Skip to main content

Evaluating Networks of Arguments: A Case Study in Mīmāṃsā Dialectics

  • Conference paper
  • First Online:
Logic, Rationality, and Interaction (LORI 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11813))

Included in the following conference series:

Abstract

We formalize networks of authored arguments. These networks are then mapped to \(ASPIC{^+}\) theories that subsequently instantiate Extended Argumentation Frameworks. Evaluation of arguments in the latter determines the status of the arguments in the source networks. The methodology is illustrated through a collaboration between scholars of South Asian philosophy, logicians and formal argumentation theorists, analyzing excerpts of Sanskrit texts concerning a controversial normative debate within the philosophical school of Mīmāṃsā.

Work partially funded by the projects WWTF MA16-028 and FWF W1255-N23.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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.

    Different interpretations of these arguments might be implemented in \(ASPIC{^+}\), and compared and evaluated on their logical consequences.

References

  1. Amgoud, L., Cayrol, C., Lagasquie-Schiex, M., Livet, P.: On bipolarity in argumentation frameworks. Int. J. Intell. Syst. 23(10), 1062–1093 (2008)

    Article  Google Scholar 

  2. Baroni, P., Caminada, M., Giacomin, M.: An introduction to argumentation semantics. Knowl. Eng. Rev. 26(4), 365–410 (2011)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  4. Brick, D.: The dharmaśāstric debate on widow-burning. J. Am. Orient. Soc. 130(2), 203–223 (2010)

    Google Scholar 

  5. Caminada, M., Amgoud, L.: On the evaluation of argumentation formalisms. Artif. Intell. 171(5–6), 286–310 (2007)

    Article  MathSciNet  Google Scholar 

  6. Ciabattoni, A., Freschi, E., Genco, F.A., Lellmann, B.: deontic logic: proof theory and applications. In: De Nivelle, H. (ed.) TABLEAUX 2015. LNCS (LNAI), vol. 9323, pp. 323–338. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-24312-2_22

    Google Scholar 

  7. Dung, P.M.: On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artif. Intell. 77(2), 321–358 (1995)

    Article  MathSciNet  Google Scholar 

  8. Freschi, E., Ollett, A., Pascucci, M.: Duty and Sacrifice. A Logical Analysis of the Theory of Vedic Injunctions. History and Philosophy of Logic (2019, forthcoming)

    Google Scholar 

  9. Hunter, A., et al.: Tutorials on structured argumentation. Argument Comput. 5(1), 1–4 (2014)

    Article  Google Scholar 

  10. Modgil, S.: Reasoning about preferences in argumentation frameworks. Artif. Intell. 173(9–10), 901–934 (2009)

    Article  MathSciNet  Google Scholar 

  11. Modgil, S.: Revisiting abstract argumentation frameworks. In: Black, E., Modgil, S., Oren, N. (eds.) TAFA 2013. LNCS (LNAI), vol. 8306, pp. 1–15. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-54373-9_1

    Chapter  MATH  Google Scholar 

  12. Modgil, S.: Towards a general framework for dialogues that accommodate reasoning about preferences. In: Black, E., Modgil, S., Oren, N. (eds.) TAFA 2017. LNCS (LNAI), vol. 10757, pp. 175–191. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-75553-3_13

    Chapter  Google Scholar 

  13. Modgil, S., Prakken, H.: Reasoning about preferences in structured extended argumentation frameworks. In: Proceedings of the COMMA 2010, pp. 347–358 (2010)

    Google Scholar 

  14. Modgil, S., Prakken, H.: A general account of argumentation with preferences. Artif. Intell. 195, 361–397 (2013)

    Article  MathSciNet  Google Scholar 

  15. Nielsen, S.H., Parsons, S.: A generalization of dung’s abstract framework for argumentation: arguing with sets of attacking arguments. In: Maudet, N., Parsons, S., Rahwan, I. (eds.) ArgMAS 2006. LNCS (LNAI), vol. 4766, pp. 54–73. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-75526-5_4

    Chapter  MATH  Google Scholar 

  16. Oren, N., Norman, T.J.: Semantics for evidence-based argumentation. In: Computational Models of Argument (COMMA 2008), pp. 276–284. IOS Press (2008)

    Google Scholar 

  17. Prakken, H.: Historical overview of formal argumentation. In: Baroni, P., Gabbay, D., Giacomin, M., van der Torre, L. (eds.) Handbook of Formal Argumentation, pp. 75–144. College Publications, London (2018)

    Google Scholar 

  18. Sakuntala, N.: Sati, Widow Burning in India. Viking, Doubleday, New Delhi (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Kees van Berkel or Sanjay Modgil .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer-Verlag GmbH Germany, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

van Berkel, K., Ciabattoni, A., Freschi, E., Modgil, S. (2019). Evaluating Networks of Arguments: A Case Study in Mīmāṃsā Dialectics. In: Blackburn, P., Lorini, E., Guo, M. (eds) Logic, Rationality, and Interaction. LORI 2019. Lecture Notes in Computer Science(), vol 11813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-60292-8_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-60292-8_26

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-60291-1

  • Online ISBN: 978-3-662-60292-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics