According to Garfield and Priest’s interpretation, the positive use of the catuskoti by Nāgārjuna in Mūlamadhyamakakārikā (MMK) shows that he endorses a four-valued semantics similar to that of Belnap’s First-Degree Entailment (FDE), while the negative use of the catuskoti by Nāgārjuna in MMK indicates that what he really has in mind is a plurivalent five-valued semantics. This paper argues that their interpretation suffers from a number of problems: adequate logic, collapse of kotis, lack of literature support, and a suitable explanation (...) of the third koti. The final part of the paper combines insights from Westerhoff, Cotnoir, Garfield and Priest together and describes the right interpretation of Nāgārjuna’s use of the catuskoti in MMK with the right semantics and the right logic of MMK. The authors argue that Nāgārjuna’s ‘rebuttal’ of all four kotis in a catuskoti should be understood as a mere denial or a mere rejection of these kotis. (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 article is about a pedagogical movement I discern in Quentin Meillassoux’s ontology. The goal of the essay is to introduce his approach to reality in outline form and offer it as a possible route to conceptualize education as the practice of keeping the bodymind attentive and agile against its unsound ossification by way of providing a unified heightened sense of meaning, that is, consummatory experience, in a radically open and contingent world. Meillassoux offers a new conception of necessity and (...) contingency based on the Badioun principle that ‘nothing is inaccessible to reason.’ This move helps Meillassoux to claim that reason can access the absolute for there is no inaccessible necessary transcendence by providing an intriguing critique of the principle of sufficient reason. As a result, Meillassoux’s argument leads to the conclusion that the only necessity is contingency itself. By excluding any necessary being, but also maintaining the absolute necessity of contingency itself, Meillassoux establishes what he calls the “factial.” Meillassoux’s factiality induce pedagogical interventions that lead to acquiring a new point of view whereby ossification of bodymind is staved off and a state of mind that is endlessly fascinated by the immanence, or the most radical becoming, of the world is achieved. (shrink)

Nāgārjuna, the famous founder of the Madhyamika School, proposed the positive catuṣkoṭi in his seminal work, Mūlamadhyamakakārikā: ‘All is real, or all is unreal, all is both real and unreal, all is neither unreal nor real; this is the graded teaching of the Buddha’. He also proposed the negative catuṣkoṭi: ‘“It is empty” is not to be said, nor “It is non-empty,” nor that it is both, nor that it is neither; [“empty”] is said only for the sake of instruction’ (...) and the no-thesis view: ‘No dharma whatsoever was ever taught by the Buddha to anyone’. In this essay, I adopt Gricean pragmatics to explain the positive and negative catuṣkoṭi and the no-thesis view proposed by Nāgārjuna in a way that does not violate classical logic. For Nāgārjuna, all statements are false as long as the hearer understands them within a reified conceptual scheme, according to which substance is a basic categorical concept; substances have svabhāva, and names and sentences have svabhāva. (shrink)