„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, libro The Fabric of Reality

The Fabric of Reality (1997)

Estratto da Wikiquote. Ultimo aggiornamento 03 Giugno 2021. Storia
David Deutsch photo
David Deutsch
fisico britannico 1953

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Leonardo Da Vinci photo

„There is no certainty in sciences where one of the mathematical sciences cannot be applied, or which are not in relation with these mathematics.“

—  Leonardo Da Vinci Italian Renaissance polymath 1452 - 1519

The Notebooks of Leonardo da Vinci (1883), XIX Philosophical Maxims. Morals. Polemics and Speculations.

Pierre Deligne photo

„The nice thing about mathematics is doing mathematics.“

—  Pierre Deligne mathematician 1944

Pierre Deligne in: Philip Ball. "Mathematician wins award for shaping algebra: 2013 Abel Prize goes to Belgian Pierre Deligne, who proved a deep conjecture about algebra and geometry." in Nature, 20 March 2013

Pierre Louis Maupertuis photo
Bernard Le Bovier de Fontenelle photo

„The calculus is to mathematics no more than what experiment is to physics, and all the truths produced solely by the calculus can be treated as truths of experiment. The sciences must proceed to first causes, above all mathematics where one cannot assume, as in physics, principles that are unknown to us. For there is in mathematics, so to speak, only what we have placed there… If, however, mathematics always has some essential obscurity that one cannot dissipate, it will lie, uniquely, I think, in the direction of the infinite; it is in that direction that mathematics touches on physics, on the innermost nature of bodies about which we know little.“

—  Bernard Le Bovier de Fontenelle French writer, satirist and philosopher of enlightenment 1657 - 1757

Elements de la géométrie de l'infini (1727) as quoted by Amir R. Alexander, Geometrical Landscapes: The Voyages of Discovery and the Transformation of Mathematical Practice (2002) citing Michael S. Mahoney, "Infinitesimals and Transcendent Relations: The Mathematics of Motion in the Late Seventeenth Century" in Reappraisals of the Scientific Revolution, ed. David C. Lindberg, Robert S. Westman (1990)

Hans Reichenbach photo
Benjamin Peirce photo

„The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics.“

—  Benjamin Peirce, Linear Associative Algebra

§ 2.
Linear Associative Algebra (1882)
Contesto: The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.

Frank P. Ramsey photo
Arthur Stanley Eddington photo
Richard Feynman photo

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

—  Richard Feynman, libro The Character of Physical Law

Origine: The Character of Physical Law (1965), chapter 2, “The Relation of Mathematics to Physics”
Contesto: 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.

George Dantzig photo
Stanislaw Ulam photo

„It was not so much that I was doing mathematics, but rather that mathematics had taken possession of me.“

—  Stanislaw Ulam Polish-American mathematician 1909 - 1984

Origine: Adventures of a Mathematician - Third Edition (1991), Chapter 3, Travels Abroad, p. 52

Eduard Jan Dijksterhuis photo
Ernst Mach photo

„There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can be performed in a few minutes which without mathematical methods would take a lifetime.“

—  Ernst Mach Austrian physicist and university educator 1838 - 1916

Origine: 19th century, Popular Scientific Lectures [McCormack] (Chicago, 1898), p. 197; On mathematics and counting.

A. Wayne Wymore photo

„The history of mathematics throws little light on the psychology of mathematical invention.“

—  George Frederick James Temple British mathematician 1901 - 1992

100 Years of Mathematics: a Personal Viewpoint (1981)

Vladimir Voevodsky photo
Bertrand Russell photo

„Mathematics rightly viewed possesses not only truth but supreme beauty.“

—  Bertrand Russell logician, one of the first analytic philosophers and political activist 1872 - 1970

1900s, "The Study of Mathematics" (November 1907)
Contesto: Mathematics, rightly viewed, possesses not only truth, but supreme beauty – a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of highest excellence, is to be found in mathematics as surely as in poetry. What is best in mathematics deserves not merely to be learnt as a task, but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.

Roger Bacon photo

„If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics…“

—  Roger Bacon, libro Opus Majus

Bk. 1, ch. 4. Translated by Robert B. Burke, in: Edward Grant (1974) Source Book in Medieval Science. Harvard University Press. p. 93
Opus Majus, c. 1267

Donald Ervin Knuth photo

„A mathematical formula should never be "owned" by anybody! Mathematics belong to God.“

—  Donald Ervin Knuth, Digital Typography

Digital Typography, ch. 1, p. 8 (1999)

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