Christopher Gauker

For many purposes in pragmatics one needs to appeal to a context of utterance conceived as a set of sentences or propositions. The context of utterance in this sense is often defined as the set of assumptions that the speaker supposes he or she shares with the hearer. I argue by stages that this is a mistake. First, if contexts must be defined in terms of shared assumptions, then it would be preferable to define the context as the set of assumptionsthat the interlocutors really do share. Second, not all shared assumptions belong to the context, because not all are relevant. Third, hearers need not accept every member of the context, because some presuppositions are informative. Finally, presupposition coordination problems show that contexts may have contents that even the speaker does not accept. Contexts, we may conclude, are mind-transcendent. In one sense of the term a "presupposition" is an interlocutor's take on this mind-transcendent context.

Abstract In their book, Holism: A Shopper's Guide, Jerry Fodor and Ernest Lepore fail to distinguish between two kinds of holism. One of these is holism about meaning, which is indeed problematic. The other is holism about translation, which is not so clearly problematic. Moreover, the problem with the first sort is that it renders communication unintelligible, not that it rules out psychological laws. Further, Fodor and Lepore's criticisms of various contemporary holists are based on serious misreadings. In particular, Quine need not accept the conception of statements that they force on him, and Davidson and Dennett do not argue for the principle of charity in the ways Fodor and Lepore suppose. But Fodor and Lepore's question about the provenance of the principle of charity is a good one and deserves an answer

This paper spells out the positive theory sketched at the end of "Against Stepping Back".): According to deflationists, [p] is true is in some sense equivalent to p. The problem that the semantic paradoxes pose for the deflationist is to explicate this equivalence without relying on a semantics grounded in the sort of real reference relations that a deflationist thinks do not exist. More generally, the deflationist is challenged to give an account of logical validity that does not force us to countenance such relations. (The usual model-theoretic definition seems to presuppose that there is some special interpretation, the intended interpretation, such that truth simpliciter is truth on that intended interpretation. So if the deflationist adopts this sort of definition, the deflationist will be challenged to identify the intended interpretation without positing real reference relations.) Fortunately, a precise semantics compatible with the deflationist philosophy can be had as follows: First, we define a context as a certain sort of set constructed from a basis of literals (atomic sentences and negations of atomic sentences). This formal account of contexts has to be supplemented with an account of the conditions under which a structure satisfying the formal definition is the structure of that kind pertinent ot a given conversation. For each syntactic type of sentence, we define the conditions under which a sentence of that type is assertible relative to a context. In particular, we define the conditions under which sentences of the form " [p] is true" are assertible in a context, and we define the conditions under which sentences of the form "[p] is assertible in context G" are assertible in a context. Finally, logical validity is defined as preservation of assertibility in a context. It is demonstrated that this approach to semantics resists the semantic paradoxes.

This is a free book, 165 pages. It is for anyone who has had a solid introductory logic course and wants more. Topics covered include soundness and completeness for first-order logic, Tarski's theorem on the undefinability of truth, Gödel's incompleteness theorems, the undecidability of first-order logic, a smattering of second-order logic, and modal logic (both propositional and quantificational). I wrote it for use in my own course, because I thought I could present the most important results and concepts more clearly than the available textbooks.