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A Survey and Evaluation of Diagrams for Navya-Nyāya

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Diagrammatic Representation and Inference (Diagrams 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10871))

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Abstract

Navya-Nyāya, “The New Reasoning”, is a formal philosophical logic developed in India from the 11th to the 17th centuries CE, and which builds on the older traditions of Nyāya and Vaiśeṣika. Not surprisingly, Navya-Nyāya is fundamentally different from classical Western logic and from the meanings ascribed to traditional logical diagrams. For instance, although it is not entirely correct to describe Navya-Nyāya as extensional or intensional, it has an intensional flavour: abstractions are built up from concrete individuals of which we know only their possession, or not, of certain properties. In this paper we look at the implications of these semantics for the use of logical diagrams in Navya-Nyāya. We survey the use of diagrams in modern studies of Navya-Nyāya, notable examples having been produced by Wada, Das and Ganeri. We use notions of well-matchedness, iconicity and Cheng’s recent framework to analyse the effectiveness of the notations in the context of their intended purposes.

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Acknowledgements

This work was done while Burton was at Jadavpur University as a Visiting Scholar. We thank Professor Prabal K. Sen and Professor Proyash Sarkar for some very helpful discussions on Navya-Nyāya and on the diagrams used by its practitioners.

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Authors and Affiliations

  1. University of Brighton, Brighton, UK

    Jim Burton

  2. Jadavpur University, Kolkata, India

    Lopamudra Choudhury & Mihir Chakraborty

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  1. Jim Burton
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  2. Lopamudra Choudhury
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  3. Mihir Chakraborty
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Corresponding author

Correspondence to Jim Burton .

Editor information

Editors and Affiliations

  1. Edinburgh Napier University, Edinburgh, UK

    Peter Chapman

  2. University of Brighton, Brighton, UK

    Gem Stapleton

  3. Tallinn University of Technology, Tallinn, Estonia

    Amirouche Moktefi

  4. Mitre Corporation, McLean, VA, USA

    Sarah Perez-Kriz

  5. University of Bologna, Bologna, Italy

    Francesco Bellucci

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Burton, J., Choudhury, L., Chakraborty, M. (2018). A Survey and Evaluation of Diagrams for Navya-Nyāya. In: Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S., Bellucci, F. (eds) Diagrammatic Representation and Inference. Diagrams 2018. Lecture Notes in Computer Science(), vol 10871. Springer, Cham. https://doi.org/10.1007/978-3-319-91376-6_27

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  • DOI: https://doi.org/10.1007/978-3-319-91376-6_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91375-9

  • Online ISBN: 978-3-319-91376-6

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