Vatsyayana

…era) and his 5th-century commentator Vatsyayana established the foundations of the Nyaya as a school almost exclusively preoccupied with logical and epistemological issues. The Madhyamika (“Middle Way”) school of Buddhism—also known as the Shunyavada (“Way of Emptiness”) school—arose, and the analytical investigations of Nagarjuna (c. 200), the great propounder of…

Vatsayana, the commentator on the sutras, referred to some logicians who held a theory of a 10-membered syllogism (the Greeks had three). The Vaisheshika-sutras give five propositions as constituting a syllogism but give them different names. Gautama also supports a five-membered syllogism with the following…

…upon about 400 ce by Vatsayana, who replied to the Buddhist doctrines, especially to some varieties of Shunyavada skepticism. Uddyotakara’s Varttika ( c. 635) was written after a period during which major Buddhist works, but no major Hindu work, on logic were written. Uddyotakara undertook to refute Nagarjuna and Dignaga.…