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About this topic
Summary A logical connective is anything that joins smaller logical expressions into larger ones.  There are any number of logical connectives, depending on which logic one is using.  The subcategories here (with the obvious exception of the miscellaneous leaf node) are most appropriate for classical logic, and logics which depart from classical logic only modestly, where there is a widely held intuition (with the exception of the conditional) that the linguistic connectives, "and," "or," and "not," are, at least in most respects, the equivalents of the formal logical connectives, conjunction, disjunction, and negation.  However, even in classical propositional logic, there is the Sheffer stroke and the dagger, which allow the axiomatization of propositional logic with just one connective, but have no clear linguistic equivalent.   As one moves further afield from classical logic, along various dimensions, one will soon discover that the variety of logical connectives is limited only by the mathematical ingenuity of the human mind.  This might help explain why--with the exception of "conditionals"--there are (currently) far more entries in the miscellaneous category than there are in any of the more standard categories.
Key works Given the above variety, as discussed, there are separate key works for each logic, although there are a few multi-volume works which attempt to be all-inclusive and cover the enormous variety of logics, their operators, and their semantics.
Introductions See, key works, above.  Only the best-known logics have works that can fairly be called introductions.
Related categories
Subcategories:
Negation* (154)
Conditionals* (1,708 | 418)
Disjunction* (52)
Conjunction* (23)
See also:

319 found
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1 — 50 / 319
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  1. Conservative Translations.A. Feitosa Hércules & M. Loffredo D'Ottaviano Itala - 2001 - Annals of Pure and Applied Logic 108 (1-3):205-227.
    In this paper we introduce the concept of conservative translation between logics. We present some necessary and sufficient conditions for a translation to be conservative and study some general properties of logical systems, these properties being characterized by the existence of conservative translations between the systems. We prove that the class constituted by logics and conservative translations between them determines a co-complete subcategory of the bi-complete category constituted by logics and translations.
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  2. Nineteenth Century British Logic on Hypotheticals, Conditionals, and Implication.Francine F. Abeles - 2013 - History and Philosophy of Logic 35 (1):1-14.
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  3. Review: A. S. Kahr, Edward F. Moore, Hao Wang, Entscheidungsproblem Reduced to the $Forallexistsforall$ Case. [REVIEW]W. Ackermann - 1962 - Journal of Symbolic Logic 27 (2):225-225.
  4. Another Negation of Negation.F. J. Adelmann - 1972 - Studies in Soviet Thought 12 (3):270-281.
    In discussing questions of free will, Soviet philosophers fail to distinguish conditions from causes. This makes them unable to understand the very opponents they like to criticize.
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  5. The Relation Between Negation in Linguistics, Logic and Psychology, a Provisional Conclusion.Le'O. Apostel - 1972 - Logique Et Analyse 15 (57-58):333-401.
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  6. Some Questions On Negation And Possibility.Sidney Axinn - 2002 - Florida Philosophical Review 2 (1):53-59.
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  7. Michel Delsol, "Hasard, Ordre Et Finalité En Biologie" John E. Cunningham "Négation de la Négation". [REVIEW]Francisco J. Ayala - 1974 - The Thomist 38 (2):397.
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  8. Does Seven-Fold Predication Equal Four-Cornered Negation Reversed?Archie J. Bahm - 1957 - Philosophy East and West 7 (3/4):127-130.
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  9. Negation and Abstention: Two Theories of Allowing.Jonathan Bennett - 1993 - Ethics 104 (1):75-96.
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  10. The Concept of Negation.S. Bhatt - 1978 - Indian Philosophical Quarterly 5 (3):473-476.
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  11. Opposition et négation.Robert Blanché - 1957 - Revue Philosophique de la France Et de l'Etranger 147:187 - 216.
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  12. Modus Ponens Defended.Justin Bledin - 2015 - Journal of Philosophy 112 (2):57-83.
    Is modus ponens valid for the indicative conditional? McGee [1985] famously presents several alleged counterexamples to this inference rule. More recently, Kolodny and MacFarlane [2010] and Willer [2010] argue that modus ponens is unreliable in certain hypothetical contexts. However, none of these attacks undermines an informational conception of logic on which modus ponens is valid.
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  13. The Law of the Negation of Negation.J. M. Bochenski - 1963 - In Joseph M. Bochenski (ed.), The Dogmatic Principles of Soviet Philosophy (as of 1958). Dordrecht: Holland, D. Reidel Pub. Co.. pp. 22--22.
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  14. Dunkles Licht: Über Ikonische Negation.Gottfried Boehm - 2015 - In Andreas Speer, Wolfram Hogrebe & Markus Gabriel (eds.), Das Neue Bedürfnis Nach Metaphysik / the New Desire for Metaphysics. De Gruyter. pp. 239-260.
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  15. Anthropological Objects and Negation.Marie-Jeanne Borel - 1992 - Argumentation 6 (1):7-27.
    Ever since Kant, the possibility of having objects of knowledge has been one of the most basic anthropological questions (“what can I know?”). For the logician, the linguist, or the semiologist who studies natural language, negation is one of these objects. However, as an operation and as a symbol, it has the paradoxical property of not being able to be objectivized in the discourse that treats it without being used in this construction. Of course, it is an entirely general problem (...)
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  16. Negation, Concession and Refutation in Counter-Argumentative Composition by Pupils From 8 to 12 Years Old and Adults.Dominique Guy Brassart - 1992 - Argumentation 6 (1):77-98.
    In a theoretical first part we attempt to articulate the notions of concession, refutation and negation for monological linguistic activity, on the basis among other things of Mœschler's work on conversation. We distinguish the illocutionary act of refutation and the complex intervention of refutation, concession-invention, concession-repetition and concession-quotation. In a second part we analyze the place and role of (descriptive) negation in counter-argumentative texts written by 8- to 12-year-old pupils and adults in an artificial situation. We consider phenomena observed by (...)
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  17. Superlatif Et Négation. Comment Dire la Transcendance?S. Breton - 1994 - Revue des Sciences Philosophiques Et Théologiques 78 (2):193-202.
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  18. The Problem of Negation.G. Buchdahl - 1961 - Philosophy and Phenomenological Research 22 (2):163-178.
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  19. What is Hume's Doctrine of Negation.Robert W. Burch - 1976 - International Logic Review 7:236-242.
  20. To Be and Not to Be Negation and Metadrama in Hamlet.James L. Calderwood - 1983
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  21. Antibasis Theorems for {\ Pi^ 0_1} Classes and the Jump Hierarchy.Ahmet Çevik - 2013 - Archive for Mathematical Logic 52 (1-2):137-142.
    We prove two antibasis theorems for ${\Pi^0_1}$ classes. The first is a jump inversion theorem for ${\Pi^0_1}$ classes with respect to the global structure of the Turing degrees. For any ${P\subseteq 2^\omega}$ , define S(P), the degree spectrum of P, to be the set of all Turing degrees a such that there exists ${A \in P}$ of degree a. For any degree ${{\bf a \geq 0'}}$ , let ${\textrm{Jump}^{-1}({\bf a) = \{b : b' = a \}}}$ . We prove that, (...)
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  22. Negation of “Old-Fashioned Person” and the Fonnation of “New Talent”.Xu Chang-fu - 2002 - Modern Philosophy 4:001.
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  23. Negation and Negative Properties: Reply to Richard Vallée.O. Chateaubriand - 2004 - Manuscrito 27 (1):235-242.
    I argue in §1 that there is a clear distinction between predicate negation and sentential negation and that sentential negation is a special case of predicate negation operating on the predicate ‘is true’. In §2 I reply to Richard’s objections to negative properties on the basis of the conception of properties as identity conditions presented in Chapter 12 of Logical Forms.
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  24. Negation, Affirmation and Zen Logic.Hsueh-Li Cheng - 1986 - International Philosophical Quarterly 26 (3):241-251.
  25. Assimilating Evidence: The Key to Revision?Michelene T. H. Chi - 1989 - Behavioral and Brain Sciences 12 (3):470.
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  26. Jump Equivalence of the ? 0/2 Hyperhyperimmune Sets.S. B. Cooper - 1972 - Journal of Symbolic Logic 37 (3):598-600.
  27. Multiple Negation Processing in Natural Language.Francis Corblin - 1996 - Theoria 62 (3):214-259.
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  28. Failure of Analytic Hypoellipticity in a Class of Differential Operators.Ovidiu Costin & Rodica D. Costin - 2003 - Annali della Scuola Normale Superiore di Pisa 2 (1):21-45.
    For the hypoelliptic differential operators $P={\partial ^2_ x}+\left^2$ introduced by T. Hoshiro, generalizing a class of M. Christ, in the cases of $k$ and $l$ left open in the analysis, the operators $P$ also fail to be analytic hypoelliptic =$), in accordance with Treves’ conjecture. The proof is constructive, suitable for generalization, and relies on evaluating a family of eigenvalues of a non-self-adjoint operator.
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  29. La négation comme sortie de l'ontologie.Monique David-Ménard - 2001 - Revue de Métaphysique et de Morale 2 (2):59-67.
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  30. Watergate: Government by Negation. [REVIEW]Devra Lee Davis - 1974 - Theory and Society 1 (1):111-115.
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  31. Perspectives on Negation Essays in Honour of Johan J. De Iongh on His 80th Birthday = Perspectives Sur la Négation : Hommage À Johan J. De Iongh Pour Son 80e Anniversaire. [REVIEW]H. C. M. de Swart, L. J. M. Bergman & Johan J. de Iongh - 1995
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  32. Generalized Onrno Negation.J. Michael Dunn - 1996 - In H. Wansing (ed.), Negation: A Notion in Focus. W. De Gruyter. pp. 7--3.
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  33. Star and Perp: Two Treatments of Negation.J. Michael Dunn - 1993 - Philosophical Perspectives 7:331-357.
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  34. La négation: Étude de psychologie pathologique.G. -L. Duprat - 1903 - Revue Philosophique de la France Et de l'Etranger 55:498 - 507.
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  35. La Negation: Etude de Psychologie Pathologique.G. L. Duprat - 1903 - Philosophical Review 12:675.
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  36. The Subjunctive of Purpose in Relative Clauses in Greek.Mortimer Lamson Earle - 1892 - The Classical Review 6 (03):93-95.
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  37. Knowledge, Negation, and Incompatibility.George Englebretsen - 1969 - Journal of Philosophy 66 (18):580-585.
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  38. Ethical Copula, Negation, and Responsibility Judgments.Federico L. G. Faroldi - 2016 - Synthese 193 (11):3441-3448.
    Prior’s arguments for and against seeing ‘ought’ as a copula and his considerations about normative negation are applied to the case of responsibility judgments. My thesis will be that responsibility judgments, even though often expressed by using the verb ‘to be’, are in fact normative judgments. This is shown by analyzing their negation, which parallels the behavior of ought negation.
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  39. Correction to a Definition of Negation.Frederic B. Fitch - 1984 - Journal of Symbolic Logic 49 (1):47-50.
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  40. Negation As Refutation.Melvin Fitting - unknown
    A refutation mechanism is introduced into logic programming, dual to the usual proof mechanism; then negation is treated via refutation. A four-valued logic is appropriate for the semantics: true, false, neither, both. Inconsistent programs are allowed, but inconsistencies remain localized. The four-valued logic is a well-known one, due to Belnap, and is the simplest example of Ginsberg’s bilattice notion. An efficient implementation based on semantic tableaux is sketched; it reduces to SLD resolution when negations are not involved. The resulting system (...)
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  41. Suzanne at Ste Eutrope: Negation and Narration in "La Religieuse".J. E. Fowler - 1998 - Diderot Studies 27:83 - 96.
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  42. Some Doubts About Illocutionary Negation.Richard T. Garner - 1971 - Analysis 31 (3):106 - 112.
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  43. Is It Right to Say 'Or' is a Conjunction?P. T. Geach - 1958 - Analysis 19 (6):143 - 144.
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  44. Metalinguistic Contrast in Greek: Para Comparatives and Metalinguistic Negation.Anastasia Giannakidou - manuscript
    In preparation. With Melita Stavrou, Aristole University of Thessaloniki.
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  45. Laurence R. Horn, A Natural History of Negation. [REVIEW]Brendan Gillon - 1990 - Philosophy in Review 10:181-184.
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  46. Laurence R. Horn, A Natural History of Negation Reviewed By.Brendan S. Gillon - 1990 - Philosophy in Review 10 (5):181-184.
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  47. The Negation of the Adverb in Demotic.Modechai Gilula - 1972 - Journal of the American Oriental Society 92 (3):460-465.
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  48. Logic. Of Descriptions. A New Approach to the Foundations of Mathematics and Science.Joanna Golińska-Pilarek & Taneli Huuskonen - 2012 - Studies in Logic, Grammar and Rhetoric 27:63-94.
    We study a new formal logic LD introduced by Prof. Grzegorczyk. The logic is based on so-called descriptive equivalence, corresponding to the idea of shared meaning rather than shared truth value. We construct a semantics for LD based on a new type of algebras and prove its soundness and completeness. We further show several examples of classical laws that hold for LD as well as laws that fail. Finally, we list a number of open problems. -/- .
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  49. Figures de la Négation.Caroline Jacot Grapa & Carine Trévisan - 1995
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  50. L'implication Et la Négation Vues au Travers Des méthoDes de Gentzen Et de Fitch.Jean‐Blaise Grize - 1955 - Dialectica 9 (3‐4):363-381.
    Résumé1Le rôle prlvilégié que joue l'implication « si … alors » dans la pensée donne à sa formalisation loglque une importance capitale. Mais la formalisation classique se heurte à certaines difficultés.2On montre, par la méthode L de Gentzen, que c'est la partie positive de la logique intuitionniste qui exprime au plus près l'idée intuitive de l'implication.3L'implication est liée à la négation. On est conduit à distinguer « réfutable », «absurde» et «faux».4L'analyse de ces notions peut se faire aussi par la (...)
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