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  1. 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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  2. 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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  3. On the Possibility of Metaphysical Dialetheism.Katherine Valde - unknown - Australasian Journal of Logic 18 (4).
    Metaphysical dialetheism is the belief that there are contradictions in the world. I will argue that metaphysical dialetheism is, rightfully understood, the most controversial form of dialetheism, and further that it remains an open possibility. Dialetheism can come in many different forms, but all share the same belief in “dialethas”. Depending on how we understand what it means to be a contradiction, we will develop correspondingly different understandings of dialetheism. I will explore what different versions of the position might look (...)
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  4. The Proper Treatment of Identity in Dialetheic Metaphysics.Nicholas K. Jones - forthcoming - The Philosophical Quarterly.
    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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  5. One Heresy and One Orthodoxy: On Dialetheism, Dimathematism, and the Non-normativity of Logic.Heinrich Wansing - forthcoming - Erkenntnis:1-25.
    In this paper, Graham Priest’s understanding of dialetheism, the view that there exist true contradictions, is discussed, and various kinds of metaphysical dialetheism are distinguished between. An alternative to dialetheism is presented, namely a thesis called ‘dimathematism’. It is pointed out that dimathematism enables one to escape a slippery slope argument for dialetheism that has been put forward by Priest. Moreover, dimathematism is presented as a thesis that is helpful in rejecting the claim that logic is a normative discipline.
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  6. Semantics for Pure Theories of Connexive Implication.Yale Weiss - forthcoming - Review of Symbolic Logic:1-16.
    In this article, I provide Urquhart-style semilattice semantics for three connexive logics in an implication-negation language (I call these “pure theories of connexive implication”). The systems semantically characterized include the implication-negation fragment of a connexive logic of Wansing, a relevant connexive logic recently developed proof-theoretically by Francez, and an intermediate system that is novel to this article. Simple proofs of soundness and completeness are given and the semantics is used to establish various facts about the systems (e.g., that two of (...)
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  7. Impossible Worlds, by Francesco Berto and Mark Jago. [REVIEW]Koji Tanaka - 2022 - Mind 131 (521):292-301.
    Book Review of Impossible Worlds, by Francesco Berto and Mark Jago. Oxford: Oxford University Press, 2019.
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  8. Islamic Contradictory Theology . . . Is There Any Such Thing?Abbas Ahsan - 2021 - Logica Universalis 15 (2).
    The application of paraconsistent logics to theological contradictions is a fascinating move. Jc Beall’s (J Anal Theol, 7(1): 400–439, 2019) paper entitled ‘Christ—A Contradiction: A Defense of ‘Contradictory Christology’ is a notable example. Beall proposes a solution to the fundamental problem of Christology. His solution aims at making the case, and defending the viability of, what he has termed, ‘Contradictory Christology’. There are at least two essential components of Beall’s ‘Contradictory Christology’. These include the dogmatic statements of Chalcedon and FDE (...)
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  9. Islamic Mystical Dialetheism: Resolving the Paradox of God’s Unknowability and Ineffability.Abbas Ahsan - 2021 - Philosophia:1-40.
    Dialetheism is the view that some contradictions are true. Resorting to either metaphysical dialetheism or semantic dialetheism may seem like an appropriate resolve to certain theological contradictions. At least for those who concede to theological contradictions, and take dialetheism seriously. However, I demonstrate that neither of these types of dialetheism would serve to be amenable in resolving an Islamic theological contradiction. This is a theological contradiction that I refer to as ‘the paradox of an unknowable and ineffable God’. As a (...)
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  10. 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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  11. Divine Foreknowledge and Human Freedom: Exploring a Glut-Theoretic Account.Mike DeVito - 2021 - Religions 12 (9).
    This essay marks the first steps towards a viable glut-theoretic (contradictory) solution to the longstanding foreknowledge and free will dilemma. Specifically, I offer a solution to the dilemma that accommodates omniscience (foreknowledge) and human freedom (as the ability to do otherwise) in a simple, flat-footed way. This goal is accomplished via viewing the theological fatalist argument not as a problem, but as a sound argument: omniscience and human free will are contradictory and by dropping to a weaker underlying account of (...)
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  12. The Birth of Dialetheism.Elena Ficara - 2021 - History and Philosophy of Logic 42 (3):281-296.
    The aim of this paper is to lay bare the roots of dialetheism in discussions about dialectics and dialectical logic at the time of the first development of paraconsistent logics. In other words, th...
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  13. Mathematical Perspectives on Liar Paradoxes.José-Luis Usó-Doménech, Josué-Antonio Nescolarde-Selva, Lorena Segura-Abad, Kristian Alonso-Stenberg & Hugh Gash - 2021 - Logica Universalis 15 (3):251-269.
    The liar paradox is a famous and ancient paradox related to logic and philosophy. It shows it is perfectly possible to construct sentences that are correct grammatically and semantically but that cannot be true or false in the traditional sense. In this paper the authors show four approaches to interpreting paradoxes that illustrate the influence of: the levels of language, their belonging to indeterminate compatible propositions or indeterminate propositions, being based on universal antinomy and the theory of dialetheism.
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  14. Friedrich Engels: Emergenz und Dialektik.Kaan Kangal - 2020 - Widerspruch 70:43-56.
  15. 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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  16. Logical Revision by Counterexamples: A Case Study of the Paraconsistent Counterexample to Ex Contradictione Quodlibet.Seungrak Choi - 2019 - In Proceedings of the 14th and 15th Asian Logic Conferences. pp. 141-167.
    It is often said that a correct logical system should have no counterexample to its logical rules and the system must be revised if its rules have a counterexample. If a logical system (or theory) has a counterexample to its logical rules, do we have to revise the system? In this paper, focussing on the role of counterexamples to logical rules, we deal with the question. -/- We investigate two mutually exclusive theories of arithmetic - intuitionistic and paraconsistent theories. The (...)
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  17. Aristotle’s Argument From Truth in Metaphysics Γ 4.Graham Clay - 2019 - Analysis 79 (1):17-24.
    Some of Aristotle’s statements about the indemonstrability of the Principle of Non-Contradiction (PNC) in Metaphysics Γ 4 merit more attention. The consensus seems to be that Aristotle provides two arguments against the demonstrability of the PNC, with one located in Γ 3 and the other found in the first paragraph of Γ 4. In this article, I argue that Aristotle also relies upon a third argument for the same conclusion: the argument from truth. Although Aristotle does not explicitly state this (...)
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  18. Reseña de ‘Wittgenstein's Metaphilosophy’ de Paul Horwich 248p (2013) (revisión revisada 2019).Michael Richard Starks - 2019 - In Delirios Utópicos Suicidas en el Siglo 21 La filosofía, la naturaleza humana y el colapso de la civilización Artículos y reseñas 2006-2019 4TH Edición. Las Vegas, NV USA: Reality Press. pp. 145-167.
    The first group of articles attempt to give some insight into how we behave that is reasonably free of theoretical delusions. In the next three groups I comment on three of the principal delusions preventing a sustainable world— technology, religion and politics (cooperative groups). People believe that society can be saved by them, so I provide some suggestions in the rest of the book as to why this is unlikely via short articles and reviews of recent books by well-known writers. (...)
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  19. Замечания о невозможности, неполноте Paraconsistency, Нерешающость, Случайность вычислительности, парадокс, и неопределенность в Чайтин, Витгенштейн, Хофштадтер Вольперт, Дориа, да Коста, Годель, Сирл, Родыч Берто, Флойд, Мойал-Шаррок и Янофски.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    Принято считать, что невозможность, неполнота, Парапоследовательность, Несоответствие, Случайность, вычислительность, парадокс, неопределенность и пределы разума являются разрозненными научными физическими или математическими вопросами, имеющими мало или ничего общего. Я полагаю, что они в значительной степени стандартные философские проблемы (т.е. языковые игры), которые были в основном решены Витгенштейном более 80 лет назад. -/- Я предоставляю краткое резюме некоторых из основных выводов двух из самых выдающихся студентов поведения о Fсовременности, Людвиг Витгенштейн и Джон Сирл, на логическую структуру преднамеренности (ум, язык, поведение), принимая в качестве (...)
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  20. ملاحظات على استحالة, عدم اكتمال, بارااتساق,عدم تحديد, عشوائية, الحوسبة, مفارقة, وعدم اليقين في Chaitin, Wittgenstein, Hofstadter, Wolpert, دوريا, دا كوستا, جوديل, سيرل, روديش, بيرتو, فلويد, مويال شاروك ويانوفسكي.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    ويعتقد عادة أن الاستحالة، وعدم اكتمال، وParaconsistency، وعدم تحديد، العشوائية، والحوسبة، والمفارقة، وعدم اليقين وحدود العقل هي قضايا علمية مادية أو رياضية متباينة وجود القليل أو لا شيء في المشتركه. أقترح أنها مشاكل فلسفية قياسية إلى حد كبير (أي ألعاب اللغة) التي تم حلها في الغالب من قبل فيتغنشتاين أكثر من 80years منذ. -/- "إن ما نميل إلى قوله في مثل هذه الحالة هو، بطبيعة الحال، ليس فلسفة، ولكنه مادة خام. وهكذا، على سبيل المثال، ما يميل عالم الرياضيات إلى قوله (...)
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  21. ¿Qué significa paraconsistente, indescifrable, aleatorio, computable e incompleto? Una revisión de la Manera de Godel: explota en un mundo indecible (Godel’s Way: exploits into an undecidable world) por Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa 160P (2012) (revisión revisada 2019).Michael Richard Starks - 2019 - In Observaciones Sobre Imposibilidad, Incompleta, Paracoherencia,Indecisión,Aleatoriedad, Computabilidad, Paradoja E Incertidumbre En Chaitin, Wittgenstein, Hofstadter, Wolpert, Doria, Dacosta, Godel, Searle, Rodych, Berto,Floyd, Moyal-Sharrock Y Yanofsky. Las Vegas, NV USA: Reality Press. pp. 44-63.
    En ' Godel’s Way ', tres eminentes científicos discuten temas como la indecisión, la incompleta, la aleatoriedad, la computabilidad y la paraconsistencia. Me acerco a estas cuestiones desde el punto de vista de Wittgensteinian de que hay dos cuestiones básicas que tienen soluciones completamente diferentes. Existen las cuestiones científicas o empíricas, que son hechos sobre el mundo que necesitan ser investigados observacionalmente y cuestiones filosóficas en cuanto a cómo el lenguaje se puede utilizar inteligiblemente (que incluyen ciertas preguntas en matemáticas (...)
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  22. Priest’s Anti-Exceptionalism, Candrakīrti and Paraconsistency.Koji Tanaka - 2019 - In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Dordrecht: Springer Verlag. pp. 127-138.
    Priest holds anti-exceptionalism about logic. That is, he holds that logic, as a theory, does not have any exceptional status in relation to the theories of empirical sciences. Crucial to Priest’s anti-exceptionalism is the existence of ‘data’ that can force the revision of logical theory. He claims that classical logic is inadequate to the available data and, thus, needs to be revised. But what kind of data can overturn classical logic? Priest claims that the data is our intuitions about the (...)
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  23. Interpolation in 16-Valued Trilattice Logics.Reinhard Muskens & Stefan Wintein - 2018 - Studia Logica 106 (2):345-370.
    In a recent paper we have defined an analytic tableau calculus PL_16 for a functionally complete extension of Shramko and Wansing's logic based on the trilattice SIXTEEN_3. This calculus makes it possible to define syntactic entailment relations that capture central semantic relations of the logic---such as the relations |=_t, |=_f, and |=_i that each correspond to a lattice order in SIXTEEN_3; and |=, the intersection of |=_t and |=_f,. -/- It turns out that our method of characterising these semantic relations---as (...)
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  24. A Normative Argument Against Explosion.Mark Pinder - 2017 - Thought: A Journal of Philosophy 6 (1):61-70.
    One strategy for defending paraconsistent logics involves raising ‘normative arguments’ against the inference rule explosion. Florian Steinberger systematically criticises a wide variety of formulations of such arguments. I argue that, for one such formulation, Steinberger's criticisms fail. I then sketch an argument, available to those who deny dialetheism, in defence of the formulation in question.
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  25. Ambivalence, Emotional Perceptions, and the Concern with Objectivity.Hili Razinsky - 2017 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 4 (2):211-228.
    Hili Razinsky, free downlad at link. ABSTRACT: Emotional perceptions are objectivist (objectivity-directed or cognitive) and conscious, both attributes suggesting they cannot be ambivalent. Yet perceptions, including emotional perceptions of value, allow for strictly objectivist ambivalence in which a person unitarily perceives the object in mutually undermining ways. Emotional perceptions became an explicandum of emotion for philosophers who are sensitive to the unique conscious character of emotion, impressed by the objectivist character of perceptions, and believe that the perceptual account solves a (...)
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  26. What Do Paraconsistent, Undecidable, Random, Computable and Incomplete Mean? A Review of Godel's Way: Exploits Into an Undecidable World by Gregory Chaitin, Francisco A Doria , Newton C.A. Da Costa 160p (2012).Michael Starks - 2017 - Philosophy, Human Nature and the Collapse of Civilization -- Articles and Reviews 2006-2017 3rd Ed 686p(2017).
    In ‘Godel’s Way’ three eminent scientists discuss issues such as undecidability, incompleteness, randomness, computability and paraconsistency. I approach these issues from the Wittgensteinian viewpoint that there are two basic issues which have completely different solutions. There are the scientific or empirical issues, which are facts about the world that need to be investigated observationally and philosophical issues as to how language can be used intelligibly (which include certain questions in mathematics and logic), which need to be decided by looking at (...)
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  27. Logic, Reasoning and Revision.Patrick Allo - 2016 - Theoria 82 (1):3-31.
    The traditional connection between logic and reasoning has been under pressure ever since Gilbert Harman attacked the received view that logic yields norms for what we should believe. In this article I first place Harman's challenge in the broader context of the dialectic between logical revisionists like Bob Meyer and sceptics about the role of logic in reasoning like Harman. I then develop a formal model based on contemporary epistemic and doxastic logic in which the relation between logic and norms (...)
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  28. Review: Graham Priest, One: Being an Investigation Into the Unity of Reality and of its Parts, Including the Singular Object Which is Nothingness. [REVIEW]Chad McIntosh - 2016 - Philosophy in Review 36 (3):130-132.
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  29. Saving Proof From Paradox: Gödel’s Paradox and the Inconsistency of Informal Mathematics.Fenner Stanley Tanswell - 2016 - In Peter Verdee & Holger Andreas (eds.), Logical Studies of Paraconsistent Reasoning in Science and Mathematics. Springer. pp. 159-173.
    In this paper I shall consider two related avenues of argument that have been used to make the case for the inconsistency of mathematics: firstly, Gödel’s paradox which leads to a contradiction within mathematics and, secondly, the incompatibility of completeness and consistency established by Gödel’s incompleteness theorems. By bringing in considerations from the philosophy of mathematical practice on informal proofs, I suggest that we should add to the two axes of completeness and consistency a third axis of formality and informality. (...)
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  30. What Is an Inconsistent Truth Table?Zach Weber, Guillermo Badia & Patrick Girard - 2016 - Australasian Journal of Philosophy 94 (3):533-548.
    ABSTRACTDo truth tables—the ordinary sort that we use in teaching and explaining basic propositional logic—require an assumption of consistency for their construction? In this essay we show that truth tables can be built in a consistency-independent paraconsistent setting, without any appeal to classical logic. This is evidence for a more general claim—that when we write down the orthodox semantic clauses for a logic, whatever logic we presuppose in the background will be the logic that appears in the foreground. Rather than (...)
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  31. The Logic of Enlightenment.Dave S. Henley - 2015 - Iff Books.
    This work proposes a logical analysis for the kind of knowledge or insight provided by Buddhist enlightenment, which is often presented only in the form of contradictions and riddles. The comprehension of contradictions is perplexing to most western logic, and yet developed here is a theory demonstrating how a non truth-functional interpretation can be attached to certain naturalistic contradictions. In this way, the logical and psychological status of Enlightenment can be analysed in a manner consistent with the claims of much (...)
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  32. Some (Critical) Remarks on Priest's Dialetheist Reading of Nagarjuna.Goran Kardaš - 2015 - European Journal of Analytic Philosophy 11 (2):35--49.
    Graham Priest in collaboration with J. Garfield and Y. Deguchi (henceforth: DGP) wrote several articles and responses arguing that the Buddhist philosopher Nagarjuna was a dialetheist thinker, i.e. that he not just identified and exposed certain contradictions but that he embraced it. These contradictions, according to DGP, always occur ``at the limits of thought'' i.e. when a certain view at the same time transcends the limit (``transcendence'') and is within that limit (``closure''). In Nagarjuna's case, these limital contradictions arise at (...)
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  33. Hegel's Dialectics: Logic, Consciousness and History.Nenad Miščević - 2015 - European Journal of Analytic Philosophy 11 (2):21--34.
    Graham Priest has brilliantly analyzed Hegel's dialectics, as far as its logical and abstract ontological (metaphysical) structure goes, and has successfully related it to his own logically sophisticated dialethism. After briefly reminding the reader of his account, the paper turns to the other, not purely logical side of Hegel's dialectics, and points to his strategy of bringing together ontological, anthropological and historical matters together with the logical structure, in a manner quite foreign to analytic tradition. It concludes with the proposal (...)
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  34. Speaking of the Ineffable, East and West.Graham Priest - 2015 - European Journal of Analytic Philosophy 11 (2):6--20.
    There is a phenomenon that often arises when a philosophy argues that there are limits to thought/language, and tries to justify this view by giving reasons as to why there are things about which one cannot think/talk---in the process appearing to give the lie to the claim. I will be concerned with that phenomenon. We will look at some of philosophies that fall into this camp (those of Wittgenstein, Heidegger, and Mahayana Buddhism). We will then see that Buddhist philosophy has (...)
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  35. Assertion, Denial, Acceptance, Rejection, Symmetry, and Paradox.Greg Restall - 2015 - In Colin R. Caret & Ole T. Hjortland (eds.), Foundations of Logical Consequence. Oxford University Press. pp. 310-321.
    Proponents of “truth-value glut” responses to the paradoxes of self-reference, such as Priest [6, 7] argue that “truth-value gap” analyses of the paradoxes fall foul of the strengthened liar paradox: “this sentence is not true.” If we pay attention to the role of assertion and denial and the behaviour of negation in both “gap” and “glut” analyses, we see that the situation with these approaches has a pleasing symmetry: gap approaches take some denials to fail to be expressible by negation, (...)
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  36. A Social Pragmatic View on the Concept of Normative Consistency.Berislav Žarnić - 2015 - European Journal of Analytic Philosophy 11 (2):56--78.
    The programmatic statement put forward in von Wright's last works on deontic logic introduces the perspective of logical pragmatics, which has been formally explicated here and extended so to include the role of norm-recipient as well as the role of norm-giver. Using the translation function from the language of deontic logic to the language of set-theoretical approach, the connection has been established between the deontic postulates, on one side, and the perfection properties of the norm-set and the counter-set, on the (...)
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  37. 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 (...)
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  38. On the Possibility of Realist Dialetheism.Luis Estrada-Gonzáles - 2014 - SATS 15 (2):197-217.
    Realist dialetheism is the view that there are contradictions in reality. One argument against this idea says that it is impossible because it has to make room for the possibility of a trivial reality, which is metaphysically impossible. Another argument against it says that the metaphysical structure of reality is such that it is impossible to have contradictions in it. I argue here that both arguments fail to establish the impossibility of realist dialetheism because they are based on a misconception (...)
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  39. Constructive Methodological Deflationism, Dialetheism and the Liar.David Liggins - 2014 - Analysis 74 (4):566-574.
    Thanks to the work of Kendall Walton, appeals to the notion of pretence (or make-believe) have become popular in philosophy. Now the notion has begun to appear in accounts of truth. My aim here is to assess one of these accounts, namely the ‘constructive methodological deflationism’ put forward by Jc Beall. After introducing the view, I argue that Beall does not manage to overcome the problem of psychological implausibility. Although Beall claims that constructive methodological deflationism supports dialetheism, I argue that (...)
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  40. Dialectics, Infinity and the Absolute: Response to Skempton.Paul Livingston - 2014 - International Journal of Philosophical Studies 22 (3):402-408.
  41. The Justice of Contradiction.Angelica Nuzzo - 2014 - In Elena Ficara (ed.), Contradictions: Logic, History, Actuality. De Gruyter. pp. 109-126.
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  42. An Outline for Ambivalence of Value Judgment.Hili Razinsky - 2014 - Journal of Value Inquiry 48 (3):469-488.
    I shall argue, however, that there can be genuine ambivalence between a judgment that A is v and a judgment that A is not v. Such ambivalence may, moreover, be precisely of the kind that appears to be either impossible or destructive for ethics. Objectivist ambivalence, as we shall call it, is neither an accidental nor peripheral feature of our value discourse. At the same time it is not destructive to ethics or to value judgments in general, but only to (...)
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  43. Acceptable Contradictions: Pragmatics or Semantics? A Reply to Cobreros Et Al. [REVIEW]Sam Alxatib, Peter Pagin & Uli Sauerland - 2013 - Journal of Philosophical Logic 42 (4):619-634.
    Naive speakers find some logical contradictions acceptable, specifically borderline contradictions involving vague predicates such as Joe is and isn’t tall. In a recent paper, Cobreros et al. (J Philos Logic, 2012) suggest a pragmatic account of the acceptability of borderline contradictions. We show, however, that the pragmatic account predicts the wrong truth conditions for some examples with disjunction. As a remedy, we propose a semantic analysis instead. The analysis is close to a variant of fuzzy logic, but conjunction and disjunction (...)
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  44. 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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  45. Dialectic and Dialetheism.Elena Ficara - 2013 - History and Philosophy of Logic 34 (1):35-52.
    In this article, I consider the possibility of interpreting Hegel’s dialectic as dialetheism. After a first basic recapitulation about the meaning of the words ‘dialetheism’ and ‘dialectic’ and a consideration of Priest’s own account of the relation between dialectical and dialetheic logic in 1989, I discuss some controversial issues, not directly considered by Priest. As a matter of fact, the reflection on paraconsistent logics and dialetheism has enormously grown in recent years. In addition, the reception of Hegel’s logic and metaphysics (...)
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  46. Non-Contradiction: Oh Yeah and so What?: Nelson Non-Contradiction.Mark T. Nelson - 2013 - Think 12 (34):87-91.
    ExtractThe logical Law of Non-contradiction – that a proposition cannot be both true and false – enjoys a special, perhaps uniquely privileged, status in philosophy. Most philosophers think that finding a contradiction – the assertion of both P and not-P – in one's reasoning is the best possible evidence that something has gone wrong, the ultimate refutation of a position. But why should this be so? What reason do we have to believe it?Send article to KindleTo send this article to (...)
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  47. Non-Contradiction: Oh Yeah and So What?Mark T. Nelson - 2013 - Think 12 (34):87-91.
    The logical Law of Non-contradiction – that a proposition cannot be both true and false – enjoys a special, perhaps uniquely privileged, status in philosophy. Most philosophers think that finding a contradiction – the assertion of both P and not-P – in one's reasoning is the best possible evidence that something has gone wrong, the ultimate refutation of a position. But why should this be so? What reason do we have to believe it? In this paper, I address these questions.
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  48. Too Good to Be “Just True”.Marcus Rossberg - 2013 - Thought: A Journal of Philosophy 2 (1):1-8.
    Paraconsistent and dialetheist approaches to a theory of truth are faced with a problem: the expressive resources of the logic do not suffice to express that a sentence is just true—i.e., true and not also false—or to express that a sentence is consistent. In his recent book, Spandrels of Truth, Jc Beall proposes a ‘just true’-operator to identify sentences that are true and not also false. Beall suggests seven principles that a ‘just true’-operator must fulfill, and proves that his operator (...)
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  49. Contradictions in Dōgen.Koji Tanaka - 2013 - Philosophy East and West 63 (3):322-334.
    In "The Way of the Dialetheist: Contradictions in Buddhism," Yasuo Deguchi, Jay L. Garfield, and Graham Priest argue that some (though not all) of the contradictions that appear in Buddhist texts should be accepted. An examination of their argument depends on what sort(s) of negation is (are) used in the texts. In order to see apparently contradictory statements as affirmations of true contradictions, we must assume that 'not' (or its variance) is used as a contradiction-forming operator. In this article, the (...)
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  50. Paraconsistency on the Rocks of Dialetheism.Conrad Amus - 2012 - Logique Et Analyse 55 (217):3-21.
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