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

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mathematical concepts and definitions 273<strong>of</strong> ‘naturalism’ at issue: ‘nothing is more important in science than classifyingand defining well ... [though] it depends much more on our knowledge <strong>of</strong> thesubject matter being discussed than on the rules <strong>of</strong> logic.’BibliographyArnauld, Antoine and Nicole, Pierre (1683), La Logique, ou L’art du Penser, 5th edn.Ed. and trans. by Jill Buroker as Logic, or the Art <strong>of</strong> Thinking (Cambridge: CambridgeUniversity Press, 1996). Page references to the translation.Avigad, Jeremy (2006), ‘Methodology and Metaphysics in the Development <strong>of</strong>Dedekind’s Theory <strong>of</strong> Ideals’ in J. Ferrirós and J. Gray (eds.) The Architecture <strong>of</strong>Modern Mathematics (<strong>Oxford</strong>: <strong>Oxford</strong> University Press), pp. 159–186.Burge, Tyler (1990), ‘Frege on Sense and Linguistic Meaning’, in D. Bell andN. Cooper (eds.),The Analytic Tradition (<strong>Oxford</strong>: Blackwell) pp. 30–60.Chevalley, Claude(1940), ‘La Theorie du Corps de Classes’, Annals <strong>of</strong> Mathematics,41, 394–418.Cox, David (1989), Primes <strong>of</strong> the Form x 2 + ny 2 (New York: Wiley).Dedekind, Richard (1877), ‘Sur la Théorie des nombres entiers algébrique’ (Gauthier-Villars: Paris). Ed. and trans. by J. Stillwell as Theory <strong>of</strong> Algebraic Integers (Cambridge:Cambridge University Press, 1996). Page references to the translation.Dirichlet, Pierre (1854), ‘Über den ersten der von Gauss gegebenen Beweise desReciprocitätsgesetzes in der Theorie der quadratischen Reste’, Journal für die reineund angewandte Mathematik, 47, 139–50 (= Werke II: 121–138).Edwards, Harold(1977), Fermat’s Last Theorem (Berlin: Springer).(1983)‘Euler and Quadratic Reciprocity’, Mathematics Magazine, 56, 285–291.Elgin, Catherine (1999), Considered Judgement (Princeton: Princeton University Press).Enriques, Federigo (1929), The Historic Development <strong>of</strong> Logic (New York: Holt and Co.).Fine, Kit (1994), ‘Essence and Modality’, Philosophical Perspectives, 8, 1–16.Frölich Albrecht and Taylor, MartinJ.(1991), Algebraic Number Theory (Cambridge:Cambridge University Press).Gauss, CarlF.(1801), Disquisitiones Arithmeticae (Leipzig: G. Fleischer) (= Werke I)Trans. with a preface by A. Clarke (New Haven: Yale University Press, 1966). Pagereferences to the translation.(1808), ‘Theorematis arithmetici demonstratio nova’, Commentationes SocietatisRegiæ Scientiarum Göttingensis, 16 (= Werke II 1–8).(1817), ‘Theorematis fundamentalis in doctrina de residuis quadraticis demonstrationeset amplicationes novae’, Werke II 159–164.(1828), ‘Theoria Residuorum Biquadraticorum Commentatio Prima’, Werke II165–68.Goldman, Jay(1998), The Queen <strong>of</strong> Mathematics: A Historically Motivated Guide toNumber Theory (Wellesley, Mass.: A. K. Peters).

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