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Mancosu - Philosophy of Mathematical Practice (Oxford, 2008).pdf

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194 michael detlefsenAristotle (anc3), Metaphysics, <strong>Oxford</strong> Translations, ed. W. D. Ross and J. A. Smith,trans. W. D. Ross (<strong>Oxford</strong>: OUP) 1908–1954.(anc4), Physics, <strong>Oxford</strong> Translations, ed. W. D. Ross and J. A. Smith, trans.R.P. Hardie and R. K. Gaye (<strong>Oxford</strong>: OUP) 1908–1954.Arnauld, A.The Art <strong>of</strong> Thinking, English translation <strong>of</strong> the 1662 French original byJ. Dick<strong>of</strong>f & P. James (Indianapolis: Bubbs-Merrill, 1964).Bank<strong>of</strong>f, L.(1958), ‘An elementary pro<strong>of</strong> <strong>of</strong> the Erdös-Mordell theorem’, American<strong>Mathematical</strong> Monthly, 65, 521.Bolzano, Bernhard (1804), Betrachtungen über einige Gegenstände der Elementargeometrie(Prague: Karl Barth). English translation <strong>of</strong> the preface in Ewald (1996), vol. I. Pagereferences are to this translation.(1810), Beiträge zu einer begründeteren Darstellung der Mathematik,(Prague:C.Widtmann).English translation in Ewald (1996), vol. I. Page references are to thistranslation.(1817a), ‘Purely analytic pro<strong>of</strong> <strong>of</strong> the theorem that between any two values whichgive results <strong>of</strong> opposite sign there lies at least one real root <strong>of</strong> the equation’. Englishtranslation <strong>of</strong> 1817 German original in Ewald (1996).(1817b), ‘Die drey Probleme der Rectification, der Complanation und derCubierung, ohne Betrachtung des unendlich Kleinen, ohne die Annahme desArchimedes und ohne irgend eine nicht streng erweisliche Voraussetzung gelöst;zugleich als Probe einer gänzlichen Umgestaltung der Raumwissenschaft allenMathematikern zur Prüfung vorgelegt’ (Leipzig: Gotthelf Kummer).(1930), Funktionlehre, K. Rychlik (Prague: Königliche Bömische Gesellschaft derWissenschaften). Written in 1834.(2004), The <strong>Mathematical</strong> Works <strong>of</strong> Bernard Bolzano, trans.S.Russ(<strong>Oxford</strong>:OUP).Cicero, Treatise on Topics in The Orations <strong>of</strong> Marcus Tullius Cicero, trans.C.D.Yonge,4 vols., vol. IV, 458–486 (London: G. Bell and Sons) 1894–1903.Dedekind, Richard (1872), ‘Continuity and irrational numbers’, in Essays on the Theory<strong>of</strong> Number (Eng.trans.byW.W.Beman<strong>of</strong>the1872 German original) (Dover: NewYork, 1963).(1877), ‘Sur la théorie des nombres entiers algebriques’, Bulletin des Sciencesmathématiques et astronomiques, 1re série, tome XI, 2e série, tome II, 1876, 1877.Reprinted in Gesammelte mathematische Werke,vol.3, ed. Richard Dedekind, RobertFricke, Emmy Noether, Øystein Ore (Braunschweig: Vieweg, 1930).Diamond, Harold(1982), ‘Elementary methods in the study <strong>of</strong> the distribution <strong>of</strong>prime numbers’, Bulletin <strong>of</strong> the American <strong>Mathematical</strong> Society, 7, 553–589.Dieudonné, Jean(1969), Linear Algebra and Geometry (New York: Houghton Mifflin)Engl.trans.<strong>of</strong>Algèbre Linéaire et Géométrie Élémentaire (Paris: Hermann, 1964).Edmonds, Allan (1986),‘A topological pro<strong>of</strong> <strong>of</strong> the equivalent Dehn lemma’, Transactions<strong>of</strong> the American <strong>Mathematical</strong> Society, 297, 605–615.Erdös,Paul(1949),‘On a new method in elementary number theory which leads to anelementary pro<strong>of</strong> <strong>of</strong> the prime number theorem’, Proceedings <strong>of</strong> the National Academy<strong>of</strong> Sciences <strong>of</strong> the United States <strong>of</strong> America, 35, 374–384.

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