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

xbiographies(OUP 1988). He has recently co-edited the volume Visualization, Explanationand Reasoning Styles in Mathematics (Springer 2005). He is currently working onmathematical explanation and on Tarskian themes (truth, logical consequence,logical constants) in philosophy of logic.Kenneth Manders (Ph.D.,U.C.Berkeley,1978) is Associate Professor ofphilosophy at the University of Pittsburgh, with a secondary appointmentin History and Philosophy of Science, and fellow of the Center for Philosophyof Science. He was a fellow of the Institute for Advanced Study inthe Behavioral Sciences and NEH fellow, and has held a NATO postdoctoralfellowship in science (at Utrecht), an NSF mathematical sciences postdoctoralfellowship (at Yale), and a Howard Foundation Fellowship. His researchinterests lie in the philosophy, history, and foundations of mathematics; and ingeneral questions on relations between intelligibility, content, and representationalor conceptual casting. He is currently working on a book on geometricalrepresentation, centering on Descartes. He has published a number of articleson philosophy of mathematics, history of mathematics, model theory,philosophy of science, measurement theory, and the theory of computationalcomplexity.Jamie Tappenden is an Associate Professor in the Philosophy Departmentof the University of Michigan. He completed a B.A. (Mathematics and Philosophy)at the University of Toronto and a Ph.D. (Philosophy) at Princeton.His current research interests include the history of 17th century mathematics,especially geometry and complex analysis, both as subjects in their own rightand as illustrations of themes in the philosophy of mathematical practice. Asboth an organizing focus for this research and as a topic of independent interest,Tappenden has charted Gottlob Frege’s background and training as a mathematicianand spelled out the implications of this context for our interpretationof Frege’s philosophical projects. Representative publications are: ‘Extendingknowledge and ‘‘fruitful concepts’’: Fregean themes in the philosophy ofmathematics’ (Noûs 1995) and ‘Proof Style and Understanding in MathematicsI: Visualization, Unification and Axiom Choice’, in P. Mancosu et al. (eds.),Visualization, Explanation and Reasoning Styles in Mathematics (Springer 2005).His book on 19th century mathematics with special emphasis on Frege is to bepublished by Oxford University Press.Alasdair Urquhart is a Professor in the Departments of Philosophy andComputer Science at the University of Toronto. He studied philosophy asan undergraduate at the University of Edinburgh, and obtained his doctorate