„The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work.“

"Method in the Physical Sciences", in The Unity of Knowledge (1955), ed. L. G. Leary (Doubleday & Co., New York), p. 157

Última atualização 22 de Maio de 2020. História
John von Neumann photo
John von Neumann
1903 - 1957
Editar

Citações relacionadas

Stephen Hawking photo

„What is it that breathes fire into the equations and makes a universe for them to describe? The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe.“

—  Stephen Hawking, livro A Brief History of Time

Fonte: A Brief History of Time (1988), Ch. 12
Contexto: Even if there is only one possible unified theory, it is just a set of rules and equations. What is it that breathes fire into the equations and makes a universe for them to describe? The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing?

„Johann Herbart’s work on education and particularly mathematical psychology influenced me. I think mathematics is the pure instance of construct functioning—the model of human behaviour.“

—  George Kelly (psychologist) American psychologist and therapist 1905 - 1967

Attributed to George A. Kelly in Hinkle (1970, p. 91), as cited in: Fay Fransella and Robert A. Neimeyer. "George Alexander Kelly: The man and his theory." International handbook of personal construct psychology (2003): 21-31.

„As a mathematical object, the constitution is maximally simple, consistent, necessarily incomplete, and interpretable as a model of natural law. Political authority is allocated solely to serve the constitution.“

—  Nick Land British philosopher 1962

There are no authorities which are not overseen, within nonlinear structures. Constitutional language is formally constructed to eliminate all ambiguity and to be processed algorithmically. Democratic elements, along with official discretion, and legal judgment, is incorporated reluctantly, minimized in principle, and gradually eliminated through incremental formal improvement. Argument defers to mathematical expertise. Politics is a disease that the constitution is designed to cure.
"A Republic, If You Can Keep It" https://web.archive.org/web/20140327090001/http://www.thatsmags.com/shanghai/articles/12321 (2013) (original emphasis)

James Jeans photo
James Jeans photo
Albrecht Dürer photo

„The new art must be based upon science — in particular, upon mathematics, as the most exact, logical, and graphically constructive of the sciences.“

—  Albrecht Dürer German painter, printmaker, mathematician, and theorist 1471 - 1528

As quoted in Dictionary of Scientific Biography (1970 - 1990) edited by M Steck.

George Dantzig photo

„The function of logic in mathematics is critical rather than constructive.“

—  George Frederick James Temple British mathematician 1901 - 1992

100 Years of Mathematics: a Personal Viewpoint (1981)

Paul Dirac photo

„One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.“

—  Paul Dirac theoretical physicist 1902 - 1984

The Evolution of the Physicist's Picture of Nature (1963)
Contexto: It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beauty and power, needing quite a high standard of mathematics for one to understand it. You may wonder: Why is nature constructed along these lines? One can only answer that our present knowledge seems to show that nature is so constructed. We simply have to accept it. One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe. Our feeble attempts at mathematics enable us to understand a bit of the universe, and as we proceed to develop higher and higher mathematics we can hope to understand the universe better.

Victor J. Stenger photo

„The so-called mysteries of quantum mechanics are in its philosophical interpretation, not in its mathematics.“

—  Victor J. Stenger American philosopher 1935 - 2014

In God and the Folly of Faith: The Incompatibility of Science and Religion (2012)

Martin Luther King, Jr. photo

„Science investigates; religion interprets. Science gives man knowledge which is power; religion gives man wisdom which is control. Science deals mainly with facts; religion deals mainly with values. The two are not rivals. They are complementary.“

—  Martin Luther King, Jr. American clergyman, activist, and leader in the American Civil Rights Movement 1929 - 1968

Fonte: 1960s, Strength to Love (1963), Ch. 1 : A tough mind and a tender heart
Contexto: Softmindedness often invades religion. … Softminded persons have revised the Beautitudes to read "Blessed are the pure in ignorance: for they shall see God." This has led to a widespread belief that there is a conflict between science and religion. But this is not true. There may be a conflict between softminded religionists and toughminded scientists, but not between science and religion. … Science investigates; religion interprets. Science gives man knowledge which is power; religion gives man wisdom which is control. Science deals mainly with facts; religion deals mainly with values. The two are not rivals. They are complementary.

Fritjof Capra photo
David Deutsch photo
Bertrand Russell photo
Sam Harris photo

Tópicos relacionados