Online research in philosophy

Truth-conditional semantics is the project of determining a way of assigning truth-conditions to sentences based on A) the extension of their constituents and B) their syntactic mode of composition. Truth-conditional semantics is the major research project of linguistic semantics and the project and its prospects are a central concern in contemporary philosophy of language.

This book provides a systematic study of three foundational issues in the semantics of natural language that have been relatively neglected in the past few decades. focuses on the formal characterization of intensions, the nature of an adequate type system for natural language semantics, and the formal power of the semantic representation language proposes a theory that offers a promising framework for developing a computational semantic system sufficiently expressive to capture the properties of natural language meaning while remaining computationally tractable written by two leading researchers and of interest to students and researchers in formal semantics, computational linguistics, logic, artificial intelligence, and the philosophy of language.

Two-dimensional (2D) semantics is a formal framework that is used to characterize the meaning of certain linguistic expressions and the entailment relations among sentences containing them. 2D semantics has also been applied to thought contents. In contrast with standard possible worlds semantics, 2D semantics assigns extensions and truth-values to expressions relative to two possible world parameters, rather than just one. So a 2D semantic framework provides finer-grained semantic values than those available within standard possible world semantics, while using the same basic model-theoretic resources. The 2D framework itself is just a formal tool. To develop a semantic theory for someone’s language, a proponent of 2D semantics must do three things: (i) explain what exactly the two possible world parameters represent, (ii) explain the rules for assigning 2D semantic values to a person’s words and sentences, and (iii) explain how 2D semantic values help in understanding the meanings of the person’s words and sentences.

Two opposing tendencies in the philosophy of language go by the names of ‘referentialism’ and ‘inferentialism’ respectively. In the crudest version of the contrast, the referentialist account of meaning gives centre stage to the referential semantics for a language, which is then used to explain the inference rules for the language, perhaps as those which preserve truth on that semantics (since a referential semantics for a language determines the truth-conditions of its sentences). By contrast, the inferentialist account of meaning gives centre stage to the inference rules for the language, which are then used to explain its referential semantics, perhaps as the semantics on which the rules preserve truth. On pain of circularity, we cannot combine both directions of explanation.

Some twenty years ago, semanticists of natural language came to be overwhelmed by the problem of semantic analysis of belief sentences (and sentences reporting other kinds of propositional attitudes): the trouble was that sentences of the shapes X believes that A and X believes that B appeared to be able to have different truth values even in cases when A and B shared the same intension, i.e. were, from the viewpoint of intensional semantics, synonymous 1 . Thus, taking intensional semantics for granted, belief sentences appeared to violate the principle of intersubstitutivity of synonyms. The verdict of the gurus of intensional semantics was that hence intensional semantics is inadequate, or at least insufficient for the purposes of analysis of propositional attitudes; and that we need a kind of a ‘hyperintensional semantics’.

Semantics deals with the literal meaning of sentences. Pragmatics deals with what speakers mean by their utterances of sentences over and above what those sentences literally mean. However, it is not always clear where to draw the line. Natural languages contain many expressions that may be thought of both as contributing to literal meaning and as devices by which speakers signal what they mean. After characterizing the aims of semantics and pragmatics, this chapter will set out the issues concerning such devices and will propose a way of dividing the labor between semantics and pragmatics. To semantics belongs the job of defining the conditions under which a sentence is true relative to a context. To pragmatics belongs the job of explicating the conditions under which a given context pertains to a given conversation.

The Gricean distinction between saying and implicating suggests a clear division of labour between semantics and pragmatics. The standard view that a semantic theory delivers truth-conditions for every well-formed sentence of a language has been grafted onto a Gricean view of the semantics-pragmatics divide. Consequently, many believe that truth-conditions can be specified in a way that is essentially free from pragmatic considerations. This view has been challenged, by those who argue for pragmatic intrusion into truth-conditional content. Others have argued in favour of preserving a pragmatically untainted conception of semantics, but for a more finegrained conception of pragmatics. This debate has led to different proposals as to how to draw the boundary between semantics and pragmatics. This philosophical debate has been conducted largely independently of the debate in linguistics about the interfaces between the various sub-systems of the language faculty in the mind/brain.

Davidson approaches the notions of meaning and interpretation with the aim of characterizing semantic competence in the syntactically characterized natural language. The objective is to provide a truth-theory for a language, generating T-sentences expressed in the semantic metalanguage, so that each sentence of the object language receives an appropriate interpretation. Proceeding within the constraints of referential semantics, I will argue for the viability of reconstructing the notion of linguistic meaning within the Tarskian theory of reference. However, the view proposed here involves a revision of Davidson’s con-ception of the object of semantic investigation. Taking (idealized) language-theories as the proper object of semantic characterization, provides solutions to outstanding problems in Davidson’s views, better approximates the practice in standard model-theoretic semantics, and incorporates the elements of semantic competence sought for in tradi¬tional theories of lexical analysis. Sources of evidence beyond those emphasized by Davidson will be invoked in order to allow for the selection of interpre¬tive T-sentences. In the final section, possible Quinean objections will be considered.

I define 'skim semantics' to be a Davidson-style truth-conditional semantics combined with a variety of deflationism about truth. The expressive role of truth in truth-conditional semantics precludes at least some kinds of skim semantics; thus I reject the idea that the challenge to skim semantics derives solely from Davidson's explanatory ambitions, and in particular from the 'truth doctrine', the view that the concept of truth plays a central explanatory role in Davidsonian theories of meaning for a language. The fate of skim semantics is not determined by the fate of the truth doctrine, so rejecting the truth doctrine does not in itself open the way to skim semantics. I establish my thesis by showing that some recently proposed versions of skim semantics fail because of truth's expressive role. I also discuss the conditions that might permit skim semantics.

Formal semantics is an approach to SEMANTICS1, the study of meaning, with roots in logic, the philosophy of language, and linguistics, and since the 1980’s a core area of linguistic theory. Characteristics of formal semantics to be treated in this article include the following: Formal semanticists treat meaning as mind-independent (though abstract), contrasting with the view of meanings as concepts “in the head” (see I-LANGUAGE AND E-LANGUAGE and MEANING EXTERNALISM AND INTERNALISM); formal semanticists distinguish semantics from knowledge of semantics (Lewis 1975, Cresswell 1978), which has consequences for the notion of semantic COMPETENCE. A central part of the meaning of a sentence on this approach is its TRUTH CONDITIONS, and most although not all formal semantics is model-theoretic, relating linguistic expressions to model-theoretically constructed semantic values cast in terms of truth, REFERENCE, and possible worlds. This sets formal semantics apart from approaches which view semantics as relating a sentence just to a representation on another linguistic “level” (LOGICAL FORM) or a representation in an innate LANGUAGE OF THOUGHT. The formal semanticist could accept such representations as an aspect of semantics but would insist on asking what the model-theoretic semantic interpretation of the given representationlanguage is (Lewis 1970). Formal semantics is centrally concerned with COMPOSITIONALITY at the SYNTAX-SEMANTICS INTERFACE, how the meanings of larger constituents are built up from the meanings of their parts on the basis of their syntactic structure, and with the relation between compositional SENTENCE MEANING and meaning in discourse.