Publications

Abstract

The message of the present article is, first, that, besides and below the strictly linguistic aspects of communication through language, of which speakers are in principle fully aware, a great deal of knowledge not carried in virtue of the system of the language in question but rather transmitted by the form of the intended message, is imparted to listeners or readers, without either being in the least aware of this happening. For example, listeners quickly register the social status, regional origin or emotional attitude of speakers and they react to those kinds of ‘paralinguistic’ information, mostly totally unawares. When speaker and listener have a positive attitude with regard to each other, the reaction consists, among other things, in mutual alignment or accommodation of pronunciation features, lexical selections and style of speaking. When the mutual attitude is negative, the opposite happens: speakers accentuate their differences. Then, when this happens not between individual interlocutors but between groups of speakers, such accommodation or divergence phenomena may lead to language change. The main theoretical question raised, but not answered, in this article is how and at what point forms of behaviour, including linguistic behaviour, achieve the status of being ‘standard’ or ‘accepted’ in any given community and what it means to say that they are ‘standard’ or ‘accepted’. It is argued that frequency of occurrence is not the main explanatory factor, and that a causal explanation is to be sought rather in the, often unconscious, attitudes of individuals, in particular their desire or need to be integrated members of a community or social group, thus ensuring their safety and asserting their group identity. The question thus belongs to the province of social psychology. Qualms about analyses of this kind being ‘unscientific’ dissipate when it is realized that consciousness phenomena are part of the real world and must therefore be considered to be valid objects of scientific theory formation. Like so many other ill-understood elements in scientific theories, consciousness, though itself unexplained, can be given a place in causal chains of events.

Abstract

It is the purpose of the present paper to highlight the figure of Eubulides, a relatively unknown Greek philosopher who lived ±405–330 BC and taught at Megara, not far from Athens. He is mainly known for his four paradoxes (the Liar, the Sorites, the Electra, and the Horns), and for the mutual animosity between him and his younger contemporary Aristotle. The Megarian school of philosophy was one of the main sources of the great Stoic tradition in ancient philosophy. What has never been made explicit in the literature is the importance of the four paradoxes for the study of meaning in natural language: they summarize the whole research programme of 20th century formal or formally oriented semantics, including the problems of vague predicates (Sorites), intensional contexts (Electra), and presuppositions (Horns). One might say that modern formal or formally oriented semantics is essentially an attempt at finding linguistically tenable answers to problems arising in the context of Aristotelian thought. It is a surprising and highly significant fact that a contemporary of Aristotle already spotted the main weaknesses of the Aristotelian paradigm.

Abstract

Translation of the first four chapters of Western linguistics: An historical introduction (1998)

Abstract

The prime purpose of this paper is, first, to restore to discourse-bound occasion sentences their rightful central place in semantics and secondly, taking these as the basic propositional elements in the logical analysis of language, to contribute to the development of an adequate logic of occasion sentences and a mathematical (Boolean) foundation for such a logic, thus preparing the ground for more adequate semantic, logical and mathematical foundations of the study of natural language. Some of the insights elaborated in this paper have appeared in the literature over the past thirty years, and a number of new developments have resulted from them. The present paper aims atproviding an integrated conceptual basis for this new development in semantics. In Section 1 it is argued that the reduction by translation of occasion sentences to eternal sentences, as proposed by Russell and Quine, is semantically and thus logically inadequate. Natural language is a system of occasion sentences, eternal sentences being merely boundary cases. The logic hasfewer tasks than is standardly assumed, as it excludes semantic calculi, which depend crucially on information supplied by cognition and context and thus belong to cognitive psychology rather than to logic. For sentences to express a proposition and thus be interpretable and informative, they must first be properly anchored in context. A proposition has a truth value when it is, moreover, properly keyed in the world, i.e. is about a situation in the world. Section 2 deals with the logical properties of natural language. It argues that presuppositional phenomena require trivalence and presents the trivalent logic PPC3, with two kinds of falsity and two negations. It introduces the notion of Σ-space for a sentence A (or A/A, the set of situations in which A is true) as the basis of logical model theory, and the notion of PA/ (the Σ-space of the presuppositions of A), functioning as a `private' subuniverse for A/A. The trivalent Kleene calculus is reinterpreted as a logical account of vagueness, rather than of presupposition. PPC3 and the Kleene calculus are refinements of standard bivalent logic and can be combined into one logical system. In Section 3 the adequacy of PPC3 as a truth-functional model of presupposition is considered more closely and given a Boolean foundation. In a noncompositional extended Boolean algebra, three operators are defined: 1a for the conjoined presuppositions of a, ã for the complement of a within 1a, and â for the complement of 1a within Boolean 1. The logical properties of this extended Boolean algebra are axiomatically defined and proved for all possible models. Proofs are provided of the consistency and the completeness of the system. Section 4 is a provisional exploration of the possibility of using the results obtained for a new discourse-dependent account of the logic of modalities in natural language. The overall result is a modified and refined logical and model-theoretic machinery, which takes into account both the discourse-dependency of natural language sentences and the necessity of selecting a key in the world before a truth value can be assigned