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In Contradiction: A Study of the Transconsistent

Oxford University Press (2006)

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  1. The Origins of the Use of the Argument of Trivialization in the Twentieth Century.M. Andrés Bobenrieth - 2010 - History and Philosophy of Logic 31 (2):111-121.
    The origin of paraconsistent logic is closely related with the argument, 'from the assertion of two mutually contradictory statements any other statement can be deduced'; this can be referred to as ex contradictione sequitur quodlibet. Despite its medieval origin, only by the 1930s did it become the main reason for the unfeasibility of having contradictions in a deductive system. The purpose of this article is to study what happened earlier: from Principia Mathematica to that time, when it became well established. (...)
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  • Priest’s Theory of Unity and the Superabundance of Gluons.Seahwa Kim - 2017 - International Journal of Philosophical Studies 25 (4):550-554.
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  • Priest’s Hyper-Dialetheist Solution to the Problem of Unity.Sungil Han - 2017 - International Journal of Philosophical Studies 25 (4):544-550.
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  • Entangled Gluons: Replies to Casati, Han, Kim, and Yagisawa.Graham Priest - 2017 - International Journal of Philosophical Studies 25 (4):560-568.
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  • Semantic Closure, Descriptions and Non-Triviality.Graham George Priest - 1999 - Journal of Philosophical Logic 28 (6):549--558.
    It is known that a semantically closed theory with description may well be trivial if the principles concerning denotation and descriptions are formulated in certain ways, even if the underlying logic is paraconsistent. This paper establishes the nontriviality of a semantically closed theory with a natural, but non-extensional, description operator.
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  • Review of "The Death of Philosophy: Reference and Self-Reference in Contemporary Thought". [REVIEW]Eric Dietrich - 2012 - Essays in Philosophy 13 (2):16.
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  • The Value of Apparently Incoherent Positions.Mark Ressler - manuscript
    Incoherence arguments are intended to demonstrate that some philosophical position should be rejected because it is fatally flawed. I review the kinds of fatal flaws targeted in incoherence arguments, and argue that such arguments are not conclusive against the position they target, but merely pose challenges that require greater imagination. Furthermore, I claim that apparently incoherent positions have an instrumental value in expanding the intellectual resources of philosophy.
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  • How to Refrain From Answering Kripke’s Puzzle.Lewis Powell - 2012 - Philosophical Studies 161 (2):287-308.
    In this paper, I investigate the prospects for using the distinction between rejection and denial to resolve Saul Kripke’s puzzle about belief. One puzzle Kripke presents in A Puzzle About Belief poses what would have seemed a fairly straightforward question about the beliefs of the bilingual Pierre, who is disposed to sincerely and reflectively assent to the French sentence Londres est jolie, but not to the English sentence London is pretty, both of which he understands perfectly well. The question to (...)
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  • Disquotation and Infinite Conjunctions.Lavinia Picollo & Thomas Schindler - 2017 - Erkenntnis (5):1-30.
    One of the main logical functions of the truth predicate is to enable us to express so-called ‘infinite conjunctions’. Several authors claim that the truth predicate can serve this function only if it is fully disquotational, which leads to triviality in classical logic. As a consequence, many have concluded that classical logic should be rejected. The purpose of this paper is threefold. First, we consider two accounts available in the literature of what it means to express infinite conjunctions with a (...)
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  • Contradiction Club: Dialetheism and the Social World.Matthew J. Cull & Emma Bolton - 2019 - Journal of Social Ontology 5 (2):169-180.
    Putative examples of true contradictions in the social world have been given by dialetheists such as Graham Priest, Richard Routley, and Val Plumwood. However, we feel that it has not been decisively argued that these examples are in fact true contradictions rather than merely apparent. In this paper we adopt a new strategy to show that there are some true contradictions in the social world, and hence that dialetheism is correct. The strategy involves showing that a group of sincere dialetheists (...)
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  • A Survey of Logical Realism.Tuomas E. Tahko - forthcoming - Synthese.
    Logical realism is a view about the metaphysical status of logic. Common to most if not all the views captured by the label ‘logical realism’ is that logical facts are mind- and language-independent. But that does not tell us anything about the nature of logical facts or about our epistemic access to them. The goal of this paper is to outline and systematize the different ways that logical realism could be entertained and to examine some of the challenges that these (...)
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  • Prom Full Blooded Platonism to Really Full Blooded Platonism.Jc Beall - 1999 - Philosophia Mathematica 7 (3):322-325.
    Mark Balaguer argues for full blooded platonism (FBP), and argues that FBP alone can solve Benacerraf's familiar epistemic challenge. I note that if FBP really can solve Benacerraf's epistemic challenge, then FBP is not alone in its capacity so to solve; RFBP—really full blooded platonism—can do the trick just as well, where RFBP differs from FBP by allowing entities from inconsistent mathematics. I also argue briefly that there is positive reason for endorsing RFBP.
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  • Against Yagisawa's Modal Realism.Mark Jago - 2013 - Analysis 73 (1):10-17.
    In his book Worlds and Individuals, Possible and Otherwise (2010), Takashi Yagisawa presents and argues for a novel and imaginative version of modal realism. It differs both from Lewis’s modal realism (Lewis 1986) and from actualists’ ersatz accounts (Adams 1974; Sider 2002). In this paper, I’ll present two arguments, each of which shows that Yagisawa’s metaphysics is incoherent. The first argument shows that the combination of Yagisawa’s metaphysics with impossibilia leads to triviality: every sentence whatsoever comes out true. This is (...)
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  • Rejectivism and the Challenge of Pragmatic Contradictions.Ben Martin - 2016 - Disputatio 8 (43):253-267.
    Rejectivism is one of the most influential embodiments of pragmatism within contemporary philosophy of logic, advancing an explanation of the meaning of a logical notion, negation, in terms of the speech act of denial. This paper offers a challenge to rejectivism by proposing that in virtue of explaining negation in terms of denial, the rejectivist ought to be able to explain the concept of contradiction partially in terms of denial. It is argued that any failure to achieve this constitutes an (...)
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  • Complete Symposium on Jc Beall's Christ – A Contradiction: A Defense of Contradictory Christology.Jc Beall, Timothy Pawl, Thomas McCall, A. J. Cotnoir & Sara L. Uckelman - 2019 - Journal of Analytic Theology 7 (1):400-577.
    The fundamental problem of Christology is the apparent contradiction of Christ as recorded at Chalcedon. Christ is human and Christ is divine. Being divine entails being immutable. Being human entails being mutable. Were Christ two different persons there’d be no apparent contradiction. But Chalcedon rules as much out. Were Christ only partly human or only partly divine there’d be no apparent contradiction. But Chalcedon rules as much out. Were the very meaning of ‘mutable’ and/or ‘immutable’ other than what they are, (...)
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  • Inconsistency Theories of Semantic Paradox.Douglas Patterson - 2009 - Philosophy and Phenomenological Research 79 (2):387 - 422.
    It is argued that a certain form of the view that the semantic paradoxes show that natural languages are "inconsistent" provides the best response to the semantic paradoxes. After extended discussions of the views of Kirk Ludwig and Matti Eklund, it is argued that in its strongest formulation the view maintains that understanding a natural language is sharing cognition of an inconsistent semantic theory for that language with other speakers. A number of aspects of this approach are discussed and a (...)
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  • Two Flavors of Curry’s Paradox.Jc Beall & Julien Murzi - 2013 - Journal of Philosophy 110 (3):143-165.
    In this paper, we distinguish two versions of Curry's paradox: c-Curry, the standard conditional-Curry paradox, and v-Curry, a validity-involving version of Curry's paradox that isn’t automatically solved by solving c-curry. A unified treatment of curry paradox thus calls for a unified treatment of both c-Curry and v-Curry. If, as is often thought, c-Curry paradox is to be solved via non-classical logic, then v-Curry may require a lesson about the structure—indeed, the substructure—of the validity relation itself.
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  • Sentential Truth, Denominalization, and the Liar: Aspects of the Modest Account of Truth*: Dialogue.Douglas Patterson - 2005 - Dialogue 44 (3):527-537.
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  • On Contradictory Christology: A Reply to Pawl’s ‘Explosive Theology’.Jc Beall - 2019 - Journal of Analytic Theology 7 (1):452-472.
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  • Minimalism, Gaps, and the Holton Conditional.J. Beall - 2000 - Analysis 60 (4):340-351.
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  • Frege’s Unmanageable Thing.Michael Price - 2018 - Grazer Philosophische Studien 95 (3):368-413.
    _ Source: _Volume 95, Issue 3, pp 368 - 413 Frege famously maintained that concepts are not objects. A key argument of Frege’s for this view is, in outline, as follows: if we are to account for the unity of thought, concepts must be deemed _unsaturated_; since objects are, by contrast, saturated entities, concepts cannot be objects. The author investigates what can be made of this argument and, in particular, of the unsaturated/saturated distinction it invokes. Systematically exploring a range of (...)
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  • Generalized Revenge.Julien Murzi & Lorenzo Rossi - 2020 - Australasian Journal of Philosophy 98 (1):153-177.
    Since Saul Kripke’s influential work in the 1970s, the revisionary approach to semantic paradox—the idea that semantic paradoxes must be solved by weakening classical logic—has been increasingly popular. In this paper, we present a new revenge argument to the effect that the main revisionary approaches breed new paradoxes that they are unable to block.
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  • Where the Paths Meet: Remarks on Truth and Paradox &Ast.Jc Beall - 2008 - Midwest Studies in Philosophy 32 (1):169-198.
    The study of truth is often seen as running on two separate paths: the nature path and the logic path. The former concerns metaphysical questions about the ‘nature’, if any, of truth. The latter concerns itself largely with logic, particularly logical issues arising from the truth-theoretic paradoxes. Where, if at all, do these two paths meet? It may seem, and it is all too often assumed, that they do not meet, or at best touch in only incidental ways. It is (...)
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  • Hierarchical Propositions.Bruno Whittle - 2017 - Journal of Philosophical Logic 46 (2):215-231.
    The notion of a proposition is central to philosophy. But it is subject to paradoxes. A natural response is a hierarchical account and, ever since Russell proposed his theory of types in 1908, this has been the strategy of choice. But in this paper I raise a problem for such accounts. While this does not seem to have been recognized before, it would seem to render existing such accounts inadequate. The main purpose of the paper, however, is to provide a (...)
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  • On Contradictory Christology: A Reply to McCall’s ‘Doctrinal Orthodoxy and Philosophical Heresy’.Jc Beall - 2019 - Journal of Analytic Theology 7 (1):488-507.
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  • Paradoxos Semânticos.Ricardo Santos - 2014 - Compêndio Em Linha de Problemas de Filosofia Analítica.
    The semantic paradoxes are a family of arguments – including the liar paradox, Curry’s paradox, Grelling’s paradox of heterologicality, Richard’s and Berry’s paradoxes of definability, and others – which have two things in common: first, they make an essential use of such semantic concepts as those of truth, satisfaction, reference, definition, etc.; second, they seem to be very good arguments until we see that their conclusions are contradictory or absurd. These arguments raise serious doubts concerning the coherence of the concepts (...)
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  • Quatro Desafios Céticos ao Saber.Luis R. G. Oliveira - forthcoming - In Antonio José Pêcego (ed.), Direito e Filosofia: Em Busca do Saber. Uberlândia, State of Minas Gerais, Brazil:
    O ceticismo é por vezes descartado como uma doutrina absurda e merecedora do seu lugar distante na antiguidade. Nada poderia ser menos correto. O ceticismo continua extremamente relevante para o pensamento filosófico e científico de hoje, servindo como um lembrete de que a sabedoria não é barata nem segura. Nesse texto, o meu objetivo principal é reproduzir o raciocínio das discussões clássicas sobre o ceticismo, mas de uma maneira coloquial e contemporânea. Após seguir as linhas de pensamento de Sexto Empírico, (...)
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  • 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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  • Knowledge Exclusion and the Rationality of Belief.Sean Donahue - 2019 - Analysis 79 (3):402-410.
    Two epistemic principles are Knowledge Exclusion and Belief Exclusion. Knowledge Exclusion says that it is necessarily the case that if an agent knows that p, then she does not believe that ∼p, and Belief Exclusion says that it is necessarily the case that if an agent believes that q, then she does not believe that ∼q. Many epistemologists find it reasonable to reject the latter principle and accept the former. I argue that this is in fact not reasonable by proposing (...)
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  • The Stories of Logics.Andreas Kapsner - 2019 - Australasian Journal of Logic 16 (4):133.
    In this paper, I investigate how far we can use stories to learn about logic. How can we engage with fiction in order to come to find out what logical principles are actually valid? Is that possible at all? I claim that it is, and I propose two case studies to make the point.
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  • On Artifacts and Truth-Preservation.Shawn Standefer - 2015 - Australasian Journal of Logic 12 (3):135-158.
    In Saving Truth from Paradox, Hartry Field presents and defends a theory of truth with a new conditional. In this paper, I present two criticisms of this theory, one concerning its assessments of validity and one concerning its treatment of truth-preservation claims. One way of adjusting the theory adequately responds to the truth-preservation criticism, at the cost of making the validity criticism worse. I show that in a restricted setting, Field has a way to respond to the validity criticism. I (...)
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  • Deontic Logic as a Study of Conditions of Rationality in Norm-Related Activities.Berislav Žarnić - 2016 - In Olivier Roy, Allard Tamminga & Malte Willer (eds.), Deontic Logic and Normative Systems. College Publications. pp. 272-287.
    The program put forward in von Wright's last works defines deontic logic as ``a study of conditions which must be satisfied in rational norm-giving activity'' and thus introduces the perspective of logical pragmatics. In this paper a formal explication for von Wright's program is proposed within the framework of set-theoretic approach and extended to a two-sets model which allows for the separate treatment of obligation-norms and permission norms. The three translation functions connecting the language of deontic logic with the language (...)
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  • Vagueness as Indecision.J. Robert G. Williams - 2016 - Aristotelian Society Supplementary Volume 90 (1):285-309.
    This essay explores the thesis that for vague predicates, uncertainty over whether a borderline instance x of red/large/tall/good is to be understood as practical uncertainty over whether to treat x as red/large/tall/good. Expressivist and quasi-realist treatments of vague predicates due to John MacFarlane and Daniel Elstein provide the stalking-horse. It examines the notion of treating/counting a thing as F , and links a central question about our attitudes to vague predications to normative evaluation of plans to treat a thing as (...)
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  • Counterpossibles.Barak Krakauer - 2012 - Dissertation, University of Massachusetts
    Counterpossibles are counterfactuals with necessarily false antecedents. The problem of counterpossibles is easiest to state within the "nearest possible world" framework for counterfactuals: on this approach, a counterfactual is true when the consequent is true in the "nearest" possible world where the antecedent is true. Since counterpossibles have necessarily false antecedents, there is no possible world where the antecedent is true. On the approach favored by Lewis, Stalnaker, Williamson, and others, counterpossibles are all trivially true. I introduce several arguments against (...)
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  • Qual a motivação para se defender uma teoria causal da memória?César Schirmer Dos Santos - 2018 - In Juliano Santos do Carmo & Rogério F. Saucedo Corrêa (eds.), Linguagem e cognição. Pelotas: NEPFil. pp. 63-89.
    Este texto tem como objetivo apresentar a principal motivação filosófica para se defender uma teoria causal da memória, que é explicar como pode um evento que se deu no passado estar relacionado a uma experiência mnêmica que se dá no presente. Para tanto, iniciaremos apresentando a noção de memória de maneira informal e geral, para depois apresentar elementos mais detalhados. Finalizamos apresentando uma teoria causal da memória que se beneficia da noção de veritação (truthmaking).
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  • Paradoxical Desires.Ethan Jerzak - 2019 - Proceedings of the Aristotelian Society 119 (3):335-355.
    I present a paradoxical combination of desires. I show why it's paradoxical, and consider ways of responding. The paradox saddles us with an unappealing trilemma: either we reject the possibility of the case by placing surprising restrictions on what we can desire, or we deny plausibly constitutive principles linking desires to the conditions under which they are satisfied, or we revise some bit of classical logic. I argue that denying the possibility of the case is unmotivated on any reasonable way (...)
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  • The Content of Deduction.Mark Jago - 2013 - Journal of Philosophical Logic 42 (2):317-334.
    For deductive reasoning to be justified, it must be guaranteed to preserve truth from premises to conclusion; and for it to be useful to us, it must be capable of informing us of something. How can we capture this notion of information content, whilst respecting the fact that the content of the premises, if true, already secures the truth of the conclusion? This is the problem I address here. I begin by considering and rejecting several accounts of informational content. I (...)
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  • The Cognitivist Account of Meaning and the Liar Paradox.Mark Pinder - 2015 - Philosophical Studies 172 (5):1221-1242.
    A number of theorists hold that literal, linguistic meaning is determined by the cognitive mechanism that underpins semantic competence. Borg and Larson and Segal defend a version of the view on which semantic competence is underpinned by the cognition of a truth-conditional semantic theory—a semantic theory which is true. Let us call this view the “cognitivist account of meaning”. In this paper, I discuss a surprisingly serious difficulty that the cognitivist account of meaning faces in light of the liar paradox. (...)
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  • Relations in Lewis's Framework Without Atoms: A Correction.A. Hazen - 2000 - Analysis 60 (4):351-353.
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  • Distinguishing Universals From Particulars.D. Ehring - 2004 - Analysis 64 (4):326-332.
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  • Analetheism and Dialetheism.J. Beall & D. Ripley - 2004 - Analysis 64 (1):30-35.
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  • When Epistemic Closure Does and Does Not Fail: A Lesson From the History of Epistemology.T. A. Warfield - 2004 - Analysis 64 (1):35-41.
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  • The Inexpressibility of Validity.Julien Murzi - 2014 - Analysis 74 (1):65-81.
    Tarski's Undefinability of Truth Theorem comes in two versions: that no consistent theory which interprets Robinson's Arithmetic (Q) can prove all instances of the T-Scheme and hence define truth; and that no such theory, if sound, can even express truth. In this note, I prove corresponding limitative results for validity. While Peano Arithmetic already has the resources to define a predicate expressing logical validity, as Jeff Ketland has recently pointed out (2012, Validity as a primitive. Analysis 72: 421-30), no theory (...)
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  • The Company Kept by Cut Abstraction (and its Relatives).S. Shapiro - 2011 - Philosophia Mathematica 19 (2):107-138.
    This article concerns the ongoing neo-logicist program in the philosophy of mathematics. The enterprise began life, in something close to its present form, with Crispin Wright’s seminal [1983]. It was bolstered when Bob Hale [1987] joined the fray on Wright’s behalf and it continues through many extensions, objections, and replies to objections . The overall plan is to develop branches of established mathematics using abstraction principles in the form: Formula where a and b are variables of a given type , (...)
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  • The Number of Planets is Not a Number.J. Biro - 2010 - Analysis 70 (4):622-631.
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  • Reply to Roache.S. Langford - 2010 - Analysis 70 (4):676-681.
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  • Getting Noncognitivism Out of the Woods. [REVIEW]Mark Schroeder - 2010 - Analysis 70 (1):129-139.
    (No abstract is available for this citation).
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  • Deontic Logic and Normative Systems.Olivier Roy, Allard Tamminga & Malte Willer (eds.) - 2016 - London, UK: College Publications.
    The biennial DEON conferences are designed to promote interdisciplinary cooperation amongst scholars interested in linking the formal-logical study of normative concepts and normative systems with computer science, artificial intelligence, linguistics, philosophy, organization theory and law. In addition to these general themes, DEON 2016 encouraged a special focus on the topic "Reasons, Argumentation and Justification.".
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  • Nonclassical Minds and Indeterminate Survival.J. Robert G. Williams - 2014 - Philosophical Review 123 (4):379-428.
    Revisionary theories of logic or truth require revisionary theories of mind. This essay outlines nonclassically based theories of rational belief, desire, and decision making, singling out the supervaluational family for special attention. To see these nonclassical theories of mind in action, this essay examines a debate between David Lewis and Derek Parfit over what matters in survival. Lewis argued that indeterminacy in personal identity allows caring about psychological connectedness and caring about personal identity to amount to the same thing. The (...)
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  • Three Schools of Paraconsistency.Koji Tanaka - 2003 - Australasian Journal of Logic 1:28-42.
    A logic is said to be paraconsistent if it does not allow everything to follow from contradictory premises. There are several approaches to paraconsistency. This paper is concerned with several philosophical positions on paraconsistency. In particular, it concerns three ‘schools’ of paraconsistency: Australian, Belgian and Brazilian. The Belgian and Brazilian schools have raised some objections to the dialetheism of the Australian school. I argue that the Australian school of paraconsistency need not be closed down on the basis of the Belgian (...)
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