Search results for 'material implication' (try it on Scholar)

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  1. Liza Verhoeven (2007). The Relevance of a Relevantly Assertable Disjunction for Material Implication. Journal of Philosophical Logic 36 (3):339-366.score: 240.0
    In this paper Grice's requirements for assertability are imposed on the disjunction of Classical Logic. Defining material implication in terms of negation and disjunction supplemented by assertability conditions, results in the disappearance of the most important paradoxes of material implication. The resulting consequence relation displays a very strong resemblance to Schurz's conclusion-relevant consequence relation.
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  2. Stephen Barker (1997). Material Implication and General Indicative Conditionals. Philosophical Quarterly 47 (187):195-211.score: 180.0
    This paper falls into two parts. In the first part, I argue that consideration of general indicative conditionals, e.g., sentences like If a donkey brays it is beaten, provides a powerful argument that a pure material implication analysis of indicative if p, q is correct. In the second part I argue, opposing writers like Jackson, that a Gricean style theory of pragmatics can explain the manifest assertability conditions of if p, q in terms of its conventional content – (...)
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  3. Jan Heylen (forthcoming). Closure of A Priori Knowability Under A Priori Knowable Material Implication. Erkenntnis:1-22.score: 180.0
    The topic of this article is the closure of a priori knowability under a priori knowable material implication: if a material conditional is a priori knowable and if the antecedent is a priori knowable, then the consequent is a priori knowable as well. This principle is arguably correct under certain conditions, but there is at least one counterexample when completely unrestricted. To deal with this, Anderson proposes to restrict the closure principle to necessary truths and Horsten suggests (...)
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  4. Joseph S. Fulda (1989). Material Implication Revisited. American Mathematical Monthly 96 (3):247-250.score: 180.0
    Demonstrates that the "paradoxes of material implication" are only apparent, sticking entirely within the confines of classical logic.
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  5. Kazimierz Ajdukiewicz (1956). Conditional Sentence and Material Implication. Studia Logica 4 (1):135-153.score: 150.0
  6. Robert Brandom (1981). Semantic Paradox of Material Implication. Notre Dame Journal of Formal Logic 22 (2):129-132.score: 150.0
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  7. Lee C. Archie (1979). A Simple Defense of Material Implication. Notre Dame Journal of Formal Logic 20 (2):412-414.score: 150.0
  8. C. I. Lewis (1917). The Issues Concerning Material Implication. Journal of Philosophy, Psychology and Scientific Methods 14 (13):350-356.score: 150.0
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  9. E. J. Ashworth (1972). Strict and Material Implication in the Early Sixteenth Century. Notre Dame Journal of Formal Logic 13 (4):556-560.score: 150.0
  10. Erik Stenius (1947). Natural Implication and Material Implication. Theoria 13 (2-3):136-156.score: 150.0
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  11. Claro R. Ceniza (1988). Material Implication and Entailment. Notre Dame Journal of Formal Logic 29 (4):510-519.score: 150.0
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  12. Peter Gibbins (1979). Material Implication, the Sufficiency Condition, and Conditional Proof. Analysis 39 (1):21 - 24.score: 150.0
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  13. E. J. Ashworth (1968). Petrus Fonseca and Material Implication. Notre Dame Journal of Formal Logic 9 (3):227-228.score: 150.0
  14. Brendan S. Gillon (1995). Peirce's Challenge to Material Implication as a Model of 'If'. Analysis 55 (4):280 - 282.score: 150.0
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  15. Thomas J. Richards (1969). The Harmlessness of Material Implication. Mind 78 (311):417-422.score: 150.0
  16. Theodore C. Denise (1962). Material Implication Re-Examined. Mind 71 (281):62-68.score: 150.0
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  17. Gary M. Hardegree (1981). Material Implication in Orthomodular (and Boolean) Lattices. Notre Dame Journal of Formal Logic 22 (2):163-182.score: 150.0
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  18. J. O. Nelson (1966). Is Material Implication Inferentially Harmless? Mind 75 (300):542-551.score: 150.0
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  19. Robert J. Farrell (1979). Material Implication, Confirmation, and Counterfactuals. Notre Dame Journal of Formal Logic 20 (2):383-394.score: 150.0
  20. M. Mullick (1971). Does Ockham Accept Material Implication? Notre Dame Journal of Formal Logic 12 (1):117-124.score: 150.0
  21. Colin Roberts (1974). Dale on Material Implication. Analysis 35 (1):27 - 28.score: 150.0
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  22. A. J. Dale (1974). A Defence of Material Implication. Analysis 34 (3):91 - 95.score: 150.0
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  23. Edward S. Robinson (1970). On an Alleged Paradox of Consistency and Material Implication. Critica 4 (11/12):111 - 122.score: 150.0
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  24. Philotheus Boehner (1951). Does Ockham Know of Material Implication? Franciscan Studies 11 (3-4):203-230.score: 150.0
  25. Charles F. Kielkopf (1972). The Binary Operation Called "Material Implication" Soberly Understood. Mind 81 (323):338-347.score: 150.0
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  26. Joseph T. Clark (1952). Boethius and Material Implication. Philosophical Studies of the American Catholic Philosophical Association 3:37-38.score: 150.0
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  27. John J. Doyle (1954). Material Implication and Intentionality. New Scholasticism 28 (3):272-285.score: 150.0
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  28. W. C. Wilcox (1970). On Infinite Matrices and the Paradoxes of Material Implication. Notre Dame Journal of Formal Logic 11 (2):254-256.score: 150.0
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  29. Alonzo Church (1972). Review: J. Knox, Material Implication and "If...Then. [REVIEW] Journal of Symbolic Logic 37 (1):185-185.score: 150.0
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  30. Joseph T. Clark (1953). Review: Philotheus Boehner, Does Ockham Know of Material Implication? [REVIEW] Journal of Symbolic Logic 18 (4):334-335.score: 150.0
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  31. Frederic B. Fitch (1949). Review: Erik Stenius, Natural Implication and Material Implication. [REVIEW] Journal of Symbolic Logic 14 (3):198-198.score: 150.0
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  32. Walter Schroyens (2010). Logic and/in Psychology: The Paradoxes of Material Implication and Psychologism in the Cognitive Science of Human Reasoning. In Mike Oaksford & Nick Chater (eds.), Cognition and Conditionals: Probability and Logic in Human Thinking. Oup Oxford.score: 150.0
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  33. T. J. Smiley (1957). Review: Kazimierz Ajdukiewicz, Okres Warunkowy a Implikacja Materialna; Kazimierz Ajdukiewicz, Conditional Sentence and Material Implication; K. Ajudkiewicz, Uslovnoe Predlozenie I Material'Naa Implikacia. [REVIEW] Journal of Symbolic Logic 22 (4):407-408.score: 150.0
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  34. Martin M. Tweedale (1971). Review: E. J. Ashworth, Propositional Logic in the Sixteenth and Early Seventeenth Centuries; E. J. Ashworth, Petrus Fonseca and Material Implication. [REVIEW] Journal of Symbolic Logic 36 (2):323-324.score: 150.0
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  35. J. E. Wiredu (1971). Material Implication And'if... Then.'". International Logic Review 3.score: 150.0
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  36. Robert K. Meyer (2008). Ai, Me and Lewis (Abelian Implication, Material Equivalence and C I Lewis 1920). Journal of Philosophical Logic 37 (2):169 - 181.score: 132.0
    C I Lewis showed up Down Under in 2005, in e-mails initiated by Allen Hazen of Melbourne. Their topic was the system Hazen called FL (a Funny Logic), axiomatized in passing in Lewis 1921. I show that FL is the system MEN of material equivalence with negation. But negation plays no special role in MEN. Symbolizing equivalence with → and defining ∼A inferentially as A→f, the theorems of MEN are just those of the underlying theory ME of pure (...) equivalence. This accords with the treatment of negation in the Abelian l-group logic A of Meyer and Slaney (Abelian logic. Abstract, Journal of Symbolic Logic 46, 425–426, 1981), which also defines ∼A inferentially with no special conditions on f. The paper then concentrates on the pure implicational part AI of A, the simple logic of Abelian groups. The integers Z were known to be characteristic for AI, with every non-theorem B refutable mod some Zn for finite n. Noted here is that AI is pre-tabular, having the Scroggs property that every proper extension SI of AI, closed under substitution and detachment, has some finite Zn as its characteristic matrix. In particular FL is the extension for which n = 2 (Lewis, The structure of logic and its relation to other systems. The Journal of Philosophy 18, 505–516, 1921; Meyer and Slaney, Abelian logic. Abstract. Journal of Symbolic Logic 46, 425–426, 1981; This is an abstract of the much longer paper finally published in 1989 in G. G. Priest, R. Routley and J. Norman, eds., Paraconsistent logic: essays on the inconsistent, Philosophica Verlag, Munich, pp. 245–288, 1989). (shrink)
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  37. Joseph T. Clark (1952). Material and Formal Implication. Philosophical Studies of the American Catholic Philosophical Association 3:31-32.score: 120.0
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  38. Lauchlan Chipman (1971). Material and Illative Implication. Mind 80 (318):179-193.score: 120.0
  39. A. N. Prior (1961). Some Axiom-Pairs for Material and Strict Implication. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 7 (1-5):61-65.score: 120.0
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  40. J. Jay Zeman (1972). Review: A. N. Prior, Some Axiom-Pairs for Material and Strict Implication. [REVIEW] Journal of Symbolic Logic 37 (1):184-185.score: 120.0
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  41. Gunnar Björnsson (2008). Strawson on 'If' and ⊃. South African Journal of Philosophy 27 (3):24-35.score: 90.0
    This paper is concerned with Sir Peter Strawson’s critical discussion of Paul Grice’s defence of the material implication analysis of conditionals. It argues that although Strawson’s own ‘consequentialist’ suggestion concerning the meaning of conditionals cannot be correct, a related and radically contextualist account is able to both account for the phenomena that motivated Strawson’s consequentialism, and to undermine the material implication analysis by providing a simpler account of the processes that we go through when interpreting conditionals.
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  42. John Corcoran (1973). Meanings of Implication. Dialogos 9 (1):59-76.score: 72.0
    Thirteen meanings of 'implication' are described and compared. Among them are relations that have been called: logical implication, material implication,deductive implication, formal implication, enthymemic implication, and factual implication. In a given context, implication is the homogeneous two-place relation expressed by the relation verb 'implies'. For heuristic and expository reasons this article skirts many crucial issues including use-mention, the nature of the entities that imply and are implied, and the processes by which (...)
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  43. Gunnar Björnsson (2011). Towards a Radically Pragmatic Theory of If-Conditionals. In K. P. Turner (ed.), Making Semantics Pragmatic (CRiSPI, Vol. 24). Emerald.score: 60.0
    It is generally agreed that constructions of the form “if P, Q” are capable of conveying a number of different relations between antecedent and consequent, with pragmatics playing a central role in determining these relations. Controversy concerns what the conventional contribution of the if-clause is, how it constrains the pragmatic processes, and what those processes are. In this essay, I begin to argue that the conventional contribution of if-clauses to semantics is exhausted by the fact that these clauses introduce a (...)
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  44. David Sherry (2006). Formal Logic for Informal Logicians. Informal Logic 26 (2):199-220.score: 60.0
    Classical logic yields counterintuitive results for numerous propositional argument forms. The usual alternatives (modal logic, relevance logic, etc.) generate counterintuitive results of their own. The counterintuitive results create problems—especially pedagogical problems—for informal logicians who wish to use formal logic to analyze ordinary argumentation. This paper presents a system, PL– (propositional logic minus the funny business), based on the idea that paradigmatic valid argument forms arise from justificatory or explanatory discourse. PL– avoids the pedagogical difficulties without sacrificing insight into argument.
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  45. Peter Downing (1975). Conditionals, Impossibilities and Material Implications. Analysis 35 (3):84 - 91.score: 60.0
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  46. Joseph S. Fulda (1992). Material Implications. American Mathematical Monthly 99 (5):480.score: 60.0
  47. C. Pizzi & T. Williamson (2005). Conditional Excluded Middle in Systems of Consequential Implication. Journal of Philosophical Logic 34 (4):333 - 362.score: 54.0
    It is natural to ask under what conditions negating a conditional is equivalent to negating its consequent. Given a bivalent background logic, this is equivalent to asking about the conjunction of Conditional Excluded Middle (CEM, opposite conditionals are not both false) and Weak Boethius' Thesis (WBT, opposite conditionals are not both true). In the system CI.0 of consequential implication, which is intertranslatable with the modal logic KT, WBT is a theorem, so it is natural to ask which instances of (...)
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  48. Claudio Pizzi & Timothy Williamson (1997). Strong Boethius' Thesis and Consequential Implication. Journal of Philosophical Logic 26 (5):569-588.score: 54.0
    The paper studies the relation between systems of modal logic and systems of consequential implication, a non-material form of implication satisfying "Aristotle's Thesis" (p does not imply not p) and "Weak Boethius' Thesis" (if p implies q, then p does not imply not q). Definitions are given of consequential implication in terms of modal operators and of modal operators in terms of consequential implication. The modal equivalent of "Strong Boethius' Thesis" (that p implies q implies (...)
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  49. G. N. Georgacarakos (1980). Equationally Definable Implication Algebras for Orthomodular Lattices. Studia Logica 39 (1):5 - 18.score: 54.0
    The fact that it is possible to define three different material conditionals in orthomodular lattices suggests that there exist three different orthomodular logics whose conditionals are material conditionals and whose models are orthomodular lattices. The purpose of this paper is to provide equationally definable implication algebras for each of these material conditionals.
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  50. Lloyd Humberstone (2007). Identical Twins, Deduction Theorems, and Pattern Functions: Exploring the Implicative BCsK Fragment of S. [REVIEW] Journal of Philosophical Logic 36 (5):435 - 487.score: 52.0
    We recapitulate (Section 1) some basic details of the system of implicative BCSK logic, which has two primitive binary implicational connectives, and which can be viewed as a certain fragment of the modal logic S5. From this modal perspective we review (Section 2) some results according to which the pure sublogic in either of these connectives (i.e., each considered without the other) is an exact replica of the material implication fragment of classical propositional logic. In Sections 3 and (...)
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