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

368 colin mclartyFlament, Dominique (2003), Histoire des Nombres Complexes: Entre Algèbre et Géométrie(CNRS éditions, Histoire des sciences).Hellman, Geoffrey(1989), Mathematics Without Numbers (Oxford: Oxford UniversityPress).Hocking, John and Young, Gail(1961), Topology (Reading: Addison-Wesley).Krieger, Martin(2003), Doing Mathematics (London: World Scientific).Krömer,Ralf(2007), Tool and Object: A History and Philosophy of Category Theory (NewYork: Birkhäuser).Lang, Serge (1993), Algebra (Reading: Addison-Wesley).(2005), Undergraduate Algebra (New York: Springer-Verlag).Lawvere, F. William (1963), Functorial Semantics of Algebraic Theories, Ph.D. thesis,Columbia University. Republished with commentary by the author in: Reprints inTheory and Applications of Categories, No.5 (2004) pp. 1–121. .(1964), ‘An elementary theory of the category of sets’, Proceedings of the NationalAcademy of Science of the USA, 52, 1506–1511.(1966), ‘The category of categories as a foundation for mathematics’, in SamuelEilenberg et al. (eds.), Proceedings of the Conference on Categorical Algebra, La Jolla, 1965,1–21 (New York: Springer-Verlag).(1998), Categories for the Working Mathematician, 2nd edn (New York: Springer-Verlag).(2005), A Mathematical Autobiography (Natich, MA: A. K. Peters).Macbride, Fraser(2005), ‘Structuralism reconsidered’, in S. Shapiro (ed.), The OxfordHandbook of Philosophy of Mathematics and Logic (Oxford: Oxford University Press)pp. 563–589.Mac lane, Saunders (1986), Mathematics: Form and Function (New York: Springer-Verlag).Mclarty, Colin (1993), ‘Numbers can be just what they have to’, Noûs, 27, 487–498.(2004), ‘Exploring categorical structuralism’, Philosophia Mathematica, 37–53.Maddy, Penelope (2005), ‘Three forms of naturalism’, in S. Shapiro (ed.), OxfordHandbook of Philosophy of Logic and Mathematics (Oxford: Oxford University Press)pp. 437–459.Mazur, Barry (2003), Imagining Numbers (Particularly the Square Root of Minus Fifteen)(New York: Farrar, Straus and Giroux).Monastyrsky, Michael (1998), Modern Mathematics in the Light of the Fields Medals(Wellesley, MA: A. K. Peters).Nams (2000), ‘Steele Prize for a Seminal Contribution to Research: Barry Mazur’,Notices of the Amer. Math. Soc., 47, 478–479.Poincaré, Henri (1908), ‘L’Avenir des mathématiques’, in Atti del IV CongressoInternazionale dei Matematici, 167–182 (Accademia dei Lincei). Translated in heavilyedited form as ‘The future of mathematics’ in G. Halstead (ed.) The Foundations ofScience. (New York: The Science Press, 1921), pp. 369–382.