Cambridge, Massachusetts, United States of America
Areas of Interest
 Metaphysics Philosophy of Language Logic and Philosophy of Logic Philosophy of Mathematics Philosophy of Probability
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##### Logical operations Journal of Philosophical Logic 25 (6). 1996.
Tarski and Mautner proposed to characterize the "logical" operations on a given domain as those invariant under arbitrary permutations. These operations are the ones that can be obtained as combinations of the operations on the following list: identity; substitution of variables; negation; finite or infinite disjunction; and existential quantification with respect to a finite or infinite block of variables. Inasmuch as every operation on this list is intuitively "logical", this lends support to …Read more
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##### How We Learn Mathematical Language Philosophical Review 106 (1): 35-68. 1997.
Mathematical realism is the doctrine that mathematical objects really exist, that mathematical statements are either determinately true or determinately false, and that the accepted mathematical axioms are predominantly true. A realist understanding of set theory has it that when the sentences of the language of set theory are understood in their standard meaning, each sentence has a determinate truth value, so that there is a fact of the matter whether the cardinality of the continuum is א2 or …Read more
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##### Truth, Vagueness, and Paradox: An Essay on the Logic of Truth Hackett. 1991.
Awarded the 1988 Johnsonian Prize in Philosophy. Published with the aid of a grant from the National Endowment for the Humanities.
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##### Thought, thoughts, and deflationism Philosophical Studies 173 (12): 3153-3168. 2016.
Deflationists about truth embrace the positive thesis that the notion of truth is useful as a logical device, for such purposes as blanket endorsement, and the negative thesis that the notion doesn’t have any legitimate applications beyond its logical uses, so it cannot play a significant theoretical role in scientific inquiry or causal explanation. Focusing on Christopher Hill as exemplary deflationist, the present paper takes issue with the negative thesis, arguing that, without making use of …Read more
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##### Inscrutability and its discontents Noûs 39 (3). 2005.
That reference is inscrutable is demonstrated, it is argued, not only by W. V. Quine's arguments but by Peter Unger's "Problem of the Many." Applied to our own language, this is a paradoxical result, since nothing could be more obvious to speakers of English than that, when they use the word "rabbit," they are talking about rabbits. The solution to this paradox is to take a disquotational view of reference for one's own language, so that "When I use 'rabbit,' I refer to rabbits" is made true by …Read more
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