Logic in Buddhist Philosophy concerns the systematic study of anumāna (often translated as inference) as developed by Dignāga (480-540 c.e.) and Dharmakīti (600-660 c.e.). Buddhist logicians think of inference as an instrument of knowledge (pramāṇa) and, thus, logic is considered to constitute part of epistemology in the Buddhist tradition. According to the prevalent 20th and early 21st century ‘Western’ conception of logic, however, logical study is the formal study of arguments. If we understand the nature of logic to be formal, (...) it is difficult to see what bearing logic has on knowledge. In this paper, by weaving together the main threads of thought that are salient in Dignāga’s and Dharmakīti’s texts, I shall re-conceive the nature of logic in the context of epistemology and demarcate the logical part of epistemology which can be recognised as logic. I shall demonstrate that we can recognise the logical significance of inference as understood by Buddhist logicians despite the fact that its logical significance lies within the context of knowledge. (shrink)

The catuṣkoṭi or tetralemma is an argumentative figure familiar to any reader of Buddhist philosophical literature. Roughly speaking it consists of the enumeration of four alternatives: that some propositions holds, that it fails to hold, that it both holds and fails to hold, that it neither holds nor fails to hold. The tetralemma also constitutes one of the more puzzling features of Buddhist philosophy as the use to which it is put in arguments is not immediately obvious and certainly not (...) uniform: sometimes one of the four possibilities is selected as ‘the right one’, sometimes all four are rejected, sometimes all four are affirmed. It seems that this confusion is only exacerbated by the plethora of treatments we find in the modern commentarial literature, many of which try to analyze the tetralemma by recourse to notions of modern logic. Despite some important work done during the last decades a comprehensive study of the origin and development of the catuṣkoṭi from its use in the earliest Buddhist literature up to its later employment in the Buddhist philosophical works of Tibet, China, and Japan remains yet to be written. The present paper is obviously not intended to fill this gap, but has the specific objective of giving an interpretation of Nāgārrjuna’s employment of the tetralemma which makes both logical sense and is in accordance with his general philosophical position. (shrink)

In early Buddhist logic, it was standard to assume that for any state of a ff airs there were four possibilities: that it held, that it did not, both, or neither. This is the catuskoti (or tetralemma). Classical logicians have had a hard time mak­ing sense of this, but it makes perfectly good sense in the se­mantics of various paraconsistent logics, such as First Degree Entailment. Matters are more complicated for later Buddhist thinkers, such as Nagarjuna, who appear to suggest (...) that none of these options , or more than one, may hold. The point of this paper is to examine the matter, including the formal logical machinery that may be appropriate. (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)

This paper challenges the notion that there is a complete continuity between the thought of Nāgārjuna and the thought of Candrakīrti. It is shown that there is strong reason to doubt Candrakīrti’s gloss of Mūla-madhyamaka-kārikā (MMK) 2.1, and that Candrakīrti’s peculiar reading of this verse causes him to alter the context of the discussion in the four cases in which Nāgārjuna quotes MMK 2.1 later in the text—MMK 3.3, 7.14, 10.13 and 16.7. The innovation produced by Candrakīrti is next contrasted (...) to Nāgārjuna’s style of argument, and it is shown that these two author’s notions of emptiness, as well as their particular implementation of Madhyamaka logic, significantly diverge from each other. Finally, Candrakīrti’s reading of these verses is compared with his commentary on MMK 15 so as to suggest a possible subtle metaphysical position that is at the base of his thinking. (shrink)

Revisiting the author’s characteristic line of interpretation of the Madhyamaka philosophy of Nāgārjuna and Candrakīrti, this essay responds to critiques thereof by arguing for the sense Madhyamaka makes, on the author’s interpretation, as a Buddhist position. For purposes of the argument, it is allowed that especially on the author’s characteristic interpretation, Madhyamaka appears to have affinities with the “personalist” doctrine long regarded by Indian and Tibetan Buddhist traditions as unorthodox. In particular, it is accepted that on this interpretation, Mādhyamika arguments (...) to the effect that conventional truth cannot be explained away by any “ultimate” truth are tantamount to the view that a personal level of description cannot coherently be thought superseded by the kind of impersonal analysis typical of Abhidharma literature. The main burden of the essay is to explain the sense it makes to think this supposedly unorthodox embrace of the category person counts, in fact, as elaborating the tradition’s orienting no-self doctrine. (shrink)

This thesis is the attempt to find a logical model for, and trace the history of, the catuṣkoṭi as it developed in the Indo-Tibetan milieu and spread, via China, to Japan. After an introduction to the history and key-concepts of Buddhist philosophy, I will finish the first chapter with some methodological considerations about the general viability of comparative philosophy. Chapter §2 is devoted to a logical analysis of the catuṣkoṭi. Several attempts to model this fascinating piece of Buddhist philosophy with (...) the tools of classical logic shall be debunked. A paraconsistent alternative will be discussed but eventually dismissed. As a rejoinder, I shall propose a model for the catuṣkoṭi with the help of speech-acts. The remainder of this chapter will look at Chinese and Japanese forms of the catuṣkoṭi which I shall model in a quasi-recursive system. The third and final chapter will look at the Kyoto School's soku-hi dialectics which ties together the different threads of this essay. I will criticise an established, classical model of the soku-hi dialectics and offer an alternative with a second-order paraconsistent semantics. (shrink)

Huntington ; argues that recent commentators err in attributing to Nāgārjuna and Candrakīrti a commitment to rationality and to the use of argument, and that these commentators do violence to the Madhyamaka project by using rational reconstruction in their interpretation of Nāgārjuna’s and Candrakīrti’s texts. Huntington argues instead that mādhyamikas reject reasoning, distrust logic and do not offer arguments. He also argues that interpreters ought to recuse themselves from argument in order to be faithful to these texts. I demonstrate that (...) he is wrong in all respects: Nāgārjuna and Candrakīrti deploy arguments, take themselves to do so, and even if they did not, we would be wise to do so in commenting on their texts. (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)

This paper evaluates several recent efforts to interpret the work of Nāgārjuna through the lens of modern symbolic logic. An attempt is made to uncover the premises that justify the use of symbolic logic for this purpose. This is accomplished through a discussion of (1) the historical origins of those premises in the Indian and Tibetan traditions, and (2) how such assumptions prejudice our understanding of Nāgā rjuna’s insistence that he has no “proposition” (pratijñā). Finally, the paper sets forth an (...) alternative interpretation that takes into account the literary dimensions of Nāgārjuna’s writing. (shrink)

A pivotal focus of exegesis of Nāgārjuna's Mūlamadhyamakakārïkā (MMK) for the past half century has been the attempt to decipher the text's philosophy of language, and determine how this best aids us in characterizing Madhyamaka thought as a whole. In this vein, MMK 24:18 has been judged of particular weight insofar as it purportedly insists that the concepts pratītyasamutpāda (conditioned co-arising) and śūnyatā (emptiness), both indispensable to Buddhist praxis, are themselves only "nominal" or "conventional," that is, they are merely labels (...) that do not referentially signify anything that can be taken to be an ontologically ultimate reality. In various guises, as a result of this explication, Nāgārjuna's thought has been seen to embrace an overarching linguistic nominalism or conventionalism in which words, whether they are used for the purposes of theory or practice, though they serve as commonly accepted currency in the transactions of worldly business (vyavahāra), are in the end only ideas (prajñapti) or metaphysical fabrications (prapanca). This interpretation is largely due to tenaciously inaccurate translations and expositions of MMK 24:18 and their dependence on Candrakīrti's peculiar analysis of this verse in his Prasannapadā. This essay will attempt to correct both the diction of the major translations of MMK 24:18 and the fictions of nominalism and conventionalism that the consequent interpretations of this stanza have perpetuated. The argument that will be developed in the course of this essay is that Candrakīrti's reading of this verse proffers a strong form of linguistic nominalism that Nāgārjuna himself does not embrace. It will be shown, based on everything else found in the MMK, that Nāgārjuna, rather than advocating the mere nominal or conventional status of terms such as pratītyasamutpāda and sunyata, demands they be accepted as both pedagogically useful and even referentially accurate descriptions of the world as it is. (shrink)

Recently there has been a debate on whether Pyrrho’s philosophy could be influenced by Indian Buddhist philosophy. Discussions revealing striking similarities between them often point out Pyrrho’s complicated sentence, referred to as tetralemma, as one of the most striking similarities. The central question of this paper is whether Pyrrho’s sentence is of the tetralemmatic kind. Authors argue that if Pyrrho’s sentence is not fourfold in structure it could scarcely be classified as similar to the Buddhist tetralemma. A careful analysis of (...) the question is provided, arguing that the approach to the problem of tetralemmatic structure cannot be carried out solely on syntactic grounds. An aspect of a deeper philosophical meaning of the formula is applied, which alone enables us (if at all) to link Pyrrho’s philosophy to Buddhism. (shrink)

This article outlines a genealogical profile of an elusive doctrinal concept that, after being discussed in several Mahāyāna sutras, had a significant impact on East Asian Buddhist traditions. This notion is known as ‘playful samādhi’, in Chinese youxi sanmei 遊戲三昧, which translates to Sanskrit vikrīḍita samādhi. The compound youxi 遊戲 (‘playful’ – ‘at play’) was cited in Chinese sutras and Buddhist documents, in renowned and widely diffused collections of gongans/kōans 公案, was expounded and commented on by Dōgen Zenji 道元禅師 (1200–1253) (...) in its Japanese version yuge 遊戲 and was explored by modern scholars and interpreters as Ryōsuke Ōhashi 大橋良介 and Wu Rujun 吳汝均, who compares youxi 遊戲 with Schiller’s Spieltrieb. Given the significance of ‘playful samādhi’ across different epochs and cultures, I believe a clarification of the term is especially needed. Furthermore, explicit reference to contemporary scholarship on play studies can help uncover its philosophical implications, shedding new light on a complex notion that defies a univocal interpretation and reunites in its semantic field both the aesthetic and religious dimensions. (shrink)