Nyaya Methodology and Western Mathematical Logic: Origins and Implications

Martin Schmidt () and Bharath Sriraman ()
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Martin Schmidt: Western Nevada College
Bharath Sriraman: University of Montana, Department of Mathematical Sciences

Chapter 95 in Handbook of the Mathematics of the Arts and Sciences, 2021, pp 2515-2537 from Springer

Abstract: 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.

Keywords: Indian philosophy; Hindu philosophy; Mathematical logic; Nyaya logic; Aristotelian logic; Syllogisms; Milinda; Law of contrapositive; Natural numbers; Buddhist logic (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-57072-3_65

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DOI: 10.1007/978-3-319-57072-3_65

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