Abstract
In an earlier paper, I have defined certain dialogical games consisting mostly of questions and answers.1 They are games in what is intended to be the sense employed in the mathematical theory of games. From this vantage point, the definitions so far offered are incomplete, however, in several respects, especially in that the payoffs are left partly undetermined. It is my purpose in this paper to show how the payoffs can be determined somewhat more fully and indicate what theoretical considerations the determination of the payoffs depends on.
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Notes
See ‘On the Logic of Information-Seeking Dialogues: A Model’ in W. Becker and W. Essler (eds.), Konzepte der Dialektik, Vittorio Klostermann, Frankfurt am Main, 1980, and cf. Jaakko Hintikka and Merrill B. Hintikka, ‘Sherlock Holmes Confronts Modern Logic: Toward a Theory of Information-Seeking Through Questioning’ in Else Barth (ed.) Theory of Argumentation, Benjamins, Amsterdam, 1981.
See Jaakko Hintikka, The Semantics of Questions and the Questions of Semantics (Acta Philosophica Fennica, vol. 28, no. 4), North-Holland, Amsterdam, 1976, and ‘New Foundations for a Theory of Questions’, forthcoming in the proceedings of the 1980 symposium on questions and answers, Visegrad, Hungary.
Jaakko Hintikka, Logic, Language-Games, and Information, Clarendon Press, Oxford, 1973, pp. 141–142 (especially note 33).
This conjecture is apparently proved by the results of Jaakko Hintikka and Ilkka Niiniluoto in ‘On the Surface Semantics of Quantificational Proof Procedures’, Ajatus 35 (1973), 197–215.
See Richard Robinson, ‘Begging the Question’, 1911, Analysis 31 (1971), 113–117. Robinson refers to the relevant passages in Aristotle. (I owe this reference to Russell Dancy.)
For the whole problematic in this direction, see e. g. Dag Prawitz, Natural Deduction, Almqvist & Wiksell, Stockholm, 1965, or Gais: Takeuti, Proof Theory, North-Holland, Amsterdam, 1975.
See e. g. Jaakko Hintikka, ‘Surface Information and Depth Information’ in Jaakko Hintikka and Patrick Suppes (eds.), Information and Inference, D. Reidel, Dordrecht, 1970, pp. 263–297; and cf. ‘Knowledge, Belief, and Logical Consequence’ in Jaakko Hintikka, The Intentions of Intentionality, D. Reidel, Dordrecht, 1975, pp. 179–191.
Veikko Rantala, ‘Urn Models: A New Kind of Non-Standard Model for First-Order Logic’, Journal of Philosophical Logic 4 (1975), 455–474. Cf. Jaakko Hintikka, ‘Impossible Possible Worlds Vindicated’; ibid.
Jaakko Hintikka and Esa Saarinen, ‘Information-Seeking Dialogues: Some of Their Logical Properties’, Studia Logica 32, 355–363.
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© 1984 Springer Science+Business Media Dordrecht
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Hintikka, J. (1984). Rules, Utilities, and Strategies in Dialogical Games. In: Vaina, L., Hintikka, J. (eds) Cognitive Constraints on Communication. Synthese Language Library, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9188-6_16
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DOI: https://doi.org/10.1007/978-94-010-9188-6_16
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