Results for 'logical consequence'

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  1. 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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  2. 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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  3. Logical Consequence and Natural Language.Michael Glanzberg - 2015 - In Colin Caret & Ole 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. Logical Consequence in Modal Logic II: Some Semantic Systems for S4.George Weaver - 1974 - Notre Dame Journal of Formal Logic 15:370.
    ABSTRACT: This 1974 paper builds on our 1969 paper (Corcoran-Weaver [2]). Here we present three (modal, sentential) logics which may be thought of as partial systematizations of the semantic and deductive properties of a sentence operator which expresses certain kinds of necessity. The logical truths [sc. tautologies] of these three logics coincide with one another and with those of standard formalizations of Lewis's S5. These logics, when regarded as logistic systems (cf. Corcoran [1], p. 154), are seen to be (...)
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  9. 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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  10. The Concept of Logical Consequence.John Etchemendy - 1990 - 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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  11. 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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  12.  31
    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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  13. 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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  14. Logical Consequence: Models and Modality.Stewart Shapiro - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. pp. 131--156.
  15.  46
    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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  16. Logical Consequence Operators and Etatism.Wojciech Krysztofiak - 2020 - Studia Humana 9 (3-4):177-193.
    In the paper, there is presented the theory of logical consequence operators indexed with taboo functions. It describes the mechanisms of logical inference in the environment of forbidden sentences. This kind of processes take place in ideological discourses within which their participants create various narrative worlds. A peculiar feature of ideological discourses is their association with taboo structures of deduction which penalize speech acts. The development of discourse involves, among others, transforming its deduction structure towards the proliferation (...)
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  17.  84
    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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  18. 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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  19. 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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  20. Logical Consequence Revisited.José M. Sagüillo - 1997 - Bulletin of Symbolic Logic 3 (2):216-241.
  21. 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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  22.  13
    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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  23.  97
    Logical Consequence.Patricia A. Blanchette - 2001 - In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell. pp. 2001--115.
  24.  45
    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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  25.  6
    Reinflating Logical Consequence.Owen Griffiths - 2014 - Journal of Philosophical Logic 43 (1):171-179.
    Shapiro 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 proof theory and model (...)
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  26. 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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  27.  49
    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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  28.  72
    Tarski on Logical Consequence.Mario Gómez-Torrente - 1996 - Notre Dame Journal of Formal Logic 37 (1):125-151.
    This paper examines from a historical perspective Tarski's 1936 essay, "On the concept of logical consequence." I focus on two main aims. The primary aim is to show how Tarski's definition of logical consequence satisfies two desiderata he himself sets forth for it: (1) it must declare logically correct certain formalizations of the -rule and (2) it must allow for variation of the individual domain in the test for logical consequence. My arguments provide a (...)
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  29. The Concept of Logical Consequence.John Etchemendy - 1991 - Mind 100 (3):382-385.
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  30.  97
    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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  31. The Concept of Logical Consequence.John Etchemendy - 1994 - Erkenntnis 41 (2):281-284.
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  32. The Tractatus on Logical Consequence.José L. Zalabardo - 2010 - 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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  33. Tarski on Truth and Logical Consequence.John Etchemendy - 1988 - Journal of Symbolic Logic 53 (1):51-79.
  34.  13
    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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  35.  93
    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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  36. Logical Consequence: Between Formal and Natural Language (Dissertation).Gil Sagi - 2013 - Dissertation, Hebrew University of Jerusalem
  37. 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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  38.  10
    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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  39. Generalized Logical Consequence: Making Room for Induction in the Logic of Science. [REVIEW]Samir Chopra & Eric Martin - 2002 - Journal of Philosophical Logic 31 (3):245-280.
    We present a framework that provides a logic for science by generalizing the notion of logical (Tarskian) consequence. This framework will introduce hierarchies of logical consequences, the first level of each of which is identified with deduction. We argue for identification of the second level of the hierarchies with inductive inference. The notion of induction presented here has some resonance with Popper's notion of scientific discovery by refutation. Our framework rests on the assumption of a restricted class (...)
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  40. Supervaluationism and Logical Consequence: A Third Way.Pablo Cobreros - 2008 - Studia Logica 90 (3):291-312.
    It is often assumed that the supervaluationist theory of vagueness is committed to a global notion of logical consequence, in contrast with the local notion characteristic of modal logics. There are, at least, two problems related to the global notion of consequence. First, it brings some counterexamples to classically valid patterns of inference. Second, it is subject to an objection related to higher-order vagueness . This paper explores a third notion of logical consequence, and discusses (...)
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  41. Logical Consequence, Philosophical Considerations.Matthew McKeon - 2004 - Internet Encyclopedia of Philosophy.
  42.  60
    Etchemendy and Logical Consequence.Graham Priest - 1995 - Canadian Journal of Philosophy 25 (2):283 - 292.
    Logical consequence is a notion that every person who reasons must possess, at least implicitly. To give a precise and accurate characterization of this notion is the fundamental task of logic. In a similar way, the notion of effectivity is a concept that anyone with a basic training in mathematics possesses, and the most fundamental task of a theory of computability is to give a precise characterization of this notion. The problem concerning effectivity was solved in the 1930s, (...)
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  43. Varzi on Supervaluationism and Logical Consequence.Pablo Cobreros - 2011 - Mind 120 (479):833-43.
    Though it is standardly assumed that supervaluationism applied to vagueness is committed to global validity, Achille Varzi (2007) argues that the supervaluationist should take seriously the idea of adopting local validity instead. Varzi’s motivation for the adoption of local validity is largely based on two objections against the global notion: that it brings some counterexamples to classically valid rules of inference and that it is inconsistent with unrestricted higher-order vagueness. In this discussion I review these objections and point out ways (...)
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  44. Logical Consequence: Rival Approaches.Bryson Brown & John Woods (eds.) - 2001 - Hermes.
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  45.  71
    The Substitutional Analysis of Logical Consequence.Volker Halbach - 2020 - Noûs 54 (2):431-450.
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  46. Etchemendy and Bolzano on Logical Consequence.Paul Rusnock & Mark Burke - 2010 - History and Philosophy of Logic 31 (1):3-29.
    In a series of publications beginning in the 1980s, John Etchemendy has argued that the standard semantical account of logical consequence, due in its essentials to Alfred Tarski, is fundamentally mistaken. He argues that, while Tarski's definition requires us to classify the terms of a language as logical or non-logical, no such division is guaranteed to deliver the correct extension of our pre-theoretical or intuitive consequence relation. In addition, and perhaps more importantly, Tarski's account is (...)
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  47. Logical Consequence, Deductive-Theoretic Conceptions.Matthew McKeon - 2004 - Internet Encyclopedia of Philosophy.
  48.  17
    The Logical Consequence Relation of Propositional Tense Logic.S. K. Thomason - 1975 - Mathematical Logic Quarterly 21 (1):29-40.
  49. Logical Consequence.Gila Sher - 2022 - 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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  50. 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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