The three&#45;form reasoning of new Hetu&#45;vidya in
Indian logic from the perspective of modern logic

doi:10.1007/s11466-009-0042-1

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Front. Philos. China ›› 2009, Vol. 4 ›› Issue (4) : 631-645. DOI: 10.1007/s11466-009-0042-1

Research articles

The three-form reasoning of new Hetu-vidya in Indian logic from the perspective of modern logic

ZHANG Zhongyi¹, ZHANG Jialong²,

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Abstract

Comparing the three-form reasoning of new Hetu-vidya with Western logic, scholars have put forward four perspectives. Combining their strengths and shortcomings, and the examples of Hetu-vidya reasoning, we can conclude that the three-form reasoning should have four forms: (1) the affirmative expression of formal implication; (2) the modus ponens of hypothetical reasoning concerning sufficient conditions after universal instantiation; (3) the negative expression of a formal implication; and (4) the modus tollens of hypothetical reasoning concerning sufficient conditions after universal instantiation.

Keywords

modern logic / new Hetu-vidya / three-form reasoning / universal instantiation / formal implication

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ZHANG Zhongyi, ZHANG Jialong,. The three-form reasoning of new Hetu-vidya in Indian logic from the perspective of modern logic. Front. Philos. China, 2009, 4(4): 631‒645 https://doi.org/10.1007/s11466-009-0042-1