— Richard von Mises Austrian physicist and mathematician 1883 - 1953

Second Lecture, The Elements of the Theory of Probability, p. 38

Probability, Statistics And Truth - Second Revised English Edition - (1957)

— Antoine Augustin Cournot, Researches into the Mathematical Principles of the Theory of Wealth

Origine: Researches into the Mathematical Principles of the Theory of Wealth, 1897, p. 4; Cited in: Moritz (1914, 197): About mathematics as language

— Richard von Mises Austrian physicist and mathematician 1883 - 1953

Second Lecture, The Elements of the Theory of Probability, p. 38

Probability, Statistics And Truth - Second Revised English Edition - (1957)

— George Peacock Scottish mathematician 1791 - 1858

Vol. I: Arithmetical Algebra Preface, p. vi-vii

A Treatise on Algebra (1842)

— George Holmes Howison American philosopher 1834 - 1916

Journal of Speculative Philosophy, Vol. 5, p. 175. Reported in: Memorabilia mathematica or, The philomath's quotation-book, by Robert Edouard Moritz. Published 1914

Journals

„Anyone who reads a book with a sense of obligation does not understand the art of reading.“

— Lin Yutang, libro The Importance of Living

Origine: The Importance of Living

— Morris Kline American mathematician 1908 - 1992

Origine: Mathematics and the Physical World (1959), p. 69

— Morris Kline American mathematician 1908 - 1992

Origine: Mathematical Thought from Ancient to Modern Times (1972), p. 427

— Pierre de Fermat French mathematician and lawyer 1601 - 1665

Letter to Frénicle (1657) Oeuvres de Fermat Vol.II as quoted by Edward Everett Whitford, The Pell Equation http://books.google.com/books?id=L6QKAAAAYAAJ (1912)

Contesto: There is scarcely any one who states purely arithmetical questions, scarcely any who understands them. Is this not because arithmetic has been treated up to this time geometrically rather than arithmetically? This certainly is indicated by many works ancient and modern. Diophantus himself also indicates this. But he has freed himself from geometry a little more than others have, in that he limits his analysis to rational numbers only; nevertheless the Zetcica of Vieta, in which the methods of Diophantus are extended to continuous magnitude and therefore to geometry, witness the insufficient separation of arithmetic from geometry. Now arithmetic has a special domain of its own, the theory of numbers. This was touched upon but only to a slight degree by Euclid in his Elements, and by those who followed him it has not been sufficiently extended, unless perchance it lies hid in those books of Diophantus which the ravages of time have destroyed. Arithmeticians have now to develop or restore it. To these, that I may lead the way, I propose this theorem to be proved or problem to be solved. If they succeed in discovering the proof or solution, they will acknowledge that questions of this kind are not inferior to the more celebrated ones from geometry either for depth or difficulty or method of proof: Given any number which is not a square, there also exists an infinite number of squares such that when multiplied into the given number and unity is added to the product, the result is a square.

— Morris Kline American mathematician 1908 - 1992

Origine: Mathematical Thought from Ancient to Modern Times (1972), p.144

— Kenneth E. Iverson Canadian computer scientist 1920 - 2004

"Kenneth E. Iverson" http://keiapl.info/rhui/autobio.htm, autobiographical sketch from an unfinished work (ca. 2004), on his experience at Harvard with "a Masters program in Automatic Data Processing in 1955; in effect, the first computer science program."

— David Eugene Smith American mathematician 1860 - 1944

Origine: History of Mathematics (1925) Vol.2, Ch. 6: Algebra, p. 378

„Anyone who votes Labour ought to be locked up.“

— Bernard Montgomery, 1st Viscount Montgomery of Alamein British Army officer, Commander of Allied forces at the Battle of El Alamein 1887 - 1976

Speech at Woodford, October 1959[citation needed]

— Philip Wicksteed English economist 1844 - 1927

Pages 713–714.

"The Marxian Theory of Value: Das Kapital: A Criticism" (1884)

Contesto: It is true also that Marx elsewhere virtually defines value so as to make it essentially dependent upon human labour (p. 81 [43a]). But for all that his analysis is based on the bare fact of exchangeability. This fact alone establishes Verschiedenkeit and Ghichheit, heterogeneity and homogeneity. Any two things which normally exchange for each other, whether products of labour or not, whether they have, or have not, what we choose to call value, must have that "common something" in virtue of which things exchange and can be equated with each other; and all legitimate inferences as to wares which are drawn from the bare fact of exchange must be equally legitimate when applied to other exchangeable things. Now the "common something," which all exchangeable things contain, is neither more nor less than abstract utility, i. e. power of satisfying human desires. The exchanged articles differ from each other in the specific desires which they satisfy, they resemble each other in the degree of satisfaction which they confer. The Verschiedenheit is qualitative, the Gleichheit is quantitative.It cannot be urged that there is no common measure to which we can reduce the satisfaction derived from such different articles as Bibles and brandy, for instance (to take an illustration suggested by Marx), for as a matter of fact we are all of us making such reductions every day. If I am willing to give the same sum of money for a family Bible and for a dozen of brandy, it is because I have reduced the respective satisfactions their possession will afford me to a common measure, and have found them equivalent. In economic phrase, the two things have equal abstract utility for me. In popular (and highly significant) phrase, each of the two things is worth as much to me as the other.Marx is, therefore, wrong in saying that when we pass from that in which the exchangeable wares differ (value in use) to that in which they are identical (value in exchange), we must put their utility out of consideration, leaving only jellies of abstract labour. What we really have to do is to put out of consideration the concrete and specific qualitative utilities in which they differ, leaving only the abstract and general quantitative utility in which they are identical.This formula applies to all exchangeable commodities, whether producible in indefinite quantities, like family Bibles and brandy, or strictly limited in quantity, like the "Raphaels," one of which has just been purchased for the nation. The equation which always holds in the case of a normal exchange is an equation not of labour, but of abstract utility, significantly called worth. … A coat is made specifically useful by the tailor's work, but it is specifically useful (has a value in use) because it protects us. In the same way, it is made valuable by abstractly useful work, but it is valuable because it has abstract utility.

— Isaac Newton British physicist and mathematician and founder of modern classical physics 1643 - 1727

The Mathematical Papers of Isaac Newton (edited by Whiteside), Volume 7; Volumes 1691-1695 / pg. 261. http://books.google.com.br/books?id=YDEP1XgmknEC&printsec=frontcover

Geometriae (Treatise on Geometry)

— David Eugene Smith American mathematician 1860 - 1944

This work is also noteworthy because it contains the first of an effort to represent the imaginary number graphically by the method now used. The effort stopped short of success but was an ingenious beginning.

History of Mathematics (1923) Vol.1

— Thomas Little Heath British civil servant and academic 1861 - 1940

Diophantos of Alexandria: A Study in the History of Greek Algebra (1885)

— Lewis Carroll English writer, logician, Anglican deacon and photographer 1832 - 1898

Origine: Alice's Adventures in Wonderland & Other Stories

— Henry Temple, 3rd Viscount Palmerston British politician 1784 - 1865

Letter to Henry Sulivan in response to the French Revolution of 1830 (1 August 1830), quoted in Jasper Ridley, Lord Palmerston (1970), p. 103

1830s

— Niels Henrik Abel Norwegian mathematician 1802 - 1829

A Memoir on Algebraic Equations, Proving the Impossibility of a Solution of the General Equation of the Fifth Degree (1824) Tr. W. H. Langdon, as quote in A Source Book in Mathematics (1929) ed. David Eugene Smith