Lionel Shapiro

Reichenbach's Philosophy of Space and Time (1928) avoids most of the logical positivist pitfalls it is generally held to exemplify, notably both conventionalism and verificationism. To see why, we must appreciate that Reichenbach's interest lies in how mathematical structures can be used to describe reality, not in how words like 'distance' acquire meaning. Examination of his proposed "coordinative definition" of congruence shows that Reichenbach advocates a reductionist analysis of the relations figuring in physical geometry (contrary to common readings that attribute to him a holistic conventionalism), while embracing a thoroughly holistic understanding of empirical confirmation (contrary to rival operationalist readings).

According to Gupta and Belnap, the “extensional behavior” of ‘true’ matches that of a circularly defined predicate. Besides promising to explain semantic paradoxicality, their general theory of circular predicates significantly liberalizes the framework of truth-conditional semantics. The authors’ discussions of the rationale behind that liberalization invoke two distinct senses in which a circular predicate’s semantic behavior is explained by a “revision rule” carrying hypothetical information about its extension. Neither attempted explanation succeeds. Their theory may however be modified to employ a relativized notion of extension. The resulting contextualist semantics for ‘true’ construes circularity as a pragmatic phenomenon.

Each of the three essays constituting the dissertation's body explores a theoretical approach to conceptual content, as well as to particular kinds of concepts. A concluding chapter defends a distinction between two varieties of intentionality. ;Chapter 1 identifies a distinctive model of intentionality in Locke's discussion of our "ideas of the sorts of substances." Properly understood, his doctrine of the "inadequacy" of substance-ideas reveals that the sort represented by such an idea isn't settled by the idea's descriptive content. The key to his compromise between classificatory conventionalism and essentialism is an injunction to "rectify" each substance-idea, one that reflects a norm governing natural-historical inquiry. Interestingly, Locke regards the resulting picture of the natural kinds represented by substance-ideas as compatible with his descriptivist account of how the extensions of substance-names are fixed. ;Chapter 2 examines Gupta and Belnap's theory of "circular concepts," which likewise appeals to a semantic "revision rule." Besides promising to explain semantic paradox when applied to the concept of truth, their theory significantly liberalizes the framework of truth conditional semantics. I criticize the rationale behind that liberalization by investigating the significance attributed to the revision rule, and propose invoking pragmatic ideas to do justice to some of the theory's motivating intuitions. ;Chapter 3 first argues that Brandom's appeal to normatively characterized linguistic practice subserves two approaches to content: one expressivist and the other reductionist. The criterion of adequacy motivating his "inferentialist" reduction of contentfulness, I then argue, is one he should dismiss in view of his deflationism about truth. Moreover, Brandom fails to vindicate the priority of attributions of inferential norms over attributions of propositional content. This criticism doesn't affect the expressivist elucidation of intentional concepts resulting from Brandom's normative-pragmatic description of assertional practice. ;My conclusion draws on this elucidation to defend a distinction prefigured in my construal of Locke as divorcing the aboutness of substance-ideas from assessments of truth. I argue that we should distinguish between a "representational" kind of intentionality whose attribution subserves explanations of successful inductive and explanatory practices, and a "semantic" kind whose attribution makes explicit normative features of the essentially communicative practice of assertion.

The revisionary approach to semantic paradox is commonly thought to have a somewhat uncomfortable corollary, viz. that, on pain of triviality, we cannot affirm that all valid arguments preserve truth (Beall2007, Beall2009, Field2008, Field2009). We show that the standard arguments for this conclusion all break down once (i) the structural rule of contraction is restricted and (ii) how the premises can be aggregated---so that they can be said to jointly entail a given conclusion---is appropriately understood. In addition, we briefly rehearse some reasons for restricting structural contraction.