Michael Detlefsen

McMahon-Hank Professor of Philosophy (II)
Distinguished Guest Professor, University of Paris7-Diderot, 2011-
Contact Information
Mailing Address:
Department of Philosophy
University of Notre Dame
100 Malloy Hall
Notre Dame, IN 46556
Phone: (574)-631-7399
E-Mail: mdetlef1@nd.edu
Office: 408 Malloy
Office Hours:
Curriculum Vitae
TransCoop Project
Ideals of Proof
Education:
Ph.D., Johns Hopkins.
Areas of Interest:
Logic, Philosophy of Mathematics.
Selected Bibliography
Lectures
Inaugural lectures for chaire d'excellence
:
ENS Lectures (Oct 2008): "In Search of Formalism"
- In Search of Formalism.L1f.HO.pdf
- In Search of Formalism.L2 f.HO.pdf
- In Search of Formalism.L3f.HO.pdf
- In Search of Formalism.L4f.HO.pdf
ENS Lectures (Fall 2009): "Gödel's Theorems & Their Consequences"
- Gödel's Theorems.L1.Background and Basics.Circ.pdf
- Gödel's Theorems.L2.The Representation of Metamathematics.Circ..pdf
- Gödel's Theorems.L3.Gödel's Theorems & Hilbert's Program.Circ..pdf
- Gödel's Theorems & Mechanist Views of Mind.Circ..pdf
Papers
Select Recent Articles:
- "Dedekind Against Intuition: Rigor, Scope and the Motives of his Logicism", in Logic and Knowledge, Cellucci, Graosholz and Ippoliti (eds.), Cambridge Scholars Publishing, 2011, 205--217
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"Discovery, Invention and Realism: Gödel and others on the Reality of Concepts'', in Mathematics & Its Significance, John Polkinghorne (ed.), 73--96, Oxford University Press, 2011.
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"Purity of Methods", with Andy Arana, Philosophers' Imprint 11:2 (2011): 1--20
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“Rigor, Re-proof and Bolzano’s Critical Program”, Bour, P. et al. (eds.), in Construction, Festschrift for Gerhard Heinzmann, pp. 171–184, King’s College Publications, 2010
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“Proof: Its Nature and Significance”, Proof and Other Dilemmas: Mathematics and Philosophy, Bonnie Gold and Roger Simons (eds.), 3–32, Cambridge University Press, 2009
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“Purity as an Ideal of Proof ”, The Philosophy of Mathematical Practice, Paolo Mancosu (ed.), 179–197, Oxford University Press, 2008
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Interview, in Philosophy of Mathematics: 5 Questions, H. Leitgeb and V. Hendricks (eds.), 87–99, Automatic Press/VIP, 2007.
Select Online Articles:
- "Löb's Theorem as a Limitation on Mechanism", Minds and Machines (2002): 353-381.
- What does Gödel's Second Incompleteness Theorem Say? Philosophia Mathematica 9 (2001): 37-71.
- Poincare vs. Russell on the Role of Logic in Mathematics Philosophia Mathematica 1 (1993): 24-49.
- "Brouwerian Intuitionism", Mind, vol. 99, 501-534, 1990
- "The Four-Color Theorem and Mathematical Proof" The Journal of Philosophy 77 (1980): 803-820.
Books:
- Proof and Knowledge in Mathematics (1991)
- Proof, Logic, Formalization (1991)
- Hilbert's Program (1986)