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  1. Processes as variable embodiments.Nicola Guarino & Giancarlo Guizzardi - 2024 - Synthese 203 (4):1-27.
    In a number of papers, Kit Fine introduced a theory of embodiment which distinguishes between rigid and variable embodiments, and has been successfully applied to clarify the ontological nature of entities whose parts may or may not vary in time. In particular, he has applied this theory to describe a process such as the erosion of a cliff, which would be a variable embodiment whose manifestations are the different states of erosion of the cliff. We find this theory very powerful, (...)
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  • First-Order Logic with Adverbs.Tristan Grøtvedt Haze - forthcoming - Logic and Logical Philosophy:1-36.
    This paper introduces two languages and associated logics designed to afford perspicuous representations of a range of natural language arguments involving adverbs and the like: first-order logic with basic adverbs (FOL-BA) and first-order logic with scoped adverbs (FOL-SA). The guiding logical idea is that an adverb can come between a term and the rest of the statement it is a part of, resulting in a logically stronger statement. I explain various interesting challenges that arise in the attempt to implement the (...)
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  • Events in Contemporary Semantics.Friederike Moltmann - forthcoming - In James Bahoh (ed.), 21st-Century Philosophy of Events: Beyond the Analytic / Continental Divide. Edinburgh University Press.
    This paper will first give an overview of the role of events in semantics against the background of Davidsonian semantics and its Neo-Davidsonian variant. Second, it will discuss some serious issues for standard views of events in contemporary semantics and present novel proposals of how to address them. These are [1] the semantic role of abstract (or Kimean) states, [2] wide scope adverbials, and [3] the status of verbs as event predicates with respect to the mass-count distinction. The paper will (...)
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  • (1 other version)Adverbs of Action and Logical Form.Kirk Ludwig - 2010 - In Timothy O'Connor & Constantine Sandis (eds.), A Companion to the Philosophy of Action. Malden, MA: Wiley-Blackwell. pp. 40–49.
    This reviews, motivates, and extends the event analysis of action sentences and shows how it explains the compositionally of adverbial modification of action verbs and event verbs more generally. It includes a treatment of intensional adverbs like 'intentionally' and how it can be extended to the collective reading of plural action sentences.
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  • (1 other version)Mechanistic Explanations and Teleological Functions.Andrew Rubner - forthcoming - The British Journal for the Philosophy of Science.
    This paper defines and defends a notion of teleological function which is fit to figure in explanations concerning how organic systems, and the items which compose them, are able to perform certain activities, such as surviving and reproducing or pumping blood. According to this notion, a teleological function of an item (such as the heart) is a typical way in which items of that type contribute to some containing system's ability to do some activity. An account of what it is (...)
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  • A Simple Logic of Concepts.Thomas F. Icard & Lawrence S. Moss - 2022 - Journal of Philosophical Logic 52 (3):705-730.
    In Pietroski ( 2018 ) a simple representation language called SMPL is introduced, construed as a hypothesis about core conceptual structure. The present work is a study of this system from a logical perspective. In addition to establishing a completeness result and a complexity characterization for reasoning in the system, we also pinpoint its expressive limits, in particular showing that the fourth corner in the square of opposition (“ Some_not ”) eludes expression. We then study a seemingly small extension, called (...)
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  • Social Groups Are Concrete Material Particulars.Kevin Richardson - 2022 - Canadian Journal of Philosophy 52 (4):468-483.
    It is natural to think that social groups are concrete material particulars, but this view faces an important objection. Suppose the chess club and nature club have the same members. Intuitively, these are different clubs even though they have a common material basis. Some philosophers take these intuitions to show that the materialist view must be abandoned. I propose an alternative explanation. Social groups are concrete material particulars, but there is a psychological explanation of nonidentity intuitions. Social groups appear coincident (...)
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  • Knowledge Out of Control.Markos Valaris - 2022 - Philosophical Quarterly 72 (3):733-753.
    According to a thesis famously associated with Anscombe'sIntention, knowledge is a necessary condition of intentional action: when acting intentionally, we know what we are doing. Call this the Agential Knowledge thesis. The Agential Knowledge thesis remains, of course, controversial. Furthermore, as even some of its proponents acknowledge, it can appear puzzling: Why should acting intentionally require knowing what you are doing? My aim in this paper is to propose an explanation and defence of the Agential Knowledge thesis, based on the (...)
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  • Actual Control - Demodalising Free Will.David Heering - 2020 - Dissertation, University of Leeds
    Plausibly, agents act freely iff their actions are responses to reasons. But what sort of relationship between reason and action is required for the action to count as a response? The overwhelmingly dominant answer to this question is modalist. It holds that responses are actions that share a modally robust or secure relationship with the relevant reasons. This thesis offers a new alternative answer. It argues that responses are actions that can be explained by reasons in the right way. This (...)
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  • Disarming Context Dependence. A Formal Inquiry into Indexicalism and Truth-Conditional Pragmatics.Stellan Petersson - 2019 - Dissertation, University of Gothenburg
    In the debate about semantic context dependence, various truth-conditional frameworks have been proposed. Indexicalism, associated with e.g. Jason Stanley, accounts for contextual effects on truth conditions in terms of a rich covert syntax. Truth-conditional pragmatics, associated with e.g. François Recanati, does not locate the mechanisms for context dependence in the syntactic structure but provides a more complex semantics. In this dissertation, the hypothesis that indexicalism and truth-conditional pragmatics are empirically equivalent is explored. The conclusion that the hypothesis is correct emerges, (...)
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  • Musical meaning within Super Semantics.Philippe Schlenker - 2022 - Linguistics and Philosophy 45 (4):795-872.
    As part of a recent attempt to extend the methods of formal semantics beyond language, it has been claimed that music has an abstract truth-conditional semantics, albeit one that has more in common with iconic semantics than with standard compositional semantics. After summarizing this approach and addressing a common objection, we argue that music semantics should be enriched in three directions by incorporating insights of other areas of Super Semantics. First, it has been claimed by Abusch 2013 that visual narratives (...)
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  • On Content Uniformity for Beliefs and Desires.Daniel Skibra - 2021 - Review of Philosophy and Psychology 12 (2):279-309.
    The view that dominates the literature on intentional attitudes holds that beliefs and desires both have propositional content. A commitment to what I call “content uniformity” underlies this view. According to content uniformity, beliefs and desires are but different psychological modes having a uniform kind of content. Prima facie, the modes don’t place any constraint on the kinds of content the attitude can have. I challenge this consensus by pointing out an asymmetry between belief contents and desire contents which shows (...)
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  • Investigating the other side of agency: A cross-disciplinary approach to intentional omissions.Kaisa Kärki - 2019 - Dissertation, University of Jyväskylä
    This study develops conceptual means in philosophy of agency to better and more systematically address intentional omissions of agents, including those that are about resisting the action not done. I argue that even though philosophy of agency has largely concentrated on the actions of agents, when applying philosophy of action to the social sciences, a full-blown theoretical account of what agents do not do and a non-normative conceptual language of the phenomena in question is needed. Chapter 2 aims to find (...)
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  • How why-interrogatives work.Ryan Cox - 2019 - Synthese 198 (5):4651-4688.
    How do why-interrogatives work? How do they express the questions they express, in the contexts in which they express them? In this essay, I argue that, at a fundamental level, why-interrogatives work just like other wh-interrogatives, particularly other adjunct wh-interrogatives, and they express the questions they express, in the contexts in which they express them, by the same means that other wh-interrogatives do. These conclusions go against a trend in recent work on why-interrogatives, which holds that they are syntactically and (...)
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  • Philosophy of Syntax - Foundational Topics.Mieszko Talasiewicz - 2009 - Dordrecht, Holandia: Springer.
    Since 1970-ties in the theory of syntax of natural language quite a number of competing, incommensurable theoretic frameworks have emerged. Today the lack of a leading paradigm and kaleidoscope of perspectives deprives our general understanding of syntax and its relation to semantics and pragmatics. The present book is an attempt to reestablish the most fundamental ideas and intuitions of syntactic well-formedness within a new general account. The account is not supposed to compete with any of today’s syntactic frameworks, but to (...)
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  • The Semantics of Implicit Content.Dan Zeman - 2011 - Dissertation, University of Barcelona
    The main aim of the thesis is to give a semantic account of implicit content – the kind of content that plays a crucial role in implicit communication. Implicit communication is a species of communication in which a speaker communicates certain contents that go over and above the contents retrievable from the linguistic meaning of the words used. The focus of the thesis is a certain kind of implicit communication involving locations (when sentences such as “It is raining” are used (...)
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  • Logical Form: Between Logic and Natural Language.Andrea Iacona - 2018 - Cham, Switzerland: Springer Verlag.
    Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as (...)
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  • 'Now' with Subordinate Clauses.Sam Carter & Daniel Altshuler - 2017 - In Sam Carter & Daniel Altshuler (eds.), Proceedings of SALT 27. pp. 340-357.
    We investigate a novel use of the English temporal modifier ‘now’, in which it combines with a subordinate clause. We argue for a univocal treatment of the expression, on which the subordinating use is taken as basic and the non-subordinating uses are derived. We start by surveying central features of the latter uses which have been discussed in previous work, before introducing key observations regarding the subordinating use of ‘now’ and its relation to deictic and anaphoric uses. All of these (...)
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  • Building complex events: the case of Sicilian Doubly Inflected Construction.Fabio Del Prete & Giuseppina Todaro - 2020 - Natural Language and Linguistic Theory 38 (1):1-41.
    We examine the Doubly Inflected Construction of Sicilian (DIC; Cardinaletti and Giusti 2001, 2003, Cruschina 2013), in which a motion verb V1 from a restricted set is followed by an event verb V2 and both verbs are inflected for the same person and tense features. The interpretation of DIC involves a complex event which behaves as a single, integrated event by linguistic tests. Based on data drawn from different sources, we argue that DIC is an asymmetrical serial verb construction (Aikhenvald (...)
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  • Proceedings from SALT X.Brendan Jackson & Tanya Matthews (eds.) - 2000 - CLC Publications.
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  • Enciclopédia de Termos Lógico-Filosóficos.João Miguel Biscaia Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.
    Esta enciclopédia abrange, de uma forma introdutória mas desejavelmente rigorosa, uma diversidade de conceitos, temas, problemas, argumentos e teorias localizados numa área relativamente recente de estudos, os quais tem sido habitual qualificar como «estudos lógico-filosóficos». De uma forma apropriadamente genérica, e apesar de o território teórico abrangido ser extenso e de contornos por vezes difusos, podemos dizer que na área se investiga um conjunto de questões fundamentais acerca da natureza da linguagem, da mente, da cognição e do raciocínio humanos, bem (...)
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  • Partial Manifestations.Nick Kroll - 2016 - In Morphological, Syntactic and Semantic Aspects of Dispositions. pp. 85-91.
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  • The interplay between models and observations.Claudio Masolo, Alessander Botti Benevides & Daniele Porello - 2018 - Applied ontology 13 (1):41-71.
    We propose a formal framework to examine the relationship between models and observations. To make our analysis precise,models are reduced to first-order theories that represent both terminological knowledge – e.g., the laws that are supposed to regulate the domain under analysis and that allow for explanations, predictions, and simulations – and assertional knowledge – e.g., information about specific entities in the domain of interest. Observations are introduced into the domain of quantification of a distinct first-order theory that describes their nature (...)
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  • The generality problem for intellectualism.Joshua Habgood-Coote - 2018 - Mind and Language 33 (3):242-262.
    According to Intellectualism knowing how to V is a matter of knowing a suitable proposition about a way of V-ing. In this paper, I consider the question of which ways of acting might figure in the propositions which Intellectualists claim constitute the object of knowledge-how. I argue that Intellectualists face a version of the Generality Problem – familiar from discussions of Reliabilism – since not all ways of V-ing are such that knowledge about them suffices for knowledge-how. I consider various (...)
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  • Semantics with Assignment Variables.Alex Silk - 2021 - Cambridge: Cambridge University Press.
    This book combines insights from philosophy and linguistics to develop a novel framework for theorizing about linguistic meaning and the role of context in interpretation. A key innovation is to introduce explicit representations of context — assignment variables — in the syntax and semantics of natural language. The proposed theory systematizes a spectrum of “shifting” phenomena in which the context relevant for interpreting certain expressions depends on features of the linguistic environment. Central applications include local and nonlocal contextual dependencies with (...)
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  • The notional category of modality.Angelika Kratzer - 1981 - In Hans-Jürgen Eikmeyer & Hannes Rieser (eds.), Words, worlds, and contexts. De Gruyter. pp. 38–74.
    The adjectival passive construction that is traditionally called ‘Zustandspassiv’ (‘state passive’) in German seems to have the same syntactic and semantic properties as its English cousin, except that it is easier to identify. German state or adjectival passives select the auxiliary sein (‘be’), and are therefore clearly distinguished from verbal or ‘Vorgangs’- passives (‘process passives’), which use the auxiliary werden (‘get’, ‘become’). In spite of their appearance, German state passives do not form a homogenious class, however. There are two important (...)
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  • On a Priori Knowledge of Necessity.Juhani Yli-Vakkuri & Margot Strohminger - 2018
    The idea that the epistemology of modality is in some sense a priori is a popular one, but it has turned out to be difficult to precisify in a way that does not expose it to decisive counterexamples. The most common precisifications follow Kripke’s suggestion that cases of necessary a posteriori truth that can be known a priori to be necessary if true ‘may give a clue to a general characterization of a posteriori knowledge of necessary truths’. The idea is (...)
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  • Eventive versus stative causation: the case of German causal von -modifiers.Johanna Herdtfelder & Claudia Maienborn - 2017 - Linguistics and Philosophy 40 (3):279-320.
    Causation is generally conceived of as a relation that holds between events. Apart from a few cursory remarks, the case of stative causation has been widely neglected. The paper aims at contributing to a more balanced perspective by arguing for a stative variant of causation, on a par with eventive causation. The stative variant is analyzed in terms of Moltmann’s ontological notion of tropes. German causal von-modifiers are taken as a linguistic window into our understanding of causation. The study of (...)
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  • A Relational Theory of Moral Responsibility.Zsolt Ziegler - unknown
    This paper introduces a new theory of moral responsibility that does not rely on any concept of human control. Since an understanding of determinism shapes the possible set of views one can take regarding control, and there is no account of control that could be held simultaneously by both compatibilists and libertarians, the “relational theory of responsibility” is meant to create a common ground between compatibilism and libertarianism which are held to be mutually exclusive. Since the relational account of responsibility (...)
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  • The logical form of negative action sentences.Jonathan D. Payton - 2016 - Canadian Journal of Philosophy 46 (6):855-876.
    It is typically assumed that actions are events, but there is a growing consensus that negative actions, like omissions and refrainments, are not events, but absences thereof. If so, then we must either deny the obvious, that we can exercise our agency by omitting and refrainment, or give up on event-based theories of agency. I trace the consensus to the assumption that negative action sentences are negative-existentials, and argue that this is false. The best analysis of negative action sentences treats (...)
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  • Nominalizations: The Case of Nominalizations of Modal Predicates.Friederike Moltmann - 2020 - In Lisa Matthewson, Cécile Meier, Hotze Rullman & Thomas Ede Zimmermann (eds.), Blackwell Companion to Semantics. Wiley.
    Nominalizations of modal predicates have received little, if any, attention in the semantic or philosophical literature. This paper will argue that nominalizations of modal predicates require recognizing a novel ontological category of modal objects and it will outline a new semantics of modals based on modal objects.
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  • The Oxford Handbook of Causal Reasoning.Michael Waldmann (ed.) - 2017 - Oxford, England: Oxford University Press.
    Causal reasoning is one of our most central cognitive competencies, enabling us to adapt to our world. Causal knowledge allows us to predict future events, or diagnose the causes of observed facts. We plan actions and solve problems using knowledge about cause-effect relations. Without our ability to discover and empirically test causal theories, we would not have made progress in various empirical sciences. In the past decades, the important role of causal knowledge has been discovered in many areas of cognitive (...)
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  • An A-theory without tense operators.Meghan Sullivan - 2016 - Canadian Journal of Philosophy 46 (4-5):735-758.
    A-theorists think there is a fundamental difference between the present and other times. This concern shows up in what kinds of properties they take to be instantiated, what objects they think exist and how they formalize their views. Nearly every contemporary A-theorist assumes that her metaphysics requires a tense logic – a logic with operators like and. In this paper, I show that there is at least one viable A-theory that does not require a logic with tense operators. And I (...)
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  • (1 other version)Baseball, pessimistic inductions and the turnover fallacy.M. Lange - 2002 - Analysis 62 (4):281-285.
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  • Nominals and Event Structure.Friederike Moltmann - 2019 - In Robert Truswell (ed.), The Oxford Handbook of Event Structure.
    This paper discusses three approaches to the semantics of event nominalizations and adverbial modification: the Davidsonian account, the Kimian account, and the truthmaker account. It argues that a combination of all three accounts is needed for the semantics of the full range of event, trope, and state nominalizations in English.
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  • What is episodic memory if it is a natural kind?Sen Cheng & Markus Werning - 2016 - Synthese 193 (5):1345-1385.
    Colloquially, episodic memory is described as “the memory of personally experienced events”. Even though episodic memory has been studied in psychology and neuroscience for about six decades, there is still great uncertainty as to what episodic memory is. Here we ask how episodic memory should be characterized in order to be validated as a natural kind. We propose to conceive of episodic memory as a knowledge-like state that is identified with an experientially based mnemonic representation of an episode that allows (...)
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  • Predication as Ascription.David Liebesman - 2015 - Mind 124 (494):517-569.
    I articulate and defend a necessary and sufficient condition for predication. The condition is that a term or term-occurrence stands in the relation of ascription to its designatum, ascription being a fundamental semantic relation that differs from reference. This view has dramatically different semantic consequences from its alternatives. After outlining the alternatives, I draw out these consequences and show how they favour the ascription view. I then develop the view and elicit a number of its virtues.
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  • What are the primary bearers of truth?Peter Hanks - 2013 - Canadian Journal of Philosophy 43 (5):558-574.
    (2013). What are the primary bearers of truth? Canadian Journal of Philosophy: Vol. 43, Essays on the Nature of Propositions, pp. 558-574.
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  • The development of a schema for semantic annotation: gain brought by a formal ontological method.Ai Kawazoe, Lihua Jin, Mika Shigematsu, Daisuke Bekki, Roberto Barrero, Kiyosu Taniguchi & Nigel Collier - 2009 - Applied ontology 4 (1):5-20.
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  • Grammar, Ontology, and the Unity of Meaning.Ulrich Reichard - 2013 - Dissertation, University of Durham
    Words have meaning. Sentences also have meaning, but their meaning is different in kind from any collection of the meanings of the words they contain. I discuss two puzzles related to this difference. The first is how the meanings of the parts of a sentence combine to give rise to a unified sentential meaning, as opposed to a mere collection of disparate meanings (UP1). The second is why the formal ontology of linguistic meaning changes when grammatical structure is built up (...)
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  • Controverse sur la causalité mentale dans l’action.Candida De Sousa Melo - 2008 - Philosophiques 35 (2):345-367.
    Le problème métaphysique central en philosophie de l’esprit concerne la relation entre l’esprit et le corps des agents. Quand on tente d’expliquer, par exemple, le rapport entre les pensées et les actions humaines, on est alors immédiatement confronté avec la difficulté, apparemment insurmontable, d’expliquer la causalité mentale. On doit répondre à la question : nos états de pensée causent-ils effectivement ce que l’on fait? Bien sûr, nos croyances, nos intentions et nos désirs sont à la base de notre comportement, dira (...)
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  • Detaching if-clauses from should.Ana Arregui - 2010 - Natural Language Semantics 18 (3):241-293.
    This paper investigates some aspects of the semantics of deontic should-conditionals. The main objective is to understand which actual world facts make deontic statements true. The starting point for the investigation is a famous puzzle known as Chisholm’s Paradox. It is important because making sense of the data in Chisholm-style examples involves arriving at some conclusion regarding the interaction between what we consider ideal and what is actually true. I give an account of how facts affect the evaluation of should (...)
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  • Formal linking in Internally Headed Relatives.Min-Joo Kim - 2007 - Natural Language Semantics 15 (4):279-315.
    This paper aims to clarify and resolve issues surrounding the so-called formal linking problem in interpreting the Internally Headed Relative Clause construction in Korean and Japanese, a problem that has been identified in recent E-type pronominal treatments of the construction (e.g., Hoshi, K. (1995). Structural and interpretive aspects of head-internal and head-external relative clauses. PhD dissertation, University of Rochester; Shimoyama, J. (2001). Wh-constructions in Japanese. PhD dissertation, University of Massachusetts at Amherst). In the literature, this problem refers to the difficulty (...)
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  • Pluractionality in Chechen.Alan C. L. Yu - 2003 - Natural Language Semantics 11 (3):289-321.
    Pluractionality (PLR) is the morphological category that generally signifies multiple actions. This paper, based on original fieldwork, provides the first investigation of PLR in Chechen, a Nakh language spoken in the eastern central part of the North Caucasus. The data reflects the standard dialect of Chechen spoken in and near the cities of Murus-Martan and Grozny. Chechen PLR, which is marked by stem vowel alternations, prototypically signifies the repetition of an event (e.g., saca/sieca `to stop once/many times'; laaca/liica `to catch (...)
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  • On the Position and Interpretation of Locative Modifiers.Claudia Maienborn - 2001 - Natural Language Semantics 9 (2):191-240.
    This study offers syntactic and semantic evidence that there are three types of locative modifiers within the verbal domain that differ with respect to their syntactic base position and interpretation. Two of them are subject to semantic indeterminacy, thereby leading to multiple utterance meanings. The study aims at showing that the full range of interpretations can be derived within a rigid account of lexical and compositional semantics. Locative modifiers are invariably treated as first-order predicates adding a locative constraint. All semantic (...)
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  • Adverbial quantification over events.Susan Rothstein - 1995 - Natural Language Semantics 3 (1):1-31.
    This paper gives an analysis of the adverbial quantifiers exemplified in “I regretted it every time I had dinner with him.” Sentences of this kind display what I call a ‘matching effect’; they are true if every event in the denotation oftime I had dinner with him can be matched with an event regretting that dinner event. They are thus truth-conditionally equivalent to sentences of the form “There are at least as many As as Bs.” The difficulties of giving a (...)
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  • A Probabilistic Model of Semantic Plausibility in Sentence Processing.Ulrike Padó, Matthew W. Crocker & Frank Keller - 2009 - Cognitive Science 33 (5):794-838.
    Experimental research shows that human sentence processing uses information from different levels of linguistic analysis, for example, lexical and syntactic preferences as well as semantic plausibility. Existing computational models of human sentence processing, however, have focused primarily on lexico‐syntactic factors. Those models that do account for semantic plausibility effects lack a general model of human plausibility intuitions at the sentence level. Within a probabilistic framework, we propose a wide‐coverage model that both assigns thematic roles to verb–argument pairs and determines a (...)
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  • (1 other version)Spanish Imperfecto and Pretérito: Truth Conditions and Aktionsart Effects in a Situation Semantics. [REVIEW]Alicia Cipria & Craige Roberts - 2000 - Natural Language Semantics 8 (4):297-347.
    Spanish verbs display two past-tense forms, the pret´rito and the imperfecto. We offer an account of the semantics of these forms within a situation semantics, addressing a number of theoretically interesting questions about how to realize a semantics for tense and events in that type of framework. We argue that each of these forms is unambiguous, and that the apparent variety of readings attested for them derives from interaction with other factors in the course of interpretation. The meaning of the (...)
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  • A non-uniform semantic analysis of the Italian temporal connectives prima and dopo.Del Prete Fabio - 2008 - Natural Language Semantics 16 (2):157-203.
    In this paper, I argue that the temporal connective prima (‘before’) is a comparative adverb. The argument is based on a number of grammatical facts from Italian, showing that there is an asymmetry between prima and dopo (‘after’). On the ground of their divergent behaviour, I suggest that dopo has a different grammatical status from prima. I propose a semantic treatment for prima that is based on an independently motivated analysis of comparatives which can be traced back to Seuren (in: (...)
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  • How Involved do You Want to be in a Non-symmetric Relationship?Fraser MacBride - 2014 - Australasian Journal of Philosophy 92 (1):1-16.
    There are three different degrees to which we may allow a systematic theory of the world to embrace the idea of relatedness—supposing realism about non-symmetric relations as a background requirement. (First Degree) There are multiple ways in which a non-symmetric relation may apply to the things it relates—for the binary case, aRb ≠ bRa. (Second Degree) Every such relation has a distinct converse—for every R such that aRb there is another relation R* such that bR*a. (Third Degree) Each one of (...)
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