Results for 'logical consequence'

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  1. Logical Consequence and Natural Language.Michael Glanzberg - 2015 - In Colin R. Caret & Ole T. Hjortland (eds.), Foundations of Logical Consequence. Oxford University Press. pp. 71-120.
    One of the great successes in the study of language has been the application of formal methods, including those of formal logic. Even so, this chapter argues against one way of accounting for this success, by arguing that the study of natural language semantics and of logical consequence relations are not the same. There is indeed a lot we can glean about logic from looking at our languages, and at our inferential practices, but the semantic properties of natural (...)
     
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  2. Logical Consequence: Its nature, structure, and application.Colin R. Caret & Ole T. Hjortland - 2015 - In Colin R. Caret & Ole T. Hjortland (eds.), Foundations of Logical Consequence. Oxford University Press.
    Recent work in philosophical logic has taken interesting and unexpected turns. It has seen not only a proliferation of logical systems, but new applications of a wide range of different formal theories to philosophical questions. As a result, philosophers have been forced to revisit the nature and foundation of core logical concepts, chief amongst which is the concept of logical consequence. This essay sets the contributions of the volume in context and identifies how they advance important (...)
     
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  3. Logical Consequence.J. C. Beall, Greg Restall & Gil Sagi - 2019 - Stanford Encyclopedia of Philosophy.
    A good argument is one whose conclusions follow from its premises; its conclusions are consequences of its premises. But in what sense do conclusions follow from premises? What is it for a conclusion to be a consequence of premises? Those questions, in many respects, are at the heart of logic (as a philosophical discipline). Consider the following argument: 1. If we charge high fees for university, only the rich will enroll. We charge high fees for university. Therefore, only the (...)
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  4. Logical consequence: Models and modality.Stewart Shapiro - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. pp. 131--156.
  5. Deflating logical consequence.Lionel Shapiro - 2011 - Philosophical Quarterly 61 (243):320-342.
    Deflationists about truth seek to undermine debates about the nature of truth by arguing that the truth predicate is merely a device that allows us to express a certain kind of generality. I argue that a parallel approach is available in the case of logical consequence. Just as deflationism about truth offers an alternative to accounts of truth's nature in terms of correspondence or justification, deflationism about consequence promises an alternative to model-theoretic or proof-theoretic accounts of (...)'s nature. I then argue, against considerations put forward by Field and Beall, that Curry's paradox no more rules out deflationism about consequence than the liar paradox rules out deflationism about truth. (shrink)
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  6. Can logical consequence be deflated?Michael De - 2012 - In Insolubles and Consequences : essays in honour of Stephen Read. pp. 23-33.
    An interesting question is whether deflationism about truth (and falsity) extends to related properties and relations on truthbearers. Lionel Shapiro (2011) answers affirmatively by arguing that a certain deflationism about truth is as plausible as an analogous version of deflationism about logical consequence. I argue that the argument fails on two counts. First, it trivializes to any relation between truthbearers, including substantive ones; in other words, his argument can be used to establish that deflationism about truth is as (...)
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  7. Logical Consequence and Logical Expressions.Mario Gómez-Torrente - 2003 - Theoria 18 (2):131-144.
    The pretheoretical notions of logical consequence and of a logical expression are linked in vague and complex ways to modal and pragmatic intuitions. I offer an introduction to the difficulties that these intuitions create when one attempts to give precise characterizations of those notions. Special attention is given to Tarski’s theories of logical consequence and logical constancy. I note that the Tarskian theory of logical consequence has fared better in the face of (...)
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  8. Logical consequence, philosophical considerations.Matthew McKeon - 2004 - Internet Encyclopedia of Philosophy.
  9. Dialetheism, logical consequence and hierarchy.Bruno Whittle - 2004 - Analysis 64 (4):318–326.
    I argue that dialetheists have a problem with the concept of logical consequence. The upshot of this problem is that dialetheists must appeal to a hierarchy of concepts of logical consequence. Since this hierarchy is akin to those invoked by more orthodox resolutions of the semantic paradoxes, its emergence would appear to seriously undermine the dialetheic treatments of these paradoxes. And since these are central to the case for dialetheism, this would represent a significant blow to (...)
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  10. Logical Consequence and the Paradoxes.Edwin Mares & Francesco Paoli - 2014 - Journal of Philosophical Logic 43 (2-3):439-469.
    We group the existing variants of the familiar set-theoretical and truth-theoretical paradoxes into two classes: connective paradoxes, which can in principle be ascribed to the presence of a contracting connective of some sort, and structural paradoxes, where at most the faulty use of a structural inference rule can possibly be blamed. We impute the former to an equivocation over the meaning of logical constants, and the latter to an equivocation over the notion of consequence. Both equivocation sources are (...)
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  11.  55
    Dialetheism, logical consequence and hierarchy.Bruno Whittle - 2004 - Analysis 64 (4):318-326.
    I argue that dialetheists have a problem with the concept of logical consequence. The upshot of this problem is that dialetheists must appeal to a hierarchy of concepts of logical consequence. Since this hierarchy is akin to those invoked by more orthodox resolutions of the semantic paradoxes, its emergence would appear to seriously undermine the dialetheic treatments of these paradoxes. And since these are central to the case for dialetheism, this would represent a significant blow to (...)
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  12. Logical consequence, deductive-theoretic conceptions.Matthew McKeon - 2004 - Internet Encyclopedia of Philosophy.
  13. Logical consequence, proof theory, and model theory.Stewart Shapiro - 2005 - In Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 651--670.
    This chapter provides broad coverage of the notion of logical consequence, exploring its modal, semantic, and epistemic aspects. It develops the contrast between proof-theoretic notion of consequence, in terms of deduction, and a model-theoretic approach, in terms of truth-conditions. The main purpose is to relate the formal, technical work in logic to the philosophical concepts that underlie reasoning.
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  14.  57
    Logical consequence as truth-preservation.Stephen Read - 2003 - Logique and Analyse 183 (4):479-493.
    t is often suggested that truth-preservation is insufficient for logical consequence, and that consequence needs to satisfy a further condition of relevance. Premises and conclusion in a valid consequence must be relevant to one another, and truth-preservation is too coarse-grained a notion to guarantee that. Thus logical consequence is the intersection of truth-preservation and relevance. This situation has the absurd consequence that one might concede that the conclusion of an argument was true (since (...)
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  15. Logical Consequence.Gila Sher - 2022 - New York, NY, USA: Cambridge University Press.
    To understand logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges. The topics discussed include: the passage from Tarski's definition of truth to his definition of logical consequence, the need for a non-proof-theoretic definition, the idea of a semantic definition, the adequacy conditions of preservation of (...)
     
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  16. Logical consequence.Patricia A. Blanchette - 2001 - In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell. pp. 2001--115.
  17. Logical consequence: A defense of Tarski.Greg Ray - 1996 - Journal of Philosophical Logic 25 (6):617 - 677.
    In his classic 1936 essay "On the Concept of Logical Consequence", Alfred Tarski used the notion of satisfaction to give a semantic characterization of the logical properties. Tarski is generally credited with introducing the model-theoretic characterization of the logical properties familiar to us today. However, in his book, The Concept of Logical Consequence, Etchemendy argues that Tarski's account is inadequate for quite a number of reasons, and is actually incompatible with the standard model-theoretic account. (...)
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  18. Logical Consequence: Between Formal and Natural Language (Dissertation).Gil Sagi - 2013 - Dissertation, Hebrew University of Jerusalem
  19. Foundations of Logical Consequence.Colin R. Caret & Ole T. Hjortland (eds.) - 2015 - Oxford, England: Oxford University Press.
    Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking (...)
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  20. Logical Consequence for Nominalists.Marcus Rossberg & Daniel Cohnitz - 2009 - Theoria 24 (2):147-168.
    It is often claimed that nominalistic programmes to reconstruct mathematics fail, since they will at some point involve the notion of logical consequence which is unavailable to the nominalist. In this paper we use an idea of Goodman and Quine to develop a nominalistically acceptable explication of logical consequence.
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  21. Non-logical Consequence.David Hitchcock - 2009 - Studies in Logic, Grammar and Rhetoric 16 (29).
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  22. Logical consequence revisited.José M. Sagüillo - 1997 - Bulletin of Symbolic Logic 3 (2):216-241.
    Tarski's 1936 paper, “On the concept of logical consequence”, is a rather philosophical, non-technical paper that leaves room for conflicting interpretations. My purpose is to review some important issues that explicitly or implicitly constitute its themes. My discussion contains four sections: terminological and conceptual preliminaries, Tarski's definition of the concept of logical consequence, Tarski's discussion of omega-incomplete theories, and concluding remarks concerning the kind of conception that Tarski's definition was intended to explicate. The third section involves (...)
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  23.  90
    Reinflating Logical Consequence.Owen Griffiths - 2012 - Journal of Philosophical Logic (1):1-9.
    Shapiro (Philos Q 61:320–342, 2011) argues that, if we are deflationists about truth, we should be deflationists about logical consequence. Like the truth predicate, he claims, the logical consequence predicate is merely a device of generalisation and more substantial characterisation, e.g. proof- or model-theoretic, is mistaken. I reject his analogy between truth and logical consequence and argue that, by appreciating how the logical consequence predicate is used as well as the goals of (...)
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  24. Logical Consequence.Gila Sher - 1996 - In D. M. Borchert (ed.), Supplement to the Encyclopedia of Philosophy. Macmillan. pp. 310-312.
  25. The Concept of Logical Consequence: An Introduction to Philosophical Logic.Matthew W. McKeon - 2010 - Peter Lang.
    Introduction -- The concept of logical consequence -- Tarski's characterization of the common concept of logical consequence -- The logical consequence relation has a modal element -- The logical consequence relation is formal -- The logical consequence relation is A priori -- Logical and non-logical terminology -- The meanings of logical terms explained in terms of their semantic properties -- The meanings of logical terms explained in (...)
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  26. John Buridan on Logical Consequence.Boaz Faraday Schuman - forthcoming - In Graziana Ciola & Milo Crimi (eds.), Validity Throughout History. Munich: Philosophia Verlag.
    If an argument is valid, it is impossible for its premises to be true, and its conclusion false. But how should we understand these notions of truth and impossibility? Here, I present the answers given by John Buridan (ca. 1300-60), showing (i) how he understands truth in his anti-realist metaphysics, and (ii) how he understands modality in connection with causal powers. In short: if an argument exists and is valid, there does not exist a power capable of making the premises (...)
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  27. Logical Consequence and Model-Theoretic Consequence.Greg O'Hair - 1992 - Logique Et Analyse 35:239-249.
     
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  28. The concept of logical consequence.John Etchemendy - 1990 - Cambridge, Mass.: Harvard University Press.
    Of course we all know now that mathematics has proved that logic doesn't really make sense, but Etchemendy (philosophy, Stanford Univ.) goes further and challenges the received view of the conceptual underpinnings of modern logic by arguing that Tarski's model-theoretic analysis of logical consequences is wrong. He may have found the soft underbelly of the dead horse. Annotation copyrighted by Book News, Inc., Portland, OR.
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  29.  37
    Alethic Pluralism and Logical Consequence.Nicholas J. J. Smith - 2020 - In Igor Sedlár & Martin Blicha (eds.), The Logica Yearbook 2019. London, UK: College Publications. pp. 147-61.
    It has been argued that alethic pluralists -- who hold that there are several distinct truth properties -- face a problem when it comes to defining validity. Via consideration of the classical concept of logical consequence, and of strategies for defining validity in many-valued logics, this paper proposes two new kinds of solution to the problem.
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  30.  16
    Logical Consequence and Rationality.Nenad Smokrović - 2012 - In Majda Trobok Nenad Miščević & Berislav Žarnić (eds.), Between Logic and Reality. Springer. pp. 121--133.
  31.  20
    The Concept of Logical Consequence.William H. Hanson - 1997 - Philosophical Review 106 (3):365-409.
    In the first section, I consider what several logicians say informally about the notion of logical consequence. There is significant variation among these accounts, they are sometimes poorly explained, and some of them are clearly at odds with the usual technical definition. In the second section, I first argue that a certain kind of informal account—one that includes elements of necessity, generality, and apriority—is approximately correct. Next I refine this account and consider several important questions about it, including (...)
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    Gurus, Logical Consequence, and Truth-Bearers: What Is It that Is True?Shapiro St E. Wa Rt - 2005 - In J. C. Beall & B. Armour-Garb (eds.), Deflationary Truth. Open Court. pp. 153.
  33.  10
    Reinflating Logical Consequence.Owen Griffiths - 2014 - Journal of Philosophical Logic 43 (1):171-179.
    Shapiro (Philos Q 61:320–342, 2011) argues that, if we are deflationists about truth, we should be deflationists about logical consequence. Like the truth predicate, he claims, the logical consequence predicate is merely a device of generalisation and more substantial characterisation, e.g. proof- or model-theoretic, is mistaken. I reject his analogy between truth and logical consequence and argue that, by appreciating how the logical consequence predicate is used as well as the goals of (...)
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  34. Logical Consequence: Rival Approaches.Bryson Brown & John Woods (eds.) - 2001 - Hermes.
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  35.  52
    Logical Consequence in Modal Logic.John Corcoran & George Weaver - 1969 - Notre Dame Journal of Formal Logic 10 (4):370-384.
    This paper develops a modal, Sentential logic having "not", "if...Then" and necessity as logical constants. The semantics (system of meanings) of the logic is the most obvious generalization of the usual truth-Functional semantics for sentential logic and its deductive system (system of demonstrations) is an obvious generalization of a suitable (jaskowski-Type) natural deductive system for sentential logic. Let a be a set of sentences and p a sentence. "p is a logical consequence of a" is defined relative (...)
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  36. Aristotle on Logical Consequence.Phil Corkum - manuscript
    Compare two conceptions of validity: under an example of a modal conception, an argument is valid just in case it is impossible for the premises to be true and the conclusion false; under an example of a topic-neutral conception, an argument is valid just in case there are no arguments of the same logical form with true premises and a false conclusion. This taxonomy of positions suggests a project in the philosophy of logic: the reductive analysis of the modal (...)
     
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  37. The structure of logical consequence : proof-theoretic conceptions.Ole T. Hjortland - unknown
    The model-theoretic analysis of the concept of logical consequence has come under heavy criticism in the last couple of decades. The present work looks at an alternative approach to logical consequence where the notion of inference takes center stage. Formally, the model-theoretic framework is exchanged for a proof-theoretic framework. It is argued that contrary to the traditional view, proof-theoretic semantics is not revisionary, and should rather be seen as a formal semantics that can supplement model-theory. Specifically, (...)
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  38.  8
    The Logical Consequence of a Fitting-attitude.Toni Rønnow-Rasmussen - unknown
  39.  99
    Logical Consequence and First-Order Soundness and Completeness: A Bottom Up Approach.Eli Dresner - 2011 - Notre Dame Journal of Formal Logic 52 (1):75-93.
    What is the philosophical significance of the soundness and completeness theorems for first-order logic? In the first section of this paper I raise this question, which is closely tied to current debate over the nature of logical consequence. Following many contemporary authors' dissatisfaction with the view that these theorems ground deductive validity in model-theoretic validity, I turn to measurement theory as a source for an alternative view. For this purpose I present in the second section several of the (...)
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  40. The Concept of Logical Consequence.John Etchemendy - 1990 - Mind 100 (3):382-385.
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  41. The Concept of Logical Consequence.John Etchemendy - 1994 - Erkenntnis 41 (2):281-284.
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  42. Models and Logical Consequence.Gil Sagi - 2014 - Journal of Philosophical Logic 43 (5):943-964.
    This paper deals with the adequacy of the model-theoretic definition of logical consequence. Logical consequence is commonly described as a necessary relation that can be determined by the form of the sentences involved. In this paper, necessity is assumed to be a metaphysical notion, and formality is viewed as a means to avoid dealing with complex metaphysical questions in logical investigations. Logical terms are an essential part of the form of sentences and thus have (...)
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  43.  11
    Hierarchical logical consequence.Carlos Caleiro, Paula Gouveia & Jaime Ramos - 2011 - Logic Journal of the IGPL 19 (4):544-565.
    The modern view of logical reasoning as modeled by a consequence operator has allowed for huge developments in the study of logic as an abstract discipline. Still, it is unable to explain why it is often the case that the same designation is used, in an ambiguous way, to describe several distinct modes of reasoning over the same logical language. A paradigmatic example of such a situation is ‘modal logic’, a terminology which can encompass reasoning over Kripke (...)
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  44.  40
    Logical Pluralism and Logical Consequence.Erik Stei - 2023 - Cambridge: Cambridge University Press.
    Logical pluralism is the view that there is more than one correct logic. This is not necessarily a controversial claim but in its most exciting formulations, pluralism extends to logics that have typically been considered rival accounts of logical consequence – to logics, that is, which adopt seemingly contradictory views about basic logical laws or argument forms. The logical pluralist challenges the philosophical orthodoxy that an argument is either deductively valid or invalid by claiming that (...)
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    Genuine Logical Consequence.Walter J. Schultz - 2021 - Philosophia Christi 23 (1):77-100.
    Our pretheoretic sense of the relation of logical consequence arises from our experience of deductive inference. By ignoring the priority of inference and failing to provide an account of the ontological grounds of the conceptual experience and of the modal and truth elements in the statement of our pretheoretical sense, informal and technical accounts are at best partial. This paper proposes an ontological analysis of both elements which accounts for our conceptual experience and differentiates genuine from ersatz (...) consequence. (shrink)
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    The Metaphysics of Logical Consequence.Alexandra Zinke - 2018 - Frankfurt a.M.: Klostermann.
    The book discusses the central notion of logic: the concept of logical consequence. It shows that the classical definition of consequence as truth preservation in all models must be restricted to all admissible models. The challenge for the philosophy of logic is therefore to supplement the definition with a criterion for admissible models. -/- The problem of logical constants, so prominent in the current debate, constitutes but a special case of this much more general demarcation problem. (...)
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  47. Ray on Tarski on logical consequence.William H. Hanson - 1999 - Journal of Philosophical Logic 28 (6):605-616.
    In "Logical consequence: A defense of Tarski" (Journal of Philosophical Logic, vol. 25, 1996, pp. 617-677), Greg Ray defends Tarski's account of logical consequence against the criticisms of John Etchemendy. While Ray's defense of Tarski is largely successful, his attempt to give a general proof that Tarskian consequence preserves truth fails. Analysis of this failure shows that de facto truth preservation is a very weak criterion of adequacy for a theory of logical consequence (...)
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  48.  22
    Paraconsistent Logical Consequence.Dale Jacquette - 1998 - Journal of Applied Non-Classical Logics 8 (4):337-351.
    ABSTRACT The concept of paraconsistent logical consequence is usually negatively defined as a validity semantics in which not every sentences is deducible or in which inferential explosion does not occur. Paraconsistency has been negatively characterized in this way because paraconsistent logics have been designed specifically to avoid the trivialization of deductive inference entailed by the classical paradoxes of material implication for applications in a system that tolerates syntactical contradictions. The effect of the negative characterization of paraconsistency has been (...)
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  49. The Tractatus on Logical Consequence.José L. Zalabardo - 2009 - European Journal of Philosophy 18 (3):425-442.
    I discuss the account of logical consequence advanced in Wittgenstein's Tractatus. I argue that the role that elementary propositions are meant to play in this account can be used to explain two remarkable features that Wittgenstein ascribes to them: that they are logically independent from one another and that their components refer to simple objects. I end with a proposal as to how to understand Wittgenstein's claim that all propositions can be analysed as truth functions of elementary propositions.
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    Logical Consequence in Avicenna’s Theory.Saloua Chatti - 2019 - Logica Universalis 13 (1):101-133.
    In this paper I examine Avicenna’s conception of the consequence relation. I will consider in particular his categorical and hypothetical logics. I will first analyse his definition of the implication and will show that this relation is not a consequence relation in his frame. Unlike the medieval logicians, he does not distinguish explicitly between material and formal consequences. The arguments discussed in al-Qiyās, where the conclusion is true only in some matters, and would seem close to a material (...)
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