Georg Simmel (1858–1918) German sociologist, philosopher, and critic
Source: The Metropolis and Modern Life (1903), p. 414
Source: A Treatise On Political Economy (Fourth Edition) (1832), Book I, On Production, Chapter XVII, Section III, p. 188
Georg Simmel (1858–1918) German sociologist, philosopher, and critic
Source: The Metropolis and Modern Life (1903), p. 414
Ali Hujwiri book Kashf ul Mahjoob
Kashf ul Mahjoob, Chapter I, Affirmation of Knowledge, p. 80
Kashf ul Mahjoob
Joseph Louis Lagrange (1736–1813) Italian mathematician and mathematical physicist
Dans Les Leçons Élémentaires sur les Mathématiques (1795) Leçon cinquiéme, Tr. McCormack, cited in Moritz, Memorabilia mathematica or, The philomath's quotation-book (1914) Ch. 15 Arithmetic, p. 261. https://archive.org/stream/memorabiliamathe00moriiala#page/260/mode/2up
Gottlob Frege book The Foundations of Arithmetic
Gottlob Frege (1950 [1884]). The Foundations of Arithmetic. p. 99.
Adam Smith (1723–1790) Scottish moral philosopher and political economist
Source: (1776), Book IV, Chapter V, p. 577.
George Holmes Howison (1834–1916) American philosopher
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
Pierre de Fermat (1601–1665) French mathematician and lawyer
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) <br class="br">Context: 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.
Howard H. Aiken (1900–1973) pioneer in computing, original conceptual designer behind IBM's Harvard Mark I computer
"Proposed Automatic Calculating Machine" (1937)