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The three-form reasoning of new Hetu-vidya in
Indian logic from the perspective of modern logic |
ZHANG Zhongyi1, ZHANG Jialong2, |
1.School of Humanities
and Law, Yanshan University, Qinhuangdao 066004, China; 2.Institute of Philosophy,
Chinese Academy of Social Sciences, Beijing 100732,China; |
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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.
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Keywords
modern logic
new Hetu-vidya
three-form reasoning
universal instantiation
formal implication
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Issue Date: 05 December 2009
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