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Graham Priest [323]G. Priest [26]Greg Priest [11]Graham George Priest [3]
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  1. An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - New York: 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 (...)
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  2. Williamson on Counterpossibles.Berto Francesco, David Ripley, Graham Priest & Rohan French - 2018 - Journal of Philosophical Logic 47 (4):693-713.
    A counterpossible conditional is a counterfactual with an impossible antecedent. Common sense delivers the view that some such conditionals are true, and some are false. In recent publications, Timothy Williamson has defended the view that all are true. In this paper we defend the common sense view against Williamson’s objections.
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  3. The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
  4. Doubt truth to be a liar.Graham Priest - 2006 - New York: Oxford University Press.
    Dialetheism is the view that some contradictions are true. This is a view which runs against orthodoxy in logic and metaphysics since Aristotle, and has implications for many of the core notions of philosophy. Doubt Truth to Be a Liar explores these implications for truth, rationality, negation, and the nature of logic, and develops further the defense of dialetheism first mounted in Priest's In Contradiction, a second edition of which is also available.
  5. (1 other version)Towards non-being: the logic and metaphysics of intentionality.Graham Priest - 2005 - New York: Oxford University Press.
    Graham Priest presents a ground-breaking account of the semantics of intentional language--verbs such as "believes," "fears," "seeks," or "imagines." Towards Non-Being proceeds in terms of objects that may be either existent or non-existent, at worlds that may be either possible or impossible. The book will be of central interest to anyone who is concerned with intentionality in the philosophy of mind or philosophy of language, the metaphysics of existence and identity, the philosophy of fiction, the philosophy of mathematics, or cognitive (...)
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  6.  98
    Introduction to Non-Classical Logic.Graham Priest - 2001 - Cambridge and New York: Cambridge University Press.
    This is the first introductory textbook on non-classical propositional logics.
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  7. Beyond the Limits of Thought.Graham Priest - 1995 - Cambridge, England: Cambridge University Press.
    This is a philosophical investigation of the nature of the limits of thought. Drawing on recent developments in the field of logic, Graham Priest shows that the description of such limits leads to contradiction, and argues that these contradictions are in fact veridical. Beginning with an analysis of the way in which these limits arise in pre-Kantian philosophy, Priest goes on to illustrate how the nature of these limits was theorised by Kant and Hegel. He offers new interpretations of Berkeley's (...)
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  8. (1 other version)One: Being an Investigation Into the Unity of Reality and of its Parts, Including the Singular Object Which is Nothingness.Graham Priest - 2014 - Oxford, England: Oxford University Press.
    Graham Priest presents an original exploration of questions concerning the one and the many. He covers a wide range of issues in metaphysics--unity, identity, grounding, mereology, universals, being, intentionality and nothingness--and draws on Western and Asian philosophy as well as paraconsistent logic to offer a radically new treatment of unity.
  9. An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Bulletin of Symbolic Logic 14 (4):544-545.
     
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  10. Paraconsistent Logic: Essays on the Inconsistent.Graham Priest, Richard Routley & Jean Norman (eds.) - 1989 - Philosophia Verlag.
  11. Paraconsistent logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
  12. (2 other versions)Doubt Truth to Be a Liar.Graham Priest - 2007 - Studia Logica 87 (1):129-134.
  13. Thinking the impossible.Graham Priest - 2016 - Philosophical Studies 173 (10):2649-2662.
    The article looks at the structure of impossible worlds, and their deployment in the analysis of some intentional notions. In particular, it is argued that one can, in fact, conceive anything, whether or not it is impossible. Thus a semantics of conceivability requires impossible worlds.
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  14. (1 other version)Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
    A dialetheia is a sentence, A, such that both it and its negation, ¬A, are true (we shall talk of sentences throughout this entry; but one could run the definition in terms of propositions, statements, or whatever one takes as her favourite truth-bearer: this would make little difference in the context). Assuming the fairly uncontroversial view that falsity just is the truth of negation, it can equally be claimed that a dialetheia is a sentence which is both true and false.
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  15. Towards Non-Being: The Logic and Metaphysics of Intentionality.Graham Priest - 2005 - Bulletin of Symbolic Logic 14 (1):116-118.
     
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  16.  87
    Reality and its Structure: Essays in Fundamentality.Ricki Bliss & Graham Priest (eds.) - 2018 - Oxford, UK: Oxford University Press.
    Fifteen leading philosophers explore metaphysical foundationalism, the idea that reality has an over-arching hierarchical structure ordered by relations of metaphysical dependence, where chains of entities ordered by those dependence relations terminate in something fundamental.
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  17. An Introduction to Non-Classical Logic.Graham Priest - 2001 - Bulletin of Symbolic Logic 12 (2):294-295.
     
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  18.  41
    The Fifth Corner of Four: An Essay on Buddhist Metaphysics and the Catuskoti.Graham Priest - 2018 - Oxford, England: Oxford University Press.
    Graham Priest presents an exploration of the development of Buddhist metaphysics, which is viewed through the lens of the catuskoti. In its earliest and simplest form this is a logical/metaphysical principle which says that every claim is true, false, both, or neither; but Priest shows how the principle itself evolves as the metaphysics develops.
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  19. (2 other versions)What Is So Bad About Contradictions?Graham Priest - 1998 - Journal of Philosophy 95 (8):410–26.
  20. (2 other versions)Beyond the Limits of Thought.Graham Priest - 1995 - Philosophy 71 (276):308-310.
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  21. The law of non-contradiction : new philosophical essays.Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.) - 2004 - New York: 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 (...)
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  22. Sylvan's Box: A Short Story and Ten Morals.Graham Priest - 1997 - Notre Dame Journal of Formal Logic 38 (4):573-582.
    The paper contains a short story which is inconsistent, essentially so, but perfectly intelligible. The existence of such a story is used to establish various views about truth in fiction and impossible worlds.
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  23. On the Ternary Relation and Conditionality.Jc Beall, Ross T. Brady, J. Michael Dunn, A. P. Hazen, Edwin D. Mares, Robert K. Meyer, Graham Priest, Greg Restall, David Ripley, John Slaney & Richard Sylvan - 2012 - Journal of Philosophical Logic 41 (3):595 - 612.
    One of the most dominant approaches to semantics for relevant (and many paraconsistent) logics is the Routley-Meyer semantics involving a ternary relation on points. To some (many?), this ternary relation has seemed like a technical trick devoid of an intuitively appealing philosophical story that connects it up with conditionality in general. In this paper, we respond to this worry by providing three different philosophical accounts of the ternary relation that correspond to three conceptions of conditionality. We close by briefly discussing (...)
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  24.  69
    What Can't Be Said: Paradox and Contradiction in East Asian Thought.Yasuo Deguchi, Jay L. Garfield, Graham Priest & Robert H. Sharf - 2021 - New York, NY, United States of America: Oxford University Press. Edited by Jay L. Garfield, Graham Priest & Robert H. Sharf.
    "Paradox drives a good deal of philosophy in every tradition. In the Indian and Western traditions, there is a tendency among many philosophers to run from contradiction and paradox. If and when a contradiction appears in a theory, it is regarded as a sure sign that something has gone amiss. This aversion to paradox commits them, knowingly or not, to the view that reality must be consistent. In East Asia, however, philosophers have reacted to paradox differently. Many East Asian philosophers-both (...)
  25. Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219-241.
  26.  16
    Beyond Limits of Thought.Graham Priest - 2002 - Oxford, GB: Oxford University Press UK.
    Graham Priest presents an expanded edition of his exploration of the nature and limits of thought. Embracing contradiction and challenging traditional logic, he engages with issues across philosophical borders, from the historical to the modern, Eastern to Western, continental to analytic.
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  27. Modal Meinongianism and Object Theory.Francesco Berto, Filippo Casati, Naoya Fujikawa & Graham Priest - 2020 - Australasian Journal of Logic 17 (1):1-21.
    We reply to various arguments by Otavio Bueno and Edward Zalta (‘Object Theory and Modal Meinongianism’) against Modal Meinongianism, including that it presupposes, but cannot maintain, a unique denotation for names of fictional characters, and that it is not generalizable to higher-order objects. We individuate the crucial difference between Modal Meinongianism and Object Theory in the former’s resorting to an apparatus of worlds, possible and impossible, for the representational purposes for which the latter resorts to a distinction between two kinds (...)
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  28. The structure of the paradoxes of self-reference.Graham Priest - 1994 - Mind 103 (409):25-34.
  29. Nagarjuna and the limits of thought.Jay L. Garfield & Graham Priest - 2003 - Philosophy East and West 53 (1):1-21.
    : Nagarjuna seems willing to embrace contradictions while at the same time making use of classic reductio arguments. He asserts that he rejects all philosophical views including his own-that he asserts nothing-and appears to mean it. It is argued here that he, like many philosophers in the West and, indeed, like many of his Buddhist colleagues, discovers and explores true contradictions arising at the limits of thought. For those who share a dialetheist's comfort with the possibility of true contradictions commanding (...)
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  30.  57
    Deviant Logic.Graham Priest - 1975 - Philosophical Quarterly 25 (101):371.
  31.  78
    Yablo's paradox.Graham Priest - 1997 - Analysis 57 (4):236-242.
  32. Dialectic and Dialetheic.Graham Priest - 1989 - Science and Society 53 (4):388 - 415.
  33. Minimally inconsistent LP.Graham Priest - 1991 - Studia Logica 50 (2):321 - 331.
    The paper explains how a paraconsistent logician can appropriate all classical reasoning. This is to take consistency as a default assumption, and hence to work within those models of the theory at hand which are minimally inconsistent. The paper spells out the formal application of this strategy to one paraconsistent logic, first-order LP. (See, Ch. 5 of: G. Priest, In Contradiction, Nijhoff, 1987.) The result is a strong non-monotonic paraconsistent logic agreeing with classical logic in consistent situations. It is shown (...)
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  34. Metaphysical necessity: a skeptical perspective.Graham Priest - 2018 - Synthese 198 (Suppl 8):1873-1885.
    Many people hold that there is a distinctive notion of metaphysical necessity. In this paper I explain why I am skeptical about the view. I examine the sorts of considerations that are adduced for it, and argue that they meet equal and opposite considerations.
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  35. Relevant Restricted Quantification.J. C. Beall, Ross T. Brady, A. P. Hazen, Graham Priest & Greg Restall - 2006 - Journal of Philosophical Logic 35 (6):587-598.
    The paper reviews a number of approaches for handling restricted quantification in relevant logic, and proposes a novel one. This proceeds by introducing a novel kind of enthymematic conditional.
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  36. The Logical Structure of Dialectic.Graham Priest - 2023 - History and Philosophy of Logic 44 (2):200-208.
    1. Dialectic, in the sense of Hegel and Marx, is a dynamic process in which contradictions arise and are aufgehoben—an impossible word to translate into English, since it means both removed and pre...
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  37. What is philosophy?Graham Priest - 2006 - Philosophy 81 (2):189-207.
    ‘What is philosophy?’ is a question that every professional philosopher must ask themself sometimes. In a sense, of course, they know: they spend much time doing it. But in another sense, the answer to the question is not at all obvious. In the same way, any person knows by acquaintance what breathing is; but this does not mean that they know the nature of breathing: its mechanism and function. The nature of breathing, in this sense, is now well understood; the (...)
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  38. Inclosures, Vagueness, and Self-Reference.Graham Priest - 2010 - Notre Dame Journal of Formal Logic 51 (1):69-84.
    In this paper, I start by showing that sorites paradoxes are inclosure paradoxes. That is, they fit the Inclosure Scheme which characterizes the paradoxes of self-reference. Given that sorites and self-referential paradoxes are of the same kind, they should have the same kind of solution. The rest of the paper investigates what a dialetheic solution to sorites paradoxes is like, connections with a dialetheic solution to the self-referential paradoxes, and related issues—especially so called "higher order" vagueness.
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  39. Negation as cancellation, and connexive logic.Graham Priest - 1999 - Topoi 18 (2):141-148.
    Of the various accounts of negation that have been offered by logicians in the history of Western logic, that of negation as cancellation is a very distinctive one, quite different from the explosive accounts of modern "classical" and intuitionist logics, and from the accounts offered in standard relevant and paraconsistent logics. Despite its ancient origin, however, a precise understanding of the notion is still wanting. The first half of this paper offers one. Both conceptually and historically, the account of negation (...)
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  40. Fusion and Confusion.Graham Priest - 2015 - Topoi 34 (1):55-61.
    IntroductionCurry’s paradox is well known.See, e.g., Priest , ch. 6. It comes in both set theoretic and semantic versions. Here we will concentrate on the semantic versions. Historically, these have deployed the notion of truth. Those who wish to endorse an unrestricted T-schema have mainly endorsed a logic which rejects the principle of Absorption, \\models A\rightarrow B\). High profile logics of this kind are certain relevant logics; these have semantics which show how and why this principle is not valid. Of (...)
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  41.  49
    (1 other version)Plurivalent Logics.Graham Priest - 2014 - Australasian Journal of Logic 11 (1).
    In this paper, I will describe a technique for generating a novel kind of semantics for a logic, and explore some of its consequences. It would be natural to call the semantics produced by the technique in question ‘many-valued'; but that name is, of course, already taken. I call them, instead, ‘plurivalent'. In standard logical semantics, formulas take exactly one of a bunch of semantic values. I call such semantics ‘univalent'. In a plurivalent semantics, by contrast, formulas may take one (...)
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  42.  93
    On Transcending the Limits of Language.Graham Priest - 2023 - In Jens Pier (ed.), Limits of Intelligibility: Issues from Kant and Wittgenstein. London: Routledge.
    The first half of this article is critical: it develops an interpretation of Kant as trying, and failing, to limit our judgments to phenomena and abstain from making claims about noumena, and an interpretation of Wittgenstein as trying, and failing, to develop a theory of meaning that abstains from attempting to say the unsayable. On the reading offered, both Kant and Wittgenstein find themselves saying things that by their own lights cannot be said: in Kant’s case, claims about noumena, and (...)
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  43. Much Ado About Nothing.Graham Priest - 2014 - Australasian Journal of Logic 11 (2).
    The point of this paper is to bring together three topics: non-existent objects, mereology, and nothing. There are important inter-connections, which it is my aim to spell out, in the service of an account of the last of these.
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  44. Logic of paradox revisited.Graham Priest - 1984 - Journal of Philosophical Logic 13 (2):153 - 179.
  45. Systems of paraconsistent logic.Graham Priest & Richard Routley - 1989 - In Graham Priest, Richard Routley & Jean Norman (eds.), Paraconsistent Logic: Essays on the Inconsistent. Philosophia Verlag. pp. 142--155.
     
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  46. Chunk and permeate, a paraconsistent inference strategy. Part I: The infinitesimal calculus.Bryson Brown & Graham Priest - 2004 - Journal of Philosophical Logic 33 (4):379-388.
    In this paper we introduce a paraconsistent reasoning strategy, Chunk and Permeate. In this, information is broken up into chunks, and a limited amount of information is allowed to flow between chunks. We start by giving an abstract characterisation of the strategy. It is then applied to model the reasoning employed in the original infinitesimal calculus. The paper next establishes some results concerning the legitimacy of reasoning of this kind - specifically concerning the preservation of the consistency of each chunk (...)
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  47. Two dogmas of quineanism.Graham Priest - 1979 - Philosophical Quarterly 29 (117):289-301.
    The paper argues for two theses: a) there are certain truths which are analytic; b) these are true by convention. Much of the paper deals with quine's arguments against these claims. The paper starts by accepting quine's network theory of belief and arguing that this presupposes a certain concept of rule following. This may be used to define analyticity. The paper then discusses the conventional nature of rule following and argues that this implies the conventional truth of analytic truths. Quine's (...)
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  48. Some New Thoughts on Conditionals.Graham Priest - 2018 - Topoi 37 (3):369-377.
    The paper describes a new way of thinking about conditionals, in terms of information transfer between worlds. This way of looking at things provides an answer to some of the standard problems concerning conditionals, and undercuts the claim that indicative and subjunctive conditionals are distinct.
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  49. What is a non-normal world?Graham Priest - 1992 - Logique Et Analyse 35:291-302.
     
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  50.  75
    What If? The Exploration of an Idea.Graham Priest - 2017 - Australasian Journal of Logic 14 (1).
    A crucial question here is what, exactly, the conditional in the naive truth/set comprehension principles is. In 'Logic of Paradox', I outlined two options. One is to take it to be the material conditional of the extensional paraconsistent logic LP. Call this "Strategy 1". LP is a relatively weak logic, however. In particular, the material conditional does not detach. The other strategy is to take it to be some detachable conditional. Call this "Strategy 2". The aim of the present essay (...)
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