Indian Logic

Collection of writings on Buddhist logic.

On Bonpo system of philosophical debate on logical points.

Analytical view on Buddhist logic in dialectical debate.

Three works on the fundamentals of Buddhist logic explaining difficult points as per Kagyudpa interpretation and its affiliates.

On Buddhist logic and dialectical studies; Also includes Vinaya root-text on essence of Buddhist ethics by Dharmakīrti, active 7th century and commentary by ʼJam-mgon ʼJu Mi-pham-rgya-mtsho.

Study on Buddhist logic (pramāṇa) system and its development in Tibet.

Study of Tshad ma rigs gter, classic work on logic and epistemology by Sa-skya Paṇḍi-ta.

With a special reference to Jaina epistemology and logic.

Paryāya in numeric cluster of logic system in Buddhist philosophy.

On Buddhist logic of cognition and reasoning; Rnying-ma-pa tradition.

On Tibetan basic Buddhist logic and dialectics.

Study on Pramnānabhūta, Buddhist logic of authoritative.

Study on Tibetan Buddhist logic and dialectical method.

Research work on Jaina logic and epistemology.

Mīmāṁsā, an Indian hermeneutics provides an exhaustive methodology to interpret Vedic statements. A formalism namely, Mīmāṁsā Inspired Representation of Actions has already been proposed in a preliminary manner. This paper expands the formalism logically and includes Syntax and Semantics covering Soundness and Completeness. Here, several interpretation techniques from Mīmāṁsā have been considered for formalising the statements. Based on these, instructions that denote actions are categorized into positive and prohibitive unconditional imperatives and conditional imperatives that enjoin reason, temporal action and goal. (...) These instructions are evaluated to three values S, V and N. If the instruction is executed with the intention of goal, then it acquires the value of S; if the intention of goal is present and the instruction is not executed, then it assumes the value of V; and if there is no intention of goal, then the instruction is evaluated to N. This formalism has also been applied in different computational settings such as AI planning, Robotics, task analysis and classification of natural language instructions. An outline of these applications and the comparison of this formalism with other relevant theories are also presented in this paper. (shrink)

In contrast to a stereotypical account of Indian philosophy that are entailments of the interpreter’s beliefs (an approach that violates basic standards of reason), an approach to Indian philosophy grounded on the constraints of formal reason reveals not only a wide spread disagreement on dharma (THE RIGHT OR THE GOOD), but also a pervasive commitment to the practical foundation of life’s challenges. The flip side of this practical orientation is the criticism of ordinary experience as erroneous and reducible to the (...) agent’s mental states. If we ignore the background practical orientation in Indian philosophy, this seems not like an error theory, that I call Ironic Idealism, but as a defense of idealism. I consider salient candidates for Indian Idealism (Advaita Vedānta, Yogācāra Buddhism, Kāśmīra Śaivism and the Yogavāsiṣṭha) and note that these positions continue a theme in Indian philosophy of articulating Ironic Idealism. Ironic Idealism depends upon the very Indian distinction between ultimate and provisional truth, and Ironic Idealism criticizes the mundane, provisional sort of "truth" as psychological and mental --- and ultimately false. Interpretation, the common approach to the study of Indian philosophy, is an example of what Ironic Idealism criticizes. This explains why authors incorrectly find Idealism everywhere in Indian thought. (shrink)

Buddhist philosophers have investigated the techniques and methodologies of debate and argumentation which are important aspects of Buddhist intellectual life. This was particularly the case in India, where Buddhism and Buddhist philosophy originated. But these investigations have also engaged philosophers in China, Japan, Korea and Tibet, and many other parts of the world that have been influenced by Buddhism and Buddhist philosophy. Several elements of the Buddhist tradition of philosophy are thought to be part of this investigation. -/- There are (...) interesting reasoning patterns discernible in the writings of Buddhist philosophers. For instance, the Mādhyamika philosopher Nāgārjuna presents arguments for the emptiness of all things in terms of catuṣkoṭi (four ‘corners’: roughly speaking, truth, false, both, neither). There are also the Indian vāda (debate) literature and Tibetan bsdus grwa (collected topics) that list techniques of debates. -/- The main interest here is the tradition of Buddhist philosophy, sometimes referred to as Pramāṇavāda, whose central figures are Dignāga (approx. 480–540 CE) and Dharmakīrti (6th– 7th CE). This philosophy is understood to be the Buddhist school of logic-epistemology. ‘Pramāṇavāda’ is not a doxographical term traditionally used to refer to a recognised school of Buddhist philosophy. It is a conventional term that is sometimes used in modern literature. Nevertheless, in what follows, we think of it as a tradition within Buddhist philosophy and ‘Buddhist logic’ refers to what is developed in this tradition. -/- Buddhist logicians have systematically analysed the kind of reasoning involved in acquiring knowledge. They hold that there are valid ways to reason that are productive of knowledge. In what follows, some of the main elements of their analyses will be described. Note, however, that, while exegetical studies of Buddhist texts are important, we must step back from them and consider what is involved in taking a Buddhist approach to logic in light of modern formal logic. This analysis will be done against the backdrop of the contemporary literature on logic and related subjects in contemporary philosophy to make sense of the logical studies by Buddhist logicians. (shrink)

This article is first in a series dedicated to issues in the intellectual history of Mīmāṃsā in early modern India and part of a larger effort to broaden the basis for understanding the new formulations of central topics of the Mīmāṃsā textual-ritual complex in this period. It examines how the Varanasi scholar Khaṇḍadevamiśra makes use of Navyanyāya tools of analysis by putting under the microscope the example of his investigation and new formulation of the signification of agent and agency by (...) the verbal affix in his ample analysis of the cognition of the meaning elements of a sentence. Authors of Mīmāṃsā works in the sixteenth and seventeenth centuries gradually and selectively adopt the tools and techniques of cognitive analysis and the characteristic new idiom elaborated by Navyanaiyāyikas a few centuries earlier. This process of adoption arises on the sidelines of the Advaita–Dvaita Vedānta controversy in South India, then subsequently flourishes in Varanasi, as I have followed elsewhere. In his analysis of the topic studied here, Khaṇḍadeva uses the new tools to revisit the Mīmāṃsā tradition in order to advance his new formulation while refuting certain Navyanyāya rival positions. (shrink)

As a Festschrift, this book celebrates and honours the scholarly achievements of Professor Jaysankar Lal Shaw, one of the most eminent and internationally acclaimed comparative philosophers of our times. Original works by leading international philosophers and logicians are presented here, exploring themes such as: meaning, negation, perception and Indian and Buddhist systems of philosophy, especially Nyaya perspectives. -/- Professor Shaw’s untiring effort to solve some of the problems of contemporary philosophy of language, logic, epistemology, metaphysics and morals from the perspectives (...) of classical Indian philosophers or systems of philosophy is deserving of a tribute. Chapters in this volume reflect the diverse aspects of Shaw’s contribution to comparative philosophy and are organised into four sections: Language, Epistemology, Mathematics and Logic, Ethics and Politics. -/- These chapters would appeal to anyone interested in philosophy or East-West thinking, including students and professionals. Graduates and researchers with interests in epistemology, metaphysics, political philosophy, logic and non-western philosophy will find this work highly relevant. (shrink)

Arthâpatti is a pervasive form of reasoning investigated by Indian philosophers in order to think about unseen causes and interpret ordinary and religious language. Its nature is a point of controversy among Mimamsa, Nyaya, and Buddhist philosophers, yet, to date, it has received less attention than perception, inference, and testimony. This collection presents a one-of-a-kind reference resource for understanding this form of reasoning studied in Indian philosophy. Assembling translations of central primary texts together with newly-commissioned essays on research topics, it (...) features a significant introductory essay. Readable translations of Sanskrit works are accompanied by critical notes that introduce arthâpatti, offer historical context, and clarify the philosophical debates surrounding it. Showing how arthâpatti is used as a way to reason about the basic unseen causes driving language use, cause-and-effect relationships, as well as to interpret ambiguous or figurative texts, this book demonstrates the importance of this epistemic instrument in both contemporary Anglo-analytic and classical Indian epistemology, language, and logic. (shrink)

Hinduism: A Contemporary Philosophical Investigation explores Hinduism and the distinction between the secular and religious on a global scale. According to Ranganathan, a careful philosophical study of Hinduism reveals it as the microcosm of philosophical disagreements with Indian resources, across a variety of topics, including: ethics, logic, the philosophy of thought, epistemology, moral standing, metaphysics, and politics. This analysis offers an original and fresh diagnosis of studying Hinduism, colonialism and a global rise of hyper-nationalism, as well as the frequent acrimony (...) between scholars and practitioners of Hindu traditions. -/- This text is appropriate for use in undergraduate and graduate courses on Hinduism, and Indian philosophy, and can be used as an advanced introduction to the problems of philosophy with South Asian resources. (shrink)

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)

The Conciliatory Character of Jaina Logic. In the previous pages there has been given an indication of the services rendered by the Jainas and N° Brihrna^1 H,e the Buddhists in the formation of the Mediaeval School of Indian Logic. Since the  ...