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Logic of Dialogue

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Part of the book series: Synthese Language Library ((SLAP,volume 17))

Abstract

In this chapter, I want to show how players can use the dialogue rules to keep order within their epistemic alternatives. Let us first consider how one may check for the consistency of one’s assumptions. Let the topic of interest be the question

  1. (1)

    Who won? about which the subject already holds the assumptions

  2. (2)

    A is a player, B is a player, A is not B, and A won. Then someone comes and suggests to him

  3. (3)

    B is the player who won. The player wants to see if he can accept (3) along with his other assumptions. In order to know, he has to explain what (3) actually means. Applying (C.the), he tries the explanation

  4. (4)

    A is a player who won, any player who won is A and B is A. But a simple application of (Cand) forces him to infer ‘B is A’, contradicting his earlier assumptions. So that explanation will not work. The only alternative explanation is

  5. (5)

    B is a player who won, any player who won is B, and B is B. This time there is a problem with the second conjunct, for (C.any) allows the inference

  6. (6)

    If A is a player who won, A is B.

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© 1983 D. Reidel Publishing Company, Dordrecht, Holland

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Carlson, L. (1983). Logic of Dialogue. In: Dialogue Games. Synthese Language Library, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-3963-0_7

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  • DOI: https://doi.org/10.1007/978-94-015-3963-0_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-1951-5

  • Online ISBN: 978-94-015-3963-0

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