I develop a formal logic in which quantified arguments occur in argument positions of predicates. This logic also incorporates negative predication, anaphora and converse relation terms, namely, additional syntactic features of natural language. In these and additional respects, it represents the logic of natural language more adequately than does any version of Frege’s Predicate Calculus. I first introduce the system’s main ideas and familiarize it by means of translations of natural language sentences. I then develop a formal system built on (...) these principles, the Quantified Argument Calculus or Quarc. I provide a truth-value assignment semantics and a proof system for the Quarc. I next demonstrate the system’s power by a variety of proofs; I prove its soundness; and I comment on its completeness. I then extend the system to modal logic, again providing a proof system and a truth-value assignment semantics. I proceed to show how the Quarc versions of the Barcan formulas, of their converses and of necessary existence come out straightforwardly invalid, which I argue is an advantage of the modal Quarc over modal Predicate Logic as a system intended to capture the logic of natural language. (shrink)

This article analyzes whether Brandom’s ISA (inferential-substitutional-anaphoric) semantics as presented in Making It Explicit (MIE) and Articulating Reasons (AR) can cope with problems resulting from inferentialism’s near-implied meaning holism. Inferentialism and meaning holism entail a radically perspectival conception of content as significance for an individual speaker. Since thereby its basis is fixed as idiolects, holistic inferentialism engenders a communication-problem. Brandom considers the systematic difference in information among individuals as the „point“ of communication and thus doesn’t want to diminish these effects (...) of inferentialism. Instead, explains communication with a model of “navigating among perspectives without sharing contents”. The crucial element in this navigation-model is the functioning of anaphoric connections between tokens uttered in discourse that can be used by every individual speaker in their own perspectival semantic substitution-economies. The heart of Brandom’s semantics is the thesis of the purely inferential, hence non-referential nature of anaphora, coupled with the claim that anaphoric-inferential semantic mechanisms yield sufficient conditions for mutually successful “information-extraction” or interpretation. This article disputes the thesis and denies the claim. Regarding the former it is observed that all of Brandom’s plausible reconstructions of anaphoric discourse-structures rely on covert “reference-infiltrations” that can’t be eliminated. Regarding the latter, a new argument based on context-sensitive semantic phenomena in anaphoric settings shows that the crucial distinction between initiator or anaphoric antecedent and anaphoric dependent cannot be drawn according to Brandom’s own premises without overt and irreducible referential premises. The article concludes that either Brandom’s semantics can offer determinate contents, but then must accept genuinely referential semantic primitives, or else it leaves utterance-contents undeterminable and hence cannot explain communication. (shrink)

All sorts of things are context-dependent in one way or another. What it is appropriate to wear, to give, or to reveal depends on the context. Whether or not it is all right to lie, harm, or even kill depends on the context. If you google the phrase ‘depends on the context’, you’ll get several hundred million results. This chapter aims to narrow that down. In this context the topic is context dependence in language and its use. It is commonly (...) observed that the same sentence can be used to convey different things in different contexts. That is why people complain when something they say is ‘taken out of context’ and insist that it be ‘put into context’, because ‘context makes it clear’ what they meant. Indeed, it is practically a platitude that what a speaker means in uttering a certain sentence, as well as how her audience understands her, ‘depends on the context’. But just what does that amount to, and to what extent is it true? (shrink)