In:Exploring Dialogue: Selected essays on argumentation by Erik C. W. Krabbe with contributions by Jan Albert van Laar
Edited by Erik C.W. Krabbe and Jan Albert van Laar
[Argumentation in Context 23] 2026
► pp. 238–268
Chapter 14Formal systems of dialogue rules
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Article outline
- 1.A survey of some options in constructing a formal system of
dialogue rules
- 1.1Material versus formal dialogues
- 1.2The choice of a language: Rules for logical constants
- 1.3Initial positions: Attacks on elementary statements
- 1.4Ending a dialogue: Winning and losing
- 1.5How to curb repetitive behavior: Structural rules
- 1.6Chains of arguments
- 2.A system of dialogue rules that yields intuitionistic
logic
- 2.1Preliminaries
- 2.2From strategies to deductions
- 2.3From deductions to strategies
- 3.Equivalence of Ei and other types of
system
- 3.1From Ei to E
- 3.2From E to D
- Final remarks
Notes References
References (30)
Barth, E. M. and E. C. W. Krabbe. 1982. From
Axiom to Dialogue. A Philosophical Study of Logics and
Argumentation, Walter de Gruyter, Berlin.
Beth, E. W. 1962. Formal
Methods. An Introduction to Symbolic Logic and to the Study
of Effective Operations in Arithmetic and
Logic, Reidel, Dordrecht.
Felscher, W. 1982. ‘Dialogues
as a Foundation for Intuitionistic
Logic’, preprint to appear
in: D. M. Gabbay and F. Günthner (eds.), Handbook
of Philosophical
Logic, III, Reidel, Dordrecht, forthcoming.
Gethmann, C. F. (ed.): 1980. Theorie
des wissenschaftlichen
Argumentierens, Suhrkamp, Frankfurt-on-Main.
(ed.): 1982. Logik
und Pragmatik. Zum Rechtfertigungsproblem logischer
Sprachregeln, Suhrkamp, Frankfurt-on-Main.
Haas, G. 1980. ‘Hypothesendialoge,
konstruktiver Sequenzenkalkül und die Rechtfertigung von
Dialograhmenregeln’, in: C. F. Gethmann (ed.), (1980) pp. 136–161.
Kamlah, W. and P. Lorenzen. 1973. Logische
Propädeutik. Vorschule des vernünftigen
Redens, 2nd
ed., Bibliographisches Institut, Mannheim, etc. (1st ed.:
1967).
1972. Eine
abstrakte Theorie von
Dialogspielen (Inaugural Dissertation), Freiburg.
Krabbe, E. C. W. 1982. Studies
in Dialogical
Logic (dissertation), Groningen.
1982c. ‘Formal
Dialectics as Immanent Criticism of Philosophical
Systems’, in: E. M. Barth and J. L. Martens (eds.), Argumentation.
Approaches to Theory Formation. Containing the Contributions
to the Groningen Conference on the Theory of Argumentation,
October 1978. John Benjamins, Amsterdam, pp. 233–243. Reprinted
in Krabbe (1982), pp. 70–79.
1985. ‘Noncumulative
Dialectical Models and Formal
Dialectics,’ to appear in
the Journal of Philosophical
Logic. An earlier version appeared
in Krabbe (1982), pp. 177–205.
Lorenz, K. 1961. Arithmetik
und Logik als
Spiele (Inaugural Dissertation), Kiel. Selections
reprinted in: P. Lorenzen and K. Lorenz (1978), pp. 17–95.
1968. ‘Dialogspiele
als semantische Grundlage von
Logikkalkülen’, Archiv fur
mathematische Logik und
Grundlagenforschung 11, 32–55 and 73–100. Reprinted
in: P. Lorenzen and K. Lorenz (1978), pp. 96–162.
1973. ‘Die
dialogische Rechtfertigung der effektiven
Logik’, in: F. Kambartel and J. Mittelstrass (eds.), Zum
normativen Fundament der
Wissenschaft, Athenäum, Frankfurt-on-Main, pp. 250–280. Reprinted
in: P. Lorenzen and K. Lorenz (1978), pp. 179–209.
Lorenzen, P. 1960. ‘Logik
und
Agon’, in: Atti
del XII Congresso di
Filosofia (Venezia,
12–18 Settembre
1958), IV: Logica,
linguaggio e
comunicazione, Sansoni, Florence, pp. 187–194. Reprinted
in: P. Lorenzen and K. Lorenz (1978), pp. 1–8.
Lorenzen, P. and O. Schwemmer. 1975. Konstruktive
Logik, Ethik und
Wissenschaftstheorie, 2nd.
ed., Bibliographisches Institut, Mannheim, etc. (1st ed.,
1973).
Mayer, G. 1981. Die
Logik im Deutschen Konstruktivismus. Die Rolle formaler
Systeme im Wissenschaftsaufbau der Erlanger und Konstanzer
Schule (Inaugural Dissertation), München.
Stegmüller, W. and M. Varga von Kibéd. 1984. Strukturtypen
der
Logik, Springer, Berlin, etc., Probleme und Resultate
der Wissenschaftstheorie und Analytischen Philosophie,
III.
