Switch to: Citations

References in:

A Modality Called ‘Negation’

Mind 124 (495):761-793 (2015)

Add references

You must login to add references.
  1. The Liar and Sorites Paradoxes: Toward a Unified Treatment.Jamie Tappenden - 1993 - Journal of Philosophy 90 (11):551-577.
    Download  
     
    Export citation  
     
    Bookmark   42 citations  
  • Situations and Attitudes.Jon Barwise - 1981 - Journal of Philosophy 78 (11):668.
    Download  
     
    Export citation  
     
    Bookmark   47 citations  
  • Impossibilities.Robert Stalnaker - 1996 - Philosophical Topics 24 (1):193-204.
    Download  
     
    Export citation  
     
    Bookmark   16 citations  
  • Dual Intuitionistic Logic and a Variety of Negations: The Logic of Scientific Research.Yaroslav Shramko - 2005 - Studia Logica 80 (2-3):347-367.
    We consider a logic which is semantically dual (in some precise sense of the term) to intuitionistic. This logic can be labeled as “falsification logic”: it embodies the Popperian methodology of scientific discovery. Whereas intuitionistic logic deals with constructive truth and non-constructive falsity, and Nelson's logic takes both truth and falsity as constructive notions, in the falsification logic truth is essentially non-constructive as opposed to falsity that is conceived constructively. We also briefly clarify the relationships of our falsification logic to (...)
    Download  
     
    Export citation  
     
    Bookmark   20 citations  
  • Rejection.Timothy Smiley - 1996 - Analysis 56 (1):1–9.
    Download  
     
    Export citation  
     
    Bookmark   69 citations  
  • Paraconsistency: Logic and Applications.Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.) - 2013 - Springer.
    A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Conjunction and Contradiction.Achille C. Varzi - 2004 - In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction: New Philosophical Essays. Clarendon Press. pp. 93–110.
    There are two ways of understanding the notion of a contradiction: as a conjunction of a statement and its negation, or as a pair of statements one of which is the negation of the other. Correspondingly, there are two ways of understanding the Law of Non-Contradiction (LNC), i.e., the law that says that no contradictions can be true. In this paper I offer some arguments to the effect that on the first (collective) reading LNC is non-negotiable, but on the second (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Logical Pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
    Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...)
    Download  
     
    Export citation  
     
    Bookmark   157 citations  
  • Absolute Contradiction, Dialetheism, and Revenge.Francesco Berto - 2014 - Review of Symbolic Logic 7 (2):193-207.
    Is there a notion of contradiction—let us call it, for dramatic effect, “absolute”—making all contradictions, so understood, unacceptable also for dialetheists? It is argued in this paper that there is, and that spelling it out brings some theoretical benefits. First it gives us a foothold on undisputed ground in the methodologically difficult debate on dialetheism. Second, we can use it to express, without begging questions, the disagreement between dialetheists and their rivals on the nature of truth. Third, dialetheism has an (...)
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  • Weak Negations and Neighborhood Semantics.David Ripley - unknown
    As we’ve seen in the last chapter, there is good linguistic reason to categorize negations (and negative operators in general) by which De Morgan laws they support. The weakest negative operators (merely downward monotonic) support only two De Morgan laws;1 medium-strength negative operators support a third;2 and strong negative operators support all four. As we’ve also seen, techniques familiar from modal logic are of great use in giving unifying theories of negative operators. In particular, Dunn’s (1990) distributoid theory allows us (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark   1 citation  
  • Άδύνατον and Material Exclusion 1.Francesco Berto - 2008 - Australasian Journal of Philosophy 86 (2):165 – 190.
    Philosophical dialetheism, whose main exponent is Graham Priest, claims that some contradictions hold, are true, and it is rational to accept and assert them. Such a position is naturally portrayed as a challenge to the Law of Non-Contradiction (LNC). But all the classic formulations of the LNC are, in a sense, not questioned by a typical dialetheist, since she is (cheerfully) required to accept them by her own theory. The goal of this paper is to develop a formulation of the (...)
    Download  
     
    Export citation  
     
    Bookmark   9 citations  
  • Situations and Attitudes.Jerry Butterfield - 1986 - Philosophical Quarterly 36 (143):292-296.
    Download  
     
    Export citation  
     
    Bookmark   44 citations  
  • Modal Logic: An Introduction.Brian F. Chellas - 1980 - Cambridge University Press.
    A textbook on modal logic, intended for readers already acquainted with the elements of formal logic, containing nearly 500 exercises. Brian F. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. Illustrative chapters focus on deontic logic and conditionality. Modality is a rapidly expanding branch of logic, and familiarity with the subject is now regarded as a necessary part of every philosopher's technical equipment. Chellas here offers an (...)
    Download  
     
    Export citation  
     
    Bookmark   307 citations  
  • Paraconsistency:The Logical Way to the Inconsistent.Walter Carnielli (ed.) - 2002 - CRC Press.
    The Logical Way to the Inconsistent Walter Alexandr Carnielli, Marcelo Coniglio, Itala Maria Lof D'ottaviano. Beyond Truth(-Preservation) R.E. JENNINGS Laboratory for Logic and Experimental Philosophy, Simon Fraser University, Burnaby, ...
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Situations and Attitudes.Sten Lindstrom - 1991 - Noûs 25 (5):743-770.
    Download  
     
    Export citation  
     
    Bookmark   20 citations  
  • Philosophy of Logics.Neil Tennant - 1981 - British Journal for the Philosophy of Science 32 (3):287-301.
    Download  
     
    Export citation  
     
    Bookmark   25 citations  
  • The Law of Non-Contradiction : New Philosophical Essays.Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.) - 2004 - Oxford University Press.
    The Law of Non-Contradiction - that no contradiction can be true - has been a seemingly unassailable dogma since the work of Aristotle, in Book G of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into (...)
    Download  
     
    Export citation  
     
    Bookmark   28 citations  
  • Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford University Press.
    Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...)
    Download  
     
    Export citation  
     
    Bookmark   114 citations  
  • Relevant Logic: A Philosophical Interpretation.Reinhard Kahle - 2007 - Studia Logica 85 (3):419-424.
    Download  
     
    Export citation  
     
    Bookmark   34 citations  
  • Philosophy of Logic.Richard E. Grandy - 1975 - Journal of Symbolic Logic 40 (4):587-588.
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  • On When a Semantics is Not a Semantics: Some Reasons for Disliking the Routley-Meyer Semantics for Relevance Logic. [REVIEW]B. J. Copeland - 1979 - Journal of Philosophical Logic 8 (1):399-413.
    Download  
     
    Export citation  
     
    Bookmark   31 citations  
  • Philosophy of Logics.Gilbert Harman - 1980 - Journal of Symbolic Logic 45 (2):372-373.
    Download  
     
    Export citation  
     
    Bookmark   25 citations  
  • In Contradiction: A Study of the Transconsistent.N. C. A. Da Costa - 1989 - Philosophical Quarterly 39 (157):498-502.
    Download  
     
    Export citation  
     
    Bookmark   62 citations  
  • What Is Dialectical Logic?J. F. A. K. van Benthem - 1979 - Erkenntnis 14 (3):333-347.
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Cambridge University Press.
    This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and (...)
    Download  
     
    Export citation  
     
    Bookmark   92 citations  
  • Philosophy of Logic.W. V. O. Quine - 1970 - Harvard University Press.
    With his customary incisiveness, W. V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical ...
    Download  
     
    Export citation  
     
    Bookmark   333 citations  
  • Semantic Analysis of Orthologic.R. I. Goldblatt - 1974 - Journal of Philosophical Logic 3 (1/2):19 - 35.
    Download  
     
    Export citation  
     
    Bookmark   68 citations  
  • What is Dialectical Logic?J. F. A. K. Benthem - 1979 - Erkenntnis 14 (3):333 - 347.
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Boolean Negation and All That.Graham Priest - 1990 - Journal of Philosophical Logic 19 (2):201 - 215.
    We have seen that proofs of soundness of (Boolean) DS, EFQ and of ABS — and hence the legitimation of these inferences — can be achieved only be appealing to the very form of reasoning in question. But this by no means implies that we have to fall back on classical reasoning willy-nilly. Many logical theories can provide the relevant boot-strapping. Decision between them has, therefore, to be made on other grounds. The grounds include the many criteria familiar from the (...)
    Download  
     
    Export citation  
     
    Bookmark   26 citations  
  • Situations and Attitudes.Jon Barwise & John Perry - 1983 - MIT Press.
    Download  
     
    Export citation  
     
    Bookmark   185 citations  
  • Negation in the Context of Gaggle Theory.J. Michael Dunn & Chunlai Zhou - 2005 - Studia Logica 80 (2-3):235-264.
    We study an application of gaggle theory to unary negative modal operators. First we treat negation as impossibility and get a minimal logic system Ki that has a perp semantics. Dunn 's kite of different negations can be dealt with in the extensions of this basic logic Ki. Next we treat negation as “unnecessity” and use a characteristic semantics for different negations in a kite which is dual to Dunn 's original one. Ku is the minimal logic that has a (...)
    Download  
     
    Export citation  
     
    Bookmark   13 citations  
  • Pretopology Semantics for Bimodal Intuitionistic Linear Logic.C. Hartonas - 1997 - Logic Journal of the IGPL 5 (1):65-78.
    We present a complete pretopology semantics for a system of Intuitionistic Linear Logic where the storage operator is split into a contraction and a weakening component and then recovered again from them. The semantics for weakening and contraction has been explored by Bart Jacobs [13] in a categorical setting. However, a completeness theorem is not given in [13] and the approach taken there does not accommodate the case of non-commutative linear logic. Besides, we think it useful to have an intuitive, (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Paraconsistent Logic: Essays on the Inconsistent.G. Priest, R. Routley & J. Norman (eds.) - 1989 - Philosophia Verlag.
    Download  
     
    Export citation  
     
    Bookmark   70 citations  
  • In Contradiction: A Study of the Transconsistent.Graham Priest - 2006 - Oxford University Press.
    In Contradiction advocates and defends the view that there are true contradictions, a view that flies in the face of orthodoxy in Western philosophy since Aristotle. The book has been at the center of the controversies surrounding dialetheism ever since its first publication in 1987. This second edition of the book substantially expands upon the original in various ways, and also contains the author’s reflections on developments over the last two decades. Further aspects of dialetheism are discussed in the companion (...)
    Download  
     
    Export citation  
     
    Bookmark   270 citations  
  • Revising Logic.Michael D. Resnik - 2004 - In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction. Clarendon Press.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Logical Negation.George Englebretsen - 1981 - Van Gorcum.
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • A Natural History of Negation.Jon Barwise & Laurence R. Horn - 1991 - Journal of Symbolic Logic 56 (3):1103.
    Download  
     
    Export citation  
     
    Bookmark   215 citations  
  • A Semantical Analysis of the Calculi Cn.Newton C. A. da Costa - 1977 - Notre Dame Journal of Formal Logic 18:621.
    Download  
     
    Export citation  
     
    Bookmark   26 citations  
  • Philosophy of Logic.W. V. Quine - 1999 - In Simon Blackburn & Keith Simmons (eds.), Truth. Oxford University Press.
    Download  
     
    Export citation  
     
    Bookmark   115 citations  
  • Studies in Paraconsistent Logic I: The Dialectical Principle of the Unity of Opposites.Newton C. A. Da Costa & Robert G. Wolf - 1980 - Philosophia 9 (2):189-217.
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • The Semantics of First Degree Entailment.R. Routley & V. Routley - 1972 - Noûs 6 (4):335-359.
    Download  
     
    Export citation  
     
    Bookmark   61 citations  
  • Can Rational Dialetheism Be Refuted By Considerations About Negation and Denial?Mark Sainsbury - 1997 - ProtoSociology 10:216-229.
    Rational dialetheism is the view that for some contradictions, it is rational to believe that they are true. The view, associated with the work of among others, Graham Priest, looks as if it must lead to absurd consequences, and the present paper is an unsuccessful attempt to find them. In particular, I suggest that there is no non-question-begging account of acceptance, denial and negation which can be brought to bear against the rational dialetheist. Finally, I consider the prospect of attacking (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • On an Argument on Behalf of Classical Negation.Crispin Wright - 1993 - Mind 102 (405):123-131.
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • A Semantical Analysis of the Calculi C N.Newton C. A. Da Costa & E. H. Alves - 1977 - Notre Dame Journal Fo Formal Logic 18 (4):621-630.
    Download  
     
    Export citation  
     
    Bookmark   27 citations  
  • Star and Perp: Two Treatments of Negation.J. Michael Dunn - 1993 - Philosophical Perspectives 7:331-357.
    Download  
     
    Export citation  
     
    Bookmark   40 citations  
  • What is a Semantics for Classical Negation?B. J. Copeland - 1986 - Mind 95 (380):478-490.
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • On the Theory of Inconsistent Formal Systems.Newton C. A. Costa - 1972 - Recife, Universidade Federal De Pernambuco, Instituto De Matemática.
    Download  
     
    Export citation  
     
    Bookmark   83 citations  
  • Can Contradictions Be True?Timothy Smiley & Graham Priest - 1993 - Aristotelian Society Supplementary Volume 67 (1):17 - 54.
    Download  
     
    Export citation  
     
    Bookmark   26 citations  
  • A Star-Free Semantics for R.Edwin D. Mares - 1995 - Journal of Symbolic Logic 60 (2):579 - 590.
    The purpose of this paper is to show that semantics for relevance logic, based on the Routley-Meyer semantics, can be given without using the Routley star operator to treat negation. In the resulting semantics, negation is treated implicationally. It is shown that, by the use of restrictions on the ternary accessibility relation, simplified by the use of some definitions, a semantics can be stipulated over which R is complete.
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • Negation: A Notion in Focus.H. Wansing (ed.) - 1996 - W. De Gruyter.
    Download  
     
    Export citation  
     
    Bookmark   4 citations