Arising out of one of the annual conferences I organise as Director of the University’s Centre for Applied Philosophy, Politics and Ethics (see http://arts.brighton.ac.uk/research/cappe/) -- ‘Interrogating Terror’ – and from my work on the editorial board of Critical Studies on Terrorism, this collection is published in the Routledge Critical Terrorism Studies series and brings together theoretical and empirical material to challenge the notion that ‘terrorism’ and/or ‘terror’ are transparent, given or limited to non-state agents. Instead, it seeks to expose the (...) political and discursive practices which underlie the use of these terms and which, in doing so, seek to shape our very conceptualisation of what is real. The book has two distinctive features. First, it is interdisciplinary, including contributions from philosophy, law, social policy, media studies, sociology and history. To that extent, the book may also be read as a concrete instantiation of the interdisciplinarity to which my colleagues and I are committed in our undergraduate teaching and our research practices. Second, its format is deliberately designed to foster critical and interdisciplinary engagement, by presenting readers with a series of examples of it. Each chapter is the subject of a commentary from one of the editors, to which each author in turn offers a brief reply. The book thus instantiates, in terms of both authorship and readership, a commitment to collaborative modes of inquiry, in the belief that attending to complex issues – and perhaps especially those bringing theoretical and practical issues together (see also 2009) -- is likely to require a collaborative approach. Dedicated to ‘What’s left of the Left’, the book at once marks a trajectory characterised by an increasing concern to combine academic scholarship and research with activist contributions and to understand how the language of ‘terror’ is coming to shape our political lives. (shrink)
Since their introduction by Partee and Rooth (1983) into linguistic theory, type shifting principles have been extensively employed in various linguistic domains, including nominal predicates (Partee 1987), kind denoting NPs (Chierchia 1998), interrogatives (Groenendijk and Stokhof 1989), scrambled definites (De Hoop and Van der Does 1998) and plurals (Winter 2001,2002). Most of the accounts that use type shifting principles employ them as ``last resort'' mechanisms, which apply only when other compositional mechanisms fail. This failure is often sloppily referred to (...) as type mismatch . The motivation for introducing type mismatch into the compositional mechanism is twofold: on the one hand it allows lexical items to be assigned the minimal types that are needed for describing their denotation; on the other hand, it has been argued that the ``last resort'' strategy of type shifting prevents derivation of undesired meanings. The first goal of this paper is to define a simple notion of type mismatch, which will rather closely follow Partee and Rooth's original proposal but will be expressed within more familiar terms of categorial semantics. After introducing this implementation of traditional type mismatch, it will be argued that in fact, it covers only one possible kind of trigger for type shifting principles. Partee and Rooth's notion of mismatch is ``external'' in that the type of an expression is changed only when it combines with another type to which it cannot compose using the ``normal'' compositional mechanism. It will be argued that, within an appropriate type system, another notion of mismatch is also useful. This is the kind of mismatch in which the semantic type of an expression does not match its syntactic category. Two such cases will be explored: mismatch between morpho-syntactic number (singular or plural) and semantic number (a denotation ranging over atoms or sets), and mismatch between syntactic category (noun, DP, adjective etc.) and semantic role (predicate, quantifier, predicate modifier etc.).. (shrink)
Cognitive science is transforming our understanding of the mind. New discoveries are changing how we comprehend not just language, but thought itself. Yet, surprisingly little of the new learning has penetrated discussions and analysis of the most important social institution affecting our lives-the law. Drawing on work in philosophy, psychology, anthropology, linguistics, and literary theory, Steven L. Winter has created nothing less than a tour de force of interdisciplinary (...) analysis. A Clearing in the Forest rests on the simple notion that the better we understand the workings of the mind, the better we will understand all its products-especially law. Legal studies today focus on analytic skills and grand normative theories. But, to understand how real-world, legal actors reason and decide, we need a different set of tools. Cognitive science provides those tools, opening a window on the imaginative, yet orderly mental processes that animate thinking and decisionmaking among lawyers, judges, and lay persons alike. Recent findings about how humans actually categorize and reason make it possible to explain legal reasoning in new, more cogent, more productive ways. A Clearing in the Forest is a compelling meditation on both how the law works and what it all means. In uncovering the irrepressibly imaginative, creative quality of human reason, Winter shows how what we are learning about the mind changes not only our understanding of law, but ultimately of ourselves. He charts a unique course to understanding the world we inhabit, showing us the way to the clearing in the forest. (shrink)
The idea to use choice functions in the semantic analysis of indefinites has recently gained increasing attention among linguists and logicians. A central linguistic motivation for the revived interest in this logical perspective, which can be traced back to the epsilon calculus of Hilbert and Bernays (1939), is the observation by Reinhart (1992,1997) that choice functions can account for the problematic scopal behaviour of indefinites and interrogatives. On-going research continues to explore this general thesis, which I henceforth adopt. In this (...) paper I would like to address the matter from two angles. First, given that the semantics of indefinites involves functions, it still does not follow that these have to be choice functions. The common practise is to stipulate this restriction in order to get existential semantics right. However, a so-far open question is whether there is any way to derive choice function interpretation from more general principles of natural language semantics. Another question that has not been formally accounted for yet concerns the relationships between choice functions and the ``specificity'' ``referentiality'' intuition of Fodor and Sag (1981) about indefinites. Is there a sense in which choice functions capture this popular pre-theoretical notion? In order to answer these questions, this paper proposes a revision in the treatment of choice functions in Winter (1997), leaving its linguistic predictions unaffected but changing slightly the compositional mechanism. This modification opens the way for proving the following theorem: function variables in the analysis of the noun phrase must denote only choice functions and can derive only the standard existential analysis by virtue of the conservativity, logicality and non-triviality universals of Generalized Quantifier Theory as proposed in Barwise and Cooper (1981), Van Benthem (1984), Thijsse (1983) and others. The same implementation also captures the ``specificity'' notion: indefinites with a non-empty restriction set denote principal ultrafilters in the revised formalization. These are the quantificational correlates to ``referential'' individuals.. (shrink)
DP hypothesis of Abney (1987), the syntactic unit that had formerly been known as noun phrase should in fact be analyzed as a phrase headed by a determiner, hence the label DP. Quite independently of this syntactic development, Partee (1987) proposed a type shifting paradigm for the semantic analysis of nominals (now called DPs). In Partee's proposal DPs are ambiguous between a referential reading of type e, a predicative reading of type et and a quantificational reading of type (et)t. DP (...) meanings can flexibly move between their different readings due to covert application of semantic operators. The present paper proposes some strong relationships between these syntactic and semantic paradigms. It is argued that the structure of the DP affects its semantics in that the NP level within the DP is purely predicative and the DP level itself is purely quantificational. However, the intermediate D' level is flexible between the predicate/quantifier semantic categories, due to the covert application of semantic operators at this level. Partee's assumption, adopted from Discourse Representation Theory and more traditional approaches in philosophical logic, that some DPs need to have a (discourse) referential reading, is withdrawn. Instead of Partee's type shifting operators between the three semantic categories she assumes, two operators are used between predicates and quantifiers. The choice function operation of Reinhart (1997) and Winter (1997) is used as a general operator from predicates to quantifiers. The minimum operator of Winter (1996) is used as a general operator from quantifiers to predicates. These two operations, referred to as category shifting operators , account for most of the Partee data and substantially extend the theory of flexibility to treat some intricate phenomena in the domains of coordination, plurality and scope. (shrink)
A number of prominent nonconsequentialists support the thesis that we can wrong the dead by violating their moral claims. In contrast, this study suggests that the arguments offered by Thomson, Scanlon, Dworkin, Feinberg and others do not warrant posthumous rights because having claim-grounding interests requires an entity to have the capacity to experience significance. If dead people don't have this capacity, there is no reason to attribute claims to them. Raising doubts about prominent hypothetical examples of ‘no-effect injury’, the study (...) concludes that nonconsequentialists should consider adopting an error theory regarding posthumous claims, and suggests two alternative explanations of the relevant moral domains. (shrink)
Expressions such as English himself are interpreted as locally bound anaphors in certain syntactic environments and are exempt from the binding conditions in others. This article provides a unified semantics for himself in both of these uses. Their difference is reduced to the interaction with the syntactic environment. The semantics is based on an extension of the treatment of pronominals in variable-free semantics. The adoption of variable free semantics is inspired by the existence of proxy-readings, which motivate an analysis based (...) on Skolem functions. It is explained why certain anaphor types allow proxy-readings whereas others do not. (shrink)
This paper introduces a compositional semantics of locativeprepositional phrases which is based on a vector space ontology.Model-theoretic properties of prepositions like monotonicity andconservativity are defined in this system in a straightforward way.These notions are shown to describe central inferences with spatialexpressions and to account for the grammaticality of prepositionmodification. Model-theoretic constraints on the set of possibleprepositions in natural language are specified, similar to the semanticuniversals of Generalized Quantifier Theory.
This paper argues against the continued practice of Confucian familism, even in its moderate form, in East Asian hospitals. According to moderate familism, a physician acting in concert with the patient's family may withhold diagnostic information from the patient, and may give it to the patient's family members without her prior approval. There are two main approaches to defend moderate familism: one argues that it can uphold patient's autonomy and protect her best interests; the other appeals to cultural relativism by (...) construing the principle of ‘family autonomy’ to be incommensurable with that of individual autonomy. We respond to the first approach by explaining how the familist arguments either depend on some unreasonable assumptions or simply fail to articulate. The critique of the second approach is based on our recent survey showing that there is no dichotomy of relevant values between the East and the West: we believe that the result can effectively block the familist's reliance on certain traditional or cultural values to explain their resistance to the incorporation of pluralist values. Despite our disagreement with familism, we consider the Eastern emphasis on the family to be conducive to the communication between patient, family members and medical personnel, which is indispensible to the patient's well being and autonomy. We conclude that respect for patient autonomy is perfectly consistent with the involvement of the family in making medical decision as long as the family plays a merely consultant role. (shrink)
This paper argues that multiple coordinations like tall, thin and happy are interpreted in a “flat” iterative process, but using “nested” recursive application of binary coordination operators in the compositional meaning derivation. Ample motivation for flat interpretation is shown by contrasting such coordinations with nested, syntactically ambiguous, coordinate structures like tall and thin and happy. However, new evidence coming from type shifting and predicate distribution with verb phrases show motivation for an independent hierarchical ingredient in the compositional semantics of multiple (...) coordination with no parallel hierarchy in the syntax. This establishes a contrast between operations at the syntax-semantics interface and compositional semantic mechanisms. At the same time, such evidence motivate the treatment of operations like type shifting and distributivity as purely semantic. (shrink)
Uniquely, this book also looks at the potential for 'horizontal' development of ABS law and policy, applying lessons from bilateral approaches to other national ...
Vector Space Semantics (VSS) is a branch of model-theoretic semantics that aims to apply logical approaches to meaning to the domain of spatial expressions by adopting vectors as the basic elements of spatial ontology. In this course we will review current work in VSS, giving sufficient introductory background on model-theoretic tools and previous work on spatial expressions.
This article studies the monotonicity behavior of plural determinersthat quantify over collections. Following previous work, we describe thecollective interpretation of determiners such as all, some andmost using generalized quantifiers of a higher type that areobtained systematically by applying a type shifting operator to thestandard meanings of determiners in Generalized Quantifier Theory. Twoprocesses of counting and existential quantification thatappear with plural quantifiers are unified into a single determinerfitting operator, which, unlike previous proposals, both capturesexistential quantification with plural determiners and respects theirmonotonicity (...) properties. However, some previously unnoticed factsindicate that monotonicity of plural determiners is not always preservedwhen they apply to collective predicates. We show that the proposedoperator describes this behavior correctly, and characterize themonotonicity of the collective determiners it derives. It is proved thatdeterminer fitting always preserves monotonicity properties ofdeterminers in their second argument, but monotonicity in the firstargument of a determiner is preserved if and only if it is monotonic inthe same direction in the second argument. We argue that this asymmetryfollows from the conservativity of generalized quantifiers innatural language. (shrink)
The Strongest Meaning Hypothesis of Dalrymple et al (1994,1998), which was originally proposed as a principle for the interpretation of reciprocals, is extended in this paper into a general principle of plural predication. This principle applies to complex predicates that are composed of lexical predicates that hold of atomic entities, and determines the pluralities in the extension of the predicate. The meaning of such a complex predicate is claimed to be the truth-conditionally strongest meaning that does not contradict lexical properties (...) of the simple predicates it contains. Weak interpretations of reciprocals (as in the books are stacked on top of each other), plural predicate conjunction (e.g. the books are old and new) and ’atomic’ distributivity in general are derived by a unified mechanism, which ’weakens’ the basic universal meanings of strong reciprocals, boolean conjunction and quantification over atomic entities. (shrink)
While information technologies present organizations with opportunities to become more competitive, unsettled social norms and lagging legislation guiding the use of these technologies present organizations and individuals with ethical dilemmas. This paper presents two studies investigating the relationship between intellectual property and privacy attitudes, Machiavellianism and Ethical Ideology, and working in R&D and computer literacy in the form of programming experience. In Study 1, Machiavellians believed it was more acceptable to ignore the intellectual property and privacy rights of others. Programmers (...) and R&D workers considered violating intellectual property rights more acceptable. Programmers did not consider violating privacy rights more acceptable, but R&D workers did. Finally, there was an interaction between Machiavellianism, programming and R&D. Machiavellians who also had programming experience or worked in R&D found violations of intellectual property much more acceptable. The effect of Machiavellianism on attitudes toward violations of privacy was enhanced by working in R&D, but not by programming experience. In Study 2, idealists believed it was less acceptable to ignore the intellectual property and privacy rights of others. Relativists found it more acceptable to violate intellectual property rights, though they did not consider it more acceptable to violate privacy rights. Those with programming experience were more accepting of intellectual property rights violations, but not of privacy violations. Finally, programming experience moderated the relationship between idealism, relativism and attitudes toward these unethical information practices. Implications for diminishing unethical behavior among Machiavellians, Relativists, programmers and those in R&D are discussed. (shrink)
This article enquires into the value of 'concepts' as a framework for the school curriculum by questioning their contribution towards our responsibilities for thinking about the earth. I take Derrida's deconstructive reading of Plato's Timaeus to show how spaces in meaning can be revealed, and more transgressive ways of knowing invited in. Derrida's Kh ra marks the opportunity for something new, productive and unforeseeable to arise as the play of traces unfurls. A deconstructive reading of the geography national curriculum policy (...) exposes the impracticality and impossibility of following the text as a definitive scheme and basis for curriculum planning. The paper ends with a spacing of a real place for the geography curriculum by appropriating four different ways of knowing Whitby, a harbour town in north-east England, outside the conceptual scheme. The paper contrasts an approach that is essentially general, conceptual and at the level of the plan, map or net, with a deconstructive approach that welcomes in other, more ethically responsible and imaginative meanings. (shrink)
This paper develops an inference system for natural language within the ‘Natural Logic’ paradigm as advocated by van Benthem (1997), Sánchez (1991) and others. The system that we propose is based on the Lambek calculus and works directly on the Curry-Howard counterparts for syntactic representations of natural language, with no intermediate translation to logical formulae. The Lambek-based system we propose extends the system by Fyodorov et~al. (2003), which is based on the Ajdukiewicz/Bar-Hillel (AB) calculus Bar Hillel, (1964). This enables the (...) system to deal with new kinds of inferences, involving relative clauses, non-constituent coordination, and meaning postulates that involve complex expressions. Basing the system on the Lambek calculus leads to problems with non-normalized proof terms, which are treated by using normalization axioms. (shrink)
The standard model for mereotopological structures are Boolean subalgebras of the complete Boolean algebra of regular closed subsets of a nonempty connected regular T 0 topological space with an additional "contact relation" C defined by xCy x ØA (possibly) more general class of models is provided by the Region Connection Calculus (RCC) of Randell et al. We show that the basic operations of the relational calculus on a "contact relation" generate at least 25 relations in any model of the RCC, (...) and hence, in any standard model of mereotopology. It follows that the expressiveness of the RCC in relational logic is much greater than the original 8 RCC base relations might suggest. We also interpret these 25 relations in the the standard model of the collection of regular open sets in the two-dimensional Euclidean plane. (shrink)
In this paper we introduce a theoretical framework and a logical application for analyzing the semantics and pragmatics of contrastive conjunctions in natural language. It is shown how expressions like although, nevertheless, yet and but are semantically definable as connectives using an operator for implication in natural language and how similar pragmatic principles affect the behaviour of both contrastive conjunctions and indicative conditionals. Following previous proposals, conditions on contrast in a conjunction are analyzed as presuppositions of the conjunction. Further linguistic (...) evidence leads to a distinction between restrictive and non-restrictive connectives of contrast, and consequently between direct and indirect contrast, which are given a precise definition. (shrink)
This article studies the monotonicity behavior of plural determiners that quantify over collections. Following previous work, we describe the collective interpretation of determiners such as all, some and most using generalized quantifiers of a higher type that are obtained systematically by applying a type shifting operator to the standard meanings of determiners in Generalized Quantifier Theory. Two processes of counting and existential quantifi- cation that appear with plural quantifiers are unified into a single determiner fitting operator, which, unlike previous proposals, (...) both captures existential quantification with plural determiners and respects their monotonicity properties. However, some previously unnoticed facts indicate that monotonicity of plural determiners is not always preserved when they apply to collective predicates. We show that the proposed operator describes this behavior correctly, and characterize the monotonicity of the collective determiners it derives. It is proved that determiner fitting always preserves monotonicity properties of determiners in their second argument, but monotonicity in the first argument of a determiner is preserved if and only if it is monotonic in the same direction in the second argument. We argue that this asymmetry follows from the conservativity of generalized quantifiers in natural language. (shrink)
This paper will suggest a mapping for human dynamics to see where emerging digital technology currently and could further affect the dynamics of the human, technological and natural, and the cultural forms that define them. Emerging technology will be seen to reveal and surpass the limitations of human measures built on human abilities and perception. and the social structures that are derived from them. The formation of this conceptual mapping is based on the premise that digital technology has the ability (...) to better relay and hence refine dynamics working at points where culture is created and necessitated in our perception of a shared reality. Technology thus alleviates the layering, representation, labelling, and reification notions of culture that are based in human perceptual limitations. Information as referential will be seen against the tendency of technology to offer succinct mediation and direct actions as a format for any change and application with refined cultural constructions. The mapping presents a notion of homeostasis or more bereft of balance at the point where the proximal dynamics of the unit, that is, the individual, is closely supported by the technology with a changing orientation to the dynamics of a natural environment. The notion of a person as an individual is also reconsidered in terms of technology and how this changing definition is part of how we conceptualize a balanced world. Nonlinear mapping rendered in a complex will be introduced to align these mixed dynamics. Complex is here defined as a concurrence of dynamics evident in shifts of change that act as a whole and where each action affects the whole. As measures are revealed so, too, will be the source of notions of linearity and nonlinearity; mapping; point of view as a basis of complexity; and evolutionary theory as a function of a labeling of cultural dynamics. (shrink)
The course will give a concise introduction to compositional modeltheoretic semantics in the Montague tradition, with ample discussion and motivation coming from recent research. Concentrating on the underlying methodological principles, I will aim to attract students' attention to the beauty and scientific value of the description of intricate semantic phenomena using elegant and rigorously-defined mathematical techniques. The course is intended for students who don't necessarily have any prior knowledge in logic or linguistics, but have some basic mathematical or general scientific (...) background. The foundational concepts and techniques that will be covered include: entailment as a rich empirical domain, ambiguity, compositionality, direct modeltheoretic interpretation, types and model structure, boolean operators and generalized quantifiers. Motivations and examples will draw on recent research of coordination, quantifier scope and intensionality. Further remarks about diverse problems involving plurality, spatial expressions, conceptual semantics and pragmatics will be made as time permits. (shrink)
We give a complete characterization of the class of upward monotone generalized quantifiers ¢¡ and ¤£ over countable domains that satisfy the scheme . This generalizes the characterization of such quantifiers over finite domains, according to which the scheme holds iff ¡ is or £ is ! (excluding trivial cases). Our result shows that in infinite domains, there are more general types of quantifiers that support these entailments.
The standard model for mereotopological structures are Boolean subalgebras of the complete Boolean algebra of regular closed subsets of a nonempty connected regular T0 topological space with an additional "contact relation" C defined by xCy ? x n ? Ã.
The distinction between syntactic and semantic techniques in linguistic theory is by now sufficiently clear. What is often debated is the extent to which syntactic and semantic considerations should be used in analyzing a given phenomenon. An empirical domain where the division of labour between syntax and semantics is especially problematic is the case of ``non-overt'' scope, or what I prefer to call the..
In this paper we examine partitioned interpretations of sentences with reciprocal expressions. We study the availability of partitioned readings with definite subjects and proper name conjunctions, and show new evidence that partitioned interpretations of simple reciprocal sentences are independent of the semantics of the reciprocal expression, and are exclusively determined by the interpretation of the subject.
This paper concentrates on the syntax and semantics of bare nominals in Germanic and Romance languages. These languages do not normally allow nominals to occur without an article. However, some syntactic configurations, including predicative constructions, supplementives and some prepositional phrases, allow bareness of certain nominals. We argue that bare nominals in these constructions refer to capacities: professions, religions, nationalities or other roles in society. Capacities are analyzed as entities of type e, sortally distinct from regular individuals as well as kinds. (...) We further argue that the capacity interpretation is associated with NP – a layer within the DP that lacks number features. This accounts for the number-neutral status of bare nominals. We also show some patterns in languages other than Romance and Germanic that provide further cross-linguistic support for the postulation of capacities as a separate ontological category, specific to a low position within the DP. (shrink)
This dissertation is based on the compositional model theoretic approach to natural language semantics that was initiated by Montague (1970) and developed by subsequent work. In this general approach, coordination and negation are treated following Keenan & Faltz (1978, 1985) using boolean algebras. As in Barwise & Cooper (1981) noun phrases uniformly denote objects in the boolean domain of generalized quanti®ers. These foundational assumptions, although elegant and minimalistic, are challenged by various phenomena of coordination, plurality and scope. The dissertation solves (...) these problems by developing a ¯exible process of meaning composition, as ®rst proposed by Partee & Rooth (1983). Flexible interpretation involves semantic operations without any phonological counterpart, which participate in the interpretation process and change meanings of overt expressions. The dissertation introduces a novel ¯exible system where a small number of operations describe the behaviour of complex phenomena such as `non-boolean' and, the scope of inde®nites and the semantics of collectivity with quanti®cational NPs. The proposed theory is based on a distinction between two features of meanings in natural language. (shrink)
We characterize pairs of monotone generalized quantifiers Q1 and Q2 over finite domains that give rise to an entailment relation between their two relative scope construals. This relation between quantifiers, which is referred to as scope dominance, is used for identifying entailment relations between the two scopal interpretations of simple sentences of the form NP1-V- NP2. Simple numerical or set-theoretical considerations that follow from our main result are used for characterizing such relations. The variety of examples in which they hold (...) are shown to go far beyond the familiar existentialuniversal type. (shrink)
We give a complete characterization of the class of upward monotone generalized quantifiers Q1 and Q2 over countable domains that satisfy the scheme Q1 x Q2 y φ → Q2 y Q1 x φ. This generalizes the characterization of such quantifiers over finite domains, according to which the scheme holds iff Q1 is ∃ or Q2 is ∀ (excluding trivial cases). Our result shows that in infinite domains, there are more general types of quantifiers that support these entailments.
We characterize pairs of monotone generalized quantifiers Q1 and Q2 over finite domains that give rise to an entailment relation between their two relative scope construals. This relation between quantifiers, which is referred to as scope dominance, is used for identifying entailment relations between the two scopal interpretations of simple sentences of the form NP1–V–NP2. Simple numerical or set-theoretical considerations that follow from our main result are used for characterizing such relations. The variety of examples in which they hold are (...) shown to go far beyond the familiar existential-universal type. (shrink)
Freud's early attempts to account for repression and for the occurrence of neurotic symptoms in terms of detachable and displaceable quantities of affect?charge (cathexis) has continued to be a basic aspect of psychoanalytic theory. This is unfortunate since the account is inadequate and its central concept, that of a quantity of energy, is unsuited to the task at hand. We see that, despite the appropriateness of describing neurotic behavior in dynamic/economic terms, the use of energy concepts on the theoretical level (...) is an explanatory dead?end. (shrink)
In this paper we introduce a theoretical framework and a logical application for analyzing the semantics and pragmatics of contrastive conjunctions in natural language. It is shown how expressions like "although", "nevertheless", "yet" and "but" are semantically definable as connectives using an operator for implication in natural language, and how similar pragmatic principles affect the behaviour of both contrastive conjunctions and indicative conditionals. Following previous proposals, conditions on contrast in a conjunction are analyzed as presuppositions of the conjunction. Further linguistic (...) evidence leads to a distinction between restrictive and non-restrictive connectives of contrast, and consequently between direct and indirect contrast, which are given a precise definition. (shrink)
Words in Semitic texts often consist of a concatenation of word segments, each corresponding to a Part-of-Speech (POS) category. Semitic words may be ambiguous with regard to their segmentation as well as to the POS tags assigned to each segment. When designing POS taggers for Semitic languages, a major architectural decision concerns the choice of the atomic input tokens (terminal symbols). If the tokenization is at the word level the output tags must be complex, and represent both the segmentation of (...) the word and the POS tag assigned to each word segment. If the tokenization is at the segment level, the input itself must encode the different alternative segmentations of the words, while the output consists of standard POS tags. Comparing these two alternatives is not trivial, as the choice between them may have global effects on the grammatical model. Moreover, intermediate levels of tokenization between these two extremes are conceivable, and, as we will aim to show, beneficial. To the best of our knowledge, the problem of tokenization for POS tagging of Semitic languages has not been addressed before in full generality. In this paper, we study this problem for the purpose of POS tagging of Modern Hebrew texts. After extensive error analysis of the two simple tokenization models, we propose a novel, linguistically-motivated, intermediate tokenization model that gives better performance for Hebrew over the two initial architectures. Our study is based on the well-known Hidden Markov Models (HMMs). We start out from a manually devised morphological analyzer and a very small annotated corpus, and describe how to adapt an HMM-based POS tagger for both tokenization architectures. We present an effective technique for smoothing the lexical probabilities using an untagged corpus, and a novel transform for casting the segment-level tagger in terms of a standard, word-level, HMM implementation. The results obtained using our model are on par with the best published results on Modern Standard Arabic, despite the much smaller annotated corpus available for Modern Hebrew.. (shrink)
Sentences with multiple occurrences of plural definites give rise to certain effects suggesting that distributivity should be modeled by polyadic operations. Yet, in this paper it is argued that the simpler treatment of distributivity using unary universal quantification should be retained. Seemingly polyadic effects are claimed to be restricted to definite NPs. This fact is accounted for by the special anaphoric (dependent) use of definites. Further evidence concerning various plurals, island constraints and cumulative quantification are shown to support this claim. (...) In addition, it is shown that also the evidence against a simple atomic version of unary distributivity is not decisive. In the (uncommon) cases where distributivity with definites is not strictly atomic, they can be analyzed as dependent on implicit quantifiers. (shrink)
We treat a class of multi-person bargaining mechanisms based on games in coalitional form. For this class of games we identify properties of non-cooperative solution concepts, which are necessary and sufficient for the equilibrium outcomes to coincide with the core of the underlying coalitional form game. We view this result as a non-cooperative axiomatization of the core. In contrast to most of the literature on multi-person bargaining we avoid a precise specification of the rules of the game. Alternatively, we impose (...) properties of such games, which give rise to a large class of mechanisms, all of which are relevant for our axiomatization. (shrink)
