Abstract
We will take as one of the main issues of this paper the challenge which the dialogical approaches offer to the relation of semantics and pragmatics concerning the concept of proof (strategy) and proposition (game). While our aim here will be to present the main technical and philosophical features of what can be seen as the dialogical approach to logic, illustrated through both very well known and new dialogics, we would also like to delineate the common pragmatic attitude which constitutes the cohesive force within the dialogical universe.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barth E. M. and Krabbe E. C. W. From Axiom to Dialogue. A Philosophical Study of Logic and Argumentation. Berlin: de Gruyter. 1982.
Belnap N. (1982). “Display Logic”, Journal of Philosophical Logic 4, 375–418.
Blackburn P. (2001b). “Modal Logic as Dialogical Logic”. In S. Rahman and H. Rückert 57–93.
Bencivenga E. (1983) “Free Logics”. In D. M. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, Vol. III, 373–426. Dordrecht: D. Reidel.
Beth E. W. (1955) “Semantic Entailment and Formal Derivability”, Mededelingen van de Koninklijke Nederlandse Akademie van Wetenschappen, Afdeling Letterkunde 18:309–342.
van Benthem J. Logic in Games, 2001–2004. (Typescript available online at http://turing.wins.Uva-n1/~johan/Phil.298.html).
Blass A. (1992). “A Game Semantics for Linear Logic”, Annals of Pure and Applied Logic 56:183–220.
Blass A. (1997). “Some Semantical Aspects of Linear Logic”, Journal of the Interest Group in Pure and Applied Logic 5:487–503.
da Costa N. C. A. and Alves E. II. (1977) “A semantical Analysis of the Calculi Cn”, Notre Dame Journal of Formal Logic XVI, 4:621–630.
Dosen K. (1988). “Sequent Systems and Groupoid Models I”, Studia Logica 47:353–389.
Dubucs J. (2002). “Feasibility in Logic”. Synthese 132: 213–237.
Felscher W. (1986). “Dialogues as a Foundation for Intuitionistic Logic”. In D. M. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, Vol. III:341–372. Dordrech: D. Reidel.
Fitting M. (1983). Proof Methods for Modal and Intuitionistic Logic. Dordrecht: D. Reidel.
Fitting M. (1993). “Basic Modal Logic”. In D. M. Gabbay, C. J. Hogger and J. A. Robinson (eds), Handbook of Logic in Artificial Intelligence and Logic Programming. Oxford: Clarendon Press. 365–448.
Gabbay D. M. Labelled Deductive Systems. Oxford: Oxford University Press. 1996.
Gethmann C. F. Protologik. Untersuchungen zur formalen Semantik von Be-gründungsdiskursen. Frankfurt a. M.: Suhrkamp. 1979.
Girard J.-Y. (1993). “Linear Logic: Its Syntax and Semantics”. In J.-Y. Girard, Y. Lafont and L. Regnier (eds.), Advances in Linear Logic. Cambridge: Cambridge University Press. 1–42.
Girard J.-Y. (1998). “On the Meaning of Logical Rules I and II: Syntax vs. Semantics”, (unpublished manuscript).
Hamblin C. L. Fallacies. London: Methuen. 1970.
Hintikka J. (1975). “Impossible Possible Worlds Vindicated”. Journal of Symbolic Logic, 4:475–484. Modified and reedited in Hintikka J. and M.B., The Logic of Epistemology and the Epistemology of Logic. Dordrecht: Kluwer, 63-72, 1989.
____ The Principles of Mathematics Revisited, Cambridge: Cambridge University Press. 1996.
____ Selected Papers, Vols. I–IV. Dordrecht: Kluwer. 1996-1998.
Hintikka J. and G. Sandu. (1996). “A Revolution in Logic?”, in Nordic Journal of Philosophical Logic 1:169–183.
Hyland, M. (1997). “Game Semantics”. In A. Pitts and P. Dybjer (eds.), Semantics and Logics of Computation, Cambridge: Cambridge University Press. 131–182.
Johnson R. H. (1999). “The Relation Between Formal and Informal Logic”, Argumentation 13:265–274.
Kripke S. (1965). “Semantical Analysis on Modal Logics II; non Normal Propositional Calculi”. In Addison J.W., Henkin L. and Tarski A. Eds.) The Theory of Models. Amsterdam: North Holland Publishing Co. 206–220.
Lodder A. Dialaw. On Legal Justification and Dialogical Models of Argumentation. Law and Philosophy Library, Dordrecht: Kluwer. 1999.
Lorenz K. (1981). “Dialogical Logic”. In W. Marciszewski (ed.), Dictionary of Logic as Applied in the Study of Language. Concepts / Methods / Theories. The Hague, Boston, London: Nijhoff. 117–125.
Lorenzen P. (1958). “Logik und Agon”. Arti del XII Congresso Internationale de Filosofia, Venezia. 187–194. (Reprinted in Lorenzen and Lorenz, 1978. 1–8)
Lorenzen P. (1989). “Die Dialogische Begründung von Logikkalkülen”. In Carl Friedrich Gethmann (Editor), Theorie des Wissenschaftlichen Argumentierens. Frankfurt: Suhrkamp.
Lorenzen P. and Lorenz K. Dialogische Logik. Darmstadt: WBG. 1978.
MacColl H. Symbolic Logic and its Applications. London. 1906.
Naess A. Communication and Argument. Elements of Applied Semantics. Universitaetsforlaget. London, Oslo: Allen & Unwin. 1966.
Perelman C. and Olbrechts-Tyteca L. La nouvelle rhétorique. Paris: PUF. 1958.
Priest G. Routley R. and Norman J. (eds.) Paraconsistent Logic — Essays on the Inconsistent. München: Philosophia Verlag, München. 1986.
Rahman S. Über Dialogue, protologische Kategorien und andere Seltenheiten. Peter Lang Verlag. 1993.
____ (1999). “Ways of Understanding Hugh MacColl’s Concept of Symbolic Existence”. Nordic Journal of Philosophical Logic 3,1–2:35–58.
____ (2001). “On Frege’s Nightmare. A Combination of Intuitionistic, Free and Paraconsistent Logics”. In H. Wansing (ed.), Essays on NonClassical Logic. New Jersey, London, Singapore, Hong Kong: World Scientific. 61–85.
____ (2002). “Un desafío para las teorías cognitivas de la competencia lógica: los fundamentos pragmáticos de la semántica de la lógica linear”. In M. B. Wrigley (editor), Dialogue, Language, Rationality. A Festschrift for Marcelo Dascal Special volume of Manuscrito, XXV–2:383–432.
____ (2004). “Non-Normal Dialogics for a Wonderful World and More” in Heizmann G. (ed) The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today. Dordrecht: Springer (to appear).
Rahman S. and Carnielli W. A. (2000). “The Dialogical Approach to Paraconsistency”. Synthese 125,1–2:201–232.
Rahman S. and Bendegem J-P. van (2002). “The Dialogical Dynamics of Adaptive Paraconsistency”. In A. Carnielli, M. Coniglio, I. M. Loffredo D’Ottaviano (eds.), Paraconsistency, the Dialogical way to the Inconsistent. New-York: Marcel Dekker. 295–sq..
Rahman S. and Rückert H. (1999). “Die pragmatischen Sinn und Geltungskriterien der Dialogischen Logik beim Beweis des Adjunktionssatzes”, Philosophia Scientiae, (3),3:145–170.
Rahman S. and Rückert H. (2001a). “Dialogische Modallogik (für T, B, S4, und S5)”. Logique et analyse, 167–168:243–282.
Rahman S. and Rückert H. (eds.) (2001b). “New Perspectives in Dialogical Logic”. Special issue of Synthèse, 127.
Rahman S., Rückert H. and Fischmann M. (1997). “On Dialogues and Ontology. The Dialogical Approach to Free Logic”. Logique et analyse, 160:357–374.
Ranta A. (1988). “Proposition as Games as Types”. Synthese 76:378–394.
Rantala V. (1975). “Urn Models: a new Kind of Non-Standard Model for First-Order Logic.” Journal of Philosophical Logic, 4:455–474.
Rao B.N. (1994). A Semiotic Reconstruction of Ryle’s Critique of Cartesianism. De Gruyter.
Recanati F. (2001). “What is Said”, Synthese 128:75–91.
Rückert H. (2000). “Why Dialogical Logic?” In H. Wansing (ed.), Essays on Non-Classical Logic. New Jersey, London, Singapore, Hong Kong: World Scientific. 165–186.
Sette, A. M. (1973). “On P1”, Mathematica Japonicae, 18(13):173–180.
Toulmin S. (1958). The Uses of Argument. Cambridge: Cambridge University Press.
Vanderveken D. (1991). Meaning and Speech Acts. Cambridge: Cambridge University Press.
Walton D.N. (1984) Logical Dialogue-Games and Fallacies. Washington D.C.: University Press of America.
____ (1985). “New Directions in the Logic of Dialogue”. In D.N. Walton (ed.), The Logic of Dialogue, Synthese 63:259–274.
Wansing H. (1994). “Sequent Calculi for Normal Modal Propositional Logics.” Journal of Logic Computation 4:125–142.
Wansing H. Displaying Modal Logic. Dordrecht: D. Reidel. 1998.
Woods J. (1988). “Ideals of Rationality in Dialogic” Argumentation, 2:395–408.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer
About this chapter
Cite this chapter
Rahman, S., Keiff, L. (2005). On How to Be a Dialogician. In: Vanderveken, D. (eds) Logic, Thought and Action. Logic, Epistemology, and the Unity of Science, vol 2. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3167-X_17
Download citation
DOI: https://doi.org/10.1007/1-4020-3167-X_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2616-4
Online ISBN: 978-1-4020-3167-0
eBook Packages: Humanities, Social Sciences and LawSocial Sciences (R0)