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Later Nyāya Logic: Computational Aspects

  • Amba Kulkarni
Living reference work entry

Abstract

In this article we describe the computational aspects of the Technical Language of Navya-Nyāya. Navya-Nyaya is an off-shoot of the early Nyāya philosophy. It deviates from the Nyāya philosophy in three major ways. First, instead of prameyas the discussions are centered around the pramāṇas. Second, the Navya-Nyāya has adapted the Vaiseṣika ontology. And finally it has introduced a few concepts expressed through an unambiguous technical terminology that brings in a clarity in the communication removing the inherent ambiguities of a natural language. In this article the syntax of expressions involving this technical terminology is described, followed by a scheme based on Conceptual Graphs of Sowa for their graphical rendering. Finally a computational algorithm is described that renders the graphs corresponding to the Navya-Nyāya expressions semi-automatically.

References

  1. Arjuna, S.R., and Amba Kulkarni. 2014. Segmentation of Navya-Nyāya expressions. In Proceedings of international conference on NLP, Goa.Google Scholar
  2. Arjuna, S.R., and Amba Kulkarni. 2016. Analysis and graphical representation of navya-nyāya expressions – Nyāyacitradīpikā. In Sanskrit and computational linguistics, ed. Amba Kulkarni, 21–52. Pragun Publication, A D K Publishers Distributors Enterprise, New Delhi.Google Scholar
  3. Bhattacharya, Sibajiban. 1990. Some features of the technical language of Navya-Nyaya. Philosophy East and West 40 (2): 129–149.CrossRefGoogle Scholar
  4. Briggs, Rick. 1985. Knowledge representation in Sanskrit and artificial intelligence. AI Magazine 6 (1).Google Scholar
  5. Ganeri, Jonardon. 2008. Towards a formal regimentation of the Navya-Nyāya technical language-I. In Logic, Navya-Nyāya & applications, London:College Publications. 109–124.Google Scholar
  6. Huet, Gérard. 2006. Lexicon-directed segmentation and tagging of Sanskrit. In Themes and tasks in old and middle indo-Aryan linguistics, 307–325. Delhi: Motilal Banarsidass.Google Scholar
  7. Huet, Gérard. 2009. Formal structure of Sanskrit text: Requirements analysis for a mechanical Sanskrit processor. In Sanskrit computational linguistics 1 & 2, LNAI 5402, eds. Gérard Huet, Amba Kulkarni, and Peter Scharf. Springer, Berlin Heidelberg.Google Scholar
  8. Huet, Gérard and Pawan Goyal. 2013. Design of a lean interface for Sanskrit corpus annotation. In Proceedings of international conference on NLP, Noida, eds. Dipti Mishra Sharma, Rajeev Sanghal, Karunesh Kr.Arora, and B.K.Murthy, 177–186.Google Scholar
  9. Ingalls, Daniel H.H. 1951. Materials for the study of Navya-Nyāya logic. Cambridge, MA: Harvard University Press.Google Scholar
  10. Jha, V.N. 1987. Viṣayatāvāda of Harirāma Tarkālaṇkāra. Pune: University of Pune.Google Scholar
  11. Kulkarni, Amba. 1994. Navya-Nyāya for Scientists and Technologists: A first step. MTech dissertation, IIT, Kanpur.Google Scholar
  12. Kulkarni, Amba. 2013. A deterministic dependency parser with dynamic programming for Sanskrit. In Proceedings of the second international conference on dependency linguistics (DepLing 2013), 157–166, Charles University in Prague, Matfyzpress, Prague.Google Scholar
  13. Kulkarni, Amba and Anil Kumar. 2011. Statistical constituency parser for Sanskrit compounds. In Proceedings of international conference on NLP, Macmillan Advanced Research Series. Chennai. Macmillan Publishers India Ltd.Google Scholar
  14. Kulkarni, Amba, and Devanand Shukl. 2009. Sanskrit morphological analyser: Some issues. Indian Linguistics 70 (1–4): 169–177. in the Festscrift volume of Bh. Krishnamoorty.Google Scholar
  15. Kumar, Anil, Vipul Mittal, and Amba Kulkarni. 2010. Sanskrit compound processor. In Proceedings of the fourth international Sanskrit computational linguistics symposium, LNAI 6465, ed. Delhi. Girish Nath Jha, 57–69. Springer.Google Scholar
  16. Matilal, Bimal Krishna. 1968. The Navya-Nyaya doctrine of negation. Cambridge, MA: Harvard University Press.Google Scholar
  17. Matilal, Bimal Krishna. 1977. Nyāya-Vaiśeṣika. Harrassowitz, Verlag.Google Scholar
  18. Mittal, Vipul. 2010. Automatic Sanskrit segmentizer using finite state transducers. In Proceedings of student research workshop, 85–90. Association for Computational Linguistics. Uppsala.Google Scholar
  19. Mohanty, Jitendra Nath. 2000. Classical Indian philosophy. Oxford: Rowman & Littlefield Publishers.Google Scholar
  20. Natarajan, Abhiram and Eugene Charniak. 2011. Sˆ3 – Statistical Sandhi Splitting. In Proceedings of IJCNLP, Thailand. 301–308.Google Scholar
  21. Patil, Devadatta. 2014. Vidyādharī. Pune: Samarth media center.Google Scholar
  22. Shaw, J.L. 1980. The Nyāya on cognition and negation. Journal of Indian Philosophy 8 (4): 279–302.CrossRefGoogle Scholar
  23. Sowa, John F. 1985. Conceptual Structures: Information Processing in Mind and Machine. Addison-Wesley, Reading, MAGoogle Scholar
  24. Sowa, John F. 1992. Semantic networks. Encyclopedia of cognitive science. Wiley.Google Scholar
  25. Staal, Fritz. 1988. Chapter: Means of formalization in Indian and Western logic. In Universals: Studies in Indian logic and linguistics, 81–87. Chicago: The University of Chicago Press.Google Scholar
  26. Varalakshmi, K. 2013. Ś leṣālaṅkāra: A challenge for testing sanskrit analytical tools. In Recent researches in Sanskrit computational linguistics fifth international symposium proceedings, ed. Malhar Kulkarni and Chaitali Dangarikar. New Delhi: D. K. Printworld.Google Scholar
  27. Wada, Toshihiro. 2007. The analytical method of Navya-Nyāya. Groningen: Egbert Forsten.Google Scholar
  28. Woods, W. 1975. What’s in a link: Foundations for semantic networks, Representation and Understanding: Studies in Cognitive Science, 35–82. Academic Press, New York.Google Scholar

Copyright information

© Springer (India) Pvt. Ltd. 2018

Authors and Affiliations

  • Amba Kulkarni
    • 1
  1. 1.Department of Sanskrit StudiesUniversity of HyderabadHyderabadIndia

Section editors and affiliations

  • Jonardon Ganeri
    • 1
  1. 1.Department of PhilosophyKing’s College London; School of Oriental and African Studies, University of LondonLondonUnited Kingdom

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