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

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42 marcus giaquinto<strong>Mancosu</strong>, Paolo(2005), ‘Visualization in logic and mathematics’, in P. <strong>Mancosu</strong>,K. Jørgensen, and S. Pedersen (eds.), Visualization, Explanation and Reasoning Stylesin Mathematics (Dordrecht: Springer-Verlag).Miller, Nathaniel (2001), A Diagrammatic Formal System for Euclidean Geometry, Ph.D.thesis, Cornell University.Montuchi, Paolo and Page, Warren (1988), ‘Two extremum problems’, CollegeMathematics Journal (reprinted 1993), 19, 347.Needham, Tristan(1997), Visual Complex Analysis (<strong>Oxford</strong>: Clarendon).Nelsen, Roger(1993), Pro<strong>of</strong>s Without Words: Exercises in Visual Thinking (WashingtonDC: The <strong>Mathematical</strong> Association <strong>of</strong> America).Norman, Jesse (2006), After Euclid (Stanford: CSLI Publications).Palais, Richard (1999), ‘The visualization <strong>of</strong> mathematics: towards a mathematicalexploratorium’, Notices <strong>of</strong> the American <strong>Mathematical</strong> Society, 46, 647–658.Pasch, Moritz(1882), Vorlesungen über neuere Geometrie (Springer (1926)).Plato, Meno, Sharples R. (ed. & trans.) (Warminster: Aris and Phillips (1985)).Pylyshyn, Zenon (2003), Seeing and Visualizing (Cambridge: Cambridge UniversityPress).Rouse Ball, W.W.(1939), <strong>Mathematical</strong> Recreations and Essays (New York: Mac-Millan).Russell,Bertrand(1901), ‘Recent work on the principles <strong>of</strong> mathematics’, InternationalMonthly, 4 (reprinted as ‘Mathematics and the Metaphysicians’ in Russell (1918)),83–101.Sawyer,Warwick(1964), Vision in Elementary Mathematics (New York: Dover (2003)).Shimojima, Atsushi (2004), ‘Inferential and expressive capacities <strong>of</strong> graphical representations:survey and some generalizations’, in Diagrammatic Representation and Inference:Third International Conference, Diagrams 2004, Proceedings (Berlin: Springer-Verlag).Shin, Sun-Joo (1994), The Logical Status <strong>of</strong> Diagrams (Cambridge: Cambridge UniversityPress).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-Verlag).Tennant, Neil(1986), ‘The withering away <strong>of</strong> formal semantics?’, Mind & Language,1(4), 302–318.Zimmermann, WalterandCunningham, Steve(1991), Visualization in Teaching andLearning Mathematics (Washington DC: <strong>Mathematical</strong> Association <strong>of</strong> America).

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