Department of Philosophy University of Michigan 435 S. State St Angell Hall Ann Arbor, MI

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Jamie Tappenden Associate Professor of Philosophy, University of Michigan Department of Philosophy University of Michigan 435 S. State St. 2215 Angell Hall Ann Arbor, MI 48109-1003 Email: tappen@umich.edu Education University of Toronto BA (Mathematics and Philosophy) 1984 Princeton University PhD (Supervisor: Saul Kripke) 1992 Areas of Specialisation Philosophy and History of Mathematics, Philosophical Logic, History of Analytic Philosophy, Frege Areas of Competence Philosophy of Language, Mathematical Logic, Philosophy of Science,, History of Philosophy (especially Kant, Nietzsche, Kierkegaard and the Enlightenment), Ethics, Philosophy of Law, Probability and Decision Theory Academic Employment Instructor in Philosophy, University of Pittsburgh 1989-1992 Assistant Professor of Philosophy, University of Pittsburgh 1992 1997 Visiting Assistant Professor of Philosophy, University of California, Berkeley 1992 1993 Visiting Assistant Professor of Philosophy, Harvard University, 1994 1995 Assistant Professor of Philosophy, University of Michigan 1997 2003 Associate Professor of Philosophy, University of Michigan 2003 - present Visiting Lecturer, Oslo University, Spring 2009 Visiting Professor, University of Paris VII (Denis Diderot) Spring 2010 Fellowships and Awards Leave Fellowship, University of Michigan Institute for the Humanities 2006-2007 Excellence in Teaching Award, University of Michigan College of Literature, Arts and Sciences 1999 Fellow, Pittsburgh Center for Philosophy of Science 1989-1997 Princeton Graduate Fellowship 1984 1985, 1988-1989 Social Sciences and Humanities Research Council of Canada (SSHRC) Graduate Fellowship 1985-1988 Publications The Liar and Sorites Paradoxes: Toward a Unified Treatment Journal of Philosophy Nov. 1993 Reprinted in the collection Vagueness T. Williamson and D. Graff (eds.) Ashgate Publishers 2002 Analytic Truth: It s Worse (or Perhaps Better) than you Thought Philosophical Topics Fall

1993 Geometry and Generality in Frege s Philosophy of Arithmetic Synthèse March 1995 Remarks on Vagueness and a Dynamic Conception of Language Southern Journal of Philosophy Spindel Conference Supplement 1995 Extending Knowledge and Fruitful Concepts : Fregean Themes in the Foundations of Mathematics Noûs, December 1995 Reprinted in The Philosophers Annual 10 Best Essays of 1995 Reprinted in Critical Assessments of Frege M. Beaney and E. Reck (eds.) Routledge, 2006 Metatheory and Mathematical Practice in Frege Philosophical Topics Fall 1997 Condensed and revised version reprinted in Critical Assessments of Frege M. Beaney and E. Reck (eds.) Routledge, 2006 Negation, Denial and Language Change in Philosophical Logic What is Negation? Dov Gabbay ed. Kluwer 1999 (refereed volume) Frege on Axioms, Indirect Proof and Independence Arguments in Geometry Notre Dame Journal of Formal Logic Vol. 41 #3 2000 Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice in Visualization, Explanation and Reasoning Styles in Mathematics Paolo Mancosu and Klaus Jørgensen (eds.) Springer 2005 The Caesar Problem in its Historical Context: Mathematical Background Dialectica vol 59 fasc. 2 (Special issue on the Julius Caesar problem) 2005 The Riemannian Background to Frege s Philosophy in The Architecture of Modern Mathematics: Essays in History and Philosophy J. Ferreirós & J. J. Gray eds. Oxford University Press 2006 Gottlob Frege Princeton Companion to Mathematics Princeton University Press 2007 An Atheist s Fundamentalism in Philosophers Without Gods L. Anthony ed. Oxford University Press 2007 Mathematical Concepts and Definitions in The Philosophy of Mathematical Practice P. Mancosu, (ed.) Oxford University Press 2009 Concepts mathématiques et définitions : French translation to appear in a volume on contemporary philosophy of mathematics, published by Vrin, edited by Ivahn Smadja Mathematical Concepts: Fruitfulness and Naturalness in The Philosophy of Mathematical Practice P. Mancosu, (ed.) Oxford University Press 2009 A Primer on Ernst Abbe for Frege Readers Canadian Journal of Philosophy Supplementary

Volume 2011 Définitions mathématiques pour philosophes Les Études Philosophiques 2011 Fruitfulness as a Theme in the Philosophy of Mathematics Journal of Philosophy CIX number 1,2 January/February 2012 Logical and Mathematical Background to the History of Analytic Philosophy Handbook of the History of Analytic Philosophy Michael Beaney, ed. Oxford University Press 2013 Infinitesimals, Magnitudes and Definition in Frege Essays on Frege s Basic Laws of Arithmetic Marcus Rossberg and Philip Ebert eds. forthcoming from Oxford University Press (refereed volume) Frege, Karl Snell and Romanticism; Fruitful Concepts and the `Organic/Mechanical' Distinction in preparation `My Revered Teacher Karl Snell': Fruitfulness, Discovery and System in Frege and his Environment in preparation Deduction, Independence and Duality in Frege in preparation Reflections on Mathematical Explanation (Why do Elliptic Functions have Two Periods?) in preparation Critical Survey (invited): Recent Work in the Philosophy of Mathematics Journal of Philosophy XCVIII 9 September 2001 Published Reviews and Symposium Contributions: Review of Van McGee Truth, Vagueness, and Paradox in Philosophical Review 1994 Review of Shaughn Lavine Understanding the Infinite in Journal of Symbolic Logic 1999 Invited contribution to a symposium on Scott Soames Understanding Truth, with replies by the Author, Philosophy and Phenomenological Research September 2002 Invited contribution to a symposium on Kit Fine The Limits of Abstraction, with replies by the Author, Philosophical Studies 2005 Manuscript: Philosophy and the Origins of Contemporary Mathematics: Frege and his Mathematical Context in progress, to appear with Oxford University Press Edited Collection: Canadian Journal of Philosophy Special Issue: Truth And Values. Essays for Hans Herzberger co-edited with Achille Varzi and William Seager 2011

Other: "History of the Department of Philosophy at Michigan" for University of Michigan Bicentennial website written 2013 Frege and Karl Snell: Idealism, Romanticism, and the History of Analytic Philosophy U. of Michigan Philosophy Department Newsletter Nov. 2016 Invited Talks and Presentations of Work in Progress: Frege, Carl Snell and Romanticism; Fruitful Concepts and the `Organic/Mechanical' Distinction Department of Philosophy, McMaster University, February 2017 Department of Philosophy, University of Bergen (Norway) June 2016 Canadian Society for the History and Philosophy of Mathematics Plenary Address Calgary, May 2016 Midwest Philosophy of Mathematics Workshop Notre Dame November 2015 Reflections on Mathematical Explanation (Why do Elliptic Functions have Two Periods?) PoSe session, University of Michigan November 2016 Plenary Address, Canadian Mathematical Association Meetings Montréal December 2015 Association for the Philosophy of Mathematical Practice Conference, Paris, November 2015 Department of Philosophy, Ohio State University April 2015 (previous versions:) University of Paris VII June 2010 Graduate Center, City University of New York November 2004 Philosophy Department, McGill University March 2004 Conference on the Philosophy of Pure and Applied Mathematics UC Irvine March 2004 Philosophy Department, Columbia University Nov. 2002; Logic and Philosophy of Science group, University of Toronto Nov. 2002; ``What Depth and Fruitfulness might Teach us about Methodology" Conference on Mathematical Depth UC Irvine April 2014 Talk and discussion online at conference site: https://www.youtube.com/watch?v=ityjwqflxb0 Richness and Cognitive Value in the Aesthetics of Mathematics 14th Congress of Logic, Methodology and Philosophy of Science, Nancy, France July 2011, University of Salvador, Bahia, Brazil October 2011, Case Western University March 2013 Dedekind as Philosopher Working Group on History and Philosophy of Mathematics REHSEIS, University of Paris VII (Denis Diderot) December 2011 Dedekind as Interpreter of Riemann What Makes Modern Mathematics different from Classical

Mathematics IPHST University of Paris I (ENS) December 2011 Mathematical Definition for Philosophers Philosophy Department, University of Waterloo, November 2010 Branching at Branch Points: Interpretations of Riemann Surface as a Fork in the Road to Contemporary Mathematics Mathematical Practice colloquium, Sandbjerg, Denmark June 2009 and `Ideals of Proof' colloquium Pont-a-Mousson France June 2009\\ Defining a Function by its Inner Characteristic Properties : Riemann and Dedekind CNRS Symposium Contribution: University of Paris VII - Diderot, April 2008 Conjecture and Natural Properties in Mathematical Practice History of Mathematics Seminar: University of Paris VII - Diderot, April 2008 Haverford/Swarthmore Philosophy of Mathematics colloquium April 2008 Riemann-Dedekind Methodology and Nineteenth Century Logic Invited Address: Association for Symbolic Logic Annual Meeting, Irvine March 2008 Grand Valley State University November 2008 Function, Thought and Fruitfulness in Nineteenth Century Logic and Mathematics Invited Symposium Contribution: American Philosophical Association Pacific Division Meeting, Pasadena March 2008 The History of Modern Mathematics and the Emergence of Modern Logic University of Miami, Jan. 2008 `Thought and `Tiresome Calculations in Nineteenth Century Complex Analysis University of Notre Dame October 2007 What Foundational Crisis? conference, Montréal Oct. 2011 Mathematical Properties Conference in Honor of Paul Benacerraf, Princeton May 2007 The Prehistory of Semantics in Nineteenth-century Mathematics Invited contribution, Eastern Division APA, December 2006, Conference on Methods in Model Theory, École Normale Superior, Paris June 2010 Mathematical Concepts Presentation to the Logic and Methodology Seminar, UC Berkeley, November 2006 and Philosophy Colloquium, Kansas State University October 2006 Transfer Principles: A Contribution to the Prehistory of Semantics HOPOS conference Paris June 2006, 200 Years of Analytical Philosophy: 4th International Symposium for Cognition, Logic and Communication, Riga August 2008 Reflections on Mathematical Explanation Wayne State University, March 2006, Philosophy of

Science Association, Vancouver November 2006 Visualization and Fruitful Conceptual Representation Conference on mathematical proof in Lille, May 2005 Analysis and Notation in Frege and his Mathematical Surroundings Oxford conference on the history of analysis March-April 2005 Faculty colloquium, University of Alberta, April 2005 Geometry and Duality in Frege s Conception of Logic Seminar to the Philosophy Department, McGill University March 2004 Invited talk, Conference on History and Philosophy of Mathematics, Seville Sept. 2003 Presentation to the Working Group in Logic and Foundations of Mathematics, Notre Dame University December 2001 Proof Styles in Geometry Philosophy Department Colloquium, Cambridge (UK) June 2002 Philosophy Department Colloquium, Ohio State University, May 2002 Mathematics as Rational Activity conference in Roskilde, Denmark November 2001 Invited Talk, Joint Session: Central APA and Association for Symbolic Logic Minneapolis May 2001 Frege as Mathematician Frege conference, Leyden, Netherlands, August 2001 A Reassessment of the Mathematical Roots of Frege s Logicism: Some History, Some Philosophy Department of Logic and Philosophy of Science, University of California Irvine December 2000, Notre Dame Conference on Logicism and Paradox May 2001, Frege in Context conference in Leyden, Netherlands, August 2001, Open University Centre for the History of Mathematical Sciences/University of London conference on History and Philosophy of Mathematics May 2002 University of California, Berkeley Department of Philosophy April 2003 York University (Toronto) Department of Mathematics and Statistics Colloquium April 2003 Permutation Invariance in Frege s Foundations of Logic Invited contribution, Association for Symbolic Logic Summer meetings, Urbana July 2000 Presented to University of Michigan Logic Group Colloquium Winter 2000 Proof Style and Understanding in Mathematics Invited Talk, Joint Session: Pacific APA and Association for Symbolic Logic San Francisco April 1997, Philosophy Colloquium at Amherst College April 1997, University of Chicago Committee on Conceptual Foundations of Science Colloquium Spring 1997 Uniformity and Generality in Mathematics (A new Riddle of Deduction) Carnegie Mellon Philosophy Colloquium May 1996, Pittsburgh Philosophy Department Faculty Colloquium November 1995, Harvard University Philosophy of Mathematics Seminar October 1996,

Princeton University Philosophy Department Colloquium November 1996, Invited Talk, APA Central Division Meetings Spring 2001 Philosophical Themes in the Development of Algebraic Geometry Pittsburgh Center for Philosophy of Science Conference on Philosophy of Mathematics November 1995 Self-Reflectiveness in Mathematics Philosophy Colloquium, Harvard University April 1995 Negation, Denial and Language Change in Philosophical Logic Faculty Colloquium, University of Pittsburgh Fall 1994, Columbia University Department of Philosophy Spring 1994 Extending Knowledge and Fruitful Concepts : Fregean Themes in the Philosophy of Mathematics Philosophy of Mathematics Seminar, Princeton Spring 1994, University of Pittsburgh Philosophy Faculty Colloquium Spring 1994, Philosophy of Mathematics Seminar Boston University Fall 1995 A Confutation of Degrees of Truth and a Moral for Semantics Conference on Semantics and Discourse U.C. Berkeley April 1993 Cognitive Sciences Colloquium U.C. Berkeley March 1993 Analytic Truth: It s Worse (or Perhaps Better) than you Thought Philosophy of Language Seminar, University of Michigan Spring 1991, Philosophy Colloquium, University of Manitoba Spring 1989, Philosophy Colloquium,York University (Toronto) Spring 1989, Philosophy Colloquium, University of California, Berkeley, Spring 1993 Bréal Revisited: an Old Message in a New Context Joint University of Pittsburgh/Duquesne University conference on Approaches to Interpretation Spring 1990 The Strengthened Liar, Iterated Induction and Higher Type Recursion University of Pittsburgh Department of Philosophy February 1989, CUNY Graduate Center Department of Computer Science April 1989 Remarks on Vagueness and a Dynamic Conception of Language Spindel Conference Memphis 1995 The Liar and Sorites Paradoxes: Toward a Unified Treatment Princeton University Philosophy Colloquium Winter 1989, Sydney University Philosophy Colloquium, Summer 1986, University of Texas, Austin, Philosophy Colloquium, Winter 1989, University of Pittsburgh Center for Philosophy of Science Colloquium Fall 1990

Invited Commentary: Comments on Kit Fine The Limits of Abstraction Author Meets Critics Session Eastern APA December 2004 Comments on Joan Weiner Semantic Descent Pacific APA March 2004 Comments on Crispin Wright and Bob Hale The Reason s Proper Study Author Meets Critics session Pacific APA April 2003 Comments on Steven Yablo The Myth of the Seven Pacific APA Spring 2000 Comments on Shaughn Lavine Understanding the Infinite Author Meets Critics session, Eastern Division APA Winter 1996 Comments on Penelope Maddy Naturalism in Mathematics Central APA Spring 1996 Comments on Gary Ebbs Externalism and Content Central APA Spring 1995 Comments on George Lakoff Metaphor conference on Semantics and Discourse UC Berkeley Spring 1993 Comments on Roy Sorensen Paradoxes of Vagueness Pacific APA Spring 1993 Comments on Jon Barwise and John Etchemendy The Liar Author Meets Critics Session Pacific APA Spring 1990 Other Professional Activity: Editor: Review of Symbolic Logic 2016 - present Reviewer/Referee for Journal of Philosophical Logic, Bulletin of Symbolic Logic, Journal of Symbolic Logic, Philosophical Studies, Journal of Philosophy, Philosophy Compass, Philosophia Mathematica, Philosophy of Science, Synthèse, Notre Dame Journal of Philosophical Logic, Noûs, Mind, The Philosopher s Imprint, Canadian Journal of Philosophy, Inquiry, Dialectica, Harvard University Press, Routledge, Oxford University Press, Cambridge University Press, Connaught Fellowship Committee (Toronto), Social Sciences and Humanities Research Council of Canada (SSHRC) Promotion/Tenure referee (anonymous) for several tenure and promotion cases Editorial Boards: Philosophical Studies, The Philosopher s Imprint, Philosophy Compass, Review of Symbolic Logic Advisory Boards: Arché Grundgesetze translation project Contributor to Mathematical Reviews Co-Organizer, Pittsburgh Center for Philosophy of Science Conference on History and Philosophy of Mathematics, November 1995 Program Committee, Central Division APA 2006, Association for Symbolic Logic 2006 Co-Organizer, Logic, Linguistics & Artificial Intelligence, a Workshop in Honor of Rich Thomason, University of Michigan, November 2010 Governing Board, Association for the Philosophy of Mathematical Practice