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The Logic of Inconsistency

Blackwell (1980)

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  1. Logical Truth / Logička istina (Bosnian translation by Nijaz Ibrulj).Nijaz Ibrulj & Willard Van Orman Quine - 2018 - Sophos 1 (11):115-128.
    Translated from: W.V.O.Quine, W. H. O. (1986): Philosophy of Logic. Second Edition. Harvard University Press. Cambridge, Massachusetts and London, England, 47-61.
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  • Context-indexed counterfactuals and non-vacuous counterpossibles.Mariusz Popieluch - 2019 - Dissertation, The University of Queensland
    The two main features of this thesis are (i) an account of contextualized (context indexed) counterfactuals, and (ii) a non-vacuist account of counterpossibles. Experience tells us that the truth of the counterfactual is contingent on what is meant by the antecedent, which in turn rests on what context is assumed to underlie its reading (intended meaning). On most conditional analyses, only the world of evaluation and the antecedent determine which worlds are relevant to determining the truth of a conditional, and (...)
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  • A Hyperintensional Account of Metaphysical Equivalence.Kristie Miller - 2017 - Philosophical Quarterly 67 (269):772-793.
    This paper argues for a particular view about in what metaphysical equivalence consists: namely, that any two metaphysical theories are metaphysically equivalent if and only if those theories are strongly hyperintensionally equivalent. It is consistent with this characterisation that said theories are weakly hyperintensionally distinct, thus affording us the resources to model the content of propositional attitudes directed towards metaphysically equivalent theories in such a way that non-ideal agents can bear different propositional attitudes towards metaphysically equivalent theories.
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  • Supervaluationism and Its Logics.Achille C. Varzi - 2007 - Mind 116 (463):633-676.
    What sort of logic do we get if we adopt a supervaluational semantics for vagueness? As it turns out, the answer depends crucially on how the standard notion of validity as truth preservation is recasted. There are several ways of doing that within a supervaluational framework, the main alternative being between “global” construals (e.g., an argument is valid iff it preserves truth-under-all-precisifications) and “local” construals (an argument is valid iff, under all precisifications, it preserves truth). The former alternative is by (...)
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  • On Fine’s fragmentalism.Martin A. Lipman - 2015 - Philosophical Studies 172 (12):3119-3133.
    Fragmentalism is the view that reality is not a metaphysically unified place, but fragmented in a certain sense, and constituted by incompatible facts across such fragments. It was introduced by Kit Fine in a discussion of tense realist theories of time. Here I discuss the conceptual foundations of fragmentalism, identify several open questions in Fine’s characterization of the view, and propose an understanding of fragmentalism that addresses these open questions.
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  • modality and meaning.William G. Lycan - 1994 - Dordrecht: Kluwer Academic Publishers.
    MEANING POSTULATES REINSTATED If I am right in agreeing with Cresswell that the "logicarrlexicaT distinction is one of degree rather than one of kind, that in turn impugns the distinction between the official truth-rules that define logical ...
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  • Towards the Unification of Inconsistency Handling Mechanisms.Diderik Batens - 2000 - Logic and Logical Philosophy 8:5-31.
    It is shown that the consequence relations defined from theRescher-Manor Mechanism are all inconsistency-adaptive logics combined with a specific interpretation schema for the premises. Each of the adaptive logics isobtained by applying a suitable adaptive strategy to the paraconsistent logicCLuN.This result provides all those consequence relations with a proof theory and with a static semantics.
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  • Logic, Ontological Neutrality, and the Law of Non-Contradiction.Achille C. Varzi - 2014 - In Elena Ficara (ed.), Contradictions: Logic, History, Actuality. Boston: De Gruyter. pp. 53–80.
    Abstract. As a general theory of reasoning—and as a general theory of what holds true under every possible circumstance—logic is supposed to be ontologically neutral. It ought to have nothing to do with questions concerning what there is, or whether there is anything at all. It is for this reason that traditional Aristotelian logic, with its tacit existential presuppositions, was eventually deemed inadequate as a canon of pure logic. And it is for this reason that modern quantification theory, too, with (...)
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  • Psychology in the foundations of logic and mathematics: the cases of boole, cantor and brouwer.I. Grattan-Guinness - 1982 - History and Philosophy of Logic 3 (1):33-53.
    In this paper I consider three mathematicians who allowed some role for menial processes in the foundations of their logical or mathematical theories. Boole regarded his Boolean algebra as a theory of mental acts; Cantor permitted processes of abstraction to play a role in his set theory; Brouwer took perception in time as a cornerstone of his intuitionist mathematics. Three appendices consider related topics.
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  • Managing Dialogue in terms of Belief and Acceptance.Louis Caruana - manuscript
    This paper was presented at the 26th International Wittgenstein Symposium on “Knowledge and Belief”, Kirchberg am Wechsel, Austria (3rd - 10th August 2003). The focus of study is a dialogue situation in which one party holds that P while the other holds that ~P. A simple way to establish harmony between the parties in dialogue is to insist that each should include the other’s point of view. This is unsatisfactory because it results in an inconsistent set of beliefs. Clarity is (...)
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  • A classically-based theory of impossible worlds.Edward N. Zalta - 1997 - Notre Dame Journal of Formal Logic 38 (4):640-660.
    The appeal to possible worlds in the semantics of modal logic and the philosophical defense of possible worlds as an essential element of ontology have led philosophers and logicians to introduce other kinds of `worlds' in order to study various philosophical and logical phenomena. The literature contains discussions of `non-normal worlds', `non-classical worlds', `non-standard worlds', and `impossible worlds'. These atypical worlds have been used in the following ways: (1) to interpret unusual modal logics, (2) to distinguish logically equivalent propositions, (3) (...)
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  • (1 other version)Abstract objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
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  • Supervaluationism and Paraconsistency.Achille C. Varzi - 2000 - In Diderik Batens, Chris Mortensen, Graham Priest & Jean Paul Van Bendegem (eds.), Frontiers in Paraconsistent Logic. Research Studies Press. pp. 279–297.
    Since its first appearance in 1966, the notion of a supervaluation has been regarded by many as a powerful tool for dealing with semantic gaps. Only recently, however, applications to semantic gluts have also been considered. In previous work I proposed a general framework exploiting the intrinsic gap/glut duality. Here I also examine an alternative account where gaps and gluts are treated on a par: although they reflect opposite situations, the semantic upshot is the same in both cases--the value of (...)
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  • Logic and limits of knowledge and truth.Patrick Grim - 1988 - Noûs 22 (3):341-367.
    Though my ultimate concern is with issues in epistemology and metaphysics, let me phrase the central question I will pursue in terms evocative of philosophy of religion: What are the implications of our logic-in particular, of Cantor and G6del-for the possibility of omniscience?
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  • 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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  • In between impossible worlds.Maciej Sendłak - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    The common view has it that there are two families of approaches towards the logical structure of impossible worlds – Australasian and North American. According to the first, impossible worlds are closed under the relation of logical consequence of one of the non-classical logics. The North American approach is more liberal, allowing for impossible worlds where no logic holds. After pointing out the questionable consequences of each view, I propose a third one. While this new perspective allows for worlds where (...)
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  • Thinking in Perspective: The Critical Paradox.Karin Verelst - 2021 - In The Practice of Thinking.. Cultivating the Extraordinary. Ghent: Academia Press. pp. 39-63.
    "Thinking about thinking", the topic of this section of our volume, leads us into an Escherian web of self-referential interconnections — which nevertheless make sense, at least if we do not shy away at once in the face of paradox, for fear of inconsistency. How do our critical faculties enter the picture? Adding a few conceptual dimensions to the merely linearly causal one may help us to shed light on the issue, and may help us also to understand some of (...)
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  • Metaphysical Modality, without Possible Worlds.Giorgio Lando - 2022 - In Francesco Ademollo, Fabrizio Amerini & Vincenzo De Risi (eds.), Thinking and Calculating. Springer. pp. 385-408.
    Aim of this paper is to analyse and assess two divergent understandings of metaphysical modality. On one hand, according to the absolutist conception, metaphysical modality is the extreme variety of objective modality and can be characterised in terms of all the varieties of objective modality: for example, p is metaphysically necessary if and only if p is necessary for every variety of objective necessity. The absolutist conception can also be framed in terms of counterfactual inevitability. On the other hand, according (...)
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  • 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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  • Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
    Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related (...)
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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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  • Impossible Worlds.Franz Berto & Mark Jago - 2013 - Oxford: Oxford University Press.
    We need to understand the impossible. Francesco Berto and Mark Jago start by considering what the concepts of meaning, information, knowledge, belief, fiction, conditionality, and counterfactual supposition have in common. They are all concepts which divide the world up more finely than logic does. Logically equivalent sentences may carry different meanings and information and may differ in how they're believed. Fictions can be inconsistent yet meaningful. We can suppose impossible things without collapsing into total incoherence. Yet for the leading philosophical (...)
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  • Perspectival Variance and Worldly Fragmentation.Martin A. Lipman - 2016 - Australasian Journal of Philosophy 94 (1):42-57.
    Objects often manifest themselves in incompatible ways across perspectives that are epistemically on a par. The standard response to such cases is to deny that the properties that things appear to have from different perspectives are properties that things really have out there. This type of response seems worrying: too many properties admit of perspectival variance and there are good theoretical reasons to think that such properties are genuinely instantiated. So, we have reason to explore views on which things can (...)
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  • Spór o niezaktualizowane możliwości.Maciej Sendłak - 2010 - Filozofia Nauki 18 (1).
    In 1947 Quine wrote one of the most important and influential articles in the twentieth century philosophy - "On What There Is". One of the aims of this article was a critique of Meinong's Theory of Object. The critique was especially focused upon nonactual possibilities, which (according to Meinong) are some kinds of nonexistent objects. In my paper I want to present Neo-Meinongian refutations of Quine's critique. In order to do this I discuss: (i) the main thesis of "On What (...)
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  • Some syntactic approaches to the handling of inconsistent knowledge bases: A comparative study part 1: The flat case.Salem Benferhat, Didier Dubois & Henri Prade - 1997 - Studia Logica 58 (1):17-45.
    This paper presents and discusses several methods for reasoning from inconsistent knowledge bases. A so-called argued consequence relation, taking into account the existence of consistent arguments in favour of a conclusion and the absence of consistent arguments in favour of its contrary, is particularly investigated. Flat knowledge bases, i.e., without any priority between their elements, are studied under different inconsistency-tolerant consequence relations, namely the so-called argumentative, free, universal, existential, cardinality-based, and paraconsistent consequence relations. The syntax-sensitivity of these consequence relations is (...)
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  • Contradictions and Paradigms: A Paraconsistent Approach.Lorenzo Peña - 1991 - In Marcelo Dascal (ed.), Cultural Relativism and Philosophy: North and Latin American Perspectives. E.J. Brill. pp. 7--29.
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  • (1 other version)A Passage Theory of Time.Martin A. Lipman - 2008 - In Dean W. Zimmerman (ed.), Oxford Studies in Metaphysics. Oxford University Press. pp. 95-122.
    This paper proposes a view of time that takes passage to be the most basic temporal notion, instead of the usual A-theoretic and B-theoretic notions, and explores how we should think of a world that exhibits such a genuine temporal passage. It will be argued that an objective passage of time can only be made sense of from an atemporal point of view and only when it is able to constitute a genuine change of objects across time. This requires that (...)
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  • Constructing worlds.Mark Jago - 2012 - Synthese 189 (1):59-74.
    You and I can differ in what we say, or believe, even though the things we say, or believe, are logically equivalent. Discussing what is said, or believed, requires notions of content which are finer-grained than sets of (metaphysically or logically) possible worlds. In this paper, I develop the approach to fine-grained content in terms of a space of possible and impossible worlds. I give a method for constructing ersatz worlds based on theory of substantial facts. I show how this (...)
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  • Absolute obligations and ordered worlds.Marvin Belzer & Barry Loewer - 1993 - Philosophical Studies 72 (1):47 - 70.
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  • Phenomenology, possible worlds and negation.Wojciech Krysztofiak - 1991 - Husserl Studies 8 (3):205-220.
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  • Hyperintensional logics for everyone.Igor Sedlár - 2019 - Synthese 198 (2):933-956.
    We introduce a general representation of unary hyperintensional modalities and study various hyperintensional modal logics based on the representation. It is shown that the major approaches to hyperintensionality known from the literature, that is state-based, syntactic and structuralist approaches, all correspond to special cases of the general framework. Completeness results pertaining to our hyperintensional modal logics are established.
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  • God, mind, and logical space: a revisionary approach to divinity.István Aranyosi - 2013 - New York, NY: Palgrave-Macmillan.
    The book offers a novel approach to the idea of divinity in guise of a philosophical doctrine called 'Logical Pantheism', according to which the only way to establish the existence of God undeniably is by equating God with Logical Space.
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  • The 'Galilean Style in Science' and the Inconsistency of Linguistic Theorising.András Kertész - 2012 - Foundations of Science 17 (1):91-108.
    Chomsky’s principle of epistemological tolerance says that in theoretical linguistics contradictions between the data and the hypotheses may be temporarily tolerated in order to protect the explanatory power of the theory. The paper raises the following problem: What kinds of contradictions may be tolerated between the data and the hypotheses in theoretical linguistics? First a model of paraconsistent logic is introduced which differentiates between week and strong contradiction. As a second step, a case study is carried out which exemplifies that (...)
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  • David Lewis’s Counterfactual Arrow of Time.Alexander R. Pruss - 2003 - Noûs 37 (4):606–637.
    David Lewis (1979) has argued that according to his possible worlds analysis of counterfactuals, “backtracking” counterfactuals of the form “If event A were to happen at tA, then event B would happen at tB” where tB precedes tA, are usually false if B does not actually happen at tB. On the other..
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  • Parsons and possible objects.Stephen Cade Hetherington - 1984 - Australasian Journal of Philosophy 62 (3):246 – 254.
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  • Intentional identity and the attitudes.Walter Edelberg - 1992 - Linguistics and Philosophy 15 (6):561 - 596.
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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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  • Substructural epistemic logics.Igor Sedlár - 2015 - Journal of Applied Non-Classical Logics 25 (3):256-285.
    The article introduces substructural epistemic logics of belief supported by evidence. The logics combine normal modal epistemic logics with distributive substructural logics. Pieces of evidence are represented by points in substructural models and availability of evidence is modelled by a function on the point set. The main technical result is a general completeness theorem. Axiomatisations are provided by means of two-sorted Hilbert-style calculi. It is also shown that the framework presents a natural solution to the problem of logical omniscience.
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  • Thought Experiments Rhetoric and Possible Worlds.Benoît de Baere - 2003 - Philosophica 72 (2).
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  • The logical inconsistency of the old quantum theory of Black body radiation.John Norton - 1987 - Philosophy of Science 54 (3):327-350.
    The old quantum theory of black body radiation was manifestly logically inconsistent. It required the energies of electric resonators to be both quantized and continuous. To show that this manifest inconsistency was inessential to the theory's recovery of the Planck distribution law, I extract a subtheory free of this manifest inconsistency but from which Planck's law still follows.
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  • Is there a logic of incoherence?Andre Kukla - 1995 - International Studies in the Philosophy of Science 9 (1):59 – 71.
    Abstract What should we do when we discover that our assessment of probabilities is incoherent? I explore the hypothesis that there is a logic of incoherence?a set of universally valid rules that specify how incoherent probability assessments are to be repaired. I examine a pair of candidate?rules of incoherence logic that have been employed in philosophical reconstructions of scientific arguments. Despite their intuitive plausibility, both rules turn out to be invalid. There are presently no viable candidate?rules for an incoherence logic (...)
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  • Early greek thought and perspectives for the interpretation of quantum mechanics: Preliminaries to an ontological approach.Karin Verelst & Bob Coecke - 1999 - In S. Smets J. P. Van Bendegem G. C. Cornelis (ed.), Metadebates on Science. VUB-Press & Kluwer.
    It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. More well known are the derivative paradoxes of Zeno: the paradox of motion and the paradox of the One and the Many. They stem from what was perceived by classical philosophy (...)
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  • A dilemma for Priest's dialethism?Anthony Everett - 1996 - Australasian Journal of Philosophy 74 (4):657 – 668.
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  • Disagreement, Points of View, and Truth-Relativism.Antti Hautamäki - 2022 - Acta Analytica 37 (4):531-550.
    Truth-relativism is the claim that the truth of statements is dependent on the context in which they are made. In this article, truth-relativism is considered as a way to explain disagreements. Viewpoint relativism, a recent version of truth-relativism, is introduced as a useful framework to analyse how truth-relativism approaches disagreements. Viewpoint relativism is based on contextual semantics and the logic of viewpoint, which is a two-dimensional modal logic. In viewpoint relativism, the central concept is a point of view in relation (...)
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  • Problems of context and knowledge.Jacques Jayez - 1989 - Argumentation 3 (3):303-319.
    In spite of alleged differences in purpose, descriptive and computational linguistics share many problems, due to the fact that any precise study on language needs some form of knowledge representation. This constraint is mostly apparent when interpretation of sentences takes into account elements of the so-called “context”. The parametrization of context, i.e. the explicit listing of features relevant to some intepretation task, is difficult because it requires flexible formal structures for understanding or simulating inferential behaviour, as well as a large (...)
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  • Supervaluationism and its logics.John Gardner - manuscript
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  • On Jaśkowski's Discussive Logics.Newton C. A. da Costa & Francisco A. Doria - 1995 - Studia Logica 54 (1):33 - 60.
    We expose the main ideas, concepts and results about Jaśkowski's discussive logic, and apply that logic to the concept of pragmatic truth and to the Dalla Chiara-di Francia view of the foundations of physics.
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  • From logic to philosophies.Neil Tennant - 1981 - British Journal for the Philosophy of Science 32 (3):287-301.
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  • Counterfactuals and Scientific Realism.Michael J. Shaffer - 2012 - London and Basingstoke: Palgrave MacMillan.
    This book is a sustained defense of the compatibility of the presence of idealizations in the sciences and scientific realism. So, the book is essentially a detailed response to the infamous arguments raised by Nancy Cartwright to the effect that idealization and scientific realism are incompatible.
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  • Inconsistency and interpretation.Lisa Bortolotti - 2003 - Philosophical Explorations 6 (2):109-123.
    Abstract In this paper I discuss one apparent counterexample to the rationality constraint on belief ascription. The fact that there are inconsistent believers does not seem compatible with the idea that only rational creatures can be ascribed beliefs. I consider Davidson's explanation of the possibility of inconsistent believers and claim that it involves a reformulation of the rationality constraint in terms of the believers' subscription to norms of rationality. I shall argue that Davidson's strategy is partially successful, but that the (...)
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