beckett and Bram van Velde by Charles Juliet" by Nicholas Lezard, in The Guardian (23 January 2010) http://www.theguardian.com/books/2010/jan/23/conversations-samuel-beckett-van-velde
Three Dialogues (1949)

“Necessary truth is merely the subject-matter of mathematics, not the reward we get for doing mathematics. The object of mathematics is not, and cannot be, mathematical certainty. It is not even mathematical truth, certain or otherwise. It is, and must be, mathematical explanation.”

David Deutsch book The Fabric of Reality

The Fabric of Reality (1997)

“Modern art to me is nothing more than the expression of contemporary aims of the age we're living in... All cultures have had means and techniques of expressing their immediate aims – the Chinese, the Renaissance, all cultures. The thing that interests me is that today painters do not have to go to a subject matter outside of themselves. Most modern painters work from a different source, they work from within.”

Jackson Pollock (1912–1956) American artist

Source: 1950's, Interview by William Wright, Summer 1950, p. 140

“There are basically only two subject matters in all Western culture: sex and death. We do have some ability to manipulate sex nowadays. We have no ability, and never will have, to manipulate death.”

Peter Greenaway (1942) British film director

In an interview in Cineaste, 1991
Interviews

“Subject - (1) a person subject to political rule; (2) a free agent, instigator of its activity - subjects can realize themselves as free agents only by means of redoubling themselves as, only in so far as they project, transpose the pure form of their freedom into the very heart of the substance opposed to them; into the person of the subject-monarch as head of state.”

Slavoj Žižek book The Sublime Object of Ideology

261
The Sublime Object of Ideology (1989)

“Expressions used in particular cases are to be understood with relation to the subject-matter then before the Court.”

Sir Francis Buller, 1st Baronet (1746–1800) British judge

Moss v. Gallimore (1780), Dougl. 279.

“The subject matter of mathematics has increased so rapidly and extensively that there is some element of truth in maintaining that mathematics is not so much a subject as a way of studying any subject, not so much a science as a way of life. We turn, then, from the attempt to characterize the material object of mathematics to an attempt to determine its formal object, i. e., its methodology.”

George Frederick James Temple (1901–1992) British mathematician

100 Years of Mathematics: a Personal Viewpoint (1981)

“The jargon makes it seem that … the pure attention of the expression to the subject matter would be a fall into sin.”

Theodor W. Adorno (1903–1969) German sociologist, philosopher and musicologist known for his critical theory of society

Source: Jargon der Eigentlichkeit [Jargon of Authenticity] (1964), p. 9

“These five rules [above] form all that is necessary to render proofs convincing, immutable, and to say all, geometrical; and the eight rules together render them even more perfect.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

The Art of Persuasion

Related topics