Skip to main content

Defeasible Argumentation in African Oral Traditions. A Special Case of Dealing with the Non-monotonic Inference in a Dialogical Framework

  • Chapter
  • First Online:
Epistemology, Knowledge and the Impact of Interaction

Part of the book series: Logic, Epistemology, and the Unity of Science ((LEUS,volume 38))

Abstract

The main claim of the present paper is to defend that some specific oral debate forms of the African traditions seem to correspond structurally speaking to non-monotonic reasoning in a way that is not that different from nowadays argumentation-based approaches of legal reasoning within the context of western juridical systems. So, the aim of this survey consists in two points: on the one hand, we will show that polemical debates in African oral traditions implement systematically a non-monotonic inference, that is closed to what Aristotle termed by “dialectical arguments”; on the other hand, we are suggesting a way to deal with non-monotonic inference in a dialogical framework.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    In recent work, Bernadette Dango (2015) suggested that the establishment of an analogy could be thought as finding some kind of mapping that displays the transition from one epistemic state to a second one, such that the latter is more specific than the first one. Moreover, according to Dango the didactic role of proverbs is to train in creating such kind of mappings. In other words, according to Dango; the way to teach and transmit knowledge gathered by a given tradition amounts teaching on how to apply it in a specific situation.

  2. 2.

    See Rahman 1993, Rahman and Rückert 2001, Rahman and Keiff 2004, Rahman et al. 2009, Rahman and Tulenheimo 2009.

  3. 3.

    Quite often it has been said that dialogical logics has a pragmatic approach to meaning. I concede that the terminology might be misleading and induce one to think that the theory of meaning involved in dialogic is not semantics at all. Helge Rückert proposes the more appropriate formulation pragmatistische Semantik (pragmatist semantics).

  4. 4.

    Presentation based on Hansson, where this notation is precised by saying that, for any two sets X and Y, X\Y is the set of elements of X which are not in Y.

  5. 5.

    Cf. Rahman and Rückert 2001, 111 and Rückert 2001, chapter 1.2.

  6. 6.

    Cf. Keiff 2007.

  7. 7.

    Clerbout (Nicolas), 2014; La sémantique dialogique. Notions fondamentales et éléments de métathéorie, London, College Publications, „Cahiers de Logique et d’épistémologie“ series, Vol. 21.

  8. 8.

    In the present survey we don’t use the rank-device which is very relevant and useful for the new reformulation and new perspectives on this topic.

  9. 9.

    In the standard literature on dialogues, there is an asymmetric version of the intuitionist rule, called E-rule since Felscher (1985).

  10. 10.

    The rule concerning the introduction of an ordinary extra-premise [R S*2.1] takes account of the fact that, in a controversy the part which introduces the debate usually utters – at least, that is supposed – all statements useful for sustaining his position, meanwhile omitting one or more details which could weaken this position. The same holds for juridical antagonism, where the litigant is supposed to present, since the start of the debate, all elements of the accusation providing the strength of his complaint. It becomes impossible, during the controversial exchange of respective arguments, that the litigant introduces some new statements. This is the ethic motivation of this formal restriction relative to the introduction of extra-premise under which the proponent plays.

    However, intending the ideal conditions of equilibrium of a debate, it is necessary to allow the challenger the possibility of bringing the details of precision lacking in the initial statement (complaint) of the litigant, by introducing a unique extra-premise. Furthermore, the impossibility for the proponent to attack this extra-premise is simply due to the fact that one cannot rebut or contest a statement which hasn’t been uttered yet by a protagonist, though the existence of this statement is supposed beforehand as one of the material conditions of the dialogue. In fact, we must keep in mind that we are in the context of material dialogues and of non-monotonique argumentation process.

  11. 11.

    Here, the revision operation performs the Levy’s identity which is constituted of two steps: a) first, contract the database (in the instance, it’s the set of all the argument’s premises) from the negation of the revision’s formula; next, extend this contracted database by adding the revision’s formula itself.

Bibliography

  • Alchourrón, C.E., Gärdenfors, P., Makinson, D.C.: On the logic of theory change: partial meet contraction and revision functions. J. Symbolic. Logic. 2(50), 510–530 (1985)

    Google Scholar 

  • Aristote, O.V.: Topiques. Libraire Philosophique, Paris, J. Vrin, Traduction et notes de J. Tricot, 369 pages (1984)

    Google Scholar 

  • Aristote: Rhétorique, Paris, éditions Pocket, Coll. « AGORA », Nouvelle traduction du grec, notes et préface de Jean Lauxerois, 287 pages (2007)

    Google Scholar 

  • Bastin, Y.: « Les langues bantoues », dans Inventaire des études linguistiques sur les pays d’Afrique Noire d’expression française et sur Madagascar, pp. 123–185. In: Barreteau (éd.), CILF, Paris (1978)

    Google Scholar 

  • Bastin, Y., Coupez, A., et De Halleux, B.: Classification lexicostatistique des langues bantoues (214 relevés), dans Bulletin de l’Académie Royale des Sciences d’Outre-Mer. XXVII, 173–199 (1983)

    Google Scholar 

  • Bench-Capon, T.J.M.: Argument in artificial intelligence and law. Artif. Intell. Law. 5, 249–261 (1997)

    Google Scholar 

  • Bondarenko, A., Dung, P.M., Kowalski, R.A., Toni, F.: An abstract, argumentation-theoretic approach to default reasoning. Artif. Intell. 93, 63–101, Elsevier (1997)

    Google Scholar 

  • Clerbout, N.: La sémantique dialogique. Notions fondamentales et éléments de métathéorie. College Publications, London, Cahiers de Logique et d’épistémologie“series, vol. 21 (2014)

    Google Scholar 

  • Clerbout, N., Keiff, L., Rahman, S.: Dialogues and natural deduction. In: Primiero, G., Rahman, S. (ed.) Acts of Knowledge, History, Philosophy, Logic. College Publications, London. chapter 4 (2009)

    Google Scholar 

  • Dango, A.B.: Approche dialogique de la révision des croyances dans le contexte de la théorie constructive des types. Thése, Lille (2015)

    Google Scholar 

  • Deschamps, H.: Traditions orales et archives au Gabon. Berger-Levrault, Paris (1962)

    Google Scholar 

  • Diagne, M.: Critique de la raison orale. Les pratiques discursives en Afrique noire. Karthala, Paris, 600 p (2005)

    Google Scholar 

  • Dung, P.M.: On the acceptability of arguments and its fundamental role in non-monotonic reasoning, logic programming and N-person games. Artif. Intell. 77, 321–357, North-Holland Publishing Company (1995)

    Google Scholar 

  • Felscher, W.: Dialogues as a foundation for intuitionistic logic. In: Gabbay, D., Guenthner, F. (eds.) Handbook of Philosophical Logic, vol. 3, pp. 341–372. Kluwer, Dordrecht (1985)

    Google Scholar 

  • Fiutek, V., Rückert, H., Rahman, S.: A dialogical semantics for Bonanno’s system of belief revision. To appear in Constructions, P. Bour et alii (ed.) College Publications, London (2010)

    Google Scholar 

  • Fontaine, M., Redmond, J.: Logique Dialogique. Une Introduction. Vol 1 Méthodes de Dialogique : Règles et Exercices. College Publications, Londres, N° 5 de la Série « Cahiers de Logique et d’Épistémologie », 126 p (2008)

    Google Scholar 

  • Gabbay, D.M., Hogger, C.J., Robinson, J.A. (eds.): Handbook of Logic in Artificial Intelligence and Logic Programming. Volume 3. Nonmonotonic Reasoning and Uncertain Reasoning. Clarendon Press, Oxford (1994)

    Google Scholar 

  • Gärdenfors, P.: Knowledge in flux. Modeling the Dynamics of Epistemic States. College Publications, Vol. 13 of “Studies in Logic” series, 2008 for the used version (the original one is at 1988), 205 p

    Google Scholar 

  • Ginsberg, M.L. (ed.): Readings in Nonmonotonic Reasoning. Morgan Kaufmann Publishers, Los Altos (1987)

    Google Scholar 

  • Hage, J.C.: Reasoning with Rules. An Essay on Legal Reasoning and Its Underlying Logic. Kluwer Academic Publishers, Dordrecht (1997)

    Google Scholar 

  • Hansson, S.O.: A Textbook of Belief Dynamics. Theory Change and Database Updating. Kluwer Academic Publishers, Dordrecht/Boston/London, 398 p (1999)

    Google Scholar 

  • Insu S.,Guido G.: A Compact Argumentation System for Agent System specification. STAIRS. In: Peppas, P., Perini,A., Penserini, L. (eds.) IOS Press (2006)

    Google Scholar 

  • Kamp, H., Reyle, U.: From Discourse to Logic: Introduction to Modeltheoretic Semantics of Natural Language, Formal Logic and Discourse Representation Theory. Kluwer Academic Publishers, Dordrecht/London/Boston (1993), 713 pages

    Google Scholar 

  • Keiff, L.: Introduction à la dialogique modale et hybride, dans. Philosophia Scientiae. 8(2), 89–105 (2004)

    Google Scholar 

  • Keiff, L.: Approches dynamiques à l’argumentation formelle. Ph.D. thesis, Université de Lille, Lille (2007)

    Google Scholar 

  • Keiff, L.: Dialogical logic, Entry in the Stanford Encyclopaedia of Philosophy. http://plato.stanford.edu/entries/logic-dialogical/ (2009)

  • Keiff, L., Rahman, S.: La Dialectique entre logique et rhétorique. Revue de Métaphysique et Morale 2, 149–178 (2010)

    Article  Google Scholar 

  • Lorenz, K.: Basic objectives of dialogue logic in historical perspective. Synthese 127, 255–263 (2001)

    Article  Google Scholar 

  • Lorenzen, P., Lorenz, K.: Dialogische Logik. WBG, Darmstadt (1978)

    Google Scholar 

  • Rahman, S.: Über Dialogue, Protologische Kategorien und andere Seltenheiten. P. Lang, Frank- furt/Paris/New York (1993)

    Google Scholar 

  • Rahman, S.: A non normal logic for a wonderful world and more. In: van Benthem, J., et alia (eds.) The Age of Alternative Logics, pp. 311–334, chez. : Kluwer-Springer, Dordrecht (2009)

    Google Scholar 

  • Rahman, S., Keiff, L.: On how to be a dialogician. In: Vanderveken, D. (ed.) Logic, Thought and Action, pp. 359–408. Kluwer, Dordrecht (2004)

    Google Scholar 

  • Rahman, S., Rückert, H: New perspectives in dialogical logic. S. Rahman, H. Rückert Synthese. 127, 1–6 (2001)

    Google Scholar 

  • Rahman, S., Tulenheimo, T.: From games to dialogues and back: towards a general frame for validity. In: Majer, O., Pietarinen, A.-V., Tulenheimo, T. (eds.) Games: Unifying Logic, Language and Philosophy, Part III. Springer, Dordrecht (2009)

    Google Scholar 

  • Rahman, S., Clerbout, N., Keiff, L.: Dialogues and natural deduction. In: Primiero, G. (ed.) Acts of Knowledge, History, Philosophy, Logic, pp. 301–336. College Publications, London (2009)

    Google Scholar 

  • Rückert, H.: Why dialogical logic?. In: Wansing, H. (ed.) Essays on Non-Classical Logic, pp. 165–182. World Scientific Publishing Co. Ltd, Singapore/London (2001)

    Google Scholar 

  • Suard, F., Buridant, C. (sous la dir.): Richesse du Proverbes. vol 2 : Typologie et Fonctions. Université Lille de III, 275 p (1984)

    Google Scholar 

  • Tempels, P.: La Philosophie Bantoue. Présence Africaine, Paris (Traduit du Néerlandais par A. Rubbens) 126 pages (1947)

    Google Scholar 

  • Toulmin, S.: The Uses of Argument. Cambridge University Press, Cambridge, New York (1958)

    Google Scholar 

  • van Eemeren, F.H., Grootendorst, R., Snoeck, H.F.: Fundamentals of Argumentation Theory. A Handbook of Historical Backgrounds and Contemporary Developments. Lawrence Erlbaum Associates, Mahwah (1996)

    Google Scholar 

  • Vreeswijuk, G., Prakken, H.: Credulous and Sceptical Argument Games for referred Semantics. In: Proceedings of JELIA’2000, pp. 224–238. Springer (2000)

    Google Scholar 

  • Wiredu, K. (ed.): A Companion to African Philosophy. Blackwell Companions to philosophy’ series, 2004 by Blackwell Publishing Ltd, Malden, MA/Oxford/Victoria, 587 p (2004)

    Google Scholar 

Download references

Acknowledgements

We are grateful to Prof. Juan Redmond (Universidad de Valparaíso) who motivated our participation in the ISELL (International Symposium of Epistemology, Logic and Language 2012/Lisbon), where the content of this essay was presented for the first time. Many thanks also to the team “Pragmatisme Dialogique”, lab. UMR-8163: STL at the University of Lille 3, and particularly to Dr. Nicolas Clerbout (Convenio de Desempeño HACS – Universidad de Valparaíso/Chile) whose recently published book on metadialogic has been useful for our own presentation of the dialogical logic. Finally, we deeply thank Prof. Shahid Rahman (Université de Lille, UMR: 8163) for his tireless scientific support and his friendship.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gildas Nzokou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Nzokou, G. (2016). Defeasible Argumentation in African Oral Traditions. A Special Case of Dealing with the Non-monotonic Inference in a Dialogical Framework. In: Redmond, J., Pombo Martins, O., Nepomuceno Fernández, Á. (eds) Epistemology, Knowledge and the Impact of Interaction. Logic, Epistemology, and the Unity of Science, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-319-26506-3_14

Download citation

Publish with us

Policies and ethics