Results for 'Negation'

318 found
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  1. 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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  2. Moral Expressivism and Sentential Negation.Neil Sinclair - 2011 - Philosophical Studies 152 (3):385-411.
    This paper advances three necessary conditions on a successful account of sentential negation. First, the ability to explain the constancy of sentential meaning across negated and unnegated contexts (the Fregean Condition). Second, the ability to explain why sentences and their negations are inconsistent, and inconsistent in virtue of the meaning of negation (the Semantic Condition). Third, the ability of the account to generalize regardless of the topic of the negated sentence (the Generality Condition). The paper discusses three accounts (...)
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  3. 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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  4. Inferential Expressivism and the Negation Problem.Luca Incurvati & Julian J. Schlöder - forthcoming - Oxford Studies in Metaethics 16.
    We develop a novel solution to the negation version of the Frege-Geach problem by taking up recent insights from the bilateral programme in logic. Bilateralists derive the meaning of negation from a primitive *B-type* inconsistency involving the attitudes of assent and dissent. Some may demand an explanation of this inconsistency in simpler terms, but we argue that bilateralism’s assumptions are no less explanatory than those of *A-type* semantics that only require a single primitive attitude, but must stipulate inconsistency (...)
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  5. Cancellation, Negation, and Rejection.Niels Skovgaard-Olsen, Peter Collins, Karolina Krzyżanowska, Ulrike Hahn & Karl Christoph Klauer - 2019 - Cognitive Psychology 108:42-71.
    In this paper, new evidence is presented for the assumption that the reason-relation reading of indicative conditionals ('if A, then C') reflects a conventional implicature. In four experiments, it is investigated whether relevance effects found for the probability assessment of indicative conditionals (Skovgaard-Olsen, Singmann, and Klauer, 2016a) can be classified as being produced by a) a conversational implicature, b) a (probabilistic) presupposition failure, or c) a conventional implicature. After considering several alternative hypotheses and the accumulating evidence from other studies as (...)
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  6. 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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  7. Why the Negation Problem Is Not a Problem for Expressivism.Jeremy Schwartz & Christopher Hom - 2014 - Noûs 48 (2):824-845.
    The Negation Problem states that expressivism has insufficient structure to account for the various ways in which a moral sentence can be negated. We argue that the Negation Problem does not arise for expressivist accounts of all normative language but arises only for the specific examples on which expressivists usually focus. In support of this claim, we argue for the following three theses: 1) a problem that is structurally identical to the Negation Problem arises in non-normative cases, (...)
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  8. Spinoza on Negation, Mind-Dependence and the Reality of the Finite.Karolina Hübner - 2015 - In Yitzhak Melamed (ed.), The Young Spinoza: A Metaphysician in the Making. pp. 221-37.
    The article explores the idea that according to Spinoza finite thought and substantial thought represent reality in different ways. It challenges “acosmic” readings of Spinoza's metaphysics, put forth by readers like Hegel, according to which only an infinite, undifferentiated substance genuinely exists, and all representations of finite things are illusory. Such representations essentially involve negation with respect to a more general kind. The article shows that several common responses to the charge of acosmism fail. It then argues that we (...)
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  9. Non-Descriptive Negation for Normative Sentences.Andrew Alwood - 2016 - Philosophical Quarterly 66 (262):1-25.
    Frege-Geach worries about embedding and composition have plagued metaethical theories like emotivism, prescriptivism and expressivism. The sharpened point of such criticism has come to focus on whether negation and inconsistency have to be understood in descriptivist terms. Because they reject descriptivism, these theories must offer a non-standard account of the meanings of ethical and normative sentences as well as related semantic facts, such as why certain sentences are inconsistent with each other. This paper fills out such a solution to (...)
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  10.  19
    Minimal Negation in the Ternary Relational Semantics.G. Robles, J. Mendez & F. Salto - 2005 - Reports on Mathematical Logic: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 without extending the positive logic. Complete semantics for such kinds of reductio in a properly extended positive logic are offered.
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  11. Conjunction Meets Negation: A Study in Cross‐Linguistic Variation.Anna Szabolcsi & Bill Haddican - 2004 - Journal of Semantics 21 (3):219-249.
    The central topic of this inquiry is a cross-linguistic contrast in the interaction of conjunction and negation. In Hungarian (Russian, Serbian, Italian, Japanese), in contrast to English (German), negated definite conjunctions are naturally and exclusively interpreted as `neither’. It is proposed that Hungarian-type languages conjunctions simply replicate the behavior of plurals, their closest semantic relatives. More puzzling is why English-type languages present a different range of interpretations. By teasing out finer distinctions in focus on connectives, syntactic structure, and context, (...)
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  12. What is Wrong with Classical Negation?Nils Kürbis - 2015 - Grazer Philosophische Studien 92 (1):51-86.
    The focus of this paper are Dummett's meaning-theoretical arguments against classical logic based on consideration about the meaning of negation. Using Dummettian principles, I shall outline three such arguments, of increasing strength, and show that they are unsuccessful by giving responses to each argument on behalf of the classical logician. What is crucial is that in responding to these arguments a classicist need not challenge any of the basic assumptions of Dummett's outlook on the theory of meaning. In particular, (...)
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  13. A General Semantics for Logics of Affirmation and Negation.Fabien Schang - 2021 - Journal of Applied Logics - IfCoLoG Journal of Logics and Their Applications 8 (2):593-609.
    A general framework for translating various logical systems is presented, including a set of partial unary operators of affirmation and negation. Despite its usual reading, affirmation is not redundant in any domain of values and whenever it does not behave like a full mapping. After depicting the process of partial functions, a number of logics are translated through a variety of affirmations and a unique pair of negations. This relies upon two preconditions: a deconstruction of truth-values as ordered and (...)
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  14. “Omnis Determinatio Est Negatio” – Determination, Negation and Self-Negation in Spinoza, Kant, and Hegel.Yitzhak Y. Melamed - 2012 - In Eckart Forster & Yitzhak Y. Melamed (eds.), Spinoza and German Idealism. Cambridge University Press.
    Spinoza ’s letter of June 2, 1674 to his friend Jarig Jelles addresses several distinct and important issues in Spinoza ’s philosophy. It explains briefly the core of Spinoza ’s disagreement with Hobbes’ political theory, develops his innovative understanding of numbers, and elaborates on Spinoza ’s refusal to describe God as one or single. Then, toward the end of the letter, Spinoza writes: With regard to the statement that figure is a negation and not anything positive, it is obvious (...)
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  15. Loose Talk, Negation and Commutativity: A Hybrid Static - Dynamic Theory.Sam Carter - 2017 - Sinn Und Bedeutung: 21.
    This paper investigates the interaction of phenomena associated with loose talk with embedded contexts. §1. introduces core features associated with the loose interpretation of an utterance and presents a sketch of how to theorise about such utterances in terms of a relation of ‘pragmatic equivalence’. §2. discusses further features of loose talk arising from interaction with ‘loose talk regulators’, negation and conjunction. §§3-4. introduce a hybrid static/dynamic framework and show how it can be employed in developing a fragment which (...)
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  16. Recapture, Transparency, Negation and a Logic for the Catuskoti.Adrian Kreutz - 2019 - Comparative Philosophy 10 (1):67-92.
    The recent literature on Nāgārjuna’s catuṣkoṭi centres around Jay Garfield’s (2009) and Graham Priest’s (2010) interpretation. It is an open discussion to what extent their interpretation is an adequate model of the logic for the catuskoti, and the Mūla-madhyamaka-kārikā. Priest and Garfield try to make sense of the contradictions within the catuskoti by appeal to a series of lattices – orderings of truth-values, supposed to model the path to enlightenment. They use Anderson & Belnaps's (1975) framework of First Degree Entailment. (...)
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  17. Rumfitt on Truth-Grounds, Negation, and Vagueness.Richard Zach - 2018 - Philosophical Studies 175 (8):2079-2089.
    In The Boundary Stones of Thought, Rumfitt defends classical logic against challenges from intuitionistic mathematics and vagueness, using a semantics of pre-topologies on possibilities, and a topological semantics on predicates, respectively. These semantics are suggestive but the characterizations of negation face difficulties that may undermine their usefulness in Rumfitt’s project.
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  18. Does Communicative Retributivism Necessarily Negate Capital Punishment?Jimmy Chia-Shin Hsu - 2015 - Criminal Law and Philosophy 9 (4):603-617.
    Does communicative retributivism necessarily negate capital punishment? My answer is no. I argue that there is a place, though a very limited and unsettled one, for capital punishment within the theoretical vision of communicative retributivism. The death penalty, when reserved for extravagantly evil murderers for the most heinous crimes, is justifiable by communicative retributive ideals. I argue that punishment as censure is a response to the preceding message sent by the offender through his criminal act. The gravity of punishment should (...)
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  19. Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality.Nils Kürbis - 2015 - Journal of Philosophical Logic 44 (6):713-727.
    This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings (...)
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  20. The Craig Interpolation Theorem for Prepositional Logics with Strong Negation.Valentin Goranko - 1985 - Studia Logica 44 (3):291 - 317.
    This paper deals with, prepositional calculi with strong negation (N-logics) in which the Craig interpolation theorem holds. N-logics are defined to be axiomatic strengthenings of the intuitionistic calculus enriched with a unary connective called strong negation. There exists continuum of N-logics, but the Craig interpolation theorem holds only in 14 of them.
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  21.  36
    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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  22. A Primitive Solution to the Negation Problem.Derek Shiller - 2016 - Ethical Theory and Moral Practice 19 (3):725-740.
    It has recently been alleged that expressivism cannot account for the obvious fact that normative sentences and their negations express inconsistent kinds of attitudes. I explain how the expressivist can respond to this objection. I offer an account of attitudinal inconsistency that takes it to be a combination of descriptive and normative relations. The account I offer to explain these relations relies on a combination of functionalism about normative judgments and expressivism about the norms governing them. It holds that the (...)
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  23. Quantification, Negation, and Focus: Challenges at the Conceptual-Intentional Semantic Interface.Tista Bagchi - manuscript
    Quantification, Negation, and Focus: Challenges at the Conceptual-Intentional Semantic Interface Tista Bagchi National Institute of Science, Technology, and Development Studies (NISTADS) and the University of Delhi Since the proposal of Logical Form (LF) was put forward by Robert May in his 1977 MIT doctoral dissertation and was subsequently adopted into the overall architecture of language as conceived under Government-Binding Theory (Chomsky 1981), there has been a steady research effort to determine the nature of LF in language in light of (...)
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  24.  48
    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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  25. Depicting Negation in Diagrammatic Logic: Legacy and Prospects.Fabien Schang & Amirouche Moktefi - 2008 - Diagrammatic Representation and Inference: Proceedings of the 5th International Conference Diagrams 2008 5223:236-241.
    Here are considered the conditions under which the method of diagrams is liable to include non-classical logics, among which the spatial representation of non-bivalent negation. This will be done with two intended purposes, namely: a review of the main concepts involved in the definition of logical negation; an explanation of the epistemological obstacles against the introduction of non-classical negations within diagrammatic logic.
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  26.  22
    Anderson And Belnap's Minimal Positive Logic With Minimal Negation.J. Mendez, F. Salto & G. Robles - 2002 - Reports on Mathematical Logic 36:117-130.
    Our question is: can we embed minimal negation in implicative logics weaker than I→? Previous results show how to define minimal negation in the positive fragment of the logic of relevance R and in contractionless intuitionistic logic. Is it possible to endow weaker positive logics with minimal negation? This paper prooves that minimal negation can be embedded in even such a weak system as Anderson and Belnap’s minimal positive logic.
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  27.  46
    Negation and Dichotomy.Fabien Schang (ed.) - 2009 - Bydgoszcz: Kazimierz Wielki University Press.
    The present contribution might be regarded as a kind of defense of the common sense in logic. It is demonstrated that if the classical negation is interpreted as the minimal negation with n = 2 truth values, then deviant logics can be conceived as extension of the classical bivalent frame. Such classical apprehension of negation is possible in non- classical logics as well, if truth value is internalized and bivalence is replaced by bipartition.
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  28. 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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  29. Bilateralism: Negations, Implications and Some Observations and Problems About Hypotheses.Nils Kürbis - 2017 - In Thomas Piecha & Jean Fichot (eds.), Beyond Logic. Proceedings of the Conference held in Cerisy-la-Salle, 22-27 May 2017. Tübingen, Germany:
    This short paper has two loosely connected parts. In the first part, I discuss the difference between classical and intuitionist logic in relation to different the role of hypotheses play in each logic. Harmony is normally understood as a relation between two ways of manipulating formulas in systems of natural deduction: their introduction and elimination. I argue, however, that there is at least a third way of manipulating formulas, namely the discharge of assumption, and that the difference between classical and (...)
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  30. Denial of Responsibility and Normative Negation.Federico Faroldi - 2014 - In Cariani (ed.), Deontic Logic and Normative Systems. Springer.
    In this paper I provide some linguistic evidence to the thesis that responsibility judgments are normative. I present an argument from negation, since the negation of descrip- tive judgments is structurally different from the negation of normative judgments. In particular, the negation of responsibility judgments seem to conform to the pattern of the negation of normative judgments, thus being a prima facie evidence for the normativity of responsibility judgments. I assume — for the argument’s sake (...)
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  31.  80
    A Natural Negation Completion of Urquhart's Many-Valued Logic C.José M. Mendez & Francisco Salto - 1998 - Journal of Philosophical Logic 27 (1):75-84.
    Etude de l'extension par la negation semi-intuitionniste de la logique positive des propositions appelee logique C, developpee par A. Urquhart afin de definir une semantique relationnelle valable pour la logique des valeurs infinies de Lukasiewicz (Lw). Evitant les axiomes de contraction et de reduction propres a la logique classique de Dummett, l'A. propose une semantique de type Routley-Meyer pour le systeme d'Urquhart (CI) en tant que celle-la ne fournit que des theories consistantes pour la completude de celui-ci.
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  32. An Early Modern Scholastic Theory of Negative Entities: Thomas Compton Carleton on Lacks, Negations, and Privations.Brian Embry - 2015 - British Journal for the History of Philosophy 23 (1):22-45.
    Seventeenth century scholastics had a rich debate about the ontological status and nature of lacks, negations, and privations. Realists in this debate posit irreducible negative entities responsible for the non-existence of positive entities. One of the first scholastics to develop a realist position on negative entities was Thomas Compton Carleton. In this paper I explain Carleton's theory of negative entities, including what it is for something to be negative, how negative entities are individuated, whether they are abstract or concrete, and (...)
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  33. The Navya-Nyāya Doctrine of Negation: The Semantics and Ontology of Negative Statements in Navya-Nyāya Philosophy.Irving M. Copi - 1972 - Philosophy East and West 22 (2):221-226.
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  34. ‘Tarrying with the Negative’: Bataille and Derrida’s Reading of Negation in Hegel’s Phenomenology.Raphael Foshay - 2002 - Heythrop Journal 43 (3):295–310.
    Central to Bataille’s critique of Hegel is his reading in ‘Hegel, Death, and Sacrifice’ of ‘negation’ and of ‘lordship and bondage’ in the Phenomenology of Spirit. Whereas Hegel invokes negation as inclusive of death, Bataille points out that negation in the dynamic of lordship and bondage must of necessity be representational rather than actual. Derrida, in ‘From Restricted to General Economy’ sees in Bataille’s perspective an undercutting of the overall Hegelian project consonant with his own ongoing deconstruction (...)
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  35. Categoricity and Negation. A Note on Kripke’s Affirmativism.Constantin C. Brîncuș & Iulian D. Toader - 2019 - In The Logica Yearbook 2018. London: College Publications. pp. 57-66.
    We argue that, if taken seriously, Kripke's view that a language for science can dispense with a negation operator is to be rejected. Part of the argument is a proof that positive logic, i.e., classical propositional logic without negation, is not categorical.
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  36.  46
    Choice, Infinity, and Negation: Both Set-Theory and Quantum-Information Viewpoints to Negation.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal 12 (14):1-3.
    The concepts of choice, negation, and infinity are considered jointly. The link is the quantity of information interpreted as the quantity of choices measured in units of elementary choice: a bit is an elementary choice between two equally probable alternatives. “Negation” supposes a choice between it and confirmation. Thus quantity of information can be also interpreted as quantity of negations. The disjunctive choice between confirmation and negation as to infinity can be chosen or not in turn: This (...)
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  37. Ethical Copula, Negation, and Responsibility Judgments: Prior’s Contribution to the Philosophy of Normative Language.Federico Faroldi - 2016 - Synthese 193 (11):3441-3448.
    Prior’s arguments for and against seeing ‘ought’ as a copula and his considerations about normative negation are applied to the case of responsibility judgments. My thesis will be that responsibility judgments, even though often expressed by using the verb ‘to be’, are in fact normative judgments. This is shown by analyzing their negation, which parallels the behavior of ought negation.
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  38. Schopenhauer on Suicide and Negation of the Will.Michal Masny - 2020 - British Journal for the History of Philosophy 29 (3):494-516.
    ABSTRACT Schopenhauer's argument against suicide has served as a punching bag for many modern-day commentators. Dale Jacquette, Sandra Shapshay, and David Hamlyn all argue that the premises of this argument or its conclusion are inconsistent with Schopenhauer's wider metaphysical and ethical project. This paper defends Schopenhauer from these charges. Along the way, it examines the relations between suicide, death by voluntary starvation, negation of the will, compassion, and Schopenhauer's critiques of cynicism and stoicism. The paper concludes that there may (...)
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  39. Compositionality and Complexity in Multiple Negation.Francis Corblin - 1995 - Logic Journal of the IGPL 3 (2-3):449-471.
    This paper considers negative triggers and the interpretation of simple sentences containing more than one occurrence of those items . In the most typical interpretations those sentences have more negative expressions than negations in their semantic representation. It is first shown that this compositionality problem remains in current approaches. A principled algorithm for deriving the representation of sentences with multiple negative quantifiers in a DRT framework is then introduced. The algorithm is under the control of an on-line check-in, keeping the (...)
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  40.  35
    A Peculiar and Perpetual Tendency: An Asymmetry in Knowledge Attributions for Affirmations and Negations.John Turri - forthcoming - Erkenntnis:1-14.
    From antiquity through the twentieth century, philosophers have hypothesized that, intuitively, it is harder to know negations than to know affirmations. This paper provides direct evidence for that hypothesis. In a series of studies, I found that people naturally view negations as harder to know than affirmations. Participants read simple scenarios and made judgments about truth, probability, belief, and knowledge. Participants were more likely to attribute knowledge of an outcome when framed affirmatively than when framed negatively. Participants did this even (...)
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  41.  44
    The Entrainment of Negation: A Possible Prologue for Interpreting Quantum Mechanics Through Light.Timothy M. Rogers - manuscript
    An exploration of the hypothesis that quantum mechanics is the interpretative framework of relativity theory.
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  42. Truth and The Ambiguity of Negation.Teresa Marques - 2010 - In Erich Rast & Luiz Carlos Baptista (eds.), Meaning and Context. Peter Lang. pp. 2--235.
    This article has one aim, to reject the claim that negation is semantically ambiguous. The first section presents the putative incompatibility between truth-value gaps and the truth-schema; the second section presents the motivation for the ambiguity thesis; the third section summarizes arguments against the claim that natural language negation is semantically ambiguous; and the fourth section indicates the problems of an introduction of two distinct negation operators in natural language.
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  43. Sartre's Postcartesian Ontology: On Negation and Existence.William Melaney - 2009 - Analecta Husserlia 104:37-54.
    This article maintains that Jean-Paul Sartre’s early masterwork, Being and Nothingness, is primarily concerned with developing an original approach to the being of consciousness. Sartre’s ontology resituates the Cartesian cogito in a complete system that provides a new understanding of negation and a dynamic interpretation of human existence. The article examines the role of consciousness, temporality and the relationship between self and others in the light of Sartre’s arguments against “classical” rationalism. The conclusion suggests that Sartre’s departure from modern (...)
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  44. Views and Formulations Within Eastern Philosophy That Negate Personalism and Humanism.Rudolph Bauer - 2013 - Transmission 6.
    This paper focuses on the views and formulations of eastern philosophy the negate humanism and personalism.
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  45.  69
    Book Review: Carnielli, W., Coniglio, M. Paraconsistent Logic: Consistency, Contradiction and Negation. Logic, Epistemology, and the Unity of Science Series. [REVIEW]Henrique Antunes & Vincenzo Ciccarelli - 2018 - Manuscrito 41 (2):111-122.
    Review of the book "Paraconsistent Logic: Consistency, Contradiction, and Negation by Water Carnielli and Marcelo Coniglio.
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  46. Review of Henry Somers-Hall. Hegel, Deleuze, and the Critique of Representation: Dialectics of Negation and Difference. [REVIEW]Martijn Boven - 2012 - Review of Metaphysics 66 (2):384-386.
    In this rich and impressive new book, Henry Somers- Hall gives a nuanced analysis of the philosophical relationship between G. W. F. Hegel and Gilles Deleuze. He convincingly shows that a serious study of Hegel provides an improved insight into Deleuze’s conception of pure difference as the transcendental condition of identity. Somers- Hall develops his argument in three steps. First, both Hegel and Deleuze formulate a critique of representation. Second, Hegel’s proposed alternative is as logically consistent as Deleuze’s. Third, Deleuze (...)
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  47. Embedding Denial.David Ripley - 2015 - In Colin Caret & Ole Hjortland (eds.), Foundations of Logical Consequence. Oxford University Press. pp. 289-309.
    Suppose Alice asserts p, and the Caterpillar wants to disagree. If the Caterpillar accepts classical logic, he has an easy way to indicate this disagreement: he can simply assert ¬p. Sometimes, though, things are not so easy. For example, suppose the Cheshire Cat is a paracompletist who thinks that p ∨ ¬p fails (in familiar (if possibly misleading) language, the Cheshire Cat thinks p is a gap). Then he surely disagrees with Alice's assertion of p, but should himself be unwilling (...)
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  48. Some Comments on Ian Rumfitt’s Bilateralism.Nils Kürbis - 2016 - Journal of Philosophical Logic 45 (6):623-644.
    Ian Rumfitt has proposed systems of bilateral logic for primitive speech acts of assertion and denial, with the purpose of ‘exploring the possibility of specifying the classically intended senses for the connectives in terms of their deductive use’ : 810f). Rumfitt formalises two systems of bilateral logic and gives two arguments for their classical nature. I assess both arguments and conclude that only one system satisfies the meaning-theoretical requirements Rumfitt imposes in his arguments. I then formalise an intuitionist system of (...)
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  49. Strict and Non-Strict Negative Concord in Hungarian: A Unified Analysis.Anna Szabolcsi - 2018 - In Huba Bartos, Bánréti, M. Den Dikken & Váradi (eds.), Boundaries Crossed. Dordrecht: Springer.
    Surányi (2006) observed that Hungarian has a hybrid (strict + non-strict) negative concord system. This paper proposes a uniform analysis of that system within the general framework of Zeijlstra (2004, 2008) and, especially, Chierchia (2013), with the following new ingredients. Sentential negation NEM is the same full negation in the presence of both strict and non-strict concord items. Preverbal SENKI `n-one’ type negative concord items occupy the specifier position of either NEM `not' or SEM `nor'. The latter, SEM (...)
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  50.  96
    Oppositions and Opposites.Fabien Schang - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Bâle, Suisse: Birkhäuser. pp. 147--173.
    A formal theory of oppositions and opposites is proposed on the basis of a non- Fregean semantics, where opposites are negation-forming operators that shed some new light on the connection between opposition and negation. The paper proceeds as follows. After recalling the historical background, oppositions and opposites are compared from a mathematical perspective: the first occurs as a relation, the second as a function. Then the main point of the paper appears with a calculus of oppositions, by means (...)
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