Publications

Abstract

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.

Abstract

Semantic Syntax (SeSyn), originally called Generative Semantics, is an offshoot of Chomskyan generative grammar (ChoGG), rejected by Chomsky and his school in the late 1960s. SeSyn is the theory of algorithmical grammars producing the well-formed sentences of a language L from the corresponding semantic input, the Semantic Analysis (SA), represented as a traditional tree structure diagram in a specific formal language of incremental predicate logic with quantifying and qualifying operators (including the truth functions), and with all lexical items filled in. A SeSyn-type grammar is thus by definition transformational, but not generative. The SA originates in cognition in a manner that is still largely mysterious, but its actual form can be distilled from the Surface Structure (SS) of the sentences of L following the principles set out in SeSyn. In this presentation we provide a more or less technical résumé of the SeSyn theory. A comparison is made with ChoGG-type grammars, which are rejected on account of their intrinsic unsuitability as a cognitive-realist grammar model. The ChoGG model follows the pattern of a 1930s neopositivist Carnap-type grammar for formal logical languages. Such grammars are random sentence generators, whereas, obviously, (nonpathological) humans are not. A ChoGG-type grammar is fundamentally irreconcilable with a mentalist-realist theory of grammar. The body of the paper consists in a demonstration of the production of an English and a French sentence, the latter containing a classic instance of the cyclic rule of Predicate Raising (PR), essential in the general theory of clausal complementation yet steadfastly repudiated in ChoGG for reasons that have never been clarified. The processes and categories defined in SeSyn are effortlessly recognised in languages all over the world, whether indigenous or languages of a dominant culture—taking into account language-specific values for the general theoretical parameters involved. This property makes SeSyn particularly relevant for linguistic typology, which now ranks as the most promising branch of linguistics but has so far conspicuously lacked an adequate theoretical basis.

Abstract

The present study describes how three now almost forgotten mid-20th-century logicians, the American Paul Jacoby and the Frenchmen Augustin Sesmat and Robert Blanché, all three ardent Catholics, tried to restore traditional predicate logic to a position of respectability by expanding the classic Square of Opposition to a hexagon of logical relations, showing the logical and cognitive advantages of such an expansion. The nature of these advantages is discussed in the context of modern research regarding the relations between logic, language, and cognition. It is desirable to call attention to these attempts, as they are, though almost totally forgotten, highly relevant against the backdrop of the clash between modern and traditional logic. It is argued that this clash was and is unnecessary, as both forms of predicate logic are legitimate, each in its own right. The attempts by Jacoby, Sesmat, and Blanché are, moreover, of interest to the history of logic in a cultural context in that, in their own idiosyncratic ways, they fit into the general pattern of the Catholic cultural revival that took place roughly between the years 1840 and 1960. The Catholic Church had put up stiff resistance to modern mathematical logic, considering it dehumanizing and a threat to Catholic doctrine. Both the wider cultural context and the specific implications for logic are described and analyzed, in conjunction with the more general philosophical and doctrinal issues involved.

Abstract

The 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

Abstract

This paper follows the changing fortunes of Chomsky’s search for a pedigree in the history of Western thought during the late 1960s. Having achieved a unique position of supremacy in the theory of syntax and having exploited that position far beyond the narrow circles of professional syntacticians, he felt the need to shore up his theory with the authority of history. It is shown that this attempt, resulting mainly in his Cartesian Linguistics of 1966, was widely, and rightly, judged to be a radical failure, even though it led to a sudden revival of interest in the history of linguistics. Ironically, the very upswing in historical studies caused by Cartesian Linguistics ended up showing that the real pedigree belongs to Generative Semantics, developed by the same ‘angry young men’ Chomsky was so bent on destroying.

Abstract

After an exposé of the programme involved, it is shown that the Gricean maxims fail to do their job in so far as they are meant to account for the well-known problem of natural intuitions of logical entailment that deviate from standard modern logic. It is argued that there is no reason why natural logical and ontological intuitions should conform to standard logic, because standard logic is based on mathematics while natural logical and ontological intuitions derive from a cognitive system in people's minds (supported by their brain structures). A proposal is then put forward to try a totally different strategy, via (a) a grammatical reduction of surface sentences to their logico-semantic form and (b) via logic itself, in particular the notion of natural logic, based on a natural ontology and a natural set theory. Since any logical system is fully defined by (a) its ontology and its overarching notions and axioms regarding truth, (b) the meanings of its operators, and (c) the ranges of its variables, logical systems can be devised that deviate from modern logic in any or all of the above respects, as long as they remain consistent. This allows one, as an empirical enterprise, to devise a natural logic, which is as sound as standard logic but corresponds better with natural intuitions. It is hypothesised that at least two varieties of natural logic must be assumed in order to account for natural logical and ontological intuitions, since culture and scholastic education have elevated modern societies to a higher level of functionality and refinement. These two systems correspond, with corrections and additions, to Hamilton's 19th-century logic and to the classic Square of Opposition, respectively. Finally, an evaluation is presented, comparing the empirical success rates of the systems envisaged.

Abstract

The main thesis of the article is that language change is only partially subject to criteria of functionality and that, as a rule, opposing forces are also at work which often correlate directly with psychological and sociopsychological parameters reflecting themselves in all areas of linguistic competence. We sketch a complex interplay of horizontal versus vertical, deliberate versus nondeliberate, functional versus antifunctional linguistic changes, which, through a variety of processes have an effect upon the languages concerned, whether in the lexicon, the grammar, the phonology or the phonetics. Despite the overall unclarity regarding the notion of functionality in language, there are clear cases of both functionality and antifunctionality. Antifunctionality is deliberately striven for by groups of speakers who wish to distinguish themselves from other groups, for whatever reason. Antifunctionality, however, also occurs as a, probably unwanted, result of syntactic change in the acquisition process by young or adult language learners. The example is discussed of V-clustering through Predicate Raising in German and Dutch, a process that started during the early Middle Ages and was highly functional as long as it occurred on a limited scale but became antifunctional as it pervaded the entire complementation system of these languages.

Abstract

Aristotle's importance in the professional study of language consists first of all in the fact that he demythologized language and made it an object of rational investigation. In the context of his theory of truth as correspondence, he also provided the first semantic analysis of propositions in that he distinguished two main constituents, the predicate, which expresses a property, and the remainder of the proposition, referring to a substance to which the property is assigned. That assignment is either true or false. Later, the ‘remainder’ was called subject term, and the Aristotelian predicate was identified with the verb in the sentence. The Aristotelian predicate, however, is more like what is now called the ‘comment,’ whereas his remainder corresponds to the topic. Aristotle, furthermore, defined nouns and verbs as word classes. In addition, he introduced the term ‘case’ for paradigmatic morphological variation.

Abstract

The Logic of Language opens a new perspective on logic. Pieter Seuren argues that the logic of language derives from the lexical meanings of the logical operators. These meanings, however, prove not to be consistent. Seuren solves this problem through an indepth analysis of the functional adequacy of natural predicate logic and standard modern logic for natural linguistic interaction. He then develops a general theory of discourse-bound interpretation, covering discourse incrementation, anaphora, presupposition and topic-comment structure, all of which, the author claims, form the 'cement' of discourse structure. This is the second of a two-volume foundational study of language, published under the title Language from Within . Pieter Seuren discusses such apparently diverse issues as the ontology underlying the semantics of language, speech act theory, intensionality phenomena, the machinery and ecology of language, sentential and lexical meaning, the natural logic of language and cognition, and the intrinsically context-sensitive nature of language - and shows them to be intimately linked. Throughout his ambitious enterprise, he maintains a constant dialogue with established views, reflecting their development from Ancient Greece to the present. The resulting synthesis concerns central aspects of research and theory in linguistics, philosophy and cognitive science.