Kenny Easwaran works in the areas of epistemology and the philosophy of mathematics. His work in epistemology focuses on the mathematical notions of probability theory, and how they can help clarify the pre-theoretic notions of belief, justification, knowledge, and the like. In particular, his research has focused on cases involving probability zero, and what they can show about the notions of conditional and unconditional probability in other cases. In the philosophy of mathematics he is particularly interested in set theory and its foundations. In particular, he has worked on the question of what role axioms play in mathematical reasoning, and how they can serve a useful epistemological role despite the ongoing debates about the ontological questions of mathematics (whether abstract objects exist, and whether they are the right sort of thing for us to be able to come to have knowledge about). Additionally, he is interested in the role that the social practices of mathematics play in the development of mathematical knowledge, and the constraints they put on the notions of proof that are acceptable to mathematicians.

Published Work

• (with Branden Fitelson) "An 'Evidentialist' Worry About Joyce's Argument for Probabilism". forthcoming in Dialectica.
  
• "Varieties of Conditional Probability".  Chapter IIB of Handbook for Philosophy of Statistics, eds. Prasanta Bandyopadhyay and Malcolm Forster. Elsevier, (2011) 137-148. (publisher)
  
• “Probabilistic Proofs and Transferability”. Philosophia Mathematica, 17:3, (2009), 341-362. (journal)
  
• “Strong and Weak Expectations”. Mind, 117, (2008), 633-641. (journal)
  
• (with Mark Colyvan) “Mathematical and Physical Continuity”. The Australasian Journal of Logic, 6, (2008), 87-93. (journal)
  
• “The Role of Axioms in Mathematics”. Erkenntnis, 68:3, (2008), 381-391. (journal)
  

• "Dutch Book Arguments". Forthcoming in The Encyclopedia of the Mind, eds. Hal Pashler et al.
  
• "Bayesianism II: Criticisms and Applications".  Philosophy Compass, 6:5, (2011), 321-332. (journal)
  
• "Bayesianism I: Introduction and Arguments in Favor". Philosophy Compass, 6:5, (2011), 312-320. (journal)
  
• "Logic and Probability". Journal of the Indian Council for Philosophical Research, XXVII:2, (2010), 229-253.
  

• Review of The Evolution of Logic, by W.D. Hart. The Bulletin of Symbolic Logic, 17:4, (2011), 533-535.
  
• Review of By Parallel Reasoning, by Paul Bartha. Notre Dame Philosophical Reviews, (2011), http://ndpr.nd.edu/review.cfm?id=23890
  
• Review of Representation, Evidence, and Justification: Themes from Suppes, Michael Frauchiger and Wilhelm K. Essler, eds. Notre Dame Philosophical Reviews, (2009), http://ndpr.nd.edu/review.cfm?id=14965
• Review of Tracking Reason: Proof, Consequence, and Truth, by Jody Azzouni. The Philosophical Review, 117:2, (2008), 296-299. (journal)
  
• Review of Ambiguity and Logic, by Frederic Schick. Mind, 116 (2007), 478-482. (journal)