Indian Logic, Misc

Analytic philosophers have, since the pioneering work of B.K. Matilal, emphasized the contributions of Nyāya philosophers to what contemporary philosophy considers epistemology. More recently, scholarly work demonstrates the relevance of their ideas to argumentation theory, an interdisciplinary area of study drawing on epistemology as well as logic, rhetoric, and linguistics. This paper shows how early Nyāya theorizing about argumentation, from Vātsyāyana to Jayanta Bhaṭṭa, can fruitfully be juxtaposed with the pragma-dialectic approach to argumentation pioneered by Frans van Eemeren. I illustrate (...) the implications of this analysis with a case study from Jayanta Bhaṭṭa’s satirical play, Much Ado about Religion (Āgamaḍambara). (shrink)

The tradition of Nyāya philosophy centers on a dispassionate quest for truth which is simultaneously connected to soteriological and epistemic aims. This article shows how Vācaspati Miśra brings together the soteriological concept of dispassion with the discourse practices of debate, as a response to Buddhist criticisms in Dharmakīrti’s Vādanyāya. He defends the Nyāyasūtra’s stated position that fallacious reasoning is a legitimate means for a debate, under certain circumstances. Dharmakīrti argues that such reasoning is rationally ineffective and indicates unvirtuous qualities. For (...) Vācaspati, fallacies are a way to prevent the spread of morally weighty falsehoods when no other method is available to a debater. After showing textual relationships between Vācaspati’s defense and Dharmakīrti’s earlier criticism, it evaluates their arguments, concluding that Vācaspati’s position involves irresolvable tensions with other Nyāya commitments. (shrink)

'गोडेल के रास्ते' में तीन प्रख्यात वैज्ञानिकों ने अनिर्णय, अपूर्णता, यादृच्छिकता, गणनाऔरता और परासंगति जैसे मुद्दों पर चर्चा की। मैं Wittgensteinian दृष्टिकोण से इन मुद्दों दृष्टिकोण है कि वहाँ दो बुनियादी मुद्दों जो पूरी तरह से अलग समाधान है. वहाँ वैज्ञानिक या अनुभवजन्य मुद्दों, जो दुनिया के बारे में तथ्य है कि अवलोकन और दार्शनिक मुद्दों की जांच की जरूरत है के रूप में कैसे भाषा intelligibly इस्तेमाल किया जा सकता है (जो गणित और तर्क में कुछ सवाल शामिल हैं), (...) जो की जरूरत है एकटी कैसे हम वास्तव में विशेष संदर्भों में शब्दों का उपयोग देख कर फैसला किया. जब हम जो भाषा खेल हम खेल रहे हैं के बारे में स्पष्ट हो, इन विषयों को किसी भी अन्य की तरह साधारण वैज्ञानिक और गणितीय सवाल देखा जाता है. है Wittgenstein अंतर्दृष्टि शायद ही कभी बराबर किया गया है और कभी नहीं पार कर रहे हैं और के रूप में आज के रूप में प्रासंगिक हैं के रूप में वे 80 साल पहले थे जब वह ब्लू और ब्राउन पुस्तकें हुक्म दिया. अपनी असफलताओं के बावजूद-वास्तव में एक समाप्त पुस्तक के बजाय नोटों की एक श्रृंखला-यह इन तीन प्रसिद्ध विद्वानों के काम का एक अनूठा स्रोत है जो आधे से अधिक सदी से भौतिकी, गणित और दर्शन के खून बह रहा किनारों पर काम कर रहे हैं। दा कोस्टा और डोरिया Wolpert द्वारा उद्धृत कर रहे हैं (नीचे देखें या Wolpert पर मेरे लेख और Yanofsky 'कारण की बाहरी सीमा' की मेरी समीक्षा) के बाद से वे सार्वभौमिक गणना पर लिखा था, और उनके कई उपलब्धियों के बीच, दा कोस्टा में अग्रणी है paraconsistency. आधुनिक दो systems दृश्यसे मानव व्यवहार के लिए एक व्यापक अप करने के लिए तारीख रूपरेखा इच्छुक लोगों को मेरी पुस्तक 'दर्शन, मनोविज्ञान, मिनडी और लुडविगमें भाषा की तार्किक संरचना से परामर्श कर सकते हैं Wittgenstein और जॉन Searle '2 एड (2019). मेरे लेखन के अधिक में रुचि रखने वालों को देख सकते हैं 'बात कर रहेबंदर- दर्शन, मनोविज्ञान, विज्ञान, धर्म और राजनीति पर एक बर्बाद ग्रह --लेख और समीक्षा 2006-2019 3 एड (2019) और आत्मघाती यूटोपियान भ्रम 21st मेंसदी 4वें एड (2019) . (shrink)

This paper encapsulates the debate as to whether or not tarka is an additional source of knowledge. In this regard, Jaina thinkers opine that they are, unlike Buddhists and Nyāya thinkers, an additional source of knowledge, for what we come to know through tarka is not known through any other means of knowledge. En route, Jaina’s understanding of tarka is put forth, thereafter their criticism of others’ understanding is supplied. Eventually, some recent discussions over this debate are intimated that seem (...) to go in support of Jaina understanding of tarka. These recent discussions hint at the direction in which Jaina thinkers need to advance their stand. (shrink)

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)

Often translated simply as "logic," the Sanskrit word _nyāya_ means "rule of reasoning" or "method of reasoning." Texts from the school of classical Indian philosophy that bears this name are concerned with cognition, reasoning, and the norms that govern rational debate. This translation of selections from the early school of Nyāya focuses on its foundational text, the _Nyāya-sūtra_, with excerpts from the early commentaries. It will be welcomed by specialists and non-specialists alike seeking an accessible text that both represents some (...) of the best of Indian philosophical thought and can be integrated into courses on Indian philosophy, religion, and intellectual culture. (shrink)

The authors make an attempt to comparatively analyse some stances of the Old Indian philosophy of language, exemplified by the Medieval Indian author Jayanta, along with the Western tradition of the analytical philosophy of language, and to highlight the differences as well as the similarities. The main focus is on Jayanta's discussion of the meaning vs. reference problem.

This paper examines three commentaries on the Śabdapariccheda in Kumārila Bhaṭṭa’s Ślokavārttika, along with the the seventeenth century Bhāṭṭa Mīmāṃsā work, the Mānameyodaya. The focus is the Mīmāṃsā principle that only sentences communicate qualified meanings and Kumārila’s discussion of a potential counter-example to this claim–single words which appear to communicate such content. I argue that there is some conflict among commentators over precisely what Kumārila describes with the phrase sāmarthyād anumeyetvād, although he is most likely describing ellipsis completion through arthāpatti. (...) The paper attempts both a cogent exegesis and philosophical evaluation of the Bhāṭṭa Mīmāṃsā view of ellipsis completion, arguing that there remain internal tensions in the account of ellipsis preferred by the Bhāṭṭa, tensions which are not entirely resolved even by the late date of the Mānameyodaya. (shrink)

In this paper, I examine Kumārila Bha ṭṭ a's account of figurative language in Tantravārttika 1.4.11-17, arguing that, for him, both metonymy and metaphor crucially involve verbal postulation, a knowledge-conducive cognitive process which draws connections between concepts without appeal to speaker intention, but through compositional and contextual elements. It is with the help of this cognitive process that we can come to have knowledge of what is meant by a sentence in context. In addition, the paper explores the relationship between (...) metonymy and metaphor, the extent to which putatively literal language involves metonymy, and the objective constraints for metaphorical interpretation. (shrink)

An alternative semantic framework is proposed in the following to reconstruct and make sense of “Eastern logics”: a Question-Answer Semantics (thereafter: QAS), including a set of questions-answers and a finite number of ensuing non-Fregean logical values. Thus, meaning is provided by yes-no answers to corresponding questions about relevant properties. These logical values help to show that the saptabhaṅgī (and its dual, viz., the Buddhist Mādhyamaka catuṣkoṭi) is not a many-valued paraconsistent logic but, rather, a one-valued proto-logic: a constructive machinery that (...) serves as a formal theory of judgment, rather than a Tarskian-like theory of consequence. Such an explanatory model of contradiction assumes a deep redefinition of logical values. (shrink)

Graham Priest in collaboration with J. Garfield and Y. Deguchi (henceforth: DGP) wrote several articles and responses arguing that the Buddhist philosopher Nagarjuna was a dialetheist thinker, i.e. that he not just identified and exposed certain contradictions but that he embraced it. These contradictions, according to DGP, always occur ``at the limits of thought'' i.e. when a certain view at the same time transcends the limit (``transcendence'') and is within that limit (``closure''). In Nagarjuna's case, these limital contradictions arise at (...) the boundary between ``conventional reality/truth'' (samvrti-sat/satya) and ``ultimate reality/truth'' (paramartha-sat/satya). Ultimate truth is that things lack intrinsic nature (svabhava}), i.e. that they are empty (sunya) of intrinsic nature. This emptiness is universal and it includes emptiness itself (emptiness of emptiness). But that means that being empty is intrinsic property of all things so it comes out that things both have (conventional truth) and lack (ultimate truth) intrinsic nature. This is ontological paradox. DGP identify also semantic and expressibility paradoxes in Nagarjuna. Although logically coherent and philosophically intriguing, I think that DGP's interpretation nevertheless overlooks a special kind of semantics that, presumably, works behind Nagarjuna's reasoning and that would be best described in terms of difference between first and second order statements, i.e. between terms referring to the world (primary system) and terms referring to the primary system (meta-system, comprising the ``meta'' concept of emptiness). Working in these two semantic levels N\={a}g\={a}rjuna, I believe, escapes contradictions --- and Nagarjuna is aware of them --- that arise ``at the limits of thought''. (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)

This paper undertakes textual exegesis and rational reconstruction of Mukula Bhaṭṭa’s Abhidhā-vṛttta-mātṛkā, or “The Fundamentals of the Communicative Function.” The treatise was written to refute Ānandavardhana’s claim, made in the Dhvanyāloka, that there is a third “power” of words, vyañjanā (suggestion), beyond the two already accepted by traditional Indian philosophy: abhidhā (denotation) and lakṣaṇā(indication).1 I argue that the explanation of lakṣaṇā as presented in his text contains internal tensions, although it may still be a compelling response to Ānandavardhana.

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)

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 intellectual culture of India presents us with highly elaborated theories of verbal cognition, known in Sanskrit philosophical literature under the generic name of sabdabodha. The theory explored in this book represents the content of the cognition derived from linguistic utterances as a paraphrase centered on a meaning element-the principal qualificand, which is qualified by other meaning elements. Thinkers of the Mimamsa, Nyaya and Vyakarana schools concern themselves with this topic, situated at the interface between epistemology, linguistics, scriptural exegesis and (...) logic, and deeply embedded in wider conceptual networks. The three competing versions of the theory and the intriguing questions they raise have never received extensive and historical treatment. -/- Debating Verbal Cognition expounds the debate between the philosophers of the three schools, setting the arguments in their philosophical, doctrinal and historical context. It provides a timeline through the history of this debate, revealing the complexity of argumentation and drawing in particular attention to the bigger picture beyond the purely linguistic stand. The central argument focuses on the capacity of the initial contexts, with the network of issues to which the theory is connected, to render intelligible the presuppositions and aims behind the complex justification of the late stages. -/- This book is an attempt to understand the rationality and internal coherence of each position, and to make sense of the reasons why the thinkers of the three schools have continued over the centuries to hold on to three mutually exclusive positions, despite the fact that none of the schools can give an all-comprehensive and unitary form of the theory. (shrink)

Philosophy is a subject which does not concerned only to an expert or specialist. It appears that there is probably no human being who does not philosophise. Good philosophy expands one’s imagination as some philosophy is close to us, whoever we are. Then of course some is further away, and some is further still, and some is very alien indeed. We raise questions about the assumptions, presuppositions, or definitions upon which a field of inquiry is based, and these questions can (...) be concerned with the meaning, significance, or integration of the results discovered or proposed by a field of inquiry. We find Karmic, Bhaktic and Jnanic interpretations of an ancient text in Indian philosophy because of different approaches adopted to inquire the text. This paper is an attempt to draw an outline of Upanishadic methods of inquiry in Indian philosophical tradition. Several methods like Enigmatic, Aphoristic, Etymological, Mythical, Analogical, Dialectical, Synthetic, Monologic, Temporising and Regressive methods etc. we can find in Upanishads. (shrink)

Recent years have seen the beginning of a radical reassessment of the philosophical literature of ancient and classical India. The analytical techniques of contemporary philosophy are being deployed towards a fresh and original interpretation of the texts. This rational rather than mystical approach towards Indian philosophical theories has resulted in a need to work which explains afresh its central methods, courses and devices. It is with this spirit of thought and background that I want to publish a book to discuss (...) the relevance and need of classical Indian thoughts. The present collection is a significant step on this part because it recognizes the potentials of classical Indian tradition and its vast wisdom to contribute in all realms of life. Here we have collected 20 papers both in English and Hindi language written on Indian epistemology, metaphysics, logic, ethics and social philosophy. But in this volume only 9 papers were published and remaining papers will be published in second edition along with the same papers. To study the nature of philosophy in India and its implementation in all spheres of human life is one of the most important objectives of our Centre. In this regard we have published two online books entitled Philosophy, Education and Indian Value System and Positive Philosophy for Contemporary Indian Society, respectively. (shrink)

A spirit of disintegration and disunity is conspicuous on the contemporary social, as well as philosophical scene. There is a celebration of fragments and differences. In such a scenario, no less than a person like Amartya Sen, an eminent economist and a Noble Laureate rose to the occasion and traced out the roots and the space for a democratic discourse that has been sustained in the Indian philosophical tradition. It is laudable that he opened up a discussion that will strengthen (...) the democratic spirit which is missing in the present. This paper examines the ‘dialogic tradition’ projected by Amartya Sen in his Argumentative Indian (2005). (shrink)

DEFINITIONAL DICTIONARY OF LOGIC -/- 2009 -/- Complied by -/- Dr Desh Raj Sirswal -/- .