Abstract
This chapter will provide a more technical approach to the standard (non-CTT) dialogical framework at the play level. The next chapter (5) will do the same at the strategy level. It will then be possible to introduce local reasons in the dialogues and thus start making it explicit that dialogues are games of giving and asking for reasons; in this sense, the elements contributing to the meaning as use will appear in the object language. The link to equality in action will then be spelled out in the following two chapters (6 and 7), based on what will be presented in the next two chapters (4 and 5).
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- 1.
This idea will remain implicit until then, appearing only when we stress that the particle rules provide the meaning of logical constants through appropriate challenges and defences.
- 2.
This aspect (player independence) is fundamental for the symmetry of the rules. See Sect. 4.3.
- 3.
- 4.
See Rahman and Redmond (2016).
- 5.
In previous literature on dialogical logic this rule has been called the Formal rule. Since here we will distinguish different formulations of this rule that yield different kind of dialogues we will use the term Copy-cat rule when we speak of the rule in standard contexts (such as in the present section)—contexts in which the constitution of the elementary propositions involved in a play is not rendered explicit. When we use the rule in a dialogical framework for CTT, as in the next chapter, we speak of the Socratic rule . However, we will continue to use the expression Copy-cat move in order to characterize moves of P that copies moves of O.
- 6.
- 7.
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Rahman, S., McConaughey, Z., Klev, A., Clerbout, N. (2018). Advanced Dialogues: Play Level. In: Immanent Reasoning or Equality in Action. Logic, Argumentation & Reasoning, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-319-91149-6_4
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