Introduction -- 1. The settling of a language -- 2. The Whorf hypothesis -- 3. Relativism or a universal theory? -- 4. What does language have to do with logic and mathematics? -- 5. A test bed for grammatical theories -- 6. The Chomsky hierarchy in perpsective -- 7. Reflexivity and identity in language and cognition -- 8. The generalized logic hierarchy and its cognitive implications -- 9. The intensionalization of extensions.

Since Aristotle and the Stoa, there has been a clash, worsened by modern predicate logic, between logically defined operator meanings and natural intuitions. Pragmatics has tried to neutralize the clash by an appeal to the Gricean conversational maxims. The present study argues that the pragmatic attempt has been unsuccessful. The “softness” of the Gricean explanation fails to do justice to the robustness of the intuitions concerned, leaving the relation between the principles evoked and the observed facts opaque. Moreover, there are (...) cases where the Gricean maxims fail to apply. A more adequate solution consists in the devising of a sound natural logic, part of the innate cognitive equipment of mankind. This account has proved successful in conjunction with a postulated cognitive mechanism in virtue of which the universe of discourse is stepwise and recursively restricted, so that the negation selects different complements according to the degree of restrictedness of Un. This mechanism explains not only the discrepancies between natural logical intuitions and known logical systems; it also accounts for certain systematic lexicalization gaps in the languages of the world. Finally, it is shown how stepwise restriction of Un produces the ontogenesis of natural predicate logic, while at the same time resolving the intuitive clashes with established logical systems that the Gricean maxims sought to explain. (shrink)

Dr Seuren's study deals with the problem of presenting an adequate model of grammatical description. The model he proposes conforms in its main outlines to the transformational generative grammar established by Chomsky, but differs in important respects. These mainly affect that part of Chomsky's syntactic component known as the 'base', which generates basic or 'deep' structures. In the model of the base proposed here two main constituents are distinguished for every deep structure representation of a sentence, vis-a-vis the operators and (...) the nucleus. The deep structure of a sentence is thus seen to be very similar to the logical structure of a proposition. The arguments given in support of this analysis are based on mainly on considerations of simplicity and semantic adequacy. (shrink)

SUMMARYThe present study paints the intellectual environment in which Ferdinand de Saussure developed his ideas about language and linguistics during the fin de siècle. It sketches his dissatisfaction with that environment to the extent that it touched on linguistics, and shows the new course he was trying to steer on the basis of ideas that seemed to open new and exciting perspectives, even though they were still vaguely defined. As Saussure himself was extremely reticent about his sources and intellectual pedigree, (...) his stance in the lively European cultural context in which he lived can only be established through textual critique and conjecture. On this basis, it is concluded that Saussure, though relatively uninformed about its historical roots, essentially aimed at integrating the rationalist tradition current in the sciences in his day into a new, ‘scientific’ general theory of language. In this, he was heavily indebted to a few predecessors, such as the French philosopher-psychologist Victor Egger, and particularly to the French psychologist, historian and philosopher Hippolyte Taine, who was a major cultural influence in nineteenth-century France, though now largely forgotten. The present study thus supports Hans Aarsleff's analysis, where, for the first time, Taine's influence is emphasised, and rejects John Joseph's contention that Taine had no influence and that, instead, Saussure was influenced mainly by the romanticist Adolphe Pictet. Saussure abhorred Pictet's method of etymologising, which predated the Young Grammarian school, central to Saussure's linguistic education. The issue has implications for the positioning of Saussure in the history of linguistics. Is he part of the non-analytical, romanticist and experience-based European strand of thought that is found in art and postmodernist philosophy and is sometimes called structuralism, or is he a representative of the short-lived European branch of specifically linguistic structuralism, which was rationalist in outlook, more science-oriented and more formalist, but lost out to American structuralism? The latter seems to be the case, though phenomenology, postmodernism and art have lately claimed Saussure as an icon. (shrink)

This book presents and exemplifies the theory of grammar called Semantic Syntax. The grammar, which offers a syntactic theory closely connected with semantic analyses, is a direct continuation of Generative Semantics; it will re-ignite interest in that framework which flourished and promised so much in the 1960s and 1970s.

Contrary to received opinion, the Aristotelian Square of Opposition (square) is logically sound, differing from standard modern predicate logic (SMPL) only in that it restricts the universe U of cognitively constructible situations by banning null predicates, making it less unnatural than SMPL. U-restriction strengthens the logic without making it unsound. It also invites a cognitive approach to logic. Humans are endowed with a cognitive predicate logic (CPL), which checks the process of cognitive modelling (world construal) for consistency. The square is (...) considered a first approximation to CPL, with a cognitive set-theoretic semantics. Not being cognitively real, the null set Ø is eliminated from the semantics of CPL. Still rudimentary in Aristotle’s On Interpretation (Int), the square was implicitly completed in his Prior Analytics (PrAn), thereby introducing U-restriction. Abelard’s reconstruction of the logic of Int is logically and historically correct; the loca (Leaking O-Corner Analysis) interpretation of the square, defended by some modern logicians, is logically faulty and historically untenable. Generally, U-restriction, not redefining the universal quantifier, as in Abelard and loca, is the correct path to a reconstruction of CPL. Valuation Space modelling is used to compute the effects of U-restriction. (shrink)

The Aristotelian, non-relativistic notion of truth as correspondence with and dependency on actual states of affairs is in principle maintained, but refined and even modified in several different directions. The principal reason for maintaining it is empirical: it seems to reflect the way in which humans deal with the notion "truth" naively or pretheoretically, in ordinary life situations. It is shown that the Kantian crisis in epistemology does not affect this notion, since what is at issue is truth-conditions, not actual (...) truth-values. This great crisis in epistemology does, however, reinforce the requirement that logic, as a vehicle of preservation of assumed truth, be entirely and fundamentally independent of contingent states of affairs. This requirement made it imperative that traditional logic be replaced with a logic of absolute applicability, no matter whether there is or is not an outside world, or, if there is one, how it is or happens to be. The Aristotelian Principle of the Excluded Third is given up, not in favour of truth-value gaps for sentences with reference failure, but rather in favour of three truth-values: truth, minimal falsity , and radical falsity . Truth-value gaps do not occur with sentences that are well-integrated in discourse and context This analysis is linked up with a well-defined trivalent logic. It moreover requires the assumption of entities that are defined by thought processes but do not exist in reality. It is further shown that truth-conditions are not always expressible in autonomously verifiable or falsifiable terms. Many lexical meanings depend, for a complete statement of the associated truth-conditions, on variable cognitive input whose content depends on what is known in general terms, or prototypically, about the things referred to in the discourse at hand. Examples are the whole possessive complex , gradable adjectives, or epistemic modals. This fact does not invalidate the notion of truth as correspondence, but it does shed a new light on how sentences acquire their truth-values. Finally, truth is seen als correspondence not so much with whatever one may assume the world to be in its barest or brütest form, down to its very basics, as with the phenomenal world, that is, the world as it presents itself to human perception and interpretation, with all the projections and reifications that go with it. (shrink)

This review considers Semantic Syntax and Slavic Transformational Syntax particularly in the light of their contributions to the theory of grammar. Semantic Syntax is shown to have a polemical bias against the Aspects model and toward generative semantics. Its editor's position in the constellation of semantic logicians is defined; pro-Chomskian objections to the logical-cognitive semantic theory are advanced. Slavic Transformational Syntax is comprised of essays with a wide range of theoretical stances; the insights of the radical case grammar of James (...) Miller are compared with those of Semantic Syntax. Remarks on deixis by Richard Brecht are discussed in relationship to semantic-logic approaches. Certain similarities of Jakobsonian functionalism and generative semantics are discussed. (shrink)

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 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 -space for a sentence A as the basis of logical model theory, and the notion of P 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. (shrink)

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 at providing 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 has fewer 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 ${\rm PPC}_{3}$ , with two kinds of falsity and two negations. It introduces the notion of Σ-space for a sentence A (or / A /, the set of situations in which A is true) as the basis of logical model theory, and the notion of / ${\bf P}^{A}$ / (the Σ-space of the presuppositions of A), functioning as a 'private' subuniverse for / A /. The trivalent Kleene calculus is reinterpreted as a logical account of vagueness, rather than of presupposition. ${\rm PPC}_{3}$ and the Kleene calculus are refinements of standard bivalent logic and can be combined into one logical system. In Section 3 the adequacy of ${\rm PPC}_{3}$ 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: $1_{a}$ for the conjoined presuppositions of a, ã for the complement of a within $1_{a}$ , and â for the complement of $1_{a}$ 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. (shrink)

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. (shrink)