Results for 'logical constants'

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  1. Logical Constants.John MacFarlane - 2008 - Mind.
    Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share (...)
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  2. Logical Constants.K. Warmbrod - 1999 - Mind 108 (431):503 - 538.
    There is as yet no settled consensus as to what makes a term a logical constant or even as to which terms should be recognized as having this status. This essay sets out and defends a rationale for identifying logical constants. I argue for a two-tiered approach to logical theory. First, a secure, core logical theory recognizes only a minimal set of constants needed for deductively systematizing scientific theories. Second, there are extended logical (...)
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  3.  62
    Logical Constants as Punctuation Marks.Kosta Došen - 1989 - Notre Dame Journal of Formal Logic 30 (3):362-381.
  4. Logical Constants in Quantifier Languages.Dag Westerståhl - 1985 - Linguistics and Philosophy 8 (4):387 - 413.
  5.  32
    Abstract Logical Constants.Tin Perkov - 2018 - Logica Universalis 12 (3-4):341-350.
    A possibility of defining logical constants within abstract logical frameworks is discussed, in relation to abstract definition of logical consequence. We propose using duals as a general method of applying the idea of invariance under replacement as a criterion for logicality.
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  6. Understanding Logical Constants: A Realist's Account.Christopher Peacocke - 2004 - In T. J. Smiley & Thomas Baldwin (eds.), Studies in the Philosophy of Logic and Knowledge. Published for the British Academy by Oxford University Press. pp. 163.
  7. Logical Constants: A Modalist Approach 1.Otávio Bueno & Scott A. Shalkowski - 2013 - Noûs 47 (1):1-24.
  8.  89
    Logical Constants, or How to Use Invariance in Order to Complete the Explication of Logical Consequence.Denis Bonnay - 2014 - Philosophy Compass 9 (1):54-65.
    The problem of logical constants consists in finding a principled way to draw the line between those expressions of a language that are logical and those that are not. The criterion of invariance under permutation, attributed to Tarski, is probably the most common answer to this problem, at least within the semantic tradition. However, as the received view on the matter, it has recently come under heavy attack. Does this mean that the criterion should be amended, or (...)
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  9.  28
    Logical Constants Across Varying Types.Johan van Benthem - 1989 - Notre Dame Journal of Formal Logic 30 (3):315-342.
  10. Understanding Logical Constants: A Realist's Account.Christopher Peacocke - 1988 - In Proceedings of the British Academy, Volume 73: 1987. pp. 153.
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  11.  6
    Logical Constants.K. WarmbrÕ & D. - 1999 - Mind 108 (431):503-538.
    There is as yet no settled consensus as to what makes a term a logical constant or even as to which terms should be recognized as having this status. This essay sets out and defends a rationale for identifying logical constants. I argue for a two-tiered approach to logical theory. First, a secure, core logical theory recognizes only a minimal set of constants needed for deductively systematizing scientific theories. Second, there are extended logical (...)
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  12. The Problem of Logical Constants.Mario Gómez-Torrente - 2002 - Bulletin of Symbolic Logic 8 (1):1-37.
    There have been several different and even opposed conceptions of the problem of logical constants, i.e. of the requirements that a good theory of logical constants ought to satisfy. This paper is in the first place a survey of these conceptions and a critique of the theories they have given rise to. A second aim of the paper is to sketch some ideas about what a good theory would look like. A third aim is to draw (...)
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  13.  49
    Logical Constants and the Glory of Truth-Conditional Semantics.William G. Lycan - 1989 - Notre Dame Journal of Formal Logic 30 (3):390-400.
  14. The Accident of Logical Constants.Tristan Grøtvedt Haze - 2020 - Thought: A Journal of Philosophy 9 (1):34-42.
    Work on the nature and scope of formal logic has focused unduly on the distinction between logical and extra-logical vocabulary; which argument forms a logical theory countenances depends not only on its stock of logical terms, but also on its range of grammatical categories and modes of composition. Furthermore, there is a sense in which logical terms are unnecessary. Alexandra Zinke has recently pointed out that propositional logic can be done without logical terms. By (...)
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  15. A Characterization of Logical Constants is Possible.Gila Sher - 2003 - Theoria 18 (2):189-198.
    The paper argues that a philosophically informative and mathematically precise characterization is possible by (i) describing a particular proposal for such a characterization, (ii) showing that certain criticisms of this proposal are incorrect, and (iii) discussing the general issue of what a characterization of logical constants aims at achieving.
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  16. What is a Logical Constant?Christopher Peacocke - 1976 - Journal of Philosophy 73 (9):221-240.
  17. Understanding the Logical Constants and Dispositions.Corine Besson - 2009 - The Baltic International Yearbook of Cognition, Logic and Communication 5:1-24.
    Many philosophers claim that understanding a logical constant (e.g. ‘if, then’) fundamentally consists in having dispositions to infer according to the logical rules (e.g. Modus Ponens) that fix its meaning. This paper argues that such dispositionalist accounts give us the wrong picture of what understanding a logical constant consists in. The objection here is that they give an account of understanding a logical constant which is inconsistent with what seem to be adequate manifestations of such understanding. (...)
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  18. The Idea of a Logical Constant.Timothy McCarthy - 1981 - Journal of Philosophy 78 (9):499-523.
  19.  72
    Logical Constants.J. A. Chadwick - 1927 - Mind 36 (141):1-11.
    There is as yet no settled consensus as to what makes a term a logical constant or even as to which terms should be recognized as having this status. This essay sets out and defends a rationale for identifying logical constants. I argue for a two-tiered approach to logical theory. First, a secure, core logical theory recognizes only a minimal set of constants needed for deductively systematizing scientific theories. Second, there are extended logical (...)
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  20.  19
    Logical Constants: Part I.Irwin C. Lieb - 1953 - Review of Metaphysics 7 (1):36 - 52.
    Fully adequate answers to these questions are best provided in a comprehensive philosophy of logic. Within shorter compass, it is nevertheless possible to be guided by some conditions that are necessary to adequate answers. These will be results of the analysis of propositions and statements. They are necessary, since no answers to the questions about the constants will be acceptable if, for example, it follows from the answers that propositions or statements cannot be unities, or that propositions or statements (...)
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  21.  15
    A Characterization of Logical Constants Is Possible.Gila Sher - 2003 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 18 (2):189-198.
    The paper argues that a philosophically informative and mathematically precise characterization is possible by describing a particular proposal for such a characterization, showing that certain criticisms of this proposal are incorrect, and discussing the general issue of what a characterization of logical constants aims at achieving.
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  22. Reassessing Logical Hylomorphism and the Demarcation of Logical Constants.Catarina Dutilh Novaes - 2012 - Synthese 185 (3):387 - 410.
    The paper investigates the propriety of applying the form versus matter distinction to arguments and to logic in general. Its main point is that many of the currently pervasive views on form and matter with respect to logic rest on several substantive and even contentious assumptions which are nevertheless uncritically accepted. Indeed, many of the issues raised by the application of this distinction to arguments seem to be related to a questionable combination of different presuppositions and expectations; this holds in (...)
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  23.  95
    Stenius on Logical Constants.Markku Keinänen & Gabriel Sandu - 1996 - In Logica Yearbook '96. Praha: pp. 93-106.
    The article presents Erik Stenius' conception of logical constants and compares it with the standard approach.
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  24.  12
    The Problem of Logical Constants and the Semantic Tradition: From Invariantist Views to a Pragmatic Account.Mario Gomez-Torrente - 2021 - In Gil Sagi & Jack Woods (eds.), The Semantic Conception of Logic: Essays on Consequence, Invariance, and Meaning. Cambridge: Cambridge University Press. pp. 35-54.
    I offer new criticisms of invariantist views of logicality, objecting especially to Gila Sher’s arguments for invariantism’s ability to explain the formality, necessity, apriority and normative force of logic. I argue that the semantic conception of logic can do perfectly well without a model-theoretic notion of logicality, and that the descriptive and explanatory theoretical roles sometimes ascribed to invariantism can be played by a non-model-theoretic account of logicality, specifically by one in which some pragmatic properties of expressions play an important (...)
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  25.  26
    Weak Logical Constants and Second Order Definability of the Full-Strength Logical Constants.Mitsuhiro Okada - 1989 - Annals of the Japan Association for Philosophy of Science 7 (4):163-172.
  26. A Hierarchy of Logical Constants.Alexandra Zinke - 2017 - In Pavel Arazim & Tomas Lavicka (eds.), The Logica Yearbook 2016. London: College Publications. pp. 305-316.
    The paper provides a new argument against the classical invariance criterion for logical terms: if all terms with a permutation invariant extension qualify as logical, then for any arbitrary true contingent sentence K of the meta-language, there would be a logically true object-language sentence 'φ' such that K follows from the sentence 'φ is true'. Thus, many logically true sentences would be a posteriori. To prevent this fatal consequence, we propose to alter the invariance criterion: not only the (...)
     
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  27. Logic, Reasoning and the Logical Constants.Pascal Engel - 2006 - Croatian Journal of Philosophy 6 (2):219-235.
    What is the relationship between logic and reasoning? How do logical norms guide inferential performance? This paper agrees with Gilbert Harman and most of the psychologists that logic is not directly relevant to reasoning. It argues, however, that the mental model theory of logical reasoning allows us to harmonise the basic principles of deductive reasoning and inferential perfomances, and that there is a strong connexion between our inferential norms and actual reasoning, along the lines of Peacocke’s conception of (...)
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  28.  45
    New Intuitionistic Logical Constants and Novikov Completeness.Alexander Yashin - 1999 - Studia Logica 63 (2):151-180.
    Extending the language of the intuitionistic propositional logic Int with additional logical constants, we construct a wide family of extensions of Int with the following properties: (a) every member of this family is a maximal conservative extension of Int; (b) additional constants are independent in each of them.
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  29. General-Elimination Harmony and the Meaning of the Logical Constants.Stephen Read - 2010 - Journal of Philosophical Logic 39 (5):557-576.
    Inferentialism claims that expressions are meaningful by virtue of rules governing their use. In particular, logical expressions are autonomous if given meaning by their introduction-rules, rules specifying the grounds for assertion of propositions containing them. If the elimination-rules do no more, and no less, than is justified by the introduction-rules, the rules satisfy what Prawitz, following Lorenzen, called an inversion principle. This connection between rules leads to a general form of elimination-rule, and when the rules have this form, they (...)
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  30. Implicational Paradoxes and the Meaning of Logical Constants.Francesco Paoli - 2007 - Australasian Journal of Philosophy 85 (4):553 – 579.
    I discuss paradoxes of implication in the setting of a proof-conditional theory of meaning for logical constants. I argue that a proper logic of implication should be not only relevant, but also constructive and nonmonotonic. This leads me to select as a plausible candidate LL, a fragment of linear logic that differs from R in that it rejects both contraction and distribution.
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  31.  8
    A Characterization of Logical Constants Is Possible.Gila Sher - 2010 - Theoria : An International Journal for Theory, History and Fundations of Science 18 (2):189-198.
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  32. On Rules of Inference and the Meanings of Logical Constants.Panu Raatikainen - 2008 - Analysis 68 (4):282-287.
    In the theory of meaning, it is common to contrast truth-conditional theories of meaning with theories which identify the meaning of an expression with its use. One rather exact version of the somewhat vague use-theoretic picture is the view that the standard rules of inference determine the meanings of logical constants. Often this idea also functions as a paradigm for more general use-theoretic approaches to meaning. In particular, the idea plays a key role in the anti-realist program of (...)
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  33.  14
    The Pragmatics of the Logical Constants.Dorothy Edgington - 2006 - In Ernest Lepore & Barry Smith (eds.), The Oxford Handbook to the Philosophy of Language. Oxford University Press. pp. 768--793.
    The logical constants are technical terms, invented and precisely defined by logicians for the purpose of producing rigorous formal proofs. Mathematics virtually exhausts the domain of deductive reasoning of any complexity, and it is there that the benefits of this refined form of language are felt. Pragmatic issues may arise — issues concerning the point of making a certain statement — for there will be more or less perspicuous and illuminating ways of presenting proofs in this language, and (...)
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  34.  72
    Theories of Meaning and Logical Constants: Davidson Versus Evans.Jim Edwards - 2002 - Mind 111 (442):249-280.
    Donald Dvaidson has claimed that a theory of meaning identifies the logical constants of the object language by treating them in the phrasal axioms of the theory, and that the theory entails a relation of logical consequence among the sentences of the object language. Section 1 offers a preliminary investigation of these claims. In Section 2 the claims are rebutted by appealing to Evans's paradigm of a theory of meaning. Evans's theory is deliberately blind to any relation (...)
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  35. On The Sense and Reference of A Logical Constant.Harold Hodes - 2004 - Philosophical Quarterly 54 (214):134-165.
    Logicism is, roughly speaking, the doctrine that mathematics is fancy logic. So getting clear about the nature of logic is a necessary step in an assessment of logicism. Logic is the study of logical concepts, how they are expressed in languages, their semantic values, and the relationships between these things and the rest of our concepts, linguistic expressions, and their semantic values. A logical concept is what can be expressed by a logical constant in a language. So (...)
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  36. Interpretation and the Logical Constants.Fabrice Pataut - unknown
    May the theory of radical interpretation developed by Donald Davidson on the basis of Quine's arguments for the indeterminacy of translation help fix the meaning of the logical constants? In particular, may the theory exclude ways of conferring meaning on the constants which, although developed within the Davidsonian framework, would lead to unexpected results? Could an interpreter fix the meaning of the constants in a non classical way, although still in accordance with the guiding principles of (...)
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  37. Classical Harmony: Rules of Inference and the Meaning of the Logical Constants.Peter Milne - 1994 - Synthese 100 (1):49 - 94.
    The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of Dummett, Prawitz, Tennant, and others, by the addition of harmony constraints. Introduction and elimination rules for a logical constant must be in harmony. By deploying harmony constraints, these authors have arrived at logics no stronger than intuitionist propositional logic. Classical logic, they maintain, cannot (...)
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  38. On the Meanings of the Logical Constants and the Justifications of the Logical Laws.Per Martin-Löf - 1996 - Nordic Journal of Philosophical Logic 1 (1):11-60.
  39. Logic, Reasoning and the Logical Constants (Engl Version of "Logica, Ragionamento E Constanti Logische".Pascal Engel - unknown
    This paper tries to integrate a psychological account of propositional reasoning and a realistic conception of logical constants. I argue that the harmony between the norms of reasoning given by the semantics of ordinary logic and the psychology of reasoning holds good.
     
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  40. Constructions, Proofs and the Meaning of Logical Constants.Göran Sundholm - 1983 - Journal of Philosophical Logic 12 (2):151 - 172.
  41.  25
    The proof-explanation of logical constants is logically neutral.Goran Sundholm - 2004 - Revue Internationale de Philosophie 4:401-410.
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  42. Five Observations Concerning the Intended Meaning of the Intuitionistic Logical Constants.Gustavo Fernández Díez - 2000 - Journal of Philosophical Logic 29 (4):409-424.
    This paper contains five observations concerning the intended meaning of the intuitionistic logical constants: (1) if the explanations of this meaning are to be based on a non-decidable concept, that concept should not be that of 'proof'; (2) Kreisel's explanations using extra clauses can be significantly simplified; (3) the impredicativity of the definition of → can be easily and safely ameliorated; (4) the definition of → in terms of 'proofs from premises' results in a loss of the inductive (...)
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  43.  56
    Popper's Theory of Deductive Inference and the Concept of a Logical Constant.Peter Schroeder-Heister - 1984 - History and Philosophy of Logic 5 (1):79-110.
    This paper deals with Popper's little-known work on deductive logic, published between 1947 and 1949. According to his theory of deductive inference, the meaning of logical signs is determined by certain rules derived from ?inferential definitions? of those signs. Although strong arguments have been presented against Popper's claims (e.g. by Curry, Kleene, Lejewski and McKinsey), his theory can be reconstructed when it is viewed primarily as an attempt to demarcate logical from non-logical constants rather than as (...)
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  44.  21
    Substructural Logics, Pragmatic Enrichment, and the Inferential Role of Logical Constants.Pilar Terrés Villalonga - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (6):628-654.
    ABSTRACT My aim in this paper is to present a pluralist thesis about the inferential role of logical constants, which embraces classical, relevant, linear and ordered logic. That is, I defend that a logical constant c has more than one correct inferential role. The thesis depends on a particular interpretation of substructural logics' vocabulary, according to which classical logic captures the literal meaning of logical constants and substructural logics encode a pragmatically enriched sense of those (...)
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  45. The Pragmatics of the Logical Constants.Dorothy Edgington - 2006 - In Ernest Lepore & Barry C. Smith (eds.), The Oxford Handbook of Philosophy of Language. Oxford University Press.
     
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  46.  33
    Truth as a Logical Constant, with an Application to the Principle of Excluded Middle.J. E. Wiredu - 1975 - Philosophical Quarterly 25 (101):305-317.
  47.  11
    What Is A Logical Constant? A Topological Suggestion.Ulrich Metschl - 1997 - In Julian Nida-Rümelin & Georg Meggle (eds.), Analyomen 2, Volume I: Logic, Epistemology, Philosophy of Science. De Gruyter. pp. 131-147.
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  48.  16
    The Meanings of the Logical Constants in Deontic Logic.Sean Coyle - 1999 - Ratio Juris 12 (1):39-58.
  49.  16
    The Other Logical Constant.H. Palmer - 1958 - Mind 67 (265):50-59.
  50. Uniform Proof-Theoretic Semantics for Logical Constants.Peter Schroeder-Heister - 1991 - Journal of Symbolic Logic 56:1142.
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