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

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352 jeremy avigadCarr, David (1979), ‘The logic <strong>of</strong> knowing how and ability’, Mind, 88, 394–409.Chou, C. C., Gao, X. S., and Zhang, J. Z. (1994), Machine Pro<strong>of</strong>s in Geometry(Singapore: World Scientific).Dickson, Leonard Eugene (1966), History <strong>of</strong> the Theory <strong>of</strong> Numbers, vols. I–III (NewYork: Chelsea Publishing Co.).Euclid, The Thirteen Books <strong>of</strong> Euclid’s Elements Translated from the Text <strong>of</strong> Heiberg, trans.with introduction and commentary by Thomas L. Heath, 2nd edn, vols. I–III (NewYork: Dover Publications).Goldfarb, Warren (1985), ‘Kripke on Wittgenstein on rules’, Journal <strong>of</strong> <strong>Philosophy</strong>, 82,471–488.Graham, Ronald L., Knuth, Donald E., and Patashnik, Oren (1994), ConcreteMathematics: a Foundation for Computer Science, 2nd edn (Reading, MA: Addison-Wesley).Hardy, G. H., Littlewood, J.E.,andPólya, G.(1988), Inequalities (Cambridge:Cambridge University Press), repr. <strong>of</strong> 1952 edn.Hilbert, David (1899), ‘Grundlagen der Geometrie’, in Festschrift zur Feier der Enthüllungdes Gauss-Weber Denkmals in Göttingen (Leipzig: Teubner). Trans. by Leo Unger(1971) asFoundations <strong>of</strong> geometry (La Salle: Open Court).Hunt, Warren A., Krug, Robert Bellarmine, and Moore, J. (2003), ‘Linear andnonlinear arithmetic in ACL2’, in Daniel Geist and Enrico Tronci (eds.), CorrectHardware Design and Verification Methods, Proceedings <strong>of</strong> CHARME 2003, 319–333(Berlin: Springer-Verlag).Kripke, Saul(1982), Wittgenstein on Rules and Private Language (Cambridge, Mass.:Harvard University Press).Miller, Nathaniel (2001), A Diagrammatic Formal System for Euclidean Geometry, Ph.D.thesis, Cornell University.Mumma, John (2006), Intuition Formalized: Ancient and Modern Methods <strong>of</strong> Pro<strong>of</strong> inElementary Geometry, Ph.D. thesis, Carnegie Mellon University.Nelson, GregandOppen, Derek C. (1979), ‘Simplification by cooperating decisionprocedures’, ACM Transactions <strong>of</strong> Programming Languages and Systems, 1, 245–257.Pasch, Moritz(1882), Vorlesungen über neueren Geometrie (Leipzig: Teubner).Poincaré, Henri(1908), Science et Méthode (Paris: Flammarion). Trans. by FrancisMaitland in 1914 as Science and Method (London: T. Nelson and Sons, 1914),republished in 2003 (Mineola, NY: Dover Publications).Ryle, Gilbert (1949), The Concept <strong>of</strong> Mind (Chicago, IL: University <strong>of</strong> Chicago Press).Steele, J. Michael (2004), The Cauchy–Schwarz Master Class: an Introduction to the Art <strong>of</strong><strong>Mathematical</strong> Inequalities (Washington, DC: <strong>Mathematical</strong> Association <strong>of</strong> America).Tait, William W. (1986), ‘Wittgenstein and the ‘‘skeptical paradoxes’’ ’, Journal <strong>of</strong><strong>Philosophy</strong>, 83, 475–488.Tarski, Alfred(1951), A Decision Procedure for Elementary Algebra and Geometry, 2ndedn (University <strong>of</strong> California Press). Reprinted in B. F. Caviness and J. R. Johnson(eds.) Quantifier Elimination and Cylindrical Algebraic Decomposition, 24–84 (Vienna:Springer-Verlag, 1988).

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