Publications

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

Ray Jackendoff and I seem to concur in most essential points. At the level of overall architecture, his parallel grammar model (Jackendoff 2002:199) and my model of SEMANTIC SYNTAX (SeSyn; Seuren 1996) bear a nontrivial resemblance.Apart from technical details such as the properties of the rule systems concerned, these models seem to differmainly in two respects.

Abstract

It was with great pleasure that I read Ray Jackendoff’s discussion note ‘What is the human language faculty? Two views’, published in Language 87.3.586–624 (September 2011). Since it was not presented as an ordinary article but as a ‘discussion note’, it seemed appropriate to ask the editors of Language to print a short reaction, meant to make a positive contribution to the discussion.

Abstract

It has been known at least since Abelard (12th century) that the classic Square of Opposition suffers from so-called undue existential import (UEI) in that this system of predicate logic collapses when the class denoted by the restrictor predicate is empty. It is usually thought that this mistake was made by Aristotle himself, but it has now become clear that this is not so: Aristotle did not have the Conversions but only one-way entailments, which ‘saves’ the Square. The error of UEI was introduced by his later commentators, especially Apuleius and Boethius. Abelard restored Aristotle’s original logic. After Abelard, some 14th- and 15th-century philosophers (mainly Buridan and Ockham) meant to save the Square by declaring the O-corner true when the restrictor class is empty. This ‘leaking O-corner analysis’, or LOCA, was taken up again around 1950 by some American philosopher-logicians, who now have a fairly large following. LOCA does indeed save the Square from logical disaster, but modern analysis shows that this makes it impossible to give a uniform semantic definition of the quantifiers, which thus become ambiguous—an intolerable state of affairs in logic. Klima (Ars Artium, Essays in Philosophical Semantics, Medieval and Modern, Institute of Philosophy, Hungarian Academy of Sciences, Budapest, 1988) and Parsons (in Zalta (ed.), The Stanford Encyclopedia of Philosophy, http://plato.standford.edu/entries/square/, 2006; Logica Univers. 2:3–11, 2008) have tried to circumvent this problem by introducing a ‘zero’ element into the ontology, standing for non-existing entities and yielding falsity when used for variable substitution. LOCA, both without and with the zero element, is critically discussed and rejected on internal logical and external ontological grounds.