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

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178 johannes hafner and paolo mancosuFriedman, Michael (1974), ‘Explanation and scientific understanding’, Journal <strong>of</strong> <strong>Philosophy</strong>,71, 5–19.Hafner, Johannes and <strong>Mancosu</strong>,Paolo(2005), ‘The varieties <strong>of</strong> mathematical explanation’,in P. <strong>Mancosu</strong>, K. Jørgensen, and S. Pedersen (eds.), Visualization, Explanationand Reasoning Styles in Mathematics (Dordrecht: Springer), 215–250.Kitcher, Philip(1981), ‘Explanatory unification’, <strong>Philosophy</strong> <strong>of</strong> Science, 48, 507–531.(1984), The Nature <strong>of</strong> <strong>Mathematical</strong> Knowledge (<strong>Oxford</strong>: OUP).(1989), ‘Explanatory unification and the causal structure <strong>of</strong> the world’, inP. Kitcher and W. Salmon (eds.), Scientific Explanation, vol. XIII <strong>of</strong> Minnesota Studiesin the <strong>Philosophy</strong> <strong>of</strong> Science (Minneapolis: University <strong>of</strong> Minnesota Press), 410–505.Resnik, MichaelD.andKushner, David (1987), ‘Explanation, independence, andrealism in mathematics’, British Journal for the <strong>Philosophy</strong> <strong>of</strong> Science, 38, 141–158.Seidenberg, A.(1954), ‘A new decision method for elementary algebra’, Annals <strong>of</strong>Mathematics, 60, 365–374.(1958), ‘Comments on Lefschetz’s principle’, The American <strong>Mathematical</strong> Monthly,65, 685–690.Steiner, Mark(1978), ‘<strong>Mathematical</strong> explanation’, Philosophical Studies, 34, 135–151.Tappenden, Jamie (2005), ‘Pro<strong>of</strong>-style and understanding in mathematics I: visualization,unification and axiom choice’, in P. <strong>Mancosu</strong>, K. Jørgensen, and S. Pedersen(eds.), Visualization, Explanation and Reasoning Styles in Mathematics (Dordrecht:Springer), 147–214.Tarski, Alfred(1951), A Decision Method for Elementary Algebra and Geometry, 2nd edn(Berkeley: University <strong>of</strong> California Press).Weber,ErikandVerhoeven,Liza(2002), ‘Explanatory pro<strong>of</strong>s in mathematics’, Logiqueet Analyse, 45(179–180), 299–307 [appeared 2004].

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