“When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system.”

—  John Von Neumann

As quoted in John von Neumann, 1903-1957 (1958) by John C. Oxtoby and B. J. Pettis, p. 128

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 "When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system." by John Von Neumann?
John Von Neumann photo
John Von Neumann 19
Hungarian-American mathematician and polymath 1903–1957

Related quotes

Albert Einstein photo

“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

S. I. Hayakawa photo

“ Of all forms of symbolism, language is the most highly developed, most subtle, and most complicated. It has been pointed out that human beings, by agreement, can make anything stand for anything. Now, human beings have agreed, in the course of centuries of mutual dependency, to let the various noises that they can produce […] stand for specified happenings in their nervous systems. We call that system of agreements language. For example, we who speak English have been so trained that, when our nervous systems register the presence of a certain kind of animal, we may make the following noise: "That's a cat." Anyone hearing us expects to find that, by looking in the same direction, he will experience a similar event in his nervous system -- one that will lead him to make an almost identical noise. Again, we have been so trained that when we are conscious of wanting food, we make the noise "I'm hungry."”

S. I. Hayakawa book Language in Thought and Action

</SPAN>
Source: Language in Thought and Action (1949), Language as Symbolism, pp. 26-27

Richard Feynman photo

“Mathematics is not just a language. Mathematics is a language plus reasoning.”

Richard Feynman book The Character of Physical Law

Source: The Character of Physical Law (1965), chapter 2, “The Relation of Mathematics to Physics”
Context: Mathematics is not just a language. Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning. It's, in fact, a big collection of the results of some person's careful thought and reasoning. By mathematics, it is possible to connect one statement to another.

Jules Michelet photo

“The history of France begins with the French language. Language is the primary sign of nationality.”

Jules Michelet (1798–1874) French historian

[Histoire de France, Michelet, Jules, Chamerot, 1861, 1, book 3]
History of France, 1833-1867

Frank Herbert photo

“We sift reality through screens composed of ideas. These idea systems are limited by language. That is to say: language cuts the grooves in which our thoughts move. If we seek new validity forms,we must step outside the language.”

Frank Herbert book The Santaroga Barrier

Source: The Santaroga Barrier (1968), Chapter Ten

Josiah Willard Gibbs photo

“Mathematics is a language.”

Josiah Willard Gibbs (1839–1903) physicist

At a Yale faculty meeting, during a discussion of language requirements in the undergraduate curriculum. Quoted in Muriel Rukeyser, Willard Gibbs (Garden City, NY: Doubleday, Doran & Co., 1942), p. 280.
Attributed

Daniel Alan Vallero photo

“You often hear that the language of science is mathematics. I don't completely agree with the article. I don't think it is a definite article. Mathematics is "a" language of science. But, it is only "a" language of science. The language of science is English. The language of science is Spanish.”

Daniel Alan Vallero (1953) American scientist

Acceptance speech, Alumni Achievement Award, Collinsville, Illinois. 2017.

“Mathematics, too, is a language, and as concerns its structure and content it is the most perfect language which exists, superior to any vernacular; indeed, since it is understood by every people, mathematics may be called the language of languages. Through it, as it were, nature herself speaks; through it the Creator of the world has spoken, and through it the Preserver of the world continues to speak.”

Christian Heinrich von Dillmann (1829–1899) German educationist

Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 5.

Toni Morrison photo

“We die. That may be the meaning of life. But we do language. That may be the measure of our lives.”

Toni Morrison (1931–2019) American writer

Nobel Prize Lecture (1993)
Context: Word-work is sublime... because it is generative; it makes meaning that secures our difference, our human difference — the way in which we are like no other life.
We die. That may be the meaning of life. But we do language. That may be the measure of our lives.

“But how can we avoid the use of human language? The… symbol. Only by using a symbolic language not yet usurped by those vague ideas of space, time, continuity which have their origin in intuition and tend to obscure pure reason—only thus may we hope to build mathematics on the solid foundation of logic.”

Tobias Dantzig (1884–1956) American mathematician

p, 125
Number: The Language of Science (1930)

Related topics