Cet article met en débat deux méthodes d’analyse des compléments du verbe en grammaire scolaire : l’analyse traditionnelle en compléments d’objet et compléments circonstanciels et l’analyse en compléments « du verbe » et « de phrase » de ce qu’on appelle la « nouvelle grammaire ». Il porte un regard critique sur le point de vue de la nouvelle grammaire et défend celui de la grammaire traditionnelle en montrant notamment que, pour peu qu’on n’en déforme pas la définition initiale, celle-ci (...) met en œuvre une technique d’analyse conforme aux méthodes de la linguistique moderne. (shrink)

La démocratie délibérative s’oppose fréquemment à une conception rationnelle du citoyen qui, selon ses théoriciens, ne permet pas d’atteindre une authentique démocratie. Pourtant, la démocratie délibérative souffre elle-même de difficultés théoriques importantes dont une partie des solutions a déjà été abordée dans la théorie du choix rationnel. Nous voulons montrer que le choix rationnel, dans sa version « étendue », peut servir à améliorer la démocratie délibérative sans pour autant en ébranler ses fondements. Nous effectuerons d’abord un survol de la (...) démocratie délibérative, en insistant sur les questions de formation et d’expression des préférences des citoyens dans l’agora. Nous y découvrirons certaines difficultés théoriques que nous tenterons par la suite de résoudre par un ensemble de mécanismes issus de la théorie du choix rationnel. Parallèlement, nous verrons que la délibération raisonnable est possible dans un paradigme rationnel, que nous appelons la « délibération circonstancielle ».Deliberative democracy frequently rejects the rational citizen model since, according to its proponents, it would not yield a proper democracy. And yet, deliberative democracy contains important theoretical difficulties, some of which have been dealt with by rational-choice theory. We intend to show that a “broad” version of rational-choice theory can actually improve deliberative democracy without condemning its foundations. First, we will briefly examine deliberative democracy, focusing on the formation and expression of citizens’preferences in the agora. Some theoretical problems will be identified; several mechanisms drawn from rational-choice theory will be used to try to solve them. Simultaneously, we will see that reasonable deliberation is possible in a rational-choice paradigm, in a model I call “circumstantial deliberation”. (shrink)

A finer-grained delineation of a given explanandum reveals a nexus of closely related causal and non- causal explanations, complementing one another in ways that yield further explanatory traction on the phenomenon in question. By taking a narrower construal of what counts as a causal explanation, a new class of distinctively mathematical explanations pops into focus; Lange’s characterization of distinctively mathematical explanations can be extended to cover these. This new class of distinctively mathematical explanations is illustrated with the Lotka-Volterra equations. There (...) are at least two distinct ways those equations might hold of a system, one of which yields straightforwardly causal explanations, but the other of which yields explanations that are distinctively mathematical in terms of nomological strength. In the first, one first picks out a system or class of systems, finds that the equations hold in a causal -explanatory way; in the second, one starts with the equations and explanations that must apply to any system of which the equations hold, and only then turns to the world to see of what, if any, systems it does in fact hold. Using this new way in which a model might hold of a system, I highlight four specific avenues by which causal and non- causal explanations can complement one another. (shrink)

A finer-grained delineation of a given explanandum reveals a nexus of closely related causal and non-causal explanations, complementing one another in ways that yield further explanatory traction on the phenomenon in question. By taking a narrower construal of what counts as a causal explanation, a new class of distinctively mathematical explanations pops into focus; Lange’s characterization of distinctively mathematical explanations can be extended to cover these. This new class of distinctively mathematical explanations is illustrated with the Lotka–Volterra equations. There are (...) at least two distinct ways those equations might hold of a system, one of which yields straightforwardly causal explanations, and another that yields explanations that are distinctively mathematical in terms of nomological strength. In the first case, one first picks out a system or class of systems, and finds that the equations hold in a causal–explanatory way. In the second case, one starts with the equations and explanations that must apply to any system of which the equations hold, and only then turns to the world to see of what, if any, systems it does in fact hold. Using this new way in which a model might hold of a system, I highlight four specific avenues by which causal and non-causal explanations can complement one another. _1_. Introduction _2._ Delineating the Boundaries of Causal Explanation _2.1._ Why construe causal explanation narrowly? The land of explanation versus grain-focusing _2.2._ Reasons to narrow the scope of causal explanation _3._ Broadening the Scope of Mathematical Explanation _4._ Lotka–Volterra: Same Model, Different Explanation Types _4.1._ General biocide in the Lotka–Volterra model _4.2._ Two ways a model can hold, yielding causal versus mathematical explanations _5._ Four Complementary Relationships between Mathematical and Causal Explanation _5.1._ Slight reformulations of explananda _5.2._ Causal distortion of idealized mathematical models _5.3._ Partial explanations requiring supplementation _5.4._ Explanatory dimensionality _6._ Conclusion. (shrink)

In this paper, I address the problem wherein the same English word permits one of its complement positions to be satisfied by phrases of different categories. A well-known example of such an English word is the copula to be, whose complements include adjective phrases, noun phrases, prepositional phrases and adverbial phrases. I provide a way to treat such words, in particular verbs, as single lexical items through a conservative extension of the usual treatment of word classification as a pair comprising (...) a part of speech category and a complement list. I then show how a further conservative extension of complement lists permits a satisfactory formalization of doubly complemented English verbs which are synonymous under a permutation of their complements. These verbs include, but are not limited to, so-called double object constructions. (shrink)

Say that a nonzero c. e. degree b is a quasi-complement of a c. e. degree a if a ∩ b = 0 and a ∪ b is high. It is well-known that each cappable degree has a high quasi-complement. However, by the existence of the almost deep degrees, there are nonzero cappable degrees having no low quasi-complements. In this paper, we prove that any nonzero cappable degree has a low2 quasi-complement.

A key factor that affects whether and at what age children can demonstrate an understanding of false belief and complement‐clause constructions is the type of task used (whether it is implicit/indirect or explicit/direct). In the current study, we investigate, in an implicit/indirect way, whether children understand that a story character's belief can be true or false, and whether this understanding affects children's choice of linguistic structure to describe the character's belief or to explain the character's belief‐based action. We also measured (...) children's understanding of false belief in explicit false‐belief tasks. English‐ and German‐speaking young 4‐ and 5‐year‐olds as well as English‐ and German‐speaking adult controls heard complement‐clause constructions in a story context where the belief mentioned in the complement clause (e.g., “He thinks thatshe's not feeling well”) turned out to be false, true, or was left open. After hearing the test question (“Why does he not play with her?”), all age groups were most likely to repeat the whole complement‐clause construction when the belief turned out to be false. That is, they tended to explicitly refer to the character's perspective and say “He thinks…” When the belief turned out to be true, participants often reverted to a simple clause (“She's not feeling well”). Furthermore, children with better short‐term memory were more likely to repeat the whole complement‐clause construction. However, children's performance in explicit false‐belief tasks showed no relation to their performance in our novel, more implicit/indirect, task. Whether or not the complement clause was introduced by athatcomplementizer only had a small effect on the German adults’ responses, where leaving out the complementizer also changes the word order of the complement clause. Overall, our results suggest that task characteristics and individual differences in short‐term memory affect children's ability to demonstrate false‐belief understanding and to express this understanding linguistically. (shrink)

It is well known that in Bishop-style constructive mathematics, the closure of the union of two subsets of ℝ is ‘not’ the union of their closures. The dual situation, involving the complement of the closure of the union, is investigated constructively, using completeness of the ambient space in order to avoid any application of Markov's Principle.

We examine, from a constructive perspective, the relation between the complements of S, T, and S ∩ T in X, where X is either a metric space or a normed linear space. The fundamental question addressed is: If x is distinct from each element of S ∩ T, if s ϵ S, and if t ϵ T, is x distinct from s or from t? Although the classical answer to this question is trivially affirmative, constructive answers involve Markov's principle and (...) the completeness of metric spaces. (shrink)

Mortensen studies dual intuitionistic logic by dualizing topos internal logic, but he did not study a sequent calculus. In this paper I present a sequent calculus for complement-topos logic, which throws some light on the problem of giving a dualization for LJ.

Two algebraic structures, the contrapositionally complemented Heyting algebra (ccHa) and the contrapositionally |$\vee $| complemented Heyting algebra (c|$\vee $|cHa), are studied. The salient feature of these algebras is that there are two negations, one intuitionistic and another minimal in nature, along with a condition connecting the two operators. Properties of these algebras are discussed, examples are given and comparisons are made with relevant algebras. Intuitionistic Logic with Minimal Negation (ILM) corresponding to ccHas and its extension |${\textrm {ILM}}$|-|${\vee }$| for c|$\vee (...) $|cHas are then investigated. Besides its relations with intuitionistic and minimal logics, ILM is observed to be related to Peirce’s logic and Vakarelov’s logic MIN. With a focus on properties of the two negations, relational semantics for ILM and |${\textrm {ILM}}$|-|${\vee }$| are obtained with respect to four classes of frames, and inter-translations between the classes preserving truth and validity are provided. ILM and |${\textrm {ILM}}$|-|${\vee }$| are shown to have the finite model property with respect to these classes of frames and proved to be decidable. Extracting features of the two negations in the algebras, a further investigation is made, following logical studies of negations that define the operators independently of the binary operator of implication. Using Dunn’s logical framework for the purpose, two logics |$K_{im}$| and |$K_{im-{\vee }}$| are discussed, where the language does not include implication. The |$K_{im}$|-algebras are reducts of ccHas and are different from relevant algebraic structures having two negations. The negations in the |$K_{im}$|-algebras and |$K_{im-{\vee }}$|-algebras are shown to occupy distinct positions in an enhanced form of Dunn’s kite of negations. Relational semantics for |$K_{im}$| and |$K_{im-{\vee }}$| is provided by a class of frames that are based on Dunn’s compatibility frames. It is observed that this class coincides with one of the four classes giving the relational semantics for ILM and |${\textrm {ILM}}$|-|${\vee }$|⁠. (shrink)

Posner [6] has shown, by a nonuniform proof, that every ▵ 0 2 degree has a complement below 0'. We show that a 1-generic complement for each ▵ 0 2 set of degree between 0 and 0' can be found uniformly. Moreover, the methods just as easily can be used to produce a complement whose jump has the degree of any real recursively enumerable in and above $\varnothing'$ . In the second half of the paper, we show that the complementation (...) of the degrees below 0' does not extend to all recursively enumerable degrees. Namely, there is a pair of recursively enumerable degrees a above b such that no degree strictly below a joins b above a. (This result is independently due to S. B. Cooper.) We end with some open problems. (shrink)

Through contact algebras we study theories of mereotopology in a uniform way that clearly separates mereological from topological concepts. We identify and axiomatize an important subclass of closure mereotopologies called unique closure mereotopologies whose models always have orthocomplemented contact algebras , an algebraic counterpart. The notion of MT-representability, a weak form of spatial representability but stronger than topological representability, suffices to prove that spatially representable complete OCAs are pseudocomplemented and satisfy the Stone identity. Within the resulting class of contact algebras (...) the strength of the algebraic complementation delineates two classes of mereotopology according to the key ontological choice between mereological and topological closure operations. All closure operations are defined mereologically if and only if the corresponding contact algebras are uniquely complemented while topological closure operations highly restrict the contact relation but allow not uniquely complemented and nondistributive contact algebras. Each class contains a single ontologically coherent theory that admits discrete models. (shrink)

A complement clause is used instead of a noun phrase; for example one can say either I heard [the result] or I heard [that England beat France]. Languages differ in the grammatical properties of complement clauses, and the types of verbs which take them. Some languages lack a complement clause construction but instead employ other construction types to achieve similar ends; these are called complementation strategies. The book explores the variety of types of complementation found across the languages of the (...) world, their grammatical properties and meanings. Detailed studies of particular languages, including Akkadian, Israeli, Jarawara, and Pennsylvania German, are framed by R. M. W. Dixon's introduction, which sets out the range of issues, and his conclusion, which draws together the evidence and the arguments. This book will interest scholars of typology, language universals, syntax, information structure, and language contact in departments of linguistics and anthropology, as well as advanced and graduate students taking courses in these subjects. (shrink)

We explore an analogue of major subset for Π0 1 classes, which leads to the definition and characterization of almost complemented Π0 1 classes.

"The idea for this book arose in connection with the Workshop on Semantic functions of complementizers in European languages, which we organized in October 28-29, 2011, at the University of Copenhagen, Denmark. Around two thirds of the book chapters are elaborations on contributions to this workshop, the remaining one third arose independently of the workshop.".

We prove that for any computably enumerable degree c, if it is cappable in the computably enumerable degrees, then there is a d.c.e. degree d such that c d = 0′ and c ∩ d = 0. Consequently, a computably enumerable degree is cappable if and only if it can be complemented by a nonzero d.c.e. degree. This gives a new characterization of the cappable degrees.

I show that words with indefinite implicit complements occasion a dilemma for their model theory. There has been only two previous attempts to address this problem, one by Fodor and Fodor (1980) and one by Dowty (1981). Each requires that any word tolerating an implicit complement be treated as ambiguous between two different lexical entries and that a meaning postulate or lexical rule be given to constrain suitably the meanings of the various entries for the word. I show that the (...) positing of such an ambiguity runs counter to the facts and propose an alternative solution which does not appeal to ambiguity, meaning postulates or lexical rules. Indeed, I show that the dilemma posed by indefinite implicit complements is posed by all implicit complements and that a general solution to the problem of implicit complements follows from an independently motivated, single treatment of five other problems, that of subcategorization, that of phrasal projections of words, that of defining a model theoretic structure for phrase structure grammars, that of complement polyvalence and that of complement polyadicity. (shrink)

This paper presents an analysis of wh-complements in Montague Grammar. We will be concerned primarily with semantics, though some remarks on syntax are made in Section 4. Questions and wh-comple ments in Montague Grammar have been studied in Hamblin (1976), Bennett (1979), Karttunen (1977) and Hauser (1978) among others. These proposals will not be discussed explicitly, but some differences with Karttunen's analysis will be pointed out along the way.

Research focusing on Anglo-European languages indicates that children’s acquisition of the subordinate structure of complement-clause constructions and the semantics of mental verbs facilitates their understanding of false belief, and that the two linguistic factors interact. Complement-clause constructions support false-belief development, but only when used with realis mental verbs like ‘think’ in the matrix clause (de Villiers, Jill. 2007. The interface of language and Theory of Mind.Lingua117(11). 1858–1878). In Chinese, however, only the semantics of mental verbs seems to play a facilitative (...) role in false-belief development (Cheung, Him, Hsuan-Chih Chen & William Yeung. 2009. Relations between mental verb and false belief understanding in Cantonese-speaking children.Journal of Experimental Child Psychology104(2). 141–155). We argue that these cross-linguistic differences can be explained by variations in availability and usage patterns of mental verbs and complement-clause constructions across languages. Unlike English, Mandarin-Chinese has a verb that indicates that a belief might be false:yi3wei2‘(falsely) think’. Our corpus analysis suggests that, unlike English caregivers, Mandarin-Chinese caregivers do not produce frequent, potentially unanalyzed, chunks with mental verbs and first-person subjects, such as ‘I think’. In an experiment, we found that the comprehension of complement-clause constructions used withyi3wei2‘(falsely) think’, but not withjue2de2‘think’, predicted Mandarin children’s false-belief understanding between the ages of 4 and 5. In contrast to English, whether mental verbs were used with first- or third-person subjects did not affect their correlation with false-belief understanding. (shrink)

Résumé Cet article a pour objectif d’introduire la géoesthésique, une approche des sciences de la culture traitant des interactions entre l’espace et la réception sémiotique. Le tournant spatial des arts et des sciences de la fin du vingtième a inspiré la création de plusieurs nouvelles approches liées à l’espace et au territoire. La Géopoétique de Kenneth White, la Géocritique de Westphal et plus tard de Prieto et Tally, la Géoesthétique de Quirós et Imhoff et éventuellement même la géosymbolique travaillée par (...) Mario Bédard et Christiane Lahaie (2008). C’est en remarquant l’absence, parmi toutes ces approches, d’une approche dont le point central serait, non pas l’espace, mais la réception, et son lien avec l’espace, que Louis Hébert nous a suggérer de concevoir et de rédiger les prémisses d’une telle approche. La géoesthésique serait ainsi une approche pratique et expérimentale grâce à laquelle on pourrait observer l’impact que peut avoir l’espace sur la réception sémiotique d’un élément donné ou l’influence d’une réception sémiotique donnée sur la perception d’un espace fixe. (shrink)

The following theorems are proved about the Frattini-free componentG Φ of a soluble stable ℜ-group: a) If it has a normal subgroupN with nilpotent quotientG Φ/N, then there is a nilpotent subgroupH ofG Φ withG Φ=NH. b) It has Carter subgroups; if the group is small, they are all conjugate. c) Nilpotency modulo a suitable Frattini-subgroup (to be defined) implies nilpotency. The last result makes use of a new structure theorem for the centre of the derivative of the Frattini-free component (...) of a centreless soluble ℜ-group. (shrink)

After showing by means of several examples the significant role that standard abduction plays both in observational and in theoretical natural sciences, I introduce in this paper preduction as a deductive discovery strategy. I argue that deductive reasoning can be extended to the context of discovery of theoretical natural sciences, such as mathematical physics, and I use the term theoretical preduction to denote the way of reasoning that consists in the implementation of deductive reasoning in scientific creativity. Moreover, standard abduction (...) is not always sufficient to provide best explanations in science. It is widely known that during the 1960s, abduction was identified as a form of inference to the best explanation. But when the explanation of many natural phenomena requires more than spontaneous acts of creativity, such as those that one might imagine in the cases of Kepler, Darwin or Wegener, much mathematical work has to be done in addition in order to advance justified theoretical explanations. In those cases, the explanation takes place more preductivo. I term sophisticated abduction the corresponding form of inference to the best explanation. (shrink)

A recent solution to the Body-Minus problem, which is a problem of material constitution, claims that ordinary proper parts (such as left feet) exist, but the complements of these objects (such as left-foot complements) do not exist. In this paper, I examine a defense of this solution from the worry of arbitrariness and from its ineffectiveness against a revised version of the problem that focuses on the head, and I show that this defense fails.

ZusammenfassungDas Potenzialitätsargument ist das wohl wichtigste Argument der Gegner der verbrauchenden Embryonenforschung und des Schwangerschaftsabbruchs. Weil schon der frühe Embryo eine potenzielle Person sei, so das Argument, besitze er bereits den moralischen Status einer Person. Mit der Möglichkeit, aus differenzierten somatischen Zellen „ethisch unproblematische“ induzierte pluripotente Stammzellen zu gewinnen, schien diese PA-Problematik zumindest für die Forschung umgangen. Indessen zeigen neuere wissenschaftliche Erkenntnisse, dass auch aus pluripotenten Zellen neue Organismen erwachsen können. Der Beitrag argumentiert dafür, dass nach der Logik von PA (...) nicht nur iPS-Zellen, sondern auch die somatischen Zellen, aus denen diese entstehen, als potenzielle Personen mit Würde und Lebensrecht anzusehen wären. Aufgrund dieser Implikationen ist PA auch nicht als Argument für ein Lebensrecht von Embryonen geeignet. (shrink)

We show that a morphism of locales is open if and only if all its pullbacks are skeletal in the sense of [P.T. Johnstone, Factorization theorems for geometric morphisms, II, in: Categorical Aspects of Topology and Analysis, in: Lecture Notes in Math., vol. 915, Springer-Verlag, 1982, pp. 216–233], i.e. pulling back along them preserves denseness of sublocales . This result may be viewed as the ‘dual’ of the well-known characterization of proper maps as those which are stably closed. We also (...) investigate the circumstances in which a particular sublocale, or set of sublocales, of a given locale, may be ‘declared closed’. (shrink)

Les livres deutérocanoniques constituent un «intertestament» entre les écrits de la Bible rabbinique et ceux du Nouveau Testament chrétien. Ils sont sur une frontière, un fossé ou un pont entre le christianisme naissant et le judaïsme renaissant après 135. Ils font aussi le lien entre la Gola araméenne et la Diaspora hellénistique. Les écrits intertestamentaires – et spécifiquement les deutérocanoniques qui sont comme un «intertestament» canonique – sont vraiment nécessaires à la compréhension de la Bible.

It is shown that for every degree 0