Results for 'Dialetheism'

51 found
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  1. Dialetheism and the A-Theory.Sam Baron - forthcoming - Philosophical Quarterly.
    According to dialetheism, there are some true contradictions. According to the A-theory, the passage of time is a mind-independent feature of reality. On some A-theories, the passage of time involves the movement of the present. I show that by appealing to dialetheism one can explain why the present moves. I then argue that A-theorists should adopt this explanation. To do this, I defend two claims. First, that the dialetheic explanation is an improvement on the only other explanation available (...)
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  2. Quietism, Dialetheism, and the Three Moments of Hegel's Logic.G. Anthony Bruno - 2023 - In Robb Dunphy & Toby Lovat (eds.), Metaphysics as a Science in Classical German Philosophy. New York, NY: Routledge.
    The history of philosophy risks a self-opacity whereby we overestimate or underestimate our proximity to prior modes of thinking. This risk is relevant to assessing Hegel’s appropriation by McDowell and Priest. McDowell enlists Hegel for a quietist answer to the problem with assuming that concepts and reality belong to different orders, viz., how concepts are answerable to the world. If we accept Hegel’s absolute idealist view that the conceptual is boundless, this problem allegedly dissolves. Priest enlists Hegel for a dialetheist (...)
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  3. Is Dialetheism an Idealism? The Russellian Fallacy and the Dialetheist’s Dilemma.Francesco Berto - 2007 - Dialectica 61 (2):235–263.
    In his famous work on vagueness, Russell named “fallacy of verbalism” the fallacy that consists in mistaking the properties of words for the properties of things. In this paper, I examine two (clusters of) mainstream paraconsistent logical theories – the non-adjunctive and relevant approaches –, and show that, if they are given a strongly paraconsistent or dialetheic reading, the charge of committing the Russellian Fallacy can be raised against them in a sophisticated way, by appealing to the intuitive reading of (...)
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  4. Dialetheism and Modus Tollens.Ben Blumson & Theresa Helke - 2021 - The Reasoner 15 (4):30.
    Suppose that some contradictions are true – for example, that as I walk through the door, I’m inside and I’m not inside. Then we argue 'if I'm walking through the door, I'm inside; I'm not inside; therefore, I'm not walking through the door' is an invalid instance of modus tollens.
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  5. Eliminativism, Dialetheism and Moore's Paradox.John N. Williams - 2013 - Theoria 81 (1):27-47.
    John Turri gives an example that he thinks refutes what he takes to be “G. E. Moore's view” that omissive assertions such as “It is raining but I do not believe that it is raining” are “inherently ‘absurd'”. This is that of Ellie, an eliminativist who makes such assertions. Turri thinks that these are perfectly reasonable and not even absurd. Nor does she seem irrational if the sincerity of her assertion requires her to believe its content. A commissive counterpart of (...)
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  6. Dialetheism and the Problem of Evil.Ben Blumson - 2023 - In Soraj Hongladarom, Jeremiah Joven Joaquin & Frank J. Hoffman (eds.), Philosophies of Appropriated Religions: Perspectives from Southeast Asia. Springer Nature Singapore. pp. 69-79.
    According to dialetheism, some contradictions are true. In a recent paper, Aaron Cotnoir has suggested that theists who are also dialetheists can resolve the paradox of the stone by accepting a contradiction, and arguing that God both can and can't make the stone. However, Zach Weber has replied that dialetheism is no help for avoiding one of the most serious problems for theism, namely the problem of evil. In this paper, I argue the situation is even worse than (...)
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  7. Dialetheism and distributed sorites.Ben Blumson - 2023 - Synthese 202 (4):1-18.
    Noniterative approaches to the sorites paradox accept single steps of soritical reasoning, but deny that these can be combined into valid chains of soritical reasoning. The distributed sorites is a puzzle designed to undermine noniterative approaches to the sorites paradox, by deriving an inconsistent conclusion using only single steps, but not chains, of soritical reasoning. This paper shows how a dialetheist version of the noniterative approach, the strict-tolerant approach, also solves the distributed sorites paradox, at no further cost, by accepting (...)
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  8. 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 (...)
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  9. Metametametaphysics and Dialetheism.Suki Finn - 2017 - Australasian Journal of Logic 14 (1):128-146.
    This paper reflects on metametaphysics and as such develops a metametameta-physical view: that quietist metametaphysics requires dialetheism, and in turn a paraconsistent logic. I demonstrate this using Carnap’s metametaphysical position in his 'Empiricism, Semantics and Ontology' as an example, with regard to how it exhibits self-reference and results in inconsistency. I show how applying Carnap’s position to itself produces a dilemma, both horns of which lead to a contradiction. Such inconsistency commonly arises from meta-theories with global scope, as the (...)
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  10. Graham Priest's «Dialetheism» -- Is It Althogether True?Lorenzo Peña - 1996 - Sorites 7:28-56.
    Graham Priest's book In Contradiction is a bold defense of the existence of true contradictions. Although Priest's case is impressive, and many of his arguments are correct, his approach is not the only one allowing for true contradictions. As against Priest's, there is at least one contradictorialist approach which establishes a link between true contradictions and degrees of truth. All in all, such an alternative is more conservative, closer to mainstream analytical philosophy. The two approaches differ as regards the floodgate (...)
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  11.  9
    How to Defend the Law of Non-Contradiction without Incurring the Dialetheist’s Charge of (Viciously) Begging the Question.Marco Simionato - 2024 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 31 (2):141-182.
    According to some critics, Aristotle’s elenctic defence (elenchos, elenchus) of the Law of Non-Contradiction (Metaphysics IV) would be ineffective because it viciously begs the question. After briefly recalling the elenctic refutation of the denier of the Law of Non-Contradiction, I will first focus on Filippo Costantini’s objection to the elenchus, which, in turn, is based on the dialetheic account of negation developed by Graham Priest. Then, I will argue that there is at least one reading of the elenchus that might (...)
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  12. 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 (...)
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  13. What is a Contradiction?Patrick Grim - 2004 - In Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.), The Law of Non-Contradiction : New Philosophical Essays. Oxford University Press. pp. 49--72.
    The Law of Non-Contradiction holds that both sides of a contradiction cannot be true. Dialetheism is the view that there are contradictions both sides of which are true. Crucial to the dispute, then, is the central notion of contradiction. My first step here is to work toward clarification of that simple and central notion: Just what is a contradiction?
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  14. Conjunctive paraconsistency.Franca D’Agostini - 2021 - Synthese 199 (3-4):6845-6874.
    This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. While (...)
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  15. Embedding Denial.David Ripley - 2015 - In Colin R. Caret & Ole T. Hjortland (eds.), Foundations of Logical Consequence. Oxford University Press. pp. 289-309.
    Suppose Alice asserts p, and the Caterpillar wants to disagree. If the Caterpillar accepts classical logic, he has an easy way to indicate this disagreement: he can simply assert ¬p. Sometimes, though, things are not so easy. For example, suppose the Cheshire Cat is a paracompletist who thinks that p ∨ ¬p fails (in familiar (if possibly misleading) language, the Cheshire Cat thinks p is a gap). Then he surely disagrees with Alice's assertion of p, but should himself be unwilling (...)
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  16. On falsifying empirical contradictions.Luis Felipe Bartolo Alegre - manuscript
    The possibility of testing contradictory statements about the factual world has been suggested but barely discussed in the relevant literature. Here I argue that if we assume that there are contradictory observation sentences, it would be logically impossible to falsify them. Accordingly, the extension of the dialetheist programme into empirical science would be non-advisable, for it would introduce logically unfalsifiable claims.
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  17.  58
    A Solução Paraconsistente ao Paradoxo do Mentiroso.R. Ongaratto - 2023 - Alamedas 11 (2):75-88.
    The article makes an analysis of a paraconsistent solution to the liar paradox, namely, Priest’s solution. Paraconsistent logics are characterized, in opposition to classical logic, as rejecting the Principle of Explosion, which says that “from a contradiction everything follows”. Priest, in turn, is a dialetheist, an interpretation of paraconsistency that admits the truth of contradictions. His answer to the liar paradox, therefore, accepts the liar sentence as being a truly paradoxical sentence using LP, the “Logic of Paradox. Then, we propose (...)
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  18. True Knowledge.Peter Baumann - 2021 - Logos and Episteme (4):463-467.
    That knowledge is factive, that is, that knowledge that p requires that p, has for a long time typically been treated as a truism. Recently, however, some authors have raised doubts about and arguments against this claim. In a recent paper in this journal, Michael Shaffer presents new arguments against the denial of the factivity of knowledge. This article discusses one of Shaffer’s objections: the one from “inconsistency and explosion”. I discuss two potential replies to Shaffer’s problem: dialetheism plus (...)
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  19. The Theory of Aḥwāl and Arguments against the Law of Non-Contradiction.Behnam Zolghadr - 2020 - In Yearbook of the Maimonides Centre for Advanced Studies. Berlin, Germany: pp. 31-52.
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  20. Science Generates Limit Paradoxes.Eric Dietrich & Chris Fields - 2015 - Axiomathes 25 (4):409-432.
    The sciences occasionally generate discoveries that undermine their own assumptions. Two such discoveries are characterized here: the discovery of apophenia by cognitive psychology and the discovery that physical systems cannot be locally bounded within quantum theory. It is shown that such discoveries have a common structure and that this common structure is an instance of Priest’s well-known Inclosure Schema. This demonstrates that science itself is dialetheic: it generates limit paradoxes. How science proceeds despite this fact is briefly discussed, as is (...)
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  21. The proper treatment of identity in dialetheic metaphysics.Nicholas K. Jones - 2020 - The Philosophical Quarterly 70 (278):65-92.
    According to one prominent strand of mainstream logic and metaphysics, identity is indistinguishability. Priest has recently argued that this permits counterexamples to the transitivity and substitutivity of identity within dialetheic metaphysics, even in paradigmatically extensional contexts. This paper investigates two alternative regimentations of indistinguishability. Although classically equivalent to the standard regimentation on which Priest focuses, these alternatives are strictly stronger than it in dialetheic settings. Both regimentations are transitive, and one satisfies substitutivity. It is argued that both regimentations provide better (...)
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  22. Towards a philosophical understanding of the logics of formal inconsistency.Walter Carnielli & Abílio Rodrigues - 2015 - Manuscrito 38 (2):155-184.
    In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non-contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically justify (...)
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  23. DLEAC and the Rejection Paradox.Massimiliano Carrara & Andrea Strollo - 2021 - Journal of Applied Logics 8 (2):377-396.
    In this paper we first develop a Dialetheic Logic with Exclusive Assumptions and Conclusions, DLEAC. We adopt the semantics of the logic of paradox (LP) extended with a notion of model suitable for DLEAC, and we modify its proof theory by refining the notions of assumption and conclusion, which are understood as speech acts. We introduce a new paradox – the rejectability paradox – first informally, then formally. We then provide its derivation in an extension of DLEAC contanining the rejectability (...)
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  24. Buddhist Shipping Containers.Koji Tanaka - 2023 - In Christian Coseru (ed.), Reasons and Empty Persons: Mind, Metaphysics, and Morality: Essays in Honor of Mark Siderits. Springer. pp. 295-305.
    In his book review of Graham Priest's The Fifth Corner of Four, Mark Siderits, while criticising Priest's philology, suggests that Priest's work is 'of considerable interest' for two reasons. First, 'when two independent traditions use similar methods to work on similar issues, it is always possible that one may have hit on approaches that the other missed'. Second, 'the decentering that can be induced by looking at another tradition may trigger fresh insights, even if those insights are not ones that (...)
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  25. The Law of Non-Contradiction as a Metaphysical Principle.Tuomas E. Tahko - 2009 - Australasian Journal of Logic 7:32-47.
    The goals of this paper are two-fold: I wish to clarify the Aristotelian conception of the law of non-contradiction as a metaphysical rather than a semantic or logical principle, and to defend the truth of the principle in this sense. First I will explain what it in fact means that the law of non-contradiction is a metaphysical principle. The core idea is that the law of non-contradiction is a general principle derived from how things are in the world. For example, (...)
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  26. Paraconsistency: Logic and Applications.Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.) - 2013 - Dordrecht, Netherland: 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 (...)
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  27. Between the Void and Emptiness: Ontological Paradox and Spectres of Nihilism in Alain Badiou’s Being and Event_ and Graham Priest’s _One.Georgie Newson - 2023 - Open Philosophy 6 (1).
    In this study, I reconstruct and compare Alain Badiou’sBeing and Event(2005) and Graham Priest’sOne(2014), arguing that the ontologies pursued within the two texts are intriguingly analogous in a number of ways. Both Badiou and Priest are committed to thinking through classically ontological problems without denying the validity of the paradoxes they raise; both regard Plato’sParmenidesas an early and formative account of these paradoxes; both establish conclusions to the effect that unity – or “oneness” – is indeed a contradictory phenomenon; and (...)
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  28. Swyneshed, Paradox and the Rule of Contradictory Pairs.Stephen Read - manuscript
    Roger Swyneshed, in his treatise on insolubles (logical paradoxes), dating from the early 1330s, drew three notorious corollaries of his solution. The third states that there is a contradictory pair of propositions both of which are false. This appears to contradict the Rule of Contradictory Pairs, which requires that in every such pair, one must be true and the other false. Looking back at Aristotle's treatise De Interpretatione, we find that Aristotle himself, immediately after defining the notion of a contradictory (...)
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  29. A Survey of Logical Realism.Tuomas E. Tahko - 2021 - Synthese 198 (5):4775-4790.
    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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  30.  19
    Inclosure and Intolerance.Sergi Oms & Elia Zardini - 2021 - Notre Dame Journal of Formal Logic 62 (2):201-220.
    Graham Priest has influentially claimed that the Sorites paradox is an Inclosure paradox, concluding that his favored dialetheic solution to the Inclosure paradoxes should be extended to the Sorites paradox. We argue that, given Priest’s dialetheic solution to the Sorites paradox, the argument purporting to show that that paradox is an Inclosure is unsound, and discuss some issues surrounding this fact.
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  31. On philosophical motivations for paraconsistency: an ontology-free interpretation of the logics of formal inconsistency.Walter Carnielli & Abilio Rodrigues - manuscript
    In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non- contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically (...)
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  32. On false antecedent in dialetheic entailment.Massimiliano Carrara - 2019 - In Luca Bellotti, Luca Gili, Enrico Moriconi & Giacomo Turbanti (eds.), Third Pisa Colloquium in Logic, Language and Epistemology. Essays in Honour of Mauro Mariani and Carlo Marletti. Pisa: Edizioni ETS. pp. 59-68.
    Aim of the paper is to analyze Priest’s dialetheic solution to Curry’s paradox. It has been shown that a solution refuting ABS, accepting MPP and consequently refuting CP meets some difficulties. Here I just concentrate on one difficulty: one obtains the validity of MPP just using FA in the metalanguage, an invalid rule for a dialetheist.
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  33. The Metaphysical Interpretation of Logical Truth.Tuomas Tahko - 2014 - In Penelope Rush (ed.), The Metaphysics of Logic: Logical Realism, Logical Anti-Realism and All Things In Between. Cambridge: Cambridge University Press. pp. 233-248.
    The starting point of this paper concerns the apparent difference between what we might call absolute truth and truth in a model, following Donald Davidson. The notion of absolute truth is the one familiar from Tarski’s T-schema: ‘Snow is white’ is true if and only if snow is white. Instead of being a property of sentences as absolute truth appears to be, truth in a model, that is relative truth, is evaluated in terms of the relation between sentences and models. (...)
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  34. Bad Concepts, Bilateral Contents.Michael Deigan - 2022 - Ergo: An Open Access Journal of Philosophy 8:595-614.
    I argue that one need not be an inferentialist in order to model inconsistent concepts, contrary to what some have thought. Representationalists can do so by adopting a form of bilateralism about contents. It remains unclear, however, why conceptual inconsistency would constitute a defect to be eliminated, rather than a vindication of dialetheism to be embraced. I suggest some answers to explore that involve accepting a descriptive form of dialetheism but denying its normative forms.
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  35. Social Inconsistency.Thomas Brouwer - 2022 - Ergo: An Open Access Journal of Philosophy 9.
    Though the social world is real and objective, the way that social facts arise out of other facts is in an important way shaped by human thought, talk and behaviour. Building on recent work in social ontology, I describe a mechanism whereby this distinctive malleability of social facts, combined with the possibility of basic human error, makes it possible for a consistent physical reality to ground an inconsistent social reality. I explore various ways of resisting the prima facie case for (...)
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  36. The Logical and Philosophical Foundations for the Possibility of True Contradictions.Ben Martin - 2014 - Dissertation, University College London
    The view that contradictions cannot be true has been part of accepted philosophical theory since at least the time of Aristotle. In this regard, it is almost unique in the history of philosophy. Only in the last forty years has the view been systematically challenged with the advent of dialetheism. Since Graham Priest introduced dialetheism as a solution to certain self-referential paradoxes, the possibility of true contradictions has been a live issue in the philosophy of logic. Yet, despite (...)
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  37. Über Poppers Forderung nach Widerspruchlosigkeit.Luis Felipe Bartolo Alegre - 2019 - Felsefe Arkivi 51:31-36.
    Popper restricted his definition of falsifiability to consistent theories through what we may call his requirement of consistency. His main argument was that an inconsistent theory does not distinguish the sentences that corroborate it from those that contradict it, for all sentences follow from it. I propose to replace this requirement by the more basic requirement that the classes of potential corroborators and falsifiers of a theory do not overlap. This results not only in an unrestricted definition of falsifiability but (...)
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  38. The Paradox of Consciousness and the Realism/Anti-Realism Debate.Eric Dietrich & Julietta Rose - 2009 - Logos Architekton 3 (1):7-37.
    Beginning with the paradoxes of zombie twins, we present an argument that dualism is both true and false. We show that avoiding this contradiction is impossible. Our diagnosis is that consciousness itself engenders this contradiction by producing contradictory points of view. This result has a large effect on the realism/anti-realism debate, namely, it suggests that this debate is intractable, and furthermore, it explains why this debate is intractable. We close with some comments on what our results mean for metaphysics and (...)
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  39. A Quantificational Analysis of the Liar Paradox.Matheus Silva - manuscript
    It seems that the most common strategy to solve the liar paradox is to argue that liar sentences are meaningless and, consequently, truth-valueless. The other main option that has grown in recent years is the dialetheist view that treats liar sentences as meaningful, truth-apt and true. In this paper I will offer a new approach that does not belong in either camp. I hope to show that liar sentences can be interpreted as meaningful, truth-apt and false, but without engendering any (...)
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  40. Limits of Intelligibility: Issues from Kant and Wittgenstein.Jens Pier (ed.) - 2023 - London: Routledge.
    The essays in this volume investigate the question of where, and in what sense, the bounds of intelligible thought, knowledge, and speech are to be drawn. Is there a way in which we are limited in what we think, know, and say? And if so, does this mean that we are constrained – that there is something beyond the ken of human intelligibility of which we fall short? Or is there another way to think about these limits of intelligibility – (...)
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  41. Paradox is Here to Stay: A Review of Graham Priest's Beyond the Limits of Thought[REVIEW]Blaine Snow - manuscript
    Get used to it: paradox and contradiction are inherent in human experience. Australian philosopher of logic Graham Priest takes us on a historical tour of paradox and limitation in human conception, expression, cognition, and calculation. Along the way we meet the many, mostly western, philosophers who've struggled with expressing the inexpressible and conceiving the inconceivable. Priest arrives at a general schema for representing these limit encounters from the standpoint of contemporary logic.
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  42. A paradox of rejection.Thomas N. P. A. Brouwer - 2014 - Synthese 191 (18):4451-4464.
    Given any proposition, is it possible to have rationally acceptable attitudes towards it? Absent reasons to the contrary, one would probably think that this should be possible. In this paper I provide a reason to the contrary. There is a proposition such that, if one has any opinions about it at all, one will have a rationally unacceptable set of propositional attitudes—or if one doesn’t, one will end up being cognitively imperfect in some other manner. The proposition I am concerned (...)
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  43. On modal Meinongianism.Thibaut Giraud - 2016 - Synthese 193 (10).
    Modal Meinongianism is a form of Meinongianism whose main supporters are Graham Priest and Francesco Berto. The main idea of modal Meinongianism is to restrict the logical deviance of Meinongian non-existent objects to impossible worlds and thus prevent it from “contaminating” the actual world: the round square is round and not round, but not in the actual world, only in an impossible world. In the actual world, supposedly, no contradiction is true. I will show that Priest’s semantics, as originally formulated (...)
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  44. On the Logic of Values.Manuel Dries - 2010 - Journal of Nietzsche Studies 39 (1):30-50.
    This article argues that Nietzsche's transvaluation project refers not to a mere inversion or negation of a set of values but, instead, to a different conception of what a value is and how it functions. Traditional values function within a standard logical framework and claim legitimacy and bindingness based on exogenous authority with absolute extension. Nietzsche regards this framework as unnecessarily reductive in its attempted exclusion of contradiction and real opposition among competing values and proposes a nonstandard, dialetheic model of (...)
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  45. Colyvan’s Dilemma: Inconsistency, Theoretic Virtues, and Scientific Practice (4th edition).Johnny Kennedy - 2022 - Undergraduate Philosophy Journal of Australasia 4 (1):21-39.
    Mark Colyvan formulates a puzzle about belief in inconsistent entities. As a scientific realist, Colyvan refers to salient instances of inconsistencies in our best science and demonstrates how an indispensability argument may justify belief in an inconsistent entity. Colyvan’s indispensability argument presents a two-horned dilemma: either scientific realists are committed to the possibility of warranted belief in inconsistent objects, or we have a reductio ad absurdum, bringing realism into a crisis. Firstly, this paper follows Graham Priest by opposing the received (...)
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  46. Existence Without Existence: A Unified Theory of Being.Caleb M. - manuscript
    In this theory, we explore the interconnectedness of existence and non-existence through subjectivity and objectivity. We provide numerous logical proofs and explanations for existence and nonexistence and the historical context surrounding them, noting that philosophers have been unable to choose between subjectivity and objectivity for centuries. We contend that traditional logic could be revamped to accommodate the inner connectedness of paradoxes like existence without existence, primarily subjectivity and objectivity, which are incorporated in all. (e.g., dialetheism and paraconsistent logic.) It (...)
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  47.  6
    Peut-on tester si le mouvement est contradictoire ?Luis F. Bartolo Alegre - forthcoming - Revue de Théologie Et de Philosophie.
    Priest's theory of motion is based on Leibniz's Continuity Condition (LCC), which states that any state that exists at each instant in a continuous set of moments also exists at its temporal limit. If we accept the CCL, a free-falling pen would have to be simultaneously in motion and at rest at the instant of change: the critical moment when it hits the ground, thus passing from the state of motion to that of rest. This seems to be a contradictory (...)
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  48. Can we test inconsistent empirical theories?Luis Felipe Bartolo Alegre - manuscript
    This paper discusses the logical possibility of testing inconsistent empirical theories. The main challenge for answering this affirmatively is to avoid that the inconsistent consequences of a theory both corroborate it and falsify it. I answer affirmatively by showing that we can define a class of empirical sentences whose truth would force us to abandon such inconsistent theory: the class of its potential rejecters. Despite this, I show that the observational contradictions implied by a theory could only be verified (provided (...)
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  49. La contrastación de teorías inconsistentes no triviales.Luis Felipe Bartolo Alegre - 2020 - Dissertation, Universidad Nacional Mayor de San Marcos
    This dissertation offers a proof of the logical possibility of testing empirical/factual theories that are inconsistent, but non-trivial. In particular, I discuss whether or not such theories can satisfy Popper's principle of falsifiablility. An inconsistent theory Ƭ closed under a classical consequence relation implies every statement of its language because in classical logic the inconsistency and triviality are coextensive. A theory Ƭ is consistent iff there is not a α such that Ƭ ⊢ α ∧ ¬α, otherwise it is inconsistent. (...)
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  50. A model-theoretic analysis of Fidel-structures for mbC.Marcelo E. Coniglio - 2019 - In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Cham, Switzerland: Springer Verlag. pp. 189-216.
    In this paper the class of Fidel-structures for the paraconsistent logic mbC is studied from the point of view of Model Theory and Category Theory. The basic point is that Fidel-structures for mbC (or mbC-structures) can be seen as first-order structures over the signature of Boolean algebras expanded by two binary predicate symbols N (for negation) and O (for the consistency connective) satisfying certain Horn sentences. This perspective allows us to consider notions and results from Model Theory in order to (...)
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