Abstract
Starting from a typology of argumentative forms proposed in linguistics by Apothéloz, and observing that the four basic forms can be organized in a square of oppositions, we present a logical language, somewhat inspired from generalized possibilistic logic, where these basic forms can be expressed. We further analyze the interplay between the formulas of this language by means of two hexagons of oppositions. We then outline the inference machinery underlying this logic, and discuss its interest for argumentation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Apothéloz, D.: Esquisse d’un catalogue des formes de la contre-argumentation. Travaux du Centre de Recherches Sémiologiques 57, 69–86 (1989)
Benferhat, S., Dubois, D., Prade, H.: Practical handling of exception-tainted rules and independence information in possibilistic logic. Applied Intelligence 9, 101–127 (1998)
Béziau, J.-Y.: The power of the hexagon. Logica Universalis (2012)
Dubois, D., Prade, H.: Possibilistic logic: a retrospective and prospective view. Fuzzy Sets and Systems 144, 3–23 (2004)
Dubois, D., Prade, H.: Generalized Possibilistic Logic. In: Benferhat, S., Grant, J. (eds.) SUM 2011. LNCS, vol. 6929, pp. 428–432. Springer, Heidelberg (2011)
Dubois, D., Prade, H.: From Blanchés hexagonal organization of concepts to formal concept analysis and possibility theory. Logica Universalis 6(1), 149–169 (2012)
Dubois, D., Prade, H., Schockaert, S.: Règles et métarègles en théorie des possibilités. De la logique possibiliste à la programmation par ensembles-réponses. Revue d’Intelligence Artificielle 26(1-2), 63–83 (2012)
Lafage, C., Lang, J., Sabbadin, R.: A logic of supporters. In: Information, Uncertainty and Fusion. In: Bouchon, B., Yager, R.R., Zadeh, L.A. (eds.) pp. 381–392. Kluwer (1999)
Moretti, A.: Argumentation theory and the geometry of opposition (abstract). In: 7th Conf. of the Inter. Soc. for the Study of Argumentation, ISSA 2010 (2010)
Parsons, T.: The traditional square of opposition. The Stanford Encyclopedia of Philosophy (Fall 2008 Edition), Zalta, E.N. (ed.) (2008), http://plato.stanford.edu/archives/fall2008/entries/square/
Quiroz, G., Apothéloz, D., Brandt, P.: How counter-argumentation works. In: van Eemeren, F.H., Grootendorst, R., Blair, J.A., Willard, C.A. (eds.) Argumentation Illuminated, pp. 172–177. International Centre for the Study of Argumentation (SICSAT), Amsterdam (1992)
Salavastru, C.: Logique, Argumentation, Interprétation. L’Harmattan, Paris (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Amgoud, L., Prade, H. (2012). Towards a Logic of Argumentation. In: Hüllermeier, E., Link, S., Fober, T., Seeger, B. (eds) Scalable Uncertainty Management. SUM 2012. Lecture Notes in Computer Science(), vol 7520. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33362-0_43
Download citation
DOI: https://doi.org/10.1007/978-3-642-33362-0_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33361-3
Online ISBN: 978-3-642-33362-0
eBook Packages: Computer ScienceComputer Science (R0)