Buddhist Logic

This chapter explores how the relation between direct experience and discursive modes of knowing is articulated in Indian Buddhism. It focuses on the dialogical-disputational context in which Buddhists advance their empirical claims to knowledge and articulate the principles of reason on which such claims may be defended. The main question concern the tension between the notion that knowledge is ultimately a matter of direct experience––which the Buddhist considers as more normative than other, more indirect, modes of knowing––and the largely discursive (...) and argumentative ways in which such experiential claims are advanced. (shrink)

Статтю присвячено питанню культури часу в тибетському буддизмі. Як об’єкт дослідження обрано вчення про час – Калачакру та його традицію текстів. Проведено спробу культурологічного аналізу впливу доктрини Колеса Часу на всі сфери життя традиційної буддійської спільноти тибетського походження, зокрема прояви цього впливу у науковій думці, релігійній практиці, мистецтві. Акцентовано увагу на спільному ядрі буддійської та бонської версії походження вчення; складено хронологічну послідовність виникнення базових текстів і коментарів, виділено основні етапи поширення вчення; проведено огляд структури концепту часу та її кореляцію з (...) календарною культурою, що уособлює мала буддійська наука «чорних» і «білих» розрахунків. Як ілюстрацію практичного застосування Калачакри презентовано основні тексти із розрахунків традиційної тибетської астрології. (shrink)

Buddhist Illogic. The 2nd Century CE Indian philosopher Nagarjuna founded the Madhyamika (Middle Way) school of Mahayana Buddhism, which strongly influenced Chinese, Korean and Japanese (Ch’an or Zen) Buddhism, as well as Tibetan Buddhism. Nagarjuna is regarded by many Buddhist writers to this day as a very important philosopher, who they claim definitively proved the futility of ordinary human cognitive means. His writings include a series of arguments purporting to show the illogic of logic, the absurdity of reason. He considers (...) this the way to verbalize and justify the Buddhist doctrine of “emptiness” (Shunyata). These arguments attack some of the basic tenets and techniques of reasoning, such as the laws of thought (identity, non-contradiction and the excluded middle), conceptualization and predication, our common assumptions of self, entities and essences, as well as our beliefs in motion and causation. The present essay demonstrates the many sophistries involved in Nagarjuna’s arguments. He uses double standards, applying or ignoring the laws of thought and other norms as convenient to his goals; he manipulates his readers, by giving seemingly logical form (like the dilemma) to his discourse, while in fact engaged in non-sequiturs or appealing to doubtful premises; he plays with words, relying on unclear terminology, misleading equivocations and unfair fixations of meaning; and he ‘steals concepts’, using them to deny the very percepts on which they are based. Although a critique of the Madhyamika philosophical interpretation and defense of “emptiness”, Buddhist Illogic is not intended to dissuade readers from Buddhism. On the contrary, its aim to enhance personal awareness of actual cognitive processes, and so improve meditation. It is also an excellent primer on phenomenological epistemology. (shrink)

Does it make sense to employ modern logical tools for ancient philosophy? This well-known debate2 has been re-launched by the indologist Piotr Balcerowicz, questioning those who want to look at the Eastern school of Jainism with Western glasses. While plainly acknowledging the legitimacy of Balcerowicz's mistrust, the present paper wants to propose a formal reconstruction of one of the well-known parts of the Jaina philosophy, namely: the saptabhangi, i.e. the theory of sevenfold predication. Before arguing for this formalist approach to (...) philosophy, let us return to the reasons to be reluctant at it. (shrink)

A rational interpretation is proposed for two ancient Indian logics: the Jaina saptabhaṅgī, and the Mādhyamika catuṣkoṭi. It is argued that the irrationality currently imputed to these logics relies upon some philosophical preconceptions inherited from Aristotelian metaphysics. This misunderstanding can be corrected in two steps: by recalling their assumptions about truth; by reconstructing their ensuing theory of judgment within a common conceptual framework.

The recent literature on Nāgārjuna’s catuṣkoṭi centres around Jay Garfield’s (2009) and Graham Priest’s (2010) interpretation. It is an open discussion to what extent their interpretation is an adequate model of the logic for the catuskoti, and the Mūla-madhyamaka-kārikā. Priest and Garfield try to make sense of the contradictions within the catuskoti by appeal to a series of lattices – orderings of truth-values, supposed to model the path to enlightenment. They use Anderson & Belnaps's (1975) framework of First Degree Entailment. (...) Cotnoir (2015) has argued that the lattices of Priest and Garfield cannot ground the logic of the catuskoti. The concern is simple: on the one hand, FDE brings with it the failure of classical principles such as modus ponens. On the other hand, we frequently encounter Nāgārjuna using classical principles in other arguments in the MMK. There is a problem of validity. If FDE is Nāgārjuna’s logic of choice, he is facing what is commonly called the classical recapture problem: how to make sense of cases where classical principles like modus pones are valid? One cannot just add principles like modus ponens as assumptions, because in the background paraconsistent logic this does not rule out their negations. In this essay, I shall explore and critically evaluate Cotnoir’s proposal. In detail, I shall reveal that his framework suffers collapse of the kotis. Furthermore, I shall argue that the Collapse Argument has been misguided from the outset. The last chapter suggests a formulation of the catuskoti in classical Boolean Algebra, extended by the notion of an external negation as an illocutionary act. I will focus on purely formal considerations, leaving doctrinal matters to the scholarly discourse – as far as this is possible. (shrink)

We offer a sceptical examination of a thesis recently advanced in a monograph published by Princeton University Press, entitled Greek Buddha: Pyrrho’s Encounter with Early Buddhism in Central Asia. In this dense and probing work, Christopher I. Beckwith, a professor of Central Eurasian studies at Indiana University, Bloomington, argues that Pyrrho of Elis adopted a form of early Buddhism during his years in Bactria and Gandhāra, and that early Pyrrhonism must be understood as a sect of early Buddhism. In making (...) his case Beckwith claims that virtually all scholars of Greek, Indian, and Chinese philosophy have been operating under flawed assumptions and with flawed methodologies, and so have failed to notice obvious and undeniable correspondences between the philosophical views of the Buddha and of Pyrrho. In this study we take Beckwith’s proposal and challenge seriously, and we examine his textual basis and techniques of translation, his methods of examining passages, his construal of problems and his reconstruction of arguments. We find that his presuppositions are contentious and doubtful, his own methods are extremely flawed, and that he draws unreasonable conclusions. Although the result of our study is almost entirely negative, we think it illustrates some important general points about the methodology of comparative philosophy. (shrink)

The square of opposition is a diagram related to a theory of oppositions that goes back to Aristotle. Both the diagram and the theory have been discussed throughout the history of logic. Initially, the diagram was employed to present the Aristotelian theory of quantification, but extensions and criticisms of this theory have resulted in various other diagrams. The strength of the theory is that it is at the same time fairly simple and quite rich. The theory of oppositions has recently (...) become a topic of intense interest due to the development of a general geometry of opposition (polygons and polyhedra) with many applications. A congress on the square with an interdisciplinary character has been organized on a regular basis (Montreux 2007, Corsica 2010, Beirut 2012, Vatican 2014, Rapa Nui 2016). The volume at hand is a sequel to two successful books: The Square of Opposition - A General Framework of Cognition, ed. by J.-Y. Béziau & G. Payette, as well as Around and beyond the Square of Opposition, ed. by J.-Y. Béziau & D. Jacquette, and, like those, a collection of selected peer-reviewed papers. The idea of this new volume is to maintain a good equilibrium between history, technical developments and applications. The volume is likely to attract a wide spectrum of readers, mathematicians, philosophers, linguists, psychologists and computer scientists, who may range from undergraduate students to advanced researchers. (shrink)

Although the tradition of the Buddhist logic in India had been developed through the debates with non-Buddhists, that in pre-modern Japan hardly had such experiences. The applications of inmyō were limited to the disputes between the Hossō school (Japanese transmission of Yogācāra school) and another Buddhist schools. During the rapid modernization and westernization after the Meiji restoration, however, Buddhist logicians also encountered the non-Buddhist cultures including the deductive and inductive logics, Christianity, democracy and republicanism imported from Western countries. A part (...) of them, such as Kira Kōyō, regarded inmyō as useful for the democratic discussion, and promoted it to the politicians and the legal professionals. Their introductory books about inmyō included many sample expressions which criticized the existence of God and the authenticity of republicanism, as well as the unequal treaties forced by Europe and America. In spite of those efforts, inmyō did not become popular in modern Japan. In addition, it also lost the scholars' interest in the twentieth century, because of the introduction of the scriptures of Indian logic in Sanskrit and Tibetan. But the inmyō studies in Meiji period should not be ignored, since they were regarded not only as one of the intellectual refutations to the West in East Asia, but also as the previous researches which were studied by East Asian scholars of the Buddhist logic. (shrink)

In one of his key texts, the Mūlamadhyamakakārikā, Nāgārjuna famously sets out to refute the ontology of essence.1 He presents numerous arguments to show that things don’t exist essentially—that is, that things are empty of essence or inherent existence. The doctrine of emptiness has been variously understood by traditional and contemporary commentators. Most radical is the recent interpretation presented by Garfield and Priest. They have rationally reconstructed Nāgārjuna’s doctrine of emptiness as an endorsement of the contradictory nature of reality. According (...) to them, Nāgārjuna can be seen to be arguing that the way in which things exist in reality and what we can truly say about them must be... (shrink)

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)

What might early Buddhist teachings offer neuroscience and how might neuroscience inform contemporary Buddhism? Both early Buddhist teachings and cognitive neuroscience suggest that the conditioning of our cognitive apparatus and brain plays a role in agency that may be either efficacious or non-efficacious. Both consider internal time to play a central role in the efficacy of agency. Buddhism offers an approach that promises to increase the efficacy of agency. This approach is found in five early Buddhist teachings that are re-interpreted (...) here with a view to explaining how they might be understood as a dynamic basis for ‘participatory will’ in the context of existing free will debates and the neuroscientific work of Patrick Haggard (et al.). These perspectives offer Buddhism and neuroscience a basis for informing each other as the shared themes of: (1) cognition is dynamic and complex/aggregate based, (2) being dynamic, cognition lacks a fixed basis of efficacy, and (3) efficacy of cognition may be achieved by an understanding of the concept of dynamic: as harmony and efficiency and by means of Buddha-warranted processes that involve internal time. (shrink)

ABSTRACT The aim of this paper is to provide a sketch on the way Nāgārjuna deals with the idea of 'relation'. The concept of 'relation' as expressed in the Pāli sources is here theoretically systematized according to three patterns: 1. logical, 2. strictly subordinative existential, 3. non-strictly subordinative existential. After having discussed Nāgārjuna's acceptance and treatment of these three patterns, particular attention is paid to the non-strictly subordinative existential relation. This kind of relation is meant to describe the way the (...) factors of the conditioned co-origination are linked to each other and is exemplified by Nāgārjuna by means of the father-son bond. A possible way to explain the conditioned co-origination doctrine in the light of the father-son example is here suggested by having resource to the 'Cambridge change' theory. Even if in the Pāli Canon the non-strictly subordinative existential pattern is said to apply to all the other factors of the conditioned co-origination, there is no direct evidence that it concerns also the avidyā-saṃskāras link. It will be shown how Nāgārjuna, by applying it to the avidyā-saṃskāras link, seems to introduce a new perspective in the conditioned co-origination theory. RESUMO O objetivo deste artigo é proporcionar um esboço da maneira na qual Nāgārjuna aborda a ideia de 'relação'. O conceito de 'relação' que encontramos nas fontes pāli é aqui sistematizado teoricamente conforme três padrões: 1. lógico, 2. existencial estritamente subordinativo, 3. existencial não estritamente subordinativo. Após ter discutido a recepção e o tratamento nagarjunianos desses três padrões, este estudo dedica atenção especial à relação existencial não estritamente subordinativa. Esse tipo de relação visa descrever a maneira na qual os fatores da cooriginação condicionada estão ligados entre eles, e é tipificada por Nāgārjuna pelo exemplo da ligação pai-filho. Para explicar a doutrina da cooriginação condicionada à luz do exemplo pai-filho, um modo possível aqui sugerido é por meio do recurso à teoria do 'Cambridge change'. Embora no cânone pāli se diga que o modelo de relação existencial não estritamente subordinativa se aplique a todos os outros fatores da cooriginação condicionada, não há nenhuma evidência direta de que ele concerna também à ligação avidyā-saṃskāras. Será mostrado como Nāgārjuna, ao aplicar esse modelo à ligação avidyā-saṃskāras, pareça introduzir uma nova perspectiva na teoria da cooriginação condicionada. (shrink)

This article surveys some of the most influential Buddhist arguments in defense of idealism. It begins by clarifying the central theses under dispute and rationally reconstructs arguments from four major Buddhist figures in defense of some or all of these theses. It engages arguments from Vasubandhu’s Viṃśikā and Triṃśikā; Dignāga’s matching-failure argument in the Ālambanaparīkṣā; the sahopalambhaniyama inference developed by Dharmakīrti; and Xuanzang’s weird but clever logical argument that intrigued philosophers in China and Japan. It aims to clarify what is (...) being argued and motivate these arguments in terms of their presuppositions. These presuppositions range from views about the nature of mind and metaphysics to epistemology and logic. By making this context explicit, this article introduces central ideas in Buddhist philosophy and suggests ways in which they were mobilized in support of an idealist conclusion. (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)

What is the rational response when confronted with a set of propositions each of which we have some reason to accept, and yet which taken together form an inconsistent class? This was, in a nutshell, the problem addressed by the Jaina logicians of classical India, and the solution they gave is, I think, of great interest, both for what it tells us about the relationship between rationality and consistency, and for what we can learn about the logical basis of philosophical (...) pluralism. The Jainas claim that we can continue to reason in spite of the presence of inconsistencies, and indeed construct a many-valued logical system tailored to the purpose. My aim in this paper is to offer a new interpretation of that system and to try to draw out some of its philosophical implications. (shrink)

The present paper discusses some concepts and materials that may be linked to Īśvarasena’s theory of non-cognition. These include the concept of feiliang 非量 as found in the writings of Dharmapāla, Asvabhāva, Jinaputra and their Chinese counterparts, and apramāṇatā (or apramāṇatva), as found in the works of Dharmakīrti and his commentators. I shall demonstrate that the two concepts in many ways mirror the theory of three pramāṇas, proposed by Īśvarasena. As most of these materials are from the sixth to eighth (...) century, they are extremely helpful for clarifying the early development of the theory of non-cognition and filling gaps in our understanding of the early development of this theory. (shrink)

The title of the present paper might arouse some curiosity among the minds of the readers. The very first question that arises in this respect is whether India produced any logic in the real sense of the term as has been used in the West. This paper is centered only on the three systems of Indian philosophy namely Nyāya, Buddhism and Jainism. We have been talking of Indian philosophy, Indian religion, Indian culture and Indian spirituality, but not that which are (...) of more fundamental concepts for any branch of knowledge whether it is social sciences or humanities. No aspect of human life and the universe has been left unexamined by Indian philosophers, and this leads to a totality of vision in both philosophical and psychological fields. In this paper we will discuss the main thinkers, sources and main concepts related to Indian Logic. (shrink)