— George Frederick James Temple British mathematician 1901 - 1992

100 Years of Mathematics: a Personal Viewpoint (1981)

— David Deutsch, libro The Fabric of Reality

The Fabric of Reality (1997)

— George Frederick James Temple British mathematician 1901 - 1992

100 Years of Mathematics: a Personal Viewpoint (1981)

— Leonardo Da Vinci Italian Renaissance polymath 1452 - 1519

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

„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 French mathematician, philosopher and man of letters 1698 - 1759

Les Loix du Mouvement et du Repos, déduites d'un Principe Métaphysique (1746)

— 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 American philosopher 1891 - 1953

The Philosophy of Space and Time (1928, tr. 1957)

— 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 British mathematician, philosopher 1903 - 1930

Footnote: In the future by 'mathematics' will always be meant 'pure mathematics'.

The Foundations of Mathematics (1925)

„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 American mathematician 1914 - 2005

Origine: Linear programming and extensions (1963), p. 2

— Stanislaw Ulam Polish-American mathematician 1909 - 1984

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

— Eduard Jan Dijksterhuis Dutch historian 1892 - 1965

Origine: The mechanization of the world picture, 1961, p. 499

— 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 American mathematician 1927 - 2011

Origine: A Mathematical Theory of Systems Engineering (1967), p. 3.

„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 Russian mathematician 1966 - 2017

UniMath by Vladimir Voevodsky, Heidelberg Laureate Forum, Sept. 22, 2016, Heidelberg https://www.math.ias.edu/vladimir/sites/math.ias.edu.vladimir/files/2016_09_22_HLF_Heidelberg.pdf p. 3

„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, 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

„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)