“Such axioms, together with other unmotivated definitions, serve mathematicians mainly by making it difficult for the uninitiated to master their subject, thereby elevating its authority.”
Vladimir I. Arnold, "Ordinary Differential Equations", 3rd edition, p. 58.
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Vladimir I. Arnold 8
Russian mathematician 1937–2010Related quotes
Du mode d'existence des object technique (1958)
Source: Kama Sutra , translated by Richard Francis Burton Preface https://en.wikisource.org/wiki/Kama_Sutra/Introductory/Preface, Wikisource
Raise their children honorably, lovingly and with detachment. A child is a guest in the house, to be loved and respected — never possessed, since he belongs to God. How wonderful, how sane, how beautifully difficult, and therefore true. The joy of responsibility for the first time in my life.
Raise High the Roof Beam, Carpenters and Seymour: An Introduction (1963), Raise High the Roof Beam, Carpenters (1955)
“Propaganda does not aim to elevate man, but to make him serve.”
Vintage, p. 38
Propaganda: The Formation of Men's Attitudes (1965)
Orgini e dottrina del fascismo, Rome: Libreria del Littorio, (1929). Origins and Doctrine of Fascism, A. James Gregor, translator and editor, Transaction Publishers (2003) p. 31
Raise High the Roof Beam, Carpenters and Seymour: An Introduction (1963), Raise High the Roof Beam, Carpenters (1955)
“Every definition implies an axiom, since it asserts the existence of the object defined.”
Part II. Ch. 2 : Mathematical Definitions and Education, p. 131
Science and Method (1908)
Context: Every definition implies an axiom, since it asserts the existence of the object defined. The definition then will not be justified, from the purely logical point of view, until we have proved that it involves no contradiction either in its terms or with the truths previously admitted.
Source: Antifragile: Things That Gain From Disorder