# Ancient Indian Logic and Analogy

Conference paper

First Online:

## Abstract

B.K. Matilal, and earlier J.F. Staal, have suggested a reading of the ‘Nyāya five limb schema’ (also sometimes referred to as the Indian Schema or Hindu Syllogism) from Gotama’s Nyāya-Sūtra in terms of a binary *occurrence* relation. In this paper we provide a rational justification of a version of this reading as Analogical Reasoning within the framework of Polyadic Pure Inductive Logic.

## Keywords

Probability Function Predicate Logic Relation Symbol Strong Negation Actual Interpretation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## References

- 1.Gaifman, H.: Concerning measures on first order calculi. Israel J. Math.
**2**, 1–18 (1964)MathSciNetCrossRefMATHGoogle Scholar - 2.Ganeri, J.: Indian Logic: A Reader. Routledge, New York (2001)MATHGoogle Scholar
- 3.Ganeri, J.: Ancient Indian logic as a theory of case based reasoning. J. Indian Philos.
**31**, 33–45 (2003)CrossRefGoogle Scholar - 4.Matilal, B.K.: The Character of Logic in India. SUNY Series in Indian Thought. State University of New York Press, Albany (1998) (Ed. Halbfass, W.)Google Scholar
- 5.Matilal, B.M.: Introducing Indian logic. In: Ganeri, J. (ed.) Indian Logic, A Reader. Routledge (2001)Google Scholar
- 6.Oetke, C.: Ancient Indian logic as a theory of non-monotonic reasoning. J. Indian Philos.
**24**, 447–539 (1996)CrossRefGoogle Scholar - 7.Paris, J.B., Vencovská, A.: The Indian schema as analogical reasoning. http://eprints.ma.man.ac.uk/2436/01/covered/MIMS_ep2016_10.pdf
- 8.Paris, J.B., Vencovská, A.: The Indian schema analogy principles. IfCoLog J. Logics Appl. http://eprints.ma.man.ac.uk/2436/01/covered/MIMS_ep2016_8.pdf
- 9.Paris, J.B., Vencovská, A.: Ancient Indian Logic, Pakṣa and Analogy. In: Proceedings of the joint Conference of the 3rd Asian Workshop on Philosophical Logic (AWPL 2016) and the 3rd Taiwan Philosophical Logic Colloquium (TPLC 2016), Taipei, October 2016 (to appear)Google Scholar
- 10.Paris, J.B., Vencovská, A.: Pure Inductive Logic. Association of Symbolic Logic Perspectives in Mathematical Logic Series. Cambridge University Press, New York (2015)CrossRefMATHGoogle Scholar
- 11.Schayer, S.: On the method of research into Nyāya (translated by J. Tuske). In: Ganeri, J. (ed.) Indian Logic: A Reader, pp. 102–109. Routledge, London, New York (2001)Google Scholar
- 12.Staal, J.F.: The concept of Pakṣa in Indian Logic. In: Ganeri, J. (ed.) Indian Logic: A Reader, pp. 151–161. Routledge, London, New York (2001)Google Scholar

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