- Mathematical wit and mathematical cognition. Topics in cognitive science 5(2), 2013, forthcoming.
- The parallel structure of mathematical reasoning. In The argument of mathematics, Andrew Aberdein & Ian Dove, edd. (Dordrecht: Springer-Verlag, forthcoming).
- Presented at AISB/IACAP World Congress 2012, University of Birmingham, July 2012.
- Abridged version in Proceedings of the Symposium on Mathematical Practice and Cognition II: A symposium at the AISB/IACAP World Congress 2012, Alison Pease and Brendan Larvor, edd. (Birmingham: Society for the Study of Artificial Intelligence and the Simulation of Behaviour, 2012), pp. 7-14.
- The judo principle, philosophical method, and the logic of jokes. In Philosophy and The Hitchhiker's Guide to the Galaxy, Nicholas Joll, ed. (London: Palgrave, 2012), pp. 213-35.
- Presented at 5th Annual Lighthearted Philosophers' Society Meeting, Treasure Island, FL, October, 2011.
- The dialectical tier of mathematical proof. In Argumentation: Cognition & community, Frank Zenker, ed. (Windsor, ON: OSSA, forthcoming).
- Antoine Arnauld; Argumentation theory; Chrysippus; Euler's diagrams; Gerolamo Saccheri; Novum Organum; Port Royal Logic; Practical Syllogism; Quantum logic; Rules of inference; Square of opposition; Syllogism; and William S. Jevons. In Key terms in logic, Jon Williamson & Federica Russo, edd. (London: Continuum, 2010).
- Some of these items appeared in The reasoner 3(2), 2009, p. 13; 3(5), 2009, pp. 12-13; 3(8), 2009, p. 15; 4(1), 2010, pp. 12-13; 4(3), 2010, pp. 43-4.
- Strange bedfellows: The interpenetration of philosophy and pornography. In Porn: How to think with kink, Dave Monroe, ed. (Chichester: Wiley-Blackwell, 2010), pp. 22-34.
- Presented at Lighthearted Philosophers' Society, St. Petersburg, FL, October 2009.
- Published in French in La philosophie du porno, Dave Monroe, ed., Marc-Emmanuel Konigson, tr. (Champs-sur-Marne: Original, 2011).
- Published in German as Seltsame Bettgenossen: Die Interpenetration von Philosophie und Pornographie in Philosophie für Verdorbene: Essays über Pornografie, Dave Monroe, ed., Heike Steffen, tr. (Berlin: Rogner & Bernhard, 2011), pp. 35-52.
- Rationale of the mathematical joke. In Proceedings of the International Symposium on Mathematical Practice and Cognition: A symposium at the AISB 2010 Convention, Alison Pease, Markus Guhe, and Alan Smaill, edd. (Leicester: Society for the Study of Artificial Intelligence and the Simulation of Behaviour, 2010), pp. 1-6.
- Presented at AISB 2010, De Montfort University, Leicester, March 2010 and Lighthearted Philosophers' Society, St. Petersburg, FL, October 2010.
- Argumentation schemes and communities of argumentational practice. In Argument cultures: Proceedings of OSSA 2009, Juho Ritola, ed. (Windsor, ON: OSSA, 2010).
- Observations on sick mathematics. In Philosophical perspectives on mathematical practice, Bart Van Kerkhove, Jonas De Vuyst, & Jean Paul Van Bendegem, edd. (London: College Publications, 2010), pp. 269-300.
- Virtue in argument. Argumentation, 24(2), 2010, pp. 165-179.
- The philosophy of alternative logics (with Stephen Read). In Development of modern logic, L. Haaparanta, ed. (Oxford: Oxford University Press, 2009), pp. 613-723.
- (As editor, with Ian J. Dove.) Mathematical argumentation. Special issue of Foundations of science, 14(1-2), 2009.
- Mathematics and argumentation. Foundations of science, 14(1-2), 2009, pp. 1-8.
- Logic for dogs. In What philosophy can tell you about your dog, Steven D. Hales, ed. (Chicago: Open Court, 2008), pp. 167-181.
- Presented at the 2nd Annual Lighthearted Philosophers' Society Meeting, St. Petersburg College, St. Petersburg, FL, October, 2008.
- The Companions and Socrates: Is Inara a hetaera? In Investigating Firefly and Serenity: Joss Whedon's further worlds, Tanya Cochran & Rhonda Wilcox, edd. (London: I. B. Tauris, 2008), pp. 63-75.
- Biology: Classification systems. In Scientific thought: In context, K. Lee Lerner & Brenda Wilmoth Lerner, edd. (Farmington Hills, MI: Gale, 2008), Vol. 1, pp. 167-176.
- Fallacies in mathematics. Proceedings of the British Society for Research into Learning Mathematics, 27(3), pp. 1-6.
- Virtue argumentation. In Proceedings of the Sixth Conference of the International Society for the Study of Argumentation, Frans H. van Eemeren, J. Anthony Blair, Charles A. Willard & Bart Garssen, edd. (Amsterdam: Sic Sat, 2007), pp. 15-19.
- The informal logic of mathematical proof. In Perspectives on mathematical practices: Bringing together philosophy of mathematics, sociology of mathematics, and mathematics education, J. P. Van Bendegem & B. Van Kerkhove, edd. (Dordrecht: Springer-Verlag, 2007), pp. 135-51.
- Raising the tone: Definition, bullshit, and the definition of bullshit. In Bullshit and Philosophy, George Reisch and Gary Hardcastle, edd. (Chicago: Open Court, 2006), pp. 151-69.
- Managing informal mathematical knowledge: Techniques from informal logic. Lecture notes in artificial intelligence 4108, 2006, pp. 208-221.
- Proofs and rebuttals: Applying Stephen Toulmin's layout of arguments to mathematical proof. In Logica yearbook 2005, Marta Bilkova & Ondrej Tomala edd. (Prague: Filosofia, 2006), pp. 11-23.
- Induction, Mathematical. In Continuum Encyclopedia of British philosophy, A. C. Grayling, A. Pyle & N. Goulder, edd. (Bristol: Thoemmes Continuum, 2006).
- Introduction to Euclid's The Elements: Books I-XIII. (New York: Barnes & Noble, 2006), pp. vii-xvii.
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