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  1. Yitzhak Y. Melamed (2012). “Omnis Determinatio Est Negatio” – Determination, Negation and Self-Negation in Spinoza, Kant, and Hegel. In Eckart Forster & Yitzhak Y. Melamed (eds.), Spinoza and German Idealism. Cambridge University Press.score: 24.0
    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 that matter in its (...)
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  2. Neil Sinclair (2011). Moral Expressivism and Sentential Negation. Philosophical Studies 152 (3):385-411.score: 24.0
    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. Nicholas Unwin (1999). Quasi-Realism, Negation and the Frege-Geach Problem. Philosophical Quarterly 50 (196):337-352.score: 24.0
    Expressivists, such as Blackburn, analyse sentences such as 'S thinks that it ought to be the case that p' as S hoorays that p'. A problem is that the former sentence can be negated in three different ways, but the latter in only two. The distinction between refusing to accept a moral judgement and accepting its negation therefore cannot be accounted for. This is shown to undermine Blackburn's solution to the Frege-Geach problem.
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  4. Imogen Dickie (2010). Negation, Anti-Realism, and the Denial Defence. Philosophical Studies 150 (2):161 - 185.score: 24.0
    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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  5. Nicholas Unwin (2001). Norms and Negation: A Problem for Gibbard's Logic. Philosophical Quarterly 51 (202):60-75.score: 24.0
    A difficulty is exposed in Allan Gibbard's solution to the embedding/Frege-Geach problem, namely that the difference between refusing to accept a normative judgement and accepting its negation is ignored. This is shown to undermine the whole solution.
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  6. Nils Kürbis (forthcoming). Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality. Journal of Philosophical Logic:1-15.score: 24.0
    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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  7. Lloyd Humberstone (2008). Contrariety and Subcontrariety: The Anatomy of Negation (with Special Reference to an Example of J.-Y. Béziau). Theoria 71 (3):241-262.score: 24.0
    We discuss aspects of the logic of negation bearing on an issue raised by Jean-Yves Béziau, recalled in §1. Contrary- and subcontrary-forming operators are introduced in §2, which examines some of their logical behaviour, leading on naturally to a consideration in §3 of dual intuitionistic negation (as well as implication), and some further operators related to intuitionistic negation. In §4, a historical explanation is suggested as to why some of these negation-related connectives have attracted more attention (...)
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  8. Lloyd Humberstone (2000). The Revival of Rejective Negation. Journal of Philosophical Logic 29 (4):331-381.score: 24.0
    Whether assent ("acceptance") and dissent ("rejection") are thought of as speech acts or as propositional attitudes, the leading idea of rejectivism is that a grasp of the distinction between them is prior to our understanding of negation as a sentence operator, this operator then being explicable as applying to A to yield something assent to which is tantamount to dissent from A. Widely thought to have been refuted by an argument of Frege's, rejectivism has undergone something of a revival (...)
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  9. Mahrad Almotahari (2014). Metalinguistic Negation and Metaphysical Affirmation. Philosophical Studies 167 (3):497-517.score: 24.0
    In a series of articles, Fine (Monist 83:357–361, 2000; Mind 112:195–234, 2003; Mind 115:1059–1082, 2006) 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 Schnieder (Philosophical Quarterly 56:39–54, 2006), I observe that arguments from Leibniz’s Law are valid (...)
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  10. Jeremy Schwartz & Christopher Hom (2014). Why the Negation Problem Is Not a Problem for Expressivism. Noûs 48 (2).score: 24.0
    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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  11. Michael de (2013). Empirical Negation. Acta Analytica 28 (1):49-69.score: 24.0
    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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  12. John Cantwell (2008). The Logic of Conditional Negation. Notre Dame Journal of Formal Logic 49 (3):245-260.score: 24.0
    It is argued that the "inner" negation $\mathord{\sim}$ familiar from 3-valued logic can be interpreted as a form of "conditional" negation: $\mathord{\sim}$ is read '$A$ is false if it has a truth value'. It is argued that this reading squares well with a particular 3-valued interpretation of a conditional that in the literature has been seen as a serious candidate for capturing the truth conditions of the natural language indicative conditional (e.g., "If Jim went to the party he (...)
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  13. Paolo Diego Bubbio (2009). Solger and Hegel: Negation and Privation. International Journal of Philosophical Studies 17 (2):173-187.score: 24.0
    This paper has two related goals. Firstly, after briefly clarifying the theoretical core of Solger's thought, it will analyse his metaphysics from Hegel's point of view, emphasizing that sacrifice is, for Solger, the fundamental structure of the relationship between the finite and the Infinite. Secondly, it will investigate the main reasons behind Hegel's criticism of Solger, showing that they have different conceptions of privation and negation and concluding that Solger and Hegel have different aims. Hegel's aim consists in recomposing (...)
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  14. Massimo Warglien & Achille C. Varzi (2003). The Geometry of Negation. Journal of Applied Non-Classical Logics 13 (1):9-19.score: 24.0
    There are two natural ways of thinking about negation: (i) as a form of complementation and (ii) as an operation of reversal, or inversion (to deny that p is to say that things are “the other way around”). A variety of techniques exist to model conception (i), from Euler and Venn diagrams to Boolean algebras. Conception (ii), by contrast, has not been given comparable attention. In this note we outline a twofold geometric proposal, where the inversion metaphor is understoood (...)
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  15. Steve Awodey & Jonas Eliasson (2004). Ultrasheaves and Double Negation. Notre Dame Journal of Formal Logic 45 (4):235-245.score: 24.0
    Moerdijk has introduced a topos of sheaves on a category of filters. Following his suggestion, we prove that its double negation subtopos is the topos of sheaves on the subcategory of ultrafilters—the ultrasheaves. We then use this result to establish a double negation translation of results between the topos of ultrasheaves and the topos on filters.
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  16. Jean-Michel Saury (2009). The Phenomenology of Negation. Phenomenology and the Cognitive Sciences 8 (2):245-260.score: 24.0
    Negation is a fundamental component of communication (no-answers), cognition (logical negation), perception (different color), attitude (dislike), emotion (hatred), and volition (disagreement). Its many uses make it difficult to provide an integrated definition of the concept. The aim of this paper is to show that an integrated definition of the concept can be arrived at by means of a phenomenological method structuring it into three general essences labelled lack, otherness and obstruction.
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  17. Paolo Diego Bubbio (2009). Solger's Notion of Sacrifice as Double Negation. Heythrop Journal 50 (2):206-214.score: 24.0
    The aim of the paper is to clarify the theoretical core of Solger's thought, the foundation for his aesthetics. I first analyze Solger's dialectic of double negation. Secondly I focus on Solger's gnoseology, which is orientated toward grasping the equilibrium between the Infinite (God) and the finite (world) consisting in this double negation. Lastly I investigate the notion of sacrifice, connecting it with Solger's ironic dialectic and showing its relevance to a complete understanding of his thought.
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  18. Norihiro Kamide (2003). Normal Modal Substructural Logics with Strong Negation. Journal of Philosophical Logic 32 (6):589-612.score: 24.0
    We introduce modal propositional substructural logics with strong negation, and prove the completeness theorems (with respect to Kripke models) for these logics.
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  19. Henriëtte De Swart & Ivan A. Sag (2002). Negation and Negative Concord in Romance. Linguistics and Philosophy 25 (4):373-417.score: 24.0
    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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  20. Agostinho Almeida (2009). Canonical Extensions and Relational Representations of Lattices with Negation. Studia Logica 91 (2):171 - 199.score: 24.0
    This work is part of a wider investigation into lattice-structured algebras and associated dual representations obtained via the methodology of canonical extensions. To this end, here we study lattices, not necessarily distributive, with negation operations. We consider equational classes of lattices equipped with a negation operation ¬ which is dually self-adjoint (the pair (¬,¬) is a Galois connection) and other axioms are added so as to give classes of lattices in which the negation is De Morgan, orthonegation, (...)
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  21. Norihiro Kamide (2006). Phase Semantics and Petri Net Interpretation for Resource-Sensitive Strong Negation. Journal of Logic, Language and Information 15 (4):371-401.score: 24.0
    Wansing’s extended intuitionistic linear logic with strong negation, called WILL, is regarded as a resource-conscious refinment of Nelson’s constructive logics with strong negation. In this paper, (1) the completeness theorem with respect to phase semantics is proved for WILL using a method that simultaneously derives the cut-elimination theorem, (2) a simple correspondence between the class of Petri nets with inhibitor arcs and a fragment of WILL is obtained using a Kripke semantics, (3) a cut-free sequent calculus for WILL, (...)
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  22. M. Spinks & R. Veroff (2008). Constructive Logic with Strong Negation is a Substructural Logic. II. Studia Logica 89 (3):401 - 425.score: 24.0
    The goal of this two-part series of papers is to show that constructive logic with strong negation N is definitionally equivalent to a certain axiomatic extension NFL ew of the substructural logic FL ew . The main result of Part I of this series [41] shows that the equivalent variety semantics of N (namely, the variety of Nelson algebras) and the equivalent variety semantics of NFL ew (namely, a certain variety of FL ew -algebras) are term equivalent. In (...)
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  23. Mark Textor (2013). 'Thereby We Have Broken with the Old Logical Dualism'–Reinach on Negative Judgement and Negation. British Journal for the History of Philosophy 21 (3):570 - 590.score: 24.0
    Does (affirmative) judgement have a logical dual, negative judgement? Whether there is such a logical dualism was hotly debated at the beginning of the twentieth century. Frege argued in ?Negation? (1918/9) that logic can dispense with negative judgement. Frege's arguments shaped the views of later generations of analytic philosophers, but they will not have convinced such opponents as Brentano or Windelband. These philosophers believed in negative judgement for psychological, not logical, reasons. Reinach's ?On the Theory of Negative Judgement? (1911) (...)
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  24. Jacques Mœschler (1992). The Pragmatic Aspects of Linguistic Negation: Speech Act, Argumentation and Pragmatic Inference. [REVIEW] Argumentation 6 (1):51-76.score: 24.0
    This paper is an attempt to give a general explanation of pragmatic aspects of linguistic negation. After a brief survey of classical accounts of negation within pragmatic theories (as speech act theory, argumentation theory and polyphonic theory), the main pragmatic uses of negation (illocutionary negation, external negation, lowering and majoring negation) are discussed within relevance theory. The question of the relevance of negative utterance is raised, and a general inferential schema (based on the so-called (...)
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  25. Graham Priest (2009). Dualising Intuitionictic Negation. Principia 13 (2):165-184.score: 24.0
    One of Da Costa's motives when he constructed the paraconsistent logic Cw was to dualise the negation of intuitionistic logic. In this paper I explore a different way of going about this task. A logic is defined by taking the Kripke semantics for intuitionistic logic, and dualising the truth conditions for negation. Various properties of the logic are established, including its relation to CWo Tableau and natural deduction systems for the logic are produced, as are appropriate algebraic structures. (...)
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  26. Jonathan E. Adler & J. Anthony Blair (2000). Belief and Negation. Informal Logic 20 (3).score: 24.0
    This paper argues for the importance of the distinction between internal and external negation over expressions for belief. The common fallacy is to confuse statement like (1) and (2): (1) John believes that the school is not closed on Tuesday; (2) John does not believe that the school is closed on Tuesday. The fallacy has ramifications in teaching, reasoning, and argumentation. Analysis of the fallacy and suggestions for teaching are offered.
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  27. Benjamin Balas (2012). Contrast Negation and Texture Synthesis Differentially Disrupt Natural Texture Appearance. Frontiers in Psychology 3.score: 24.0
    Natural textures have characteristic image statistics that make them discriminable from unnatural textures. For example, both contrast-negation and texture synthesis alter the appearance of natural textures even though each manipulation preserves some features while disrupting others. Here, we examined the extent to which contrast-negation and texture synthesis each introduce or remove critical perceptual features for discriminating unnatural textures from natural textures. We find that both manipulations remove information that observers use for distinguishing natural textures from transformed versions of (...)
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  28. Thomas Macaulay Ferguson (2014). Łukasiewicz Negation and Many-Valued Extensions of Constructive Logics. In Proc. 44th International Symposium on Multiple-Valued Logic. IEEE Computer Society Press. 121-127.score: 24.0
    This paper examines the relationships between the many-valued logics G~ and Gn~ of Esteva, Godo, Hajek, and Navara, i.e., Godel logic G enriched with Łukasiewicz negation, and neighbors of intuitionistic logic. The popular fragments of Rauszer's Heyting-Brouwer logic HB admit many-valued extensions similar to G which may likewise be enriched with Łukasiewicz negation; the fuzzy extensions of these logics, including HB, are equivalent to G ~, as are their n-valued extensions equivalent to Gn~ for any n ≥ 2. (...)
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  29. Tero Tulenheimo (2014). Classical Negation and Game-Theoretical Semantics. Notre Dame Journal of Formal Logic 55 (4):469-498.score: 24.0
    Typical applications of Hintikka’s game-theoretical semantics (GTS) give rise to semantic attributes—truth, falsity—expressible in the $\Sigma^{1}_{1}$-fragment of second-order logic. Actually a much more general notion of semantic attribute is motivated by strategic considerations. When identifying such a generalization, the notion of classical negation plays a crucial role. We study two languages, $L_{1}$ and $L_{2}$, in both of which two negation signs are available: $\rightharpoondown $ and $\sim$. The latter is the usual GTS negation which transposes the players’ (...)
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  30. Marie-Jeanne Borel (1992). Anthropological Objects and Negation. Argumentation 6 (1):7-27.score: 24.0
    Ever since Kant, the possibility of having objects of knowledge has been one of the most basic anthropological questions (“what can I know?”). For the logician, the linguist, or the semiologist who studies natural language, negation is one of these objects. However, as an operation and as a symbol, it has the paradoxical property of not being able to be objectivized in the discourse that treats it without being used in this construction. Of course, it is an entirely general (...)
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  31. Dominique Guy Brassart (1992). Negation, Concession and Refutation in Counter-Argumentative Composition by Pupils From 8 to 12 Years Old and Adults. Argumentation 6 (1):77-98.score: 24.0
    In a theoretical first part we attempt to articulate the notions of concession, refutation and negation for monological linguistic activity, on the basis among other things of Mœschler's work on conversation. We distinguish the illocutionary act of refutation and the complex intervention of refutation, concession-invention, concession-repetition and concession-quotation. In a second part we analyze the place and role of (descriptive) negation in counter-argumentative texts written by 8- to 12-year-old pupils and adults in an artificial situation. We consider phenomena (...)
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  32. Soma Dutta & Mihir K. Chakraborty (2011). Negation and Paraconsistent Logics. Logica Universalis 5 (1):165-176.score: 24.0
    Does there exist any equivalence between the notions of inconsistency and consequence in paraconsistent logics as is present in the classical two valued logic? This is the key issue of this paper. Starting with a language where negation ( ${\neg}$ ) is the only connective, two sets of axioms for consequence and inconsistency of paraconsistent logics are presented. During this study two points have come out. The first one is that the notion of inconsistency of paraconsistent logics turns out (...)
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  33. Gemma Robles & José M. Méndez (2006). Converse Ackermann Property and Constructive Negation Defined with a Negation Connective. Logic and Logical Philosophy 15 (2):113-130.score: 24.0
    The Converse Ackermann Property is the unprovability of formulas of the form (A -> B) -> C when C does contain neither -> nor ¬. Intuitively, the CAP amounts to rule out the derivability of pure non-necessitive propositions from non-necessitive ones. A constructive negation of the sort historically defined by, e.g., Johansson is added to positive logics with the CAP in the spectrum delimited by Ticket Entailment and Dummett’s logic LC.
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  34. Marcin Tkaczyk (2013). Negation in Weak Positional Calculi. Logic and Logical Philosophy 22 (1):3-19.score: 24.0
    Four weak positional calculi are constructed and examined. They refer to the use of the connective of negation within the scope of the positional connective “R” of realization. The connective of negation may be fully classical, partially analogical or independent from the classical, truth-functional negation. It has been also proved that the strongest system, containing fully classical connective of negation, is deductively equivalent to the system MR from Jarmużek and Pietruszczak.
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  35. Athanassios Tzouvaras (2001). Periodicity of Negation. Notre Dame Journal of Formal Logic 42 (2):87-99.score: 22.0
    In the context of a distributive lattice we specify the sort of mappings that could be generally called ''negations'' and study their behavior under iteration. We show that there are periodic and nonperiodic ones. Natural periodic negations exist with periods 2, 3, and 4 and pace 2, as well as natural nonperiodic ones, arising from the interaction of interior and quasi interior mappings with the pseudocomplement. For any n and any even , negations of period n and pace s can (...)
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  36. Francesco Berto (2006). Characterizing Negation to Face Dialetheism. Logique Et Analyse 49 (195):241-263.score: 21.0
  37. Teresa Marques (2010). Truth and The Ambiguity of Negation. In Erich Rast & Luiz Carlos Baptista (eds.), Meaning and Context. Peter Lang. 2--235.score: 21.0
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  38. Howard James Simmons, 'Austere' Sentential Logic: Double Negation Collapse Without Excluded Middle.score: 21.0
    This paper describes and defends a system of sentential logic in which both contradictions and instances of excluded middle are treated as incoherent.
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  39. Karolina Hübner (forthcoming). Spinoza on Negation, Mind-Dependence and the Reality of the Finite. In Yitzhak Melamed (ed.), The Young Spinoza.score: 21.0
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  40. Gemma Robles (2008). The Basic Constructive Logic for Negation-Consistency. Journal of Logic, Language and Information 17 (2):161-181.score: 21.0
    In this paper, consistency is understood in the standard way, i.e. as the absence of a contradiction. The basic constructive logic BKc4, which is adequate to this sense of consistency in the ternary relational semantics without a set of designated points, is defined. Then, it is shown how to define a series of logics by extending BKc4 up to minimal intuitionistic logic. All logics defined in this paper are paraconsistent logics.
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  41. Petr Cintula, Erich Peter Klement, Radko Mesiar & Mirko Navara (2006). Residuated Logics Based on Strict Triangular Norms with an Involutive Negation. Mathematical Logic Quarterly 52 (3):269-282.score: 21.0
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  42. Jean-Philippe Narboux (2005). Négation, contrariété et contradiction. Archives de Philosophie 3:419-446.score: 21.0
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  43. [deleted]Francesco Foroni & Gün R. Semin (2013). Comprehension of Action Negation Involves Inhibitory Simulation. Frontiers in Human Neuroscience 7.score: 21.0
  44. Jean-Marie Klinkenberg (2011). A quelles conditions peut-on parler de négation dans l'image? Aisthesis. Pratiche, Linguaggi E Saperi Dell’Estetico 4 (2).score: 21.0
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  45. Eric Toms (1962). Being, Negation, and Logic. Oxford, Blackwell.score: 21.0
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  46. Leó Apostel (1973). Negation. Leuven,Nauwelaerts.score: 21.0
     
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  47. [deleted]Jörg Bahlmann, Jutta L. Mueller, Michiru Makuuchi & Angela D. Friederici (2011). Perisylvian Functional Connectivity During Processing of Sentential Negation. Frontiers in Psychology 2:104-104.score: 21.0
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  48. Kalidas Bhattacharya (1977). On the Concepts of Relation and Negation in Indian Philosophy. Sanskrit College.score: 21.0
     
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  49. Dan Butnariu, Erich Peter Klement, Radko Mesiar & Mirko Navara (2005). Sufficient Triangular Norms in Many-Valued Logics with Standard Negation. Archive for Mathematical Logic 44 (7):829-849.score: 21.0
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  50. Johan J. de Iongh, H. C. M. de Swart & L. J. M. Bergman (eds.) (1995). Perspectives on Negation: Essays in Honour of Johan J. De Iongh on His 80th Birthday. Tilburg University Press.score: 21.0
     
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