There are two different modal logics: the logic T assuming contingency and the logic K = assuming logical determinism. In the paper, I show that the Aristotelian treatise On Interpretation has introduced some modal-logical relationships which correspond to T. In this logic, it is supposed that there are contingent events. The Nāgārjunian treatise Īśvara-kartṛtva-nirākṛtiḥ-viṣṇoḥ-ekakartṛtva-nirākaraṇa has introduced some modal-logical relationships which correspond to K =. In this logic, it is supposed that there is a logical determinism: each event happens necessarily or (...) it does not happen necessarily. The Nāgārjunian approach was inherited by the Yogācārins who developed, first, the doctrine of causality of all real entities and, second, the doctrine of momentariness of all real entities. Both doctrines were a philosophical ground of the Yogācārins for the logical determinism. Hence, Aristotle implicitly used the logic T in his modal reasoning. The Madhyamaka and Yogācāra schools implicitly used the logic K = in their modal reasoning. (shrink)

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)

This paper excavates the practice-oriented background and therapeutic significance of emptiness in the Madhyamaka philosophy attributed to Nāgārjuna and Sengzhao. Buddhist emptiness unravels experiential and linguistic reification through meditation and argumentation. The historical contexts and uses of the word indicate that it is primarily a practical diagnostic and therapeutic concept. Emptiness does not lead to further views or truths but, akin to yet distinct from Ajñāna and Pyrrhonian skepticism, the suspension of assertion. This sense of emptiness as a practice can (...) be traced in the intercultural transmission of Madhyamaka from Nāgārjuna, its paradigmatic philosopher, to Sengzhao 僧肇, its first pivotal indigenous Chinese representative. (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)

Names name, but there are no individuals who are named by names. This is the key to an elegant and ideologically parsimonious strategy for analyzing the Buddhist catuṣkoṭi. The strategy is ideologically parsimonious, because it appeals to no analytic resources beyond those of standard predicate logic. The strategy is elegant, because it is, in effect, an application of Bertrand Russell's theory of definite descriptions to Buddhist contexts. The strategy imposes some minor adjustments upon Russell's theory. Attention to familiar catuṣkoṭi from (...) Vacchagotta and Nagarjuna as well as more obscure catuṣkoṭi from Khema, Zhi Yi, and Fa Zang motivates the adjustments. The result is a principled structural distinction between affirmative and negative catuṣkoṭi, as well as analyses for each that compare favorably to more recent efforts from Tillemans, Westerhoff, and Priest. (shrink)