The logical analysis of Nāgārjuna’s catuṣkoṭi has remained a heated topic for logicians in Western academia for nearly a century. At the heart of the catuṣkoṭi, the four corners’ formalization typically appears as: A, Not A, Both, and Neither. The pulse of the controversy is the repetition of negations in the catuṣkoṭi. Westerhoff argues that Nāgārjuna in the Mūlamadhyamakakārikā uses two different negations: paryudāsa and prasajya-pratiṣedha. This paper builds off Westerhoff’s account and presents some subtleties of Nāgārjuna’s use of these (...) negations regarding their scope. This is achieved through an analysis of the Sanskrit and Tibetan Madhyamaka commentarial tradition and through a grammatical analysis of Nāgārjuna’s use of na and a- within a diverse variety of the catuṣkoṭi within the Mūlamadhyamakakārikā. (shrink)

I discuss two critiques of Dignāga’s epistemology, one from Candrakīrti and another from Jayarāśi. I argue that they are two versions of what I call the core problem: if the content of Dignāga’s epistemology were correct, two fundamental beliefs within this epistemological theory could not be established or known to be true, as Dignāga claims they are. In response to objections found within the classical Indian tradition as well as several plausible contemporary objections, I then argue that the core problem (...) remains a serious issue with which those sympathetic to Dignāga ought to contend. (shrink)

The theory of negation developed in the grammatical-philosophical system of later Vyākaraṇa remains almost entirely unstudied, despite its close links with the (widely studied) approaches to negation found in other philosophical schools such as Nyāya and Mīmāṃsā, and despite its consequent importance for a comprehensive understanding of the theory of negation in ancient India. In this paper we present an edition, translation and commentary of the relevant sections of Nāgeśa’s _Paramalaghumañjūṣā_, a concise presentation by the final authority of the Pāṇinian (...) tradition, together with an explanatory introduction outlining the grammarians’ theory of negation and its relations particularly with the Nyāya theory of negation. (shrink)