The three-form reasoning of new hetu-Vidya in indian logic from the perspective of modern logic

Frontiers of Philosophy in China 4 (4):631-645 (2009)
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  现代逻辑  新因明  三支论式  全称量词消去  形式蕴涵
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