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)

The Indian philosopher Acarya Nagarjuna (c. 150-250 CE) was the founder of the Madhyamaka (Middle Path) school of Mahayana Buddhism and arguably the most influential Buddhist thinker after Buddha himself. Indeed, in the Tibetan and East Asian traditions, Nagarjuna is often referred to as the "second Buddha." This book presents a survey of the whole of Nagarjuna's philosophy based on his key philosophical writings. His primary contribution to Buddhist thought lies in the further development of the concept of sunyata or (...) "emptiness." For Nagarjuna, all phenomena are without any svabhava, literally "own-nature" or "self-nature," and thus without any underlying substance. Particular emphasis is put on discussing Nagarjuna's thinking as philosophy. The present discussion shows how his thoughts on metaphysics, epistemology, the self, language, and truth present a unified theory of reality with considerable systematic appeal. The book offers a systematic account of Nagarjuna's philosophical position. It reads Nagarjuna in his own philosophical context, but also shows that the issues of Indian and Tibetan Buddhist philosophy have at least family resemblances to issues in European philosophy. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

: Nagarjuna seems willing to embrace contradictions while at the same time making use of classic reductio arguments. He asserts that he rejects all philosophical views including his own-that he asserts nothing-and appears to mean it. It is argued here that he, like many philosophers in the West and, indeed, like many of his Buddhist colleagues, discovers and explores true contradictions arising at the limits of thought. For those who share a dialetheist's comfort with the possibility of true contradictions commanding (...) rational assent, for Nagarjuna to endorse such contradictions would not undermine but instead confirm the impression that he is indeed a highly rational thinker. It is argued that the contradictions he discovers are structurally analogous to many discovered by Western philosophers and mathematicians. (shrink)

This book offers a unique synthesis of past and current work on the structure, meaning, and use of negation and negative expressions, a topic that has engaged thinkers from Aristotle and the Buddha to Freud and Chomsky. Horn's masterful study melds a review of scholarship in philosophy, psychology, and linguistics with original research, providing a full picture of negation in natural language and thought; this new edition adds a comprehensive preface and bibliography, surveying research since the book's original publication.

This is a formal and systematic study of the logical foundations of speech act theory. The study of speech acts has been a flourishing branch of the philosophy of language and linguistics over the last two decades, and John Searle has of course himself made some of the most notable contributions to that study in the sequence of books Speech Acts, Expression and Meaning and Intentionality. In collaboration with Daniel Vanderveken he now presents the first formalised logic of a general (...) theory of speech acts, dealing with such things as the nature of an illocutionary force, the logical form of its components, and the conditions of success of elementary illocutionary acts. The central chapters present a systematic exposition of the axioms and general laws of illocutionary logic. (shrink)

Graham Priest presents an exploration of the development of Buddhist metaphysics, which is viewed through the lens of the catuskoti. In its earliest and simplest form this is a logical/metaphysical principle which says that every claim is true, false, both, or neither; but Priest shows how the principle itself evolves as the metaphysics develops.

ABSTRACTLinguistic evidence supports the claim that certain, weak rejections are less specific than assertions. On the basis of this evidence, it has been argued that rejected sentences cannot be premisses and conclusions in inferences. We give examples of inferences with weakly rejected sentences as premisses and conclusions. We then propose a logic of weak rejection which accounts for the relevant phenomena and is motivated by principles of coherence in dialogue. We give a semantics for which this logic is sound and (...) complete, show that it axiomatizes the modal logic KD45 and prove that it still derives classical logic on its asserted fragment. Finally, we defend previous logics of strong rejection as being about the linguistically preferred interpretations of weak rejections. (shrink)

There is unanimous agreement that Nāgārjuna (ca 150–250 AD) is the most important Buddhist philosopher after the historical Buddha himself and one of the most original and influential thinkers in the history of Indian philosophy. His philosophy of the “middle way” (madhyamaka) based around the central notion of “emptiness” (śūnyatā) influenced the Indian philosophical debate for a thousand years after his death; with the spread of Buddhism to Tibet, China, Japan and other Asian countries the writings of Nāgārjuna became an (...) indispensable point of reference for their own philosophical inquiries. A specific reading of Nāgārjuna's thought, called Prāsaṅgika-Madhyamaka, became the official philosophical position of Tibetan Buddhism which regards it as the pinnacle of philosophical sophistication up to the present day. (shrink)

In this volume, Bimal K. Matilal blends knowledge contained in original Sanskrit texts and modern philosophical terminology in interpreting and reconstructing early philosophical theories, highlighting the critical and analytical nature of the Indian philosophical tradition.

INTRODUCTION: THE NAME MADHYAMAKA The Madhyamaka school of Mahayana Buddhism goes back to Nagarjuna, the great Indian Buddhist philosopher who is placed ...

This book gives a descriptive analysis of specific Madhyamika texts. It compares the ideology of Kumarajiva (a translator of the four Madhyamika treatises 400 A.D.) with the ideologies of the three Chinese contemporaries - HuiYuan, Seng-Jui and Seng-Chao. It envisages an intercultural transmission of religious and philosophical ideas from India to China.

This work is primarily an interpretation of Indian Logic preserved in China.

Jan Westerhoff unfolds the story of one of the richest episodes in the history of Indian thought, the development of Buddhist philosophy during the first millennium CE. He aims to offer the reader a systematic grasp of key Buddhist concepts such as non-self, suffering, reincarnation, karma, and nirvana.

Until less than a century ago, the two prevailing views of dreams as well as of souls were that they are inconsequential or of divine origin. In either case it was assumed that they cannot be objects of rational inquiry. Similar views still prevail regarding mystical experiences and mysticism in general. Modern Western opinion, whether friendly or hostile, holds that the mystical falls squarely within the domain of the irrational. Mr. Staal argues that mysticism can be studied rationally, and that (...) without such study no theory of mind is complete. He exposes the grounds for the belief that mysticism cannot be studied, and shows them to be prejudices issuing from a particular historical development. While his contention has unflattering implications for the contemporary study of the humanities in general, it reveals in particular that existing academic approaches to the study of mysticism, even those that appear sound, are in fact inadequate. This conclusion applies to a variety of dogmatic inquiries and, as becomes clear in these pages, to philological, historical, phenomenological, sociological, physiological, and psychological ones as well. The illustrations in _Exploring Mysticism_ are drawn mainly from Indian forms of mysticism such as Yoga, supplemented with Buddhist, Taoist, Muslim and Christian examples. (shrink)

The paper looks at how Tsong kha pa, mKhas grub, and Go rams pa understood the third and fourth lemmas in the tetralemma, “both A and B” and “neither A nor B,” respectively.

four ancestry, is that there are . A proposition may be true (and true only), false (and false only), both true and false, neither true nor false , ,.

A number of different kinds of negation and negation of negation are developed in Indian thought, from ancient religious texts to classical philosophy. The paper explores the Mīmāṃsā, Nyāya, Jaina and Buddhist theorizing on the various forms and permutations of negation, denial, nullity, nothing and nothingness, or emptiness. The main thesis argued for is that in the broad Indic tradition, negation cannot be viewed as a mere classical operator turning the true into the false, nor reduced to the mainstream Boolean (...) dichotomy: 1 versus 0. Special attention is given to how contradiction is handled in Jaina and Buddhist logic. (shrink)