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. 310–325
Chapter 17Arguments, proofs, and dialogues
This content is being prepared for publication; it may be subject to changes.
Article outline
- 1.Proof and argument
- 2.Mathematical proof
- 3.Formal proof
- 4.The surplus value of a proof
- 5.Proof and implicit dialogue
- 6.Proof and explicit dialogue
- 7.The genesis of proof
Acknowledgements Notes References
References (24)
Aristotle (1976). Posterior
Analytics. Topica (H. Tredennick & E. S. Forster, Trans.). Cambridge, MA: Harvard University Press (Loeb
Classical
Library). (Original work
published 1960).
Barth, E. M., & E. C. W. Krabbe (1982). From
Axiom to Dialogue. A Philosophical Study of Logics and
Argumentation. Berlin: Walter de Gruyter.
Barth, E. M., & J. L. Martens (Eds.) (1982). Argumentation:
Approaches to Theory Formation. Containing the Contributions
to the Groningen Conference on the Theory of Argumentation,
October
1978. Amsterdam: John Benjamins.
Frege, G. (1879). Begriffsschrift,
eine der arithmetischen nachgebildete Formelsprache des
reinen
Denkens. Halle: Louis Nebert, Reprinted
in: G. Frege, Begriffsschrift
und andere
Aufsätze, Vol. 2, (I. Angelelli Ed.). Hildesheim: Georg Olms:.
Haas, G. (1984). Konstruktive
Einführung in die formale
Logik¨ Mannheim: Bibliographisches Institut.
Krabbe, E. C. W. (1985). Formal
systems of dialogue
rules. Synthese, 63: 295–328 [= Ch.
14 in this volume].
Krabbe, E. C W. (1991). Quod erat demonstrandum: Wat
kan en mag een argumentatietheorie zeggen over
bewijzen? [QED: What can and may a theory of
argumentation say about
proofs?]. In M. M. H. Bax, & W. Vuijk (Eds.), Thema’s
in de Taalbeheersing: Lezingen van het
VIOT-taalbeheersingscongres gehouden op 19, 20 en 21
december 1990 aan de Rijksuniversiteit
Groningen (pp. 8–16). Dordrecht: ICG.
Lakatos, I. (1976). Proofs
and Refutations: The Logic of Mathematical
Discovery. (J. Worrall & E. Zahar Eds.). Cambridge: Cambridge University Press.
Prawitz, D. (1971). Ideas
and results in proof
theory. In J. E. Fenstad (Ed.), Proceedings
of the Second Scandanavian Logic
Symposium (pp. 235–307). Amsterdam: North-Holland.
(1981). Philosophical
aspects of proof
theory. In G. Fløistad & G. H. von Wright (Eds.), Contemporary
Philosophy. A New Survey I: Philosophy of
Language/Philosophical
Logic (pp. 235–277). The Hague: Martinus Nijhoff.
Stegmüller, W., & M. Varga von Kibéd. (1984). Probleme
und Resultate der Wissenschaftstheorie und Analytischen
Philosophie III: Strukturtypen der
Logik. Berlin: Springer.
van Dalen, D. (1978). Filosofische grondslagen van de
wiskunde [Philosophical Foundations of
Mathematics]. Assen: Van Gorcum.
van Eemeren, F. H., & R. Grootendorst (1984). Speech
Acts in Argumentative Discussions. A Theoretical Model for
the Analysis of Discussions Directed Towards Solving
Conflicts of
Opinion. Dordrecht: Foris.
(1992). Argumentation,
Communication, and Fallacies: A Pragma-Dialectical
Perspective Mahwah, NJ: Lawrence Erlbaum Associates.
van Eemeren, F. H., R. Grootendorst & T. Kruiger (1983). Argumentatieleer 1: Het analyseren van een
betoog [Theory
of Argumentation 1: The analysis of
arguments]. Groningen: Wolters-Noordhoff.
(1987). Handbook
of Argumentation Theory: A Critical Survey of Classical
Backgrounds and Modern
Studies. Dordrecht: Foris.
van Eemeren, F. H., R. Grootendorst, A. F. Snoeck Henkemans, J. A. Blair, R. H. Johnson, E. C. W. Krabbe, C. Plantin, D. N. Walton, C. A. Willard, J. H. Woods & D. Zarefsky (1996). Fundamentals
of Argumentation Theory: A Handbook of Historical
Backgrounds and Contemporary
Developments. Mahwah, NJ: Lawrence Erlbaum.
