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What's So Bad About Contradictions?

In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction. Clarendon Press (1998)

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  1. Question-relative knowledge for minimally rational agents.Francisca Silva - 2024 - Inquiry: An Interdisciplinary Journal of Philosophy:1-31.
    Agents know some but not all logical consequences of what they know. Agents seem to be neither logically omniscient nor logically incompetent. Yet finding an intermediate standard of minimal rationality has proven difficult. In this paper, I take suggestions found in the literature (Lewis, 1988; Hawke, Özgün and Berto, 2020; Plebani and Spolaore, 2021) and join the forces of subject matter and impossible worlds approaches to devise a new solution to this quandary. I do so by combining a space of (...)
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  • 'Self-Refutation' in Early Chinese Argumentative Prose: Sidelights on the Linguistic Prehistory of Incipient Philosophy.Wolfgang Behr - 2018 - In Raji C. Steineck, Ralph Weber, Robert Gassmann & Elena Lange (eds.), Concepts of Philosophy in Asia and the Islamic world Vol. 1: China and Japan. Boston: Brill. pp. 141-187.
    ‘Self-Refutation’ in Early Chinese Argumentative Prose: Sidelights on the Linguistic Prehistory of Incipient Philosophy in: R.C. Steineck, R. Weber, R.H. Gassmann & E.L. Lange, eds., Concepts of Philosophy in Asia and the Islamic world, Leiden: Brill/Rodopi, 2018.
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  • Truth, Authenticity, and Rationality.Ronald de Sousa - 2007 - Dialectica 61 (3):323-345.
    Emotions are Janus‐faced. They tell us something about the world, and they tell us something about ourselves. This suggests that we might speak of a truth, or perhaps two kinds of truths of emotions, one of which is about self and the other about conditions in the world. On some views, the latter comes by means of the former. Insofar as emotions manifest our inner life, however, we are more inclined to speak of authenticity rather than truth. What is the (...)
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  • Concepts of Philosophy.Raji C. Steineck (ed.) - 2018 - Boston; Leiden: Brill.
    The contributions to Concepts of Philosophy in Asia and the Islamic World reflect upon the problems implied in the received notions of philosophy in the respective scholarly literatures. They ask whether, and for what reasons, a text should be categorized as a philosophical text (or excluded from the canon of philosophy), and what this means for the concept of philosophy. The focus on texts and textual corpora is central because it makes authors expose their claims and arguments in direct relation (...)
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  • Explanation, Entailment, and Leibnizian Cosmological Arguments.Christopher G. Weaver - 2009 - Metaphysica 10 (1):97-108.
    I argue that there are Leibnizian-style cosmological arguments for the existence of God which start from very mild premises which affirm the mere possibility of a principle of sufficient reason. The utilization of such premises gives a great deal of plausibility to such types of argumentation. I spend the majority of the paper defending three major objections to such mild premises viz., a reductio argument from Peter van Inwagen and William Rowe, which proffers and defends the idea that a necessary (...)
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  • Why Be Rational?Nicholas Waghorn - 2023 - Acta Analytica 38 (2):335-353.
    The question ‘Why be rational?’ could be calling into question a commitment to respond to the requirements of subjective rationality, or could be calling into question a commitment to respond to objective reasons. I examine the question in this second sense, placing it in the mouth of the arationalist — an individual who has not ruled out the possibility of not acting or believing on the basis of objective reasons. In evaluating responses to the arationalist’s question, I consider the replies (...)
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  • To Know them, Remove their Information: An Outer Methodological Approach to Biophysics and Humanities.Arturo Tozzi - 2022 - Philosophia 51 (2):977-1005.
    Set theory faces two difficulties: formal definitions of sets/subsets are incapable of assessing biophysical issues; formal axiomatic systems are complete/inconsistent or incomplete/consistent. To overtake these problems reminiscent of the old-fashioned principle of individuation, we provide formal treatment/validation/operationalization of a methodological weapon termed “outer approach” (OA). The observer’s attention shifts from the system under evaluation to its surroundings, so that objects are investigated from outside. Subsets become just “holes” devoid of information inside larger sets. Sets are no longer passive containers, rather (...)
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  • ‘Hoist with His Owne Petar’:1 On the Undoing of a Liar Paradox.Jordan Howard Sobel - 2008 - Theoria 74 (2):115-145.
    Abstract: A Liar would express a proposition that is true and not true. A Liar Paradox would, per impossibile, demonstrate the reality of a Liar. To resolve a Liar Paradox it is sufficient to make out of its demonstration a reductio of the existence of the proposition that would be true and not true, and to "explain away" the charm of the paradoxical contrary demonstration. Persuasive demonstrations of the Liar Paradox in this paper trade on allusive scope-ambiguities of English definite (...)
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  • Truthmaking for Meinongians.Maciej Sendłak - 2022 - Synthese 200 (1):1-20.
    This paper aims to introduce Meinongian Abstractionism (MA), i.e. a view on the metaphysics of truthmaking and modality. This approach is based on the notion of objectives—one of the key elements of Alexius Meinong’s Theory of Objects. In the light of it, worlds are interpreted in terms of sets of subsistent and non-subsistent objectives. This—along with Meinong’s characterization of objectives—provides a ground for possible as well as impossible worlds. One of the consequences of Meinongain Abstractionism is a reformulation of the (...)
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  • No Justificatory Closure without Truth.Francesco Praolini - 2019 - Australasian Journal of Philosophy 97 (4):715-726.
    It is well-known that versions of the lottery paradox and of the preface paradox show that the following three principles are jointly inconsistent: (Sufficiency) very probable propositions are justifiably believable; (Conjunction Closure) justified believability is closed under conjunction introduction; (No Contradictions) propositions known to be contradictory are not justifiably believable. This paper shows that there is a hybrid of the lottery and preface paradoxes that does not require Sufficiency to arise, but only Conjunction Closure and No Contradictions; and it argues (...)
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  • The ignorance behind inconsistency toleration.María del Rosario Martínez-Ordaz - 2020 - Synthese 198 (9):8665-8686.
    Inconsistency toleration is the phenomenon of working with inconsistent information without threatening one’s rationality. Here I address the role that ignorance plays for the tolerance of contradictions in the empirical sciences. In particular, I contend that there are two types of ignorance that, when present, can make epistemic agents to be rationally inclined to tolerate a contradiction. The first is factual ignorance, understood as temporary undecidability of the truth values of the conflicting propositions. The second is what I call “ignorance (...)
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  • In Defence of Dialetheism: A Reply to Beziau and Tkaczyk.Ben Martin - forthcoming - Logic and Logical Philosophy.
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  • Understanding as a Source of Justification.Joachim Horvath - 2020 - Mind 129 (514):509-534.
    The traditional epistemological approach towards judgments like BACHELORS ARE UNMARRIED or ALL KNOWLEDGE IS TRUE is that they are justified or known on the basis of understanding alone. In this paper, I develop an understanding-based account which takes understanding to be a sufficient source of epistemic justification for the relevant judgments. Understanding-based accounts face the problem of the rational revisability of almost all human judgments. Williamson has recently developed a reinforced version of this problem: the challenge from expert revisability. This (...)
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  • Colonising ‘Free’ Will.Bernard Forjwuor - 2020 - Theoria: A Journal of Social and Political Theory 67 (164):48-85.
    While colonialism, in general, is a contested concept, as are the conditions that constitute its negation, political decolonisation seems to be a relatively settled argument. Where such decolonisation occurred, political independence, and its attendant democratic system and the undergirding of the rule of law, signify the self-evidentiality of such political decolonisation. This article rethinks this self-evidentiality of political independence as necessarily a decolonial political accomplishment in Ghana. This critical enterprise opens the documents that founded the newly independent state to alternative (...)
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  • Fallibility and Fruitfulness of Deductions.Cesare Cozzo - 2021 - Erkenntnis (7):1-17.
    The fallibility of deduction is the thesis that a thoughtful speaker-reasoner can wrongly believe that an inference is deductively valid. The author presents an argument to the effect that the fallibility of deduction is incompatible with the widespread view that deduction is epistemically unfruitful (the conclusion is contained in the premises, and the transition from premises to conclusion never extends knowledge). If the fallibility of deduction is a fact, the argument presented is a refutation of the doctrine of the unfruitfulness (...)
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  • 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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  • Conceivability and possibility: some dilemmas for Humeans.Francesco Berto & Tom Schoonen - 2018 - Synthese 195 (6):2697-2715.
    The Humean view that conceivability entails possibility can be criticized via input from cognitive psychology. A mainstream view here has it that there are two candidate codings for mental representations (one of them being, according to some, reducible to the other): the linguistic and the pictorial, the difference between the two consisting in the degree of arbitrariness of the representation relation. If the conceivability of P at issue for Humeans involves the having of a linguistic mental representation, then it is (...)
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  • Should deflationists be dialetheists?J. C. Beall & Bradley Armour-Garb - 2003 - Noûs 37 (2):303–324.
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  • Free of Detachment: Logic, Rationality, and Gluts.Jc Beall - 2013 - Noûs 49 (2):410-423.
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  • Is Vagueness Sui Generis?David Barnett - 2009 - Australasian Journal of Philosophy 87 (1):5-34.
    On the dominant view of vagueness, if it is vague whether Harry is bald, then it is unsettled, not merely epistemically, but metaphysically, whether Harry is bald. In other words, vagueness is a type of indeterminacy. On the standard alternative, vagueness is a type of ignorance: if it is vague whether Harry is bald, then, even though it is metaphysically settled whether Harry is bald, we cannot know whether Harry is bald. On my view, vagueness is neither a type of (...)
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  • Minimalism and the dialetheic challenge.B. Armour-Garb & Jc Beall - 2003 - Australasian Journal of Philosophy 81 (3):383 – 401.
    Minimalists, following Horwich, claim that all that can be said about truth is comprised by all and only the nonparadoxical instances of (E) p is true iff p. It is, accordingly, standard in the literature on truth and paradox to ask how the minimalist will restrict (E) so as to rule out paradox-inducing sentences (alternatively: propositions). In this paper, we consider a prior question: On what grounds does the minimalist restrict (E) so as to rule out paradox-inducing sentences and, thereby, (...)
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  • Dialetheists’ Lies About the Liar.Jonas R. B. Arenhart & Ederson S. Melo - 2018 - Principia: An International Journal of Epistemology 22 (1):59-85.
    Liar-like paradoxes are typically arguments that, by using very intuitive resources of natural language, end up in contradiction. Consistent solutions to those paradoxes usually have difficulties either because they restrict the expressive power of the language, or else because they fall prey to extended versions of the paradox. Dialetheists, like Graham Priest, propose that we should take the Liar at face value and accept the contradictory conclusion as true. A logical treatment of such contradictions is also put forward, with the (...)
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  • The inclosure scheme and the solution to the paradoxes of self-reference.Jordi Valor Abad - 2008 - Synthese 160 (2):183 - 202.
    All paradoxes of self-reference seem to share some structural features. Russell in 1908 and especially Priest nowadays have advanced structural descriptions that successfully identify necessary conditions for having a paradox of this kind. I examine in this paper Priest’s description of these paradoxes, the Inclosure Scheme (IS), and consider in what sense it may help us understand and solve the problems they pose. However, I also consider the limitations of this kind of structural descriptions and give arguments against Priest’s use (...)
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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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  • Rational animals: What the bravest lion won't risk.Ronald de Sousa - 2004 - Croatian Journal of Philosophy 4 (12):365-386.
    I begin with a rather unpromising dispute that Nozick once had with Ian Hacking in the pages of the London Review of Books, in which both vied with one another in their enthusiasm to repudiate the thesis that some human people or peoples are closer than others to animality. I shall attempt to show that one can build, on the basis of Nozick’s discussion of rationality, a defense of the view that the capacity tor language places human rationality out of (...)
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  • The Metaphysical Status of Logic.Tuomas E. Tahko - 2008 - In Michal Peliš (ed.), The Logica Yearbook 2007. Filosofia.
    The purpose of this paper is to examine the status of logic from a metaphysical point of view – what is logic grounded in and what is its relationship with metaphysics. There are three general lines that we can take. 1) Logic and metaphysics are not continuous, neither discipline has no bearing on the other one. This seems to be a rather popular approach, at least implicitly, as philosophers often skip the question altogether and go about their business, be it (...)
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  • 4. Contradictorial Gradualism Vs. Discontinuism: Two Views On Fuzziness And The Transition Problem.Marcelo VÁsconez - 2006 - Logique Et Analyse 49 (195).
    The dissertation has two parts, each dealing with a problem, namely: 1) What is the most adequate account of fuzziness -the so-called phenomenon of vagueness?, and 2) what is the most plausible solution to the sorites, or heap paradox? I will try to show that fuzzy properties are those which are gradual, amenable to be possessed in a greater or smaller extent. Acknowledgement of degrees in the instantiation of a property allows for a gradual transition from one opposite to the (...)
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  • A Disdain for the Discrete: How Art Transcends Logic and Language.Venkat Ramanan - 2018 - Epoche Magazine 1 (3).
    In this essay I argue that art is able to open a new window on to reality only when art can transcend reason and the confines of language. Moreover, both logic and language have their limitations when used as tools for the creation of meaning and that art helps us overcome these inadequacies in the way it transcends — or even transgresses — the absolutes that underpin our “rational” view of the world. Lastly, the violation of the strictures of logic (...)
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  • 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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  • The Necessity of Metaphysics.Tuomas E. Tahko - 2008 - Dissertation, Durham University
    The purpose of this thesis is to demonstrate that metaphysics is a necessary discipline -- necessary in the sense that all areas of philosophy, all areas of science, and in fact any type of rational activity at all would be impossible without a metaphysical background or metaphysical presuppositions. Because of the extremely strong nature of this claim, it is not possible to put forward a very simple argument, although I will attempt to construct one. A crucial issue here is what (...)
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  • “Internal” Problems of Normative Theories of Thinking and Reasoning.Piotr Urbańczyk - 2016 - Zagadnienia Filozoficzne W Nauce 60:35-52.
    This paper provides moderate criticism of so-called normative theories of thinking and reasoning. The discussion focuses on the problems of idealization, adequacy, inconsistent yet non-trivial logics, logical omniscience etc. I called them “internal” to the normative approach, because they stem from the very properties of formal systems used to model these two human activities. Some arguments, however, refer to the current theories in cognitive science, including those which are developed within “descriptive” framework.
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  • In defense of the law of noncontradiction.Edward N. Zalta - 2004 - In J. C. Beall, B. Armour-Garb & G. Priest (eds.), The Law of Non-Contradiction : New Philosophical Essays. Oxford University Press.
    The arguments of the dialetheists for the rejection of the traditional law of noncontradiction are not yet conclusive. The reason is that the arguments that they have developed against this law uniformly fail to consider the logic of encoding as an analytic method that can resolve apparent contradictions. In this paper, we use Priest [1995] and [1987] as sample texts to illustrate this claim. In [1995], Priest examines certain crucial problems in the history of philosophy from the point of view (...)
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