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Nyaya Methodology and Western Mathematical Logic: Origins and Implications

In: Handbook of the Mathematics of the Arts and Sciences

Author

Listed:
  • Martin Schmidt

    (Western Nevada College)

  • Bharath Sriraman

    (University of Montana, Department of Mathematical Sciences)

Abstract

In this chapter, we compare the Nyaya school of logic, one of the six major schools of Hindu philosophy to Aristotelian logic. In particular, we compare the intent, nature, and structure of syllogisms in the Nyaya School of logic to that in Western mathematical logic to highlight differences in premises and conclusions. In doing so, we draw on the foundational writings and commentaries on Nyaya methodology from both Hindu and Buddhist sources, as well as the major sources of Aristotelian logic. We explore the possibility of Nyaya methodology being influenced by Aristotelian logic before arguing that the Nyaya system developed on its own trajectory. Some modern implications of Nyaya methodology are also given.

Suggested Citation

  • Martin Schmidt & Bharath Sriraman, 2021. "Nyaya Methodology and Western Mathematical Logic: Origins and Implications," Springer Books, in: Bharath Sriraman (ed.), Handbook of the Mathematics of the Arts and Sciences, chapter 95, pages 2515-2537, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-57072-3_65
    DOI: 10.1007/978-3-319-57072-3_65
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