„The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.“

Discussion to ‘Statistics in agricultural research’ by J.Wishart, Journal of the Royal Statistical Society, Supplement, 1, 26-61, 1934.

Übernommen aus Wikiquote. Letzte Aktualisierung 22. Mai 2020. Geschichte
Ronald Aylmer Fisher Foto
Ronald Aylmer Fisher
Genetiker, Evolutionstheoretiker und Statistiker 1890 - 1962

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Archimedes Foto
Steve Keen Foto

„There are numerous theorems in economics that rely upon mathematically fallacious propositions.“

—  Steve Keen Australian economist 1953

Quelle: Debunking Economics - The Naked Emperor Of The Social Sciences (2001), Chapter 12, Don't Shoot Me, I'm Only The Piano, p. 259

Pierre Louis Maupertuis Foto
Thomas Little Heath Foto
Henri Poincaré Foto

„In this domain of arithmetic,.. the mathematical infinite already plays a preponderant rôle, and without it there would be no science, because there would be nothing general.“

—  Henri Poincaré, buch Wissenschaft und Hypothese

Quelle: Science and Hypothesis (1901), Ch. I. (1905) Tr. George Bruce Halstead
Kontext: This procedure is the demonstration by recurrence. We first establish a theorem for n = 1; then we show that if it is true of n - 1, it is true of n, and thence conclude that it is true for all the whole numbers... Here then we have the mathematical reasoning par excellence, and we must examine it more closely.
... The essential characteristic of reasoning by recurrence is that it contains, condensed, so to speak, in a single formula, an infinity of syllogisms.
... to arrive at the smallest theorem [we] can not dispense with the aid of reasoning by recurrence, for this is an instrument which enables us to pass from the finite to the infinite.
This instrument is always useful, for, allowing us to overleap at a bound as many stages as we wish, it spares us verifications, long, irksome and monotonous, which would quickly become impracticable. But it becomes indispensable as soon as we aim at the general theorem...
In this domain of arithmetic,.. the mathematical infinite already plays a preponderant rôle, and without it there would be no science, because there would be nothing general.<!--pp.10-12

Auguste Comte Foto

„Mathematical Analysis is… the true rational basis of the whole system of our positive knowledge.“

—  Auguste Comte French philosopher 1798 - 1857

Bk. 1, chap. 1; as cited in: Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book https://archive.org/stream/memorabiliamathe00moriiala#page/81/mode/2up, (1914), p. 224
System of positive polity (1852)

Robert Maynard Hutchins Foto

„As far as the use of mathematics in economics is concerned, there is an abundance of formulas where such are not needed. They are frequently introduced, one fears, in order to show off. The more difficult the mathematical theorem, the more esoteric the name of the mathematician quoted, the better.“

—  Oskar Morgenstern austrian economist 1902 - 1977

Oskar Morgenstern, " Limits of the Use of Mathematics in Economics https://www.princeton.edu/~erp/ERParchives/archivepdfs/M49.pdf," in: James C. Charlesworth (Hg.), Mathematics and the Social Science. The Utility and Inutility of Mathematics in the Study of Economics, Political Sciences and Sociology, Philadelphia 1963, S. 12-29, hier S. 18.

Ferdinand Eisenstein Foto

„As a boy of six I could understand the proof of a mathematical theorem more readily than that meat had to be cut with one's knife, not one's fork.“

—  Ferdinand Eisenstein German mathematician 1823 - 1852

Curriculum Vitae - an autobiographical statement written when Eisenstein was 20, often referred to as his "Autobiography" (1843)

Archimedes Foto
Henri Poincaré Foto

„Everyone is sure of this [that errors are normally distributed], Mr. Lippman told me one day, since the experimentalists believe that it is a mathematical theorem, and the mathematicians that it is an experimentally determined fact.“

—  Henri Poincaré French mathematician, physicist, engineer, and philosopher of science 1854 - 1912

Tout le monde y croit cependant, me disait un jour M. Lippmann, car les expérimentateurs s'imaginent que c'est un théorème de mathématiques, et les mathématiciens que c'est un fait expérimental.
Calcul des probabilités (2nd ed., 1912), p. 171

George Boole Foto

„No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it gives the impression of also being beautiful.“

—  George Boole English mathematician, philosopher and logician 1815 - 1864

Attributed to George Boole in: Des MacHale (1993) Comic sections: the book of mathematical jokes, humour, and wisdom. p, 107
Attributed from posthumous publications

Arthur Koestler Foto
Alfred Marshall Foto
Freeman Dyson Foto

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