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Siblings:History/traditions: Negation

188 found
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  1. added 2020-06-20
    Adorno and Negative Theology.Martin Shuster - 2016 - Graduate Faculty Philosophy Journal 37 (1):97-130.
    This article elaborates Theodor W. Adorno’s understanding of ‘negation’ and ‘negative theology.’ It proceeds by introducing a typology of negation within modern philosophy roughly from Descartes onwards, showing how Adorno both fits and also stands out in this typology. Ultimately, it is argued that Adorno’s approach to negation and thereby to negative theology is throughout distinguished and infused by an ethical commitment.
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  2. added 2020-06-18
    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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  3. added 2020-06-16
    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 of (...)
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  4. added 2020-06-16
    What is Wrong with Classical Negation?Nils Kurbis - 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, I (...)
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  5. added 2020-06-10
    If Counterfactuals Were Neg-Raisers, Conditional Excluded Middle Wouldn’T Be Valid.Patrick Todd & Brian Rabern - manuscript
    The principle of Conditional Excluded Middle has been a matter of longstanding controversy in both semantics and metaphysics. According to this principle, we are, inter alia, committed to claims like the following: If the coin had been flipped, it would have landed heads, or if the coin had been flipped, it would not have landed heads. In favour of the principle, theorists have appealed, primarily, to linguistic data such as that we tend to hear ¬(A > B) as equivalent to (...)
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  6. added 2020-05-25
    On Correspondence of Standard Modalities and Negative Ones on the Basis of Regular and Quasi-regular Logics.Krystyna Mruczek-Nasieniewska & Marek Nasieniewski - forthcoming - Studia Logica:1-37.
    In the context of modal logics one standardly considers two modal operators: possibility ) and necessity ) [see for example Chellas ]. If the classical negation is present these operators can be treated as inter-definable. However, negative modalities ) and ) are also considered in the literature [see for example Béziau ; Došen :3–14, 1984); Gödel, in: Feferman, Collected works, vol 1, Publications 1929–1936, Oxford University Press, New York, 1986, p. 300; Lewis and Langford ]. Both of them can be (...)
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  7. added 2020-05-25
    Adaptive Fregean Set Theory.Diderik Batens - forthcoming - Studia Logica:1-37.
    This paper defines provably non-trivial theories that characterize Frege’s notion of a set, taking into account that the notion is inconsistent. By choosing an adaptive underlying logic, consistent sets behave classically notwithstanding the presence of inconsistent sets. Some of the theories have a full-blown presumably consistent set theory T as a subtheory, provided T is indeed consistent. An unexpected feature is the presence of classical negation within the language.
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  8. added 2020-01-30
    The Material Account of Conditionals and the Clash Between Intensional and Extensional Evidence.Matheus Silva - manuscript
    Intensional evidence is any reason to accept a proposition that is not the truth values of the proposition accepted or, if it is a complex proposition, its propositional contents. Extensional evidence is non-intensional evidence. Someone can accept a complex proposition, but deny its logical consequences in two circumstances: (1) when her acceptance is based on intensional evidence, while the logical consequences of the proposition presuppose the acceptance of extensional evidence, e.g., she can refuse the logical consequence of a proposition she (...)
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  9. added 2020-01-17
    Singular Propositions, Negation and the Square of Opposition.Lopamudra Choudhury & Mihir Kumar Chakraborty - 2016 - Logica Universalis 10 (2-3):215-231.
    This paper contains two traditions of diagrammatic studies namely one, the Euler–Venn–Peirce diagram and the other, following tradition of Aristotle, the square of oppositions. We put together both the traditions to study representations of singular propositions, their negations and the inter relationship between the two. Along with classical negation we have incorporated negation of another kind viz. absence. We have also considered the changes that take place in the context of open universe.
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  10. added 2019-12-20
    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 between such points. (...)
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  11. added 2019-08-15
    Propositions Negatable in Three Ways.David Carr - 1980 - Analysis 40 (4):214 - 219.
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  12. added 2019-08-13
    A Survey of Logical Realism.Tuomas E. Tahko - forthcoming - Synthese.
    Logical realism is a view about the metaphysical status of logic. Common to most if not all the views captured by the label ‘logical realism’ is that logical facts are mind- and language-independent. But that does not tell us anything about the nature of logical facts or about our epistemic access to them. The goal of this paper is to outline and systematize the different ways that logical realism could be entertained and to examine some of the challenges that these (...)
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  13. added 2019-08-05
    Proof Theory for Positive Logic with Weak Negation.Marta Bílková & Almudena Colacito - forthcoming - Studia Logica:1-38.
    Proof-theoretic methods are developed for subsystems of Johansson’s logic obtained by extending the positive fragment of intuitionistic logic with weak negations. These methods are exploited to establish properties of the logical systems. In particular, cut-free complete sequent calculi are introduced and used to provide a proof of the fact that the systems satisfy the Craig interpolation property. Alternative versions of the calculi are later obtained by means of an appropriate loop-checking history mechanism. Termination of the new calculi is proved, and (...)
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  14. added 2019-07-22
    An Argument for Minimal Logic.Nils Kürbis - 2019 - Dialectica 73 (1-2):31-63.
    The problem of negative truth is the problem of how, if everything in the world is positive, we can speak truly about the world using negative propositions. A prominent solution is to explain negation in terms of a primitive notion of metaphysical incompatibility. I argue that if this account is correct, then minimal logic is the correct logic. The negation of a proposition A is characterised as the minimal incompatible of A composed of it and the logical constant ¬. A (...)
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  15. added 2019-07-03
    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 question is, (...)
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  16. added 2019-06-21
    What Negation is Not: Intuitionism and ‘0=1’.Roy T. Cook & Jon Cogburn - 2000 - Analysis 60 (1):5–12.
  17. added 2019-06-18
    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 elsewhere. Based (...)
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  18. added 2019-06-06
    Experiments on Aristotle’s Thesis: Towards an Experimental Philosophy of Conditionals.Niki Pfeifer - 2012 - The Monist 95 (2):223-240.
    Two experiments investigate two versions of Aristotle’s Thesis for the first time. Aristotle’s Thesis is a negated conditional, which consists of one propositional variable with a negation either in the antecedent or in the consequent. This task allows us to infer if people interpret indicative conditionals as material conditionals or as conditional events. In the first experiment I investigate between-participants the two versions of Aristotle’s Thesis crossed with abstract versus concrete task material. The modal response for all four groups is (...)
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  19. added 2019-06-06
    Truth, Negation, and the Limit of Inquiry: Revisiting the Problem of Buried Secrets.Andrew F. Smith - 2009 - Southwest Philosophy Review 25 (2):79-94.
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  20. added 2019-06-06
    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, the (...)
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  21. added 2019-06-06
    Denying Existence: The Logic, Epistemology and Pragmatics of Negative Existenials and Fictional Discourse. [REVIEW]Amie L. Thomasson - 2000 - Philosophical and Phenomenological Research 61 (1):233-235.
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  22. added 2019-06-06
    The Written Representation of Negation.David R. Olson - 1997 - Pragmatics and Cognition 5 (2):235-252.
    While negatives are fundamental to the functioning of human languages and while they are acquired extremely early by children, there is some evidence that an aware-ness of the logical and representational functions of negation is late to develop and may depend in part on the invention of notational means for representing it. This hypothesis is explored by reference to the presence or absence of notations for negation in the world's writing systems, the acquisition of notational devices for representing negation by (...)
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  23. added 2019-06-06
    A Natural History of Negation.Jon Barwise & Laurence R. Horn - 1991 - Journal of Symbolic Logic 56 (3):1103.
  24. added 2019-06-06
    VIII.—The Meaning of Negation.F. H. Heinemann - 1944 - Proceedings of the Aristotelian Society 44 (1):127-152.
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  25. added 2019-05-10
    Weak Assertion.Luca Incurvati & Julian J. Schlöder - 2019 - Philosophical Quarterly 69 (277):741-770.
    We present an inferentialist account of the epistemic modal operator might. Our starting point is the bilateralist programme. A bilateralist explains the operator not in terms of the speech act of rejection ; we explain the operator might in terms of weak assertion, a speech act whose existence we argue for on the basis of linguistic evidence. We show that our account of might provides a solution to certain well-known puzzles about the semantics of modal vocabulary whilst retaining classical logic. (...)
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  26. added 2019-04-05
    Categoricity and Negation. A Note on Kripke’s Affirmativism.Constantin C. Brîncuș & Iulian D. Toader - 2018 - 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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  27. added 2019-03-09
    Logic in Opposition.Fabien Schang - 2013 - Studia Humana 2 (3):31-45.
    It is claimed hereby that, against a current view of logic as a theory of consequence, opposition is a basic logical concept that can be used to define consequence itself. This requires some substantial changes in the underlying framework, including: a non-Fregean semantics of questions and answers, instead of the usual truth-conditional semantics; an extension of opposition as a relation between any structured objects; a definition of oppositions in terms of basic negation. Objections to this claim will be reviewed.
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  28. added 2019-03-09
    L’opposition : analyse logique d'une notion flottante.Fabien Schang - 2012 - Syntaxe Et Sémantique 13:65-85.
    A logical theory of oppositions deals with the relation between propositions and their truth values. On the basis of a formal semantics that proceeds by means of questions-answers, three theses are claimed in the following: (1) the concept of opposition usually refers to incompatibility, but our logical analysis focusses upon a broader relation of difference; (2) more generally, opposition has to do with negativity; our semantics accounts for it through opposite-forming operators; (3) subalternation is a particular case of non-contradiction expressing (...)
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  29. added 2019-03-09
    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 of a (...)
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  30. added 2019-03-09
    Questions and Answers About Oppositions.Fabien Schang - 2011 - In Jean-Yves Beziau & Gillman Payette (eds.), The Square of Opposition: A General Framework for Cognition. Berne, Suisse: pp. 289-319.
    A general characterization of logical opposition is given in the present paper, where oppositions are defined by specific answers in an algebraic question-answer game. It is shown that opposition is essentially a semantic relation of truth values between syntactic opposites, before generalizing the theory of opposition from the initial Apuleian square to a variety of alter- native geometrical representations. In the light of this generalization, the famous problem of existential import is traced back to an ambiguous interpretation of assertoric sentences (...)
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  31. added 2019-03-09
    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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  32. added 2019-02-22
    Is Incompatibilism Compatible with Fregeanism?Nils Kürbis - 2018 - European Journal of Analytic Philosophy 14 (2):27-46.
    This paper considers whether incompatibilism, the view that negation is to be explained in terms of a primitive notion of incompatibility, and Fregeanism, the view that arithmetical truths are analytic according to Frege’s definition of that term in §3 of Foundations of Arithmetic, can both be upheld simultaneously. Both views are attractive on their own right, in particular for a certain empiricist mind-set. They promise to account for two philosophical puzzling phenomena: the problem of negative truth and the problem of (...)
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  33. added 2018-10-15
    Thinking is Believing.Eric Mandelbaum - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (1):55-96.
  34. added 2018-10-09
    Proof and Falsity: A Logical Investigation.Nils Kürbis - 2019 - Cambridge, UK: Cambridge University Press.
    This book argues that the meaning of negation, perhaps the most important logical constant, cannot be defined within the framework of the most comprehensive theory of proof-theoretic semantics, as formulated in the influential work of Michael Dummett and Dag Prawitz. Nils Kürbis examines three approaches that have attempted to solve the problem - defining negation in terms of metaphysical incompatibility; treating negation as an undefinable primitive; and defining negation in terms of a speech act of denial - and concludes that (...)
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  35. added 2018-09-23
    The Importance of Being Erroneous.Nils Kürbis - forthcoming - Australasian Philosophical Review 2 (3).
    This is a commentary on MM McCabe's "First Chop your logos... Socrates and the sophists on language, logic, and development". In her paper MM analyses Plato's Euthydemos, in which Plato tackles the problem of falsity in a way that takes into account the speaker and complements the Sophist's discussion of what is said. The dialogue looks as if it is merely a demonstration of the silly consequences of eristic combat. And so it is. But a main point of MM's paper (...)
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  36. added 2018-09-07
    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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  37. added 2018-09-01
    The Problem of Future Contingents: Scoping Out a Solution.Patrick Todd - forthcoming - Synthese:1-22.
    Various philosophers have long since been attracted to the doctrine that future contingent propositions systematically fail to be true - what is sometimes called the doctrine of the open future. However, open futurists have always struggled to articulate how their view interacts with standard principles of classical logic - most notably, with the Law of Excluded Middle (LEM). For consider the following two claims: (a) Trump will be impeached tomorrow; (b) Trump will not be impeached tomorrow. According to the kind (...)
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  38. added 2018-08-19
    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 the following (...)
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  39. added 2018-03-16
    More on Empirical Negation.Michael De & Hitoshi Omori - 2014 - In Rajeev Goré, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Volume 10. CSLI Publications. pp. 114-133.
    Intuitionism can be seen as a verificationism restricted to mathematical discourse. An attempt to generalize intuitionism to empirical discourse presents various challenges. One of those concerns the logical and semantical behavior of what has been called ' empirical negation'. An extension of intuitionistic logic with empirical negation was given by Michael De and a labelled tableaux system was there shown sound and complete. However, a Hilbert-style axiom system that is sound and complete was missing. In this paper we provide the (...)
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  40. added 2018-03-15
    There is More to Negation Than Modality.Michael De & Hitoshi Omori - 2018 - Journal of Philosophical Logic 47 (2):281-299.
    There is a relatively recent trend in treating negation as a modal operator. One such reason is that doing so provides a uniform semantics for the negations of a wide variety of logics and arguably speaks to a longstanding challenge of Quine put to non-classical logics. One might be tempted to draw the conclusion that negation is a modal operator, a claim Francesco Berto, 761–793, 2015) defends at length in a recent paper. According to one such modal account, the negation (...)
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  41. added 2018-03-15
    Classical and Empirical Negation in Subintuitionistic Logic.Michael De & Hitoshi Omori - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11. CSLI Publications. pp. 217-235.
    Subintuitionistic (propositional) logics are those in a standard intuitionistic language that result by weakening the frame conditions of the Kripke semantics for intuitionistic logic. In this paper we consider two negation expansions of subintuitionistic logic, one by classical negation and the other by what has been dubbed “empirical” negation. We provide an axiomatization of each expansion and show them sound and strongly complete. We conclude with some final remarks, including avenues for future research.
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  42. added 2018-03-01
    Bilateralism, Independence and Coordination.Gonçalo Santos - 2018 - Teorema: International Journal of Philosophy 37 (1):23-27.
    Bilateralism is a theory of meaning according to which assertion and denial are independent speech acts. Bilateralism also proposes two coordination principles for assertion and denial. I argue that if assertion and denial are independent speech acts, they cannot be coordinated by the bilateralist principles.
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  43. added 2018-02-27
    Molnar on Truthmakers for Negative Truths.Nils Kürbis - 2018 - Metaphysica 19 (2):251-257.
    Molnar argues that the problem of truthmakers for negative truths arises because we tend to accept four metaphysical principles that entail that all negative truths have positive truthmakers. This conclusion, however, already follows from only three of Molnar´s metaphysical principles. One purpose of this note is to set the record straight. I provide an alternative reading of two of Molnar´s principles on which they are all needed to derive the desired conclusion. Furthermore, according to Molnar, the four principles may be (...)
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  44. added 2018-02-17
    On Negation, Truth and Warranted Assertibility.Neil Tennant - 1995 - Analysis 55 (2):98-104.
    All parties to the proceedings that follow concur with DS. The question is whether there is anything more to truth than can be gleaned from DS alone. Deflationism holds that there is nothing more to truth than this. Now it would appear that 'warrantedly assertible' can play the role of T in DS. Hence it would appear that the deflationist would be able to identify truth with warranted assertibility.
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  45. added 2017-10-29
    Negative Findings in Electronic Health Records and Biomedical Ontologies: A Realist Approach.Werner Ceusters, Peter Elkin & Barry Smith - 2007 - International Journal of Medical Informatics 76 (3):S326-S333.
    PURPOSE—A substantial fraction of the observations made by clinicians and entered into patient records are expressed by means of negation or by using terms which contain negative qualifiers (as in “absence of pulse” or “surgical procedure not performed”). This seems at first sight to present problems for ontologies, terminologies and data repositories that adhere to a realist view and thus reject any reference to putative non-existing entities. Basic Formal Ontology (BFO) and Referent Tracking (RT) are examples of such paradigms. The (...)
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  46. added 2017-02-23
    Weak Rejection.Luca Incurvati & Julian J. Schlöder - 2017 - Australasian Journal of Philosophy 95 (4):741-760.
    ABSTRACTLinguistic evidence supports the claim that certain, weak rejections are less specific than assertions. On the basis of this evidence, it has been argued that rejected sentences cannot be premisses and conclusions in inferences. We give examples of inferences with weakly rejected sentences as premisses and conclusions. We then propose a logic of weak rejection which accounts for the relevant phenomena and is motivated by principles of coherence in dialogue. We give a semantics for which this logic is sound and (...)
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  47. added 2017-02-11
    Formal Language and Natural Language: Negation in English.Jonathan Barnes - 1995 - Rue Descartes 14:153-184.
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  48. added 2017-02-10
    What is Wrong with Negative Properties.Richard Vallée - 2004 - Manuscrito 27 (2):361-382.
    Negative properties, like not flying, are controversial. I introduce negative properties, and offer semantic arguments against the inclusion of such properties in ontology. I distinguish predicate negation and sentential negation, and examine the syntactic and semantic behaviour of predicate negation. I contend that predicate negation is identical with sentential negation. If it is not, then we lose a lot of intuitive inferences found in natural languages and make no clear metaphysical gain. Other arguments based on Ockham’s razor are offered. Finally, (...)
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  49. added 2017-02-08
    Negative . . . Concord?Anastasia Giannakidou - unknown
    The main claim of this paper is that a general theory of negative concord (NC) should allow for the possibility of NC involving scoping of a universal quantifier above negation. I propose that Greek NC instantiates this option. Greek n-words will be analyzed as polarity sensitive universal quantifiers which need negation in order to be licensed, but must raise above negation in order to yield the scoping ∀¬. This gives the correct interpretation of NC structures as general negative statements. The (...)
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  50. added 2017-02-08
    Denial, Negation, and the Forces of the Negative.Marcella Tarozzi Goldsmith - 2006 - Review of Metaphysics 60 (2):431-432.
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