Results for 'negation'

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  1. Table Des matieres editorial preface 3.Jair Minoro Abe, Curry Algebras Pt, Paraconsistent Logic, Newton Ca da Costa, Otavio Bueno, Jacek Pasniczek, Beyond Consistent, Complete Possible Worlds, Vm Popov & Inverse Negation - 1998 - Logique Et Analyse 41:1.
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  2. Understanding the object.Property Structure in Terms of Negation: An Introduction to Hegelian Logic & Metaphysics in the Perception Chapter - 2019 - In Robert Brandom, A Spirit of Trust: A Reading of Hegel’s _phenomenology_. Cambridge, Massachusetts: Harvard University Press.
     
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  3.  1
    Negation in First Language Acquisition: Universal or Language‐Specific?Sakine Çabuk-Ballı, Jekaterina Mazara, Aylin C. Küntay, Birgit Hellwig, Barbara B. Pfeiler, Paul Widmer & Sabine Stoll - 2025 - Cognitive Science 49 (2):e70044.
    Negation is a cornerstone of human language and one of the few universals found in all languages. Without negation, neither categorization nor efficient communication would be possible. Languages, however, differ remarkably in how they express negation. It is yet widely unknown how the way negation is marked influences the acquisition process of first language learners. Here, we investigate whether universal or language-specific cues are more relevant for the acquisition process. We test to what extent frequency and (...)
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  4. Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
    We present and defend the Australian Plan semantics for negation. This is a comprehensive account, suitable for a variety of different logics. It is based on two ideas. The first is that negation is an exclusion-expressing device: we utter negations to express incompatibilities. The second is that, because incompatibility is modal, negation is a modal operator as well. It can, then, be modelled as a quantifier over points in frames, restricted by accessibility relations representing compatibilities and incompatibilities (...)
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  5.  42
    Privations, Negations and the Square: Basic Elements of a Logic of Privations.Stamatios Gerogiorgakis - 2012 - In Jean-Yves Béziau & Dale Jacquette, Around and Beyond the Square of Opposition. New York: Springer Verlag. pp. 229--239.
    I try to explain the difference between three kinds of negation: external negation, negation of the predicate and privation. Further I use polygons of opposition as heuristic devices to show that a logic which contains all three mentioned kinds of negation must be a fragment of a Łukasiewicz-four-valued predicate logic. I show, further, that, this analysis can be elaborated so as to comprise additional kinds of privation. This would increase the truth-values in question and bring fragments (...)
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  6.  26
    Negation and Free Choice Inference in Child Mandarin.Haiquan Huang, Peng Zhou & Stephen Crain - 2020 - Frontiers in Psychology 11.
    In sentences with internal negation, Free Choice Inferences (FCIs) are cancelled (Chierchia 2013). The present study investigated the possibility that FCIs are negated, not cancelled, by external negation. In previous research, both Mandarin-speaking children and adults were found to license FCIs in affirmative sentences with a modal verb and the disjunction word huozhe ‘or’ (Zhou, Romoli & Crain 2103). The present study contrasted internal versus external negation in sentences that contained all the ingredients needed to license FCIs. (...)
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  7.  49
    Negation in context.Michael De - 2011 - Dissertation, University of St Andrews
    The present essay includes six thematically connected papers on negation in the areas of the philosophy of logic, philosophical logic and metaphysics. Each of the chapters besides the first, which puts each the chapters to follow into context, highlights a central problem negation poses to a certain area of philosophy. Chapter 2 discusses the problem of logical revisionism and whether there is any room for genuine disagreement, and hence shared meaning, between the classicist and deviant's respective uses of (...)
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  8.  83
    Classical Negation and Expansions of Belnap–Dunn Logic.Michael De & Hitoshi Omori - 2015 - Studia Logica 103 (4):825-851.
    We investigate the notion of classical negation from a non-classical perspective. In particular, one aim is to determine what classical negation amounts to in a paracomplete and paraconsistent four-valued setting. We first give a general semantic characterization of classical negation and then consider an axiomatic expansion BD+ of four-valued Belnap–Dunn logic by classical negation. We show the expansion complete and maximal. Finally, we compare BD+ to some related systems found in the literature, specifically a four-valued modal (...)
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  9.  62
    Boolean negation and non-conservativity II: The variable-sharing property.Tore Fjetland Øgaard - 2021 - Logic Journal of the IGPL 29 (3):363-369.
    Many relevant logics are conservatively extended by Boolean negation. Not all, however. This paper shows an acute form of non-conservativeness, namely that the Boolean-free fragment of the Boolean extension of a relevant logic need not always satisfy the variable-sharing property. In fact, it is shown that such an extension can in fact yield classical logic. For a vast range of relevant logic, however, it is shown that the variable-sharing property, restricted to the Boolean-free fragment, still holds for the Boolean (...)
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  10. Negation, anti-realism, and the denial defence.Imogen Dickie - 2010 - Philosophical Studies 150 (2):161 - 185.
    Here is one argument against realism. (1) Realists are committed to the classical rules for negation. But (2) legitimate rules of inference must conserve evidence. And (3) the classical rules for negation do not conserve evidence. So (4) realism is wrong. Most realists reject 2. But it has recently been argued that if we allow denied sentences as premisses and conclusions in inferences we will be able to reject 3. And this new argument against 3 generates a new (...)
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  11.  67
    Boolean negation and non-conservativity I: Relevant modal logics.Tore Fjetland Øgaard - 2021 - Logic Journal of the IGPL 29 (3):340-362.
    Many relevant logics can be conservatively extended by Boolean negation. Mares showed, however, that E is a notable exception. Mares’ proof is by and large a rather involved model-theoretic one. This paper presents a much easier proof-theoretic proof which not only covers E but also generalizes so as to also cover relevant logics with a primitive modal operator added. It is shown that from even very weak relevant logics augmented by a weak K-ish modal operator, and up to the (...)
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  12. Empty Negations and Existential Import in Aristotle.Phil Corkum - 2018 - Apeiron 51 (2):201-219.
    Aristotle draws what are, by our lights, two unusual relationships between predication and existence. First, true universal affirmations carry existential import. If ‘All humans are mortal’ is true, for example, then at least one human exists. And secondly, although affirmations with empty terms in subject position are all false, empty negations are all true: if ‘Socrates’ lacks a referent, then both ‘Socrates is well’ and ‘Socrates is ill’ are false but both ‘Socrates is not well’ and ‘Socrates is not ill’ (...)
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  13.  66
    Négation, contrariété et contradiction.Jean-Philippe Narboux - 2005 - Archives de Philosophie 3 (3):419-446.
    L’auteur discerne trois intuitions majeures dans la théorie éliminativiste de la négation développée par les idéalistes anglais, d’après laquelle une négation est l’élimination d’une alternative au sein d’un ensemble complet d’alternatives disjonctivement affirmées du sujet de la négation : premièrement, la détermination du sens d’une proposition est l’assignation à une proposition de coordonnées logiques dans un espace logique ; deuxièmement, le sens d’une proposition entretient une relation interne avec le sens de sa négation ; troisièmement, l’espace logique dans lequel une (...)
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  14.  37
    Negation and BCK‐algebras.Francisco M. García Olmedo & Antonio J. Rodríguez Salas - 2003 - Mathematical Logic Quarterly 49 (4):336-346.
    In this paper we consider twelve classical laws of negation and study their relations in the context of BCK-algebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK-algebras with minimum. As a consequence we obtain a theorem relating those algebras to Boolean algebras.
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  15.  73
    Boolean negation and non-conservativity III: the Ackermann constant.Tore Fjetland Øgaard - 2021 - Logic Journal of the IGPL 29 (3):370-384.
    It is known that many relevant logics can be conservatively extended by the truth constant known as the Ackermann constant. It is also known that many relevant logics can be conservatively extended by Boolean negation. This essay, however, shows that a range of relevant logics with the Ackermann constant cannot be conservatively extended by a Boolean negation.
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  16. Constructive negation, implication, and co-implication.Heinrich Wansing - 2008 - Journal of Applied Non-Classical Logics 18 (2-3):341-364.
    In this paper, a family of paraconsistent propositional logics with constructive negation, constructive implication, and constructive co-implication is introduced. Although some fragments of these logics are known from the literature and although these logics emerge quite naturally, it seems that none of them has been considered so far. A relational possible worlds semantics as well as sound and complete display sequent calculi for the logics under consideration are presented.
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  17. Negation, expressivism, and intentionality.Alejandro Pérez Carballo - 2020 - Philosophical Quarterly 70 (279):246-267.
    Many think that expressivists have a special problem with negation. I disagree. For if there is a problem with negation, I argue, it is a problem shared by those who accept some plausible claims about the nature of intentionality. Whether there is any special problem for expressivists turns, I will argue, on whether facts about what truth-conditions beliefs have can explain facts about basic inferential relations among those beliefs. And I will suggest that the answer to this last (...)
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  18.  41
    Temporal Spaces of Egalitarianism: The Ethical Negation of Economic Inequality in an Ephemeral Religious Organization.Ateeq A. Rauf & Ajnesh Prasad - 2020 - Journal of Business Ethics 162 (3):699-718.
    In this article, we illuminate how a consumption practice in an ephemeral religious organization subverts systems of economic inequality that otherwise prevail in, and structure, society. Drawing on a rich ethnographic study in Pakistan, we show how the practice of food consumption in the Tablighi Jamaat —an Islamic organization originating in South Asia that is practiced intermittently by its followers—represents temporal spaces of egalitarianism. Within these temporal spaces, entrenched economic hierarchies that are salient in organizing Pakistani society are challenged. We (...)
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  19.  31
    Negation and Freedom.Thomas S. Knight - 1960 - Review of Metaphysics 13 (3):407 - 411.
    Within each of these negational ranges two general facets of negation may be distinguished for analysis. I shall call them "free" and "bound." Negation, however, is never completely free nor completely bound, so "free" and "bound" shall refer to negation in a relative sense.
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    Negation: a notion in focus.Heinrich Wansing (ed.) - 1996 - New York: W. de Gruyter.
    No detailed description available for "Negation".
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  21. The Principle of Four-Cornered Negation in Indian Philosophy.P. T. Raju - 1954 - Review of Metaphysics 7 (4):694 - 713.
    Those philosophers who gave a negative answer to all four questions were called "eel-wrigglers" by the Buddhists. It was impossible to fix their position either for approval or for rejection. They would criticize any view, positive or negative, but would not themselves hold any. And it was difficult for a serious person to enter into any controversy with them.
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  22.  34
    Negation and negative properties: reply to Richard Vallée.O. Chateaubriand - 2004 - Manuscrito 27 (1):235-242.
    I argue in §1 that there is a clear distinction between predicate negation and sentential negation and that sentential negation is a special case of predicate negation operating on the predicate ‘is true’. In §2 I reply to Richard’s objections to negative properties on the basis of the conception of properties as identity conditions presented in Chapter 12 of Logical Forms.
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  23. Ways to salvation : on Schopenhauer's theory of self-negation and salvation.Mathijs Peters - 2023 - In David Bather Woods & Timothy Stoll, The Schopenhauerian mind. New York, NY: Routledge.
     
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  24.  48
    Negating as turning upside down.Bartłomiej Skowron & Wiesław Kubiś - 2018 - Studies in Logic, Grammar and Rhetoric 54 (1):115-129.
    In order to understand negation as such, at least since Aristotle’s time, there have been many ways of conceptually modelling it. In particular, negation has been studied as inconsistency, contradictoriness, falsity, cancellation, an inversion of arrangements of truth values, etc. In this paper, making substantial use of category theory, we present three more conceptual and abstract models of negation. All of them capture negation as turning upside down the entire structure under consideration. The first proposal turns (...)
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  25.  37
    Negational Fragment of Intuitionistic Control Logic.Anna Glenszczyk - 2015 - Studia Logica 103 (6):1101-1121.
    We investigate properties of monadic purely negational fragment of Intuitionistic Control Logic ). This logic arises from Intuitionistic Propositional Logic ) by extending language of \ by additional new constant for falsum. Having two different falsum constants enables to define two forms of negation. We analyse implicational relations between negational monadic formulae and present a poset of non equivalent formulae of this fragment of \.
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  26.  15
    Negation: various insights.Adam Olszewski & Kazimierz Trzęsicki (eds.) - 2018 - Białystok: University of Białystok.
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  27. Metalinguistic negation and metaphysical affirmation.Mahrad Almotahari - 2014 - Philosophical Studies 167 (3):497-517.
    In a series of articles, Kit Fine presents some highly compelling objections to monism, the doctrine that spatially coincident objects are identical. His objections rely on Leibniz’s Law and linguistic environments that appear to be immune to the standard charge of non-transparency and substitution failure. In this paper, I respond to Fine’s objections on behalf of the monist. Following Benjamin Schnieder, I observe that arguments from Leibniz’s Law are valid only if they involve descriptive, rather than metalinguistic, negation. Then (...)
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  28. Minimal Negation in the Ternary Relational Semantics.Gemma Robles, José M. Méndez & Francisco Salto - 2005 - Reports on Mathematical Logic 39:47-65.
    Minimal Negation is defined within the basic positive relevance logic in the relational ternary semantics: B+. Thus, by defining a number of subminimal negations in the B+ context, principles of weak negation are shown to be isolable. Complete ternary semantics are offered for minimal negation in B+. Certain forms of reductio are conjectured to be undefinable (in ternary frames) without extending the positive logic. Complete semantics for such kinds of reductio in a properly extended positive logic are (...)
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  29.  89
    Negation And Contradiction.Richard Routley Val Routley, Richard Sylvan & Richard Routley - 1985 - Revista Columbiana de Mathematicas 19:201 - 231.
    The problems of the meaning and function of negation are disentangled from ontological issues with which they have been long entangled. The question of the function of negation is the crucial issue separating relevant and paraconsistent logics from classical theories. The function is illuminated by considering the inferential role of contradictions, contradiction being parasitic on negation. Three basic modelings emerge: a cancellation model, which leads towards connexivism, an explosion model, appropriate to classical and intuitionistic theories, and a (...)
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  30. Price and Rumfitt on rejective negation and classical logic.Peter Gibbard - 2002 - Mind 111 (442):297-304.
  31. Negation.Leó Apostel - 1973 - Leuven,: Nauwelaerts.
     
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  32.  30
    Negation.Heinrich Wansing - 2001 - In Lou Goble, The Blackwell Guide to Philosophical Logic. Malden, Mass.: Wiley-Blackwell. pp. 415–436.
    This chapter is concerned with logical aspects of negation, i.e. with the role of negation in valid inferences and hence with the contribution negation makes to the truth and falsity conditions of declarative expressions. Negation is an important philosophical and logical concept. Often differences between logical systems can ‐ at least partially ‐ be described as differences between the notions of negation used in these logics.
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  33.  46
    Themes in Neoplatonic and Aristotelian logic: order, negation, and abstraction.John N. Martin - 2004 - Burlington, VT: Ashgate.
    This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine.
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  34.  49
    Weak Negation in Inquisitive Semantics.Vít Punčochář - 2015 - Journal of Logic, Language and Information 24 (3):323-355.
    This paper introduces and explores a conservative extension of inquisitive logic. In particular, weak negation is added to the standard propositional language of inquisitive semantics, and it is shown that, although we lose some general semantic properties of the original framework, such an enrichment enables us to model some previously inexpressible speech acts such as weak denial and ‘might’-assertions. As a result, a new modal logic emerges. For this logic, a Fitch-style system of natural deduction is formulated. The main (...)
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  35. Empirical Negation.Michael De - 2013 - Acta Analytica 28 (1):49-69.
    An extension of intuitionism to empirical discourse, a project most seriously taken up by Dummett and Tennant, requires an empirical negation whose strength lies somewhere between classical negation (‘It is unwarranted that. . . ’) and intuitionistic negation (‘It is refutable that. . . ’). I put forward one plausible candidate that compares favorably to some others that have been propounded in the literature. A tableau calculus is presented and shown to be strongly complete.
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  36.  33
    XVI. A model for the negation of the axiom of choice.Kenneth Kunen - 1973 - In A. R. D. Mathias & Hartley Rogers, Cambridge Summer School in Mathematical Logic. New York,: Springer Verlag. pp. 489--494.
  37.  15
    Substructural Negations as Normal Modal Operators.Heinrich Wansing - 2024 - In Yale Weiss & Romina Birman, Saul Kripke on Modal Logic. Cham: Springer. pp. 365-388.
    A theory of substructural negations as impossibility and as unnecessity based on bi-intuitionistic logic, also known as Heyting-Brouwer logic, has been developed by Takuro Onishi. He notes two problems for that theory and offers the identification of the two negations as a solution to both problems. The first problem is the lack of a structural rule corresponding with double negation elimination for negation as impossibility, DNE, and the second problem is a lack of correspondence between certain sequents and (...)
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  38.  45
    Existence, Negation, and Abstraction in the Neoplatonic Hierarchy 1.John N. Martin - 1995 - History and Philosophy of Logic 16 (2):169-196.
    The paper is a study of the logic of existence, negation, and order in the Neoplatonic tradition. The central idea is that Neoplatonists assume a logic in which the existence predicate is a comparative adjective and in which monadic predicates function as scalar adjectives that nest the background order. Various scalar predicate negations are then identifiable with various Neoplatonic negations, including a privative negation appropriate for the lower orders of reality and a hyper-negation appropriate for the higher. (...)
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  39. Negation, Focus and Alternative Questions.Chung-Hye Han & Maribel Romero - unknown
    This paper presents the observation that negative non-wh-questions with inverted negation do not have an alternative (alt-)question reading. In English, a simple question like (1) has two possible readings: a yes-no (yn-)question reading, paraphrased in (1a), and an alt-question reading, disambiguated in (1b). Under the yn-question reading, the question can be answered as in (2); under the alt-question reading, acceptable answers are (3).
     
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  40.  84
    From Negation to Disjunction in a World of Simulacra: Deleuze and Melanie Klein.Nathan Widder - 2009 - Deleuze and Guatarri Studies 3 (2):207-230.
    This paper will articulate an underappreciated side of the psychoanalytical Deleuze: his relation to Melanie Klein, particularly as it appears in The Logic of Sense. Deleuze's engagement with Klein largely follows his familiar strategy of re-reading a thinker off of a twist in one or two of that thinker's key concepts. With Klein, this twist involves re-reading her story of psychic development on the basis of disjunction rather than negation, so that the psychic surface that emerges generates a persistent (...)
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  41.  12
    Constructive Negations and Paraconsistency.Sergei Odintsov - 2008 - Dordrecht, Netherland: Springer.
    Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic.
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  42. Common Ground Management: Modal Particles, Illocutionary Negation and Verum.Sophie Repp - 2013 - In Daniel Gutzmann & Hans-Martin Gärtner, Beyond Expressives: Explorations in Use-Conditional Meaning. Boston: Brill.
     
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  43. Negation in logic and in natural language.Jaakko Hintikka - 2002 - Linguistics and Philosophy 25 (5-6):585-600.
    In game-theoretical semantics, perfectlyclassical rules yield a strong negation thatviolates tertium non datur when informationalindependence is allowed. Contradictorynegation can be introduced only by a metalogicalstipulation, not by game rules. Accordingly, it mayoccur (without further stipulations) onlysentence-initially. The resulting logic (extendedindependence-friendly logic) explains several regularitiesin natural languages, e.g., why contradictory negation is abarrier to anaphase. In natural language, contradictory negationsometimes occurs nevertheless witin the scope of aquantifier. Such sentences require a secondary interpretationresembling the so-called substitutionalinterpretation of quantifiers.This interpretation is (...)
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  44. A Natural History of Negation.Laurence R. Horn - 1989 - University of Chicago Press.
    This book offers a unique synthesis of past and current work on the structure, meaning, and use of negation and negative expressions, a topic that has engaged thinkers from Aristotle and the Buddha to Freud and Chomsky. Horn's masterful study melds a review of scholarship in philosophy, psychology, and linguistics with original research, providing a full picture of negation in natural language and thought; this new edition adds a comprehensive preface and bibliography, surveying research since the book's original (...)
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  45.  33
    Deconstructing a verbal illusion: The 'No X is too Y to Z' construction and the rhetoric of negation.Egbert Fortuin - 2014 - Cognitive Linguistics 25 (2):249-292.
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  46. Metalinguistic negation and echoic use.Robyn Carston - unknown
    What I hope to achieve in this paper is some rather deeper understanding of the semantic and pragmatic properties of utterances which are said to involve the phenomenon of metalinguistic negation[FN1]. According to Laurence Horn, who has been primarily responsible for drawing our attention to it, this is a special non-truthfunctional use of the negation operator, which can be glossed as 'I object to U' where U is a linguistic utterance. This is to be distinguished from descriptive truthfunctional (...)
     
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  47. Resumptive Negation as Assertion Revision.J. Katz - unknown
    Jespersen (1860-1934:73-75) described what he called resumptive negation: “A second class [of emphatic negation] comprises what may be termed resumptive negation, the characteristic of which is that after a negative sentence has been completed, something is added in a negative form with the obvious result that the negative result is heightened. . . . In its pure form, the supplementary negative is added outside the frame of the first sentence, generally as a afterthought, as in ‘I shall (...)
     
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  48. Negation and negative concord in romance.Ivan A. Sag & Henriëtte De Swart - 2002 - Linguistics and Philosophy 25 (4):373-417.
    This paper addresses the two interpretations that a combination ofnegative indefinites can get in concord languages like French:a concord reading, which amounts to a single negation, and a doublenegation reading. We develop an analysis within a polyadic framework,where a sequence of negative indefinites can be interpreted as aniteration of quantifiers or via resumption. The first option leadsto a scopal relation, interpreted as double negation. The secondoption leads to the construction of a polyadic negative quantifiercorresponding to the concord reading. (...)
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  49.  45
    Constructive predicate logic with strong negation and model theory.Seiki Akama - 1987 - Notre Dame Journal of Formal Logic 29 (1):18-27.
  50. A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
    I propose a comprehensive account of negation as a modal operator, vindicating a moderate logical pluralism. Negation is taken as a quantifier on worlds, restricted by an accessibility relation encoding the basic concept of compatibility. This latter captures the core meaning of the operator. While some candidate negations are then ruled out as violating plausible constraints on compatibility, different specifications of the notion of world support different logical conducts for negations. The approach unifies in a philosophically motivated picture (...)
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