Research Interests

I am interested in Kant's philosophy of mathematics and logic, Neo-Kantianism (especially Ernst Cassirer), and early analytic philosophy.  I also have more general interests in the history and philosophy of mathematics and logic.  (For more information, see my Curriculum vitae).

Teaching

• Philosophy of Race (Spring 2012)

• Kant's Critique of Pure Reason (Fall 2011)

• Critical Reasoning (Fall 2011)

• Philosophy of Geometry (Spring 2011). For a draft syllabus, click here.

• Philosophy of Mathematics (Fall 2010)

• Critical Reasoning (Summer 2010)

• History of Analytic Philosophy I: Frege, Russell, and Wittgenstein (Winter 2010)

• History of Analytic Philosophy II: Carnap to Sellars (Spring 2010)

• Kant's Critique of Pure Reason (Fall 2009)

• Kant and Early Analytic Philosophy (Spring 2009)

• Philosophy of Race (Winter 2009)

• Philosophy of Mathematics (Fall 2008)

• Kant's Critique of Pure Reason (Spring 2008)

Publications

• "Ernst Cassirer's Neo-Kantian Philosophy of Geometry," British Journal for the History of Philosophy 2011, vol 19, no 4, pp.759-94. (This paper was awarded the 2011 Rogers Prize by the British Society for the History of Philosophy.)
• "'Critical philosophy begins at the very point where logistic leaves off': Cassirer’s response to Frege and Russell," to appear in Perspectives on Science 2010, vol 18, no 4, pp. 383-408.  (This issue consists of four papers selected from the 2008 meeting of HOPOS.)
• "Attempts to Rethink Logic," to appear in the Cambridge History of Philosophy in the 19th Century, edited by Allen Wood and Songsuk Susan Hahn, 2012.
• "Frege, Lotze, and Boole," to appear in The Historical Turn in Analytic Philosophy, edited by Erich Reck, 201?
• "Ernst Cassirer, Kurt Lewin, and Hans Reichenbach," to appear in The Berlin Group and the Philosophy of Logical Empiricism, edited by Nikolay Milkov and Volker Peckhaus, 201?.
• "Ernst Cassirer's Substanzbegriff und Funktionsbegriff," to appear in HOPOS, 201?.

Current Projects (for more on my current projects, click here)

• "The Priority Principle from Kant to Frege" (draft)
• "Kant on Parallel Lines" (draft)
• "Kant versus Leibniz and Lambert on Real Definitions in Geometry"
• "Leibniz versus Kant on Euclid's Axiom of Parallels"
• "Realism, Functions, and the A Priori: Ernst Cassirer's Philosophy of Science"
• "Neo-Kantianism," to appear in the Stanford Encyclopedia of Philosophy
• "Lotze and Analytic Philosophy," to appear in Philosophy Compass

Other Work

• Review of The Cambridge Companion to Frege, edited by Michael Potter and Tom Ricketts. In Notre Dame Philosophical Reviews, November 2011
• The Fact of Modern Mathematics: Geometry, Logic, and Concept Formation in Kant and Cassirer, a dissertation defended in Sept 2007
• Review of The Origins of Analytic Philosophy: Kant and Frege by Delbert Reed.  In Notre Dame Philosophical Reviews, September 2008

Recent Talks

• "The Geometry Behind Poincaré's Conventionalism", PSA 2012
• "Should Kant have thought that logic was complete since Aristotle?" University of Pittsburgh, April 2012
• "Substance, function, and the a priori," APA Pacific Division, April 2012
• "Kant on Parallel Lines," California State University, Long Beach, March 2011
• "Kant on Parallel Lines," The Pacific Study Group of the North American Kant Society, Claremont, CA, December 2010
• "Ernst Cassirer on 'Substance-concepts' and 'Function-concepts'", HPLMS Group, University of California, Berkeley, November 2010 (ppt) (text)
• "Ernst Cassirer on 'Substance-concepts' and 'Function-concepts'", Conference on Mathematical Analysis and the Origins of Analytic Philosophy, York, September 2010
• "Kant on Parallel Lines," given at HOPOS 2010, Budapest, Hungary, June 2010 (ppt)
• "Substance-concepts and Function-concepts," given at the conference "The Kantian Legacy in the Philosophy of Mathematics," Turin, Italy, May 2010 (handout)
• "The Priority Principle from Kant to Frege," given at FregeFest 2010, Irvine (ppt) (text)
• "Frege, Lotze, and Boole," given at the SoCal HPLM group, February 2010
• "Ernst Cassirer's Neo-Kantian Philosophy of Geometry," given at University of California, San Diego, January 2010
• "Ernst Cassirer and the Berlin Group," given at a conference on Hans Reichenbach and the Berlin Group, the University of Paderborn, Germany, September 2009 (handout) (text)
• "The Priority Principle from Kant to Frege," given at University of North Carolina, Chapel Hill, April 2009
• "Concepts from Kant to Frege," given at University of California, Riverside, February 2009
• "'Critical philosophy begins at the very point where logistic leaves off': Cassirer’s response to Frege and Russell", given at University of Nevada, Las Vegas, December 2008
• "'Critical philosophy begins at the very point where logistic leaves off': Cassirer’s response to Frege and Russell", given at HOPOS conference, June 2008

Links

• Department of Logic and Philosophy of Science
• Southern California History and Philosophy of Logic and Mathematics Group
• Cincinnati Reds