Some Selected Works

A Simpler and More Realistic Subjective Decision Theory (with Yang Liu)
Forthcoming in Synthese

The Sure Thing Principle, Dilations, and Objective Probabilities
Journal of Applied Logic, 11(4):373–385, 2013

On Ontology and Realism in Mathematics
The Review of Symbolic Logic, 5(3):480–512, 2012

Deceptive Updating and Minimal Information Methods (with Anubav Vasudevan)
Synthese, 187(1):147–178, 2012

Vagueness, Tolerance and Contextual Logic
Synthese, 174(1):5–46, 2010

Contextual Logic with Modalities for Time and Space
The Review of Symbolic Logic, 1(04):433–458, 2008

Naming and Diagonalization, from Cantor to Gödel to Kleene.
Logic Journal of the IGPL, 14(5):709–728, 2006

Some Thoughts and a Proposal in the Philosophy of Mathematics
In P.H. Hajek, L.V., V. and Westerstahl, D., editors, Proceedings of the Twelfth International Congress Logic, Methodology and Philosophy of Science, pages 351 – 372, 2005

Reasoning with Limited Resources and Assigning Probabilities to Arithmetical Statements
Synthese, 140(1-2):97–119, 2004

Non-Standard Models in a Broader Perspective
In Enayat, A. and Kossak, R., editors, Nonstandard Models of Arithmetic and Set Theory, Volume 361 of Contemporary Mathematics, pages 1–22, 2003

What Gödel’s Incompleteness Result Does and Does Not Show
The Journal of Philosophy, 97(8):462–470, 2000

Self-reference and the Acyclicity of Rational Choice
Annals of Pure and Applied Logic, 96(1-3):117 – 140, 1999

Is the “Bottom-up” Approach from the Theory of Meaning to Metaphysics Possible?
The Journal of Philosophy, 93(8):373–407, 1996

Pointer to Truth
The Journal of Philosophy, 89(5):223–261, 1992

Probabilities Over Rich Languages, Testing and Randomness (with Marc Snir)
The Journal of Symbolic Logic, 47(3):495–548, 1982