
11Ontology via semantics? Introduction to the special issue on the semantics of cardinalsLinguistics and Philosophy 40 (4): 321329. 2017.As introduction to the special issue on the semantics of cardinals, we offer some background on the relevant literature, and an overview of the contributions to this volume. Most of these papers were presented in earlier form at an interdisciplinary workshop on the topic at The Ohio State University, and the contributions to this issue reflect that interdisciplinary character: the authors represent both fields in the title of this journal.

10Ineffability within the limits of abstraction aloneIn Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics, Oxford University Press. 2016.The purpose of this article is to assess the prospects for a Scottish neologicist foundation for a set theory. We show how to reformulate a key aspect of our set theory as a neologicist abstraction principle. That puts the enterprise on the neologicist map, and allows us to assess its prospects, both as a mathematical theory in its own right and in terms of the foundational role that has been advertised for set theory. On the positive side, we show that our abstraction based theory can be mod…Read more

9Foundations Without Foundationalism: A Case for SecondOrder LogicPhilosophical Quarterly 44 (174): 127129. 1994.

8Wilfried Sieg. Step by recursive step: Church's analysis of effective calculability. The bulletin of symbolic logic, vol. 3 , pp. 154–180 (review)Journal of Symbolic Logic 64 (1): 398399. 1999.

8Coping with fear through suppression and avoidance of threatening informationJournal of Experimental Psychology: Applied 15 (3): 258274. 2009.

82010 winter meeting of the association for symbolic logicBulletin of Symbolic Logic 16 (3): 438444. 2010.

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7Mathematics in philosophy, Selected essays, by Charles Parsons, Cornell University Press, Ithaca, N.Y., 1983, 365 pp (review)Journal of Symbolic Logic 53 (1): 320329. 1988.

7Do Not Claim Too Much: Secondorder Logic and Firstorder LogicPhilosophia Mathematica 6 (3): 4264. 1998.The purpose of this article is to delimit what can and cannot be claimed on behalf of secondorder logic. The starting point is some of the discussions surrounding my Foundations without Foundationalism: A Case for Secondorder Logic.

7The Limits of HigherOrder Logic and the LöwenheimSkolem TheoremErkenntnis 49 (3): 393396. 1998.

6Foundations without Foundationalism: A Case for SecondOrder LogicPhilosophical Review 103 (1): 150. 1994.

6Intentional forgetting as a facilitator for recalling new product attributesJournal of Experimental Psychology: Applied 12 (4): 251263. 2006.

4Webb Judson Chambers. Mechanism, mentalism, and metamathematics. An essay on finitism. Synthese library, vol. 137. D. Reidel Publishing Company, Dordrecht, Boston, and London, 1980, xiii + 277 pp (review)Journal of Symbolic Logic 51 (2): 472476. 1986.

2Simple truth, contradiction, and consistencyIn Graham Priest, J. C. Beall & Bradley ArmourGarb (eds.), The Law of NonContradiction, Oxford University Press. 2004.

2II—Patrick GreenoughSupplement to the Proceedings of the Aristotelian Society 79 (1): 167190. 2005.

2ReviewsPhilosophy of Mathematics: Structure and OntologyBritish Journal for the Philosophy of Science 49 (4): 652. 1998.

2Classical logic II: Higherorder logicIn Lou Goble (ed.), The Blackwell Guide to Philosophical Logic, Blackwell. pp. 3354. 2001.

1Objectivity, explanation, and cognitive shortfallIn Crispin Wright & Annalisa Coliva (eds.), Mind, Meaning, and Knowledge: Themes From the Philosophy of Crispin Wright, Oxford University Press. 2012.

1Review: Constructibility and mathematical existence by Charles Chihara (review)Mind 101 361364. 1992.
Columbus, Ohio, United States of America
Areas of Specialization
Philosophy of Language 
Logic and Philosophy of Logic 
Philosophy of Mathematics 
Areas of Interest
Philosophy of Language 
Logic and Philosophy of Logic 
Philosophy of Mathematics 