The problem of empty terms is one of the focal issues in analytic philosophy. Russell’s theory of descriptions, a proposal attempting to solve this problem, attracted much attention and is considered a hallmark of the analytic tradition. Scholars of Indian and Buddhist philosophy, e.g., McDermott, Matilal, Shaw and Perszyk, have studied discussions of empty terms in Indian and Buddhist philosophy. But most of these studies rely heavily on the Nyāya or Navya-Nyāya sources, in which Buddhists are portrayed as opponents to (...) be defeated, and thus do not truly reflect Buddhist views on this issue. The present paper will explore how Dignāga, the founder of Buddhist logic, deals with the issue of empty subject terms. His approach is subtle and complicated. On the one hand, he proposes a method of paraphrase that resembles Russell’s theory of descriptions. On the other, by relying on his philosophy of language—the apoha theory, he tends to fall into a panfictionalism. Through the efforts of his follower Dharmakīrti, the latter approach would become more acceptable among Indian and Tibetan Buddhists. Dignāga’s Chinese commentators, who were free from the influence of Dharmakīrti, dealt with the empty term issue in three ways: (1) by adhering to Dignāga’s method of paraphrase; (2) by allowing exceptions for non-implicative negation; and (3) by indicating the propositional attitude of a given proposition. Among these, the third proved most popular. (shrink)

Two of the most important contributions that Bimal Krishna Matilal made to comparative philosophy are his doctoral dissertation The Navya-Nyāya Doctrine of Negation: The Semantics and Ontology of Negative Statements in Navya-Nyāya Philosophy and his classic: Perception: An Essay on Classical Indian Theories of Knowing. In this essay, we aim to carry forward the work of Bimal K. Matilal by showing how ideas in classical Indian philosophy concerning absence and perception are relevant to recent debates in Anglo-analytic philosophy. In particular, (...) we focus on the recent debate in the philosophy of perception centering on the perception of absence. In her Seeing Absence, Anya Farennikova argues for the thesis that we literally see absences. Her thesis is quite novel within the contexts of the traditions that she engages: analytical philosophy of perception, phenomenology, and cognitive neuroscience. In those traditions there is hardly any exploration of the epistemology of absence. By contrast, this is not the case in classical Indian philosophy where the debate over the ontological and epistemological status of absence is longstanding and quite engaging. In what follows, we engage Farennikova’s arguments, and those of John-Rémy Martin and Jérome Dokic in their response to her work. Using the work of Matilal, Bilimoria and Shaw we show that there are several engaging ideas that can be taken from Indian philosophy into the terrain explored by Farennikova, and Martin & Dokic. Our aim is to provide an updated comparative engagement on absence and its perception for the purposes of enhancing future discussions within global philosophy. However, we do not aim to do this merely by focusing on the history of primary texts or on twentieth century commentary on primary texts. Instead, we hope to show that the living tradition of Indian philosophy that Matilal embodied carries forward in his students and colleagues as they revive, revise, and extend Indian philosophy. (shrink)

One of the aims of this paper is to discuss the different senses of the term 'existence' as used by the nyaya philosophers. this discussion leads us to a discussion on absence or negation and its role in logic. a discussion on empty terms has also been introduced in this context. according to the nyaya, existence, knowability and nameability are considered as universal properties. the distinction between these universal properties has been discussed in this context. i have also discussed the (...) question whether the nyaya has used redundant terms in designating the same imposed property by using three different terms. a distinction between different senses of the term 'property' has also been discussed in this context. (shrink)

This paper focuses on the relevance of Indian epistemology and the philosophy of language to contemporary Western philosophy. Hence it discusses (1) how perceptual, inferential and verbal cognitions are related to the same object, (2) how to draw the distinction in meaning between transformationally equivalent sentences, such as ‘Brutus killed Caesar’ and ‘Caesar was killed by Brutus’, and (3) why the predicate-expression is to be considered as unsaturated but the subjectexpression as saturated. In order to answer these questions the Nyāya (...) philosophers have discussed the distinction between several pairs of terms, such as ‘subject–predicate’, ‘qualificand–qualifier’ and ‘the first term–the second term’. This paper also deals with the Nyāya conception of inference for others, and the interpretations of the premise called ‘upanaya’ (‘application’) or the cognition called ‘parāmarśa’ (‘operation’). (shrink)

Negation has occupied a unique place in the history of ideas. Negation as opposed to truth-conditional affirmation has been very much present in Indian and Western thought from very early times. R. S. Bhatnagar of happy memory (1933–2019) in his “Many Splendoured Negation” (Bhatnagar in J Indian Counc Philos Res XXII(3):83–906, 2006) had shown many a facet that could be construed in “negation”. This paper is an attempt to revisit the notion of negation that R. S. Bhatnagar brought to light (...) and to further the germane thought that he had outlined in his concise exposé. Though Bhatnagar had stated that there could be negative and positive functions of negations, a vigilant reading of his article shows that the primary import of Bhatnagar is to examine the positive function of negation. According to R. S. Bhatnagar, even death, which could be the negative in its most feared form, the reality of which, has the positive effect on the soul force in its commitment to live well and die well. R. S. Bhatnagar’s engagement with negation is not complete unless one takes into consideration “negation” as an integral part of philosophizing in India, whether it is the Buddhist tradition or any other tradition. One encounters the philosophical “exercise” on negation enormously in Buddhist thought. The first part of the paper is a brief discussion on the views of Bhatnagar in his essay mentioned with the author’s considerable add-on, while the second part brings home the Buddhist facet and paradigm of negation, the missing link in Bhatnagar. The third part of the paper is an unveilment of the cogitation of R. S. Bhatnagar on “death” in terms of negation. (shrink)

It is often remarked that Indian logic (IL) has no conception of necessity. But what kind of necessity is absent in this system? Logical necessity is presumably absent: the structure of the logical argument in IL is often given as a reason for this claim. However even a cursory understanding of IL illustrates an abiding attempt to formulate the idea of necessity. In Dharmakīrti's classification of inferences, one can detect the formal process of entailment in the inferences arising from class (...) inclusion. In Western philosophy, Leibniz's invocation of 'contingent necessity' as distinguished from the 'necessary necessity' is part of a tradition that finds value in the idea of contingent necessity. In contemporary philosophy, this has been championed by Armstrong, specifically in the context of understanding the necessity inherent in scientific laws. In IL, the analysis of 'invariable concomitance' (vyāpti) is of crucial importance and its definitions are very complex. This paper argues how vyāpti can be understood in terms of contingent necessity and also how the complex definitions can be interpreted as an attempt to define contingent necessity in terms of 'logical' necessity. (shrink)

We perform conceptual acts throughout our daily lives; we are always judging others, guessing their intentions, agreeing or opposing their views and so on. These conceptual acts have phenomenological as well as formal richness. This paper attempts to correct the imbalance between the phenomenal and formal approaches to conceptualization by claiming that we need to shift from the usual dichotomies of cognitive science and epistemology such as the formal/empirical and the rationalist/empiricist divides—to a view of conceptualization grounded in the Indian (...) philosophical notion of “valid cognition”. Methodologically, our paper is an attempt at cross-cultural philosophy and cognitive science; ontologically, it is an attempt at marrying the phenomenal and the formal. (shrink)

This essay is an attempt to analyze, classify and illustrate different scholarly approaches to the Sanskrit philosophical commentaries as reflected in some influential and especially thoughtful studies of Indian philosophy; at the same time it highlights some specific features involving commentary and annotation in general, drawing from results of studies on commentaries conducted in other disciplines and fields, such as Classical and Medieval Studies, Theology, and Early English Literature. In the field of South Asian Studies, philosophical commentaries may be assessed (...) from various overlapping and not always exclusive points of view, such as preservation of otherwise lost historical information, historical authenticity and reliability, interpretational innovation, spiritual or experiential insight, philosophical creativity, intellectual liveliness, doxographic intent, degree of incidentality, expository breadth and explanatory depth. The essay provides numerous examples taken from classical to early modern philosophical literature, especially of the Brahminical and Buddhist traditions, and also discusses their diverging perception by modern scholars and interpretators. (shrink)

This paper is a preliminary analysis of two among the five definitions of falsity ( mithyātva ) presented by Madhusūdana Sarasvatī (MS) in his magnum opus , the Advaitasiddhi . It is mainly focused on the second and fourth definitions, which at first sight appear to be mere repetitions of one another. The first definition of falsity examined is Prakāśātman’s: “falsity is the property of being the counter-positive of the absolute absence of an entity in the [same] locus in which (...) it is perceived.” The other definition investigated was first given by Citsukha: “falsity is the property of being the counter-positive of the absolute absence residing in its own locus.” The mutual differences among these two definitions will be underlined following MS himself, as well as some other authors of the later Advaita Vedānta textual tradition. (shrink)

The late 16th century Indian philosopher Vijñānabhikṣu is most well known today for his commentaries on Sāṃkhya and Yoga texts. However, the majority of his extant corpus belongs to the tradition of Bhedābheda (Difference and Non-Difference) Vedānta. This article elucidates three Vedāntic arguments from Vijñānabhikṣu’s voluminous commentary on the Brahma Sūtra, entitled Vijñānāmṛtabhāṣya (Commentary on the Nectar of Knowledge). The first section of the article explores the meaning of bhedābheda, showing that in Vijñānabhikṣu’s understanding, “difference and non-difference” does not entail (...) a denial of the principle of contradiction. The second shows how the relation between the individual soul (jīva) and Brahman can be understood as a relation of part and whole. The third section discusses Brahman as cause of the world, and Vijñānabhikṣu’s particular formulation of Brahman as “locus cause” (adhiṣṭhānakāraṇa). Understanding these arguments enables us to appreciate how Vijñānabhikṣu’s Difference and Non-Difference Vedānta is a credible alternative to the Advaita Vedānta schools prevalent in northern India in the late medieval period, and how in his later works Vijñānabhikṣu built upon this Difference and Non-Difference metaphysical framework to argue for the unity of Vedānta, Yoga, and Sāṃ-khya philosophies. (shrink)

The theory of negation developed in the grammatical-philosophical system of later Vyākaraṇa remains almost entirely unstudied, despite its close links with the (widely studied) approaches to negation found in other philosophical schools such as Nyāya and Mīmāṃsā, and despite its consequent importance for a comprehensive understanding of the theory of negation in ancient India. In this paper we present an edition, translation and commentary of the relevant sections of Nāgeśa’s _Paramalaghumañjūṣā_, a concise presentation by the final authority of the Pāṇinian (...) tradition, together with an explanatory introduction outlining the grammarians’ theory of negation and its relations particularly with the Nyāya theory of negation. (shrink)

In the Categories Aristotle defined substance as that which is neither predicable of nor in another. In saying that a substance is not predicable of another, Aristotle meant to exclude genera and species from the category substance. Aman is a substance but not man. In saying that a substance is not in another, Aristotle meant to exclude property particulars from the category. A man is a substance, not his color. The Categories treats substances as simples. Though a particular substance, Bucephalus (...) the horse, has parts, it is nevertheless a single entity in the category substance and, hence, incomplex in the way a black thing or a running man are not. Black things and runners are complex because they are aggregates of substances and property particulars. Even if a horse is one substance and, thus, an entity, a horse is made of parts and one may wonder how it is related to its parts, as well as how its being made of parts coheres with the definition of substance given in the Categories. (shrink)

In the present paper we model the Navya-Nyāya analysis of Vedic and secular injunctions and prohibitions by means of Giordani’s and Canavotto’s system ADL of dynamic deontic logic. Navya-Naiyāyikas analyze the meaning of injunctions and prohibitions by reducing them to plain indicative statements about certain properties whose presence or absence in the enjoined or prohibited action serves as a criterion for the truth or falsity of the “inducing” or “restraining knowledge”, a kind of qualificative cognition instilled in the recipient of (...) an injunction or prohibition. Thus, Navya-Naiyāyikas have found their own way to solve Jørgensen’s Puzzle concerning the very idea of a deontic logic as a tool to analyze arguments based on sentences which do not seem to be truth-apt. The teleological aspect of the Navya-Nyāya characterization of an enjoined or prohibited action can also give a clue to solutions of other puzzles and paradoxes which have beset the development of deontic logic in the West. A specific contrary-to-duty puzzle from the Indian tradition is related to the śyena, a malefic sacrifice meant for harming one’s enemy. The Vedic injunction to perform such a sacrifice runs counter to a religious practitioner’s duty not to harm a living being. In the present paper we examine the cogency of the very different solutions to this dilemma suggested by the Mīmāṃsaka Prabhākara on the one hand and the Navya-Naiyāyika Gaṅgeśa on the other hand. (shrink)

The present paper is about three concepts which are crucially involved in Gaṅgeśa's interpretation of a Mīmāṃsā argument against the well-known design inference of the existence of God in Nyāya, namely the concepts “cognition” (jñāna), “certitude” (niścaya) and “doubt” (saṃśaya). According to Maheśa Chandra, the author of the Navya-Nyāya manual Brief Notes on the Modern Nyāya System of Philosophy and its Technical Terms, certitude and doubt are the two varieties of cognition. He illustrates the verbal expression of certitudes by means (...) of declaratives and the verbal expression of doubts by means of interrogatives (functioning as polar or alternative questions). He notes also that different credence levels might be associated with the alternatives involved in a speaker’s doubt. A biassed question in the form of a tag interrogative might be an appropriate way to express such a doubt. In Western logic the idea to treat declaratives and interrogatives on a par, which is anticipated by the Navya-Naiyāyikas' use of the unifying concept of “cognition”, goes back to Frege’s distinction between the semantic content (the “thought”) of a sentence and its force and it was recently elaborated by Ciardelli, Farkas, Groenendijk, Roelofsen et al., the founders of a new branch in logic called “inquisitive logic”. In the present paper we will discuss Maheśa Chandra's succinct exposition of the Navya-Naiyāyikas' innovative approach from the perspective of this type of logic. As an offshoot of our analysis we will try to elucidate Gaṅgeśa's apologetic concerns about the well-known design inference of the existence of God in Nyāya and its liability to be vitiated by a dubious upādhi. (shrink)

An absence and its locus are the same ontological entity. But the cognition of the absence is different from the cognition of the locus. The cognitive difference is caused by a query followed by a cognitive process of introspection. The moment one perceptually knows y that contains only one thing, z, one is in a position to conclude that y contains the absence of any non-z. After having a query as to whether y has x one revisits one’s knowledge of (...) y containing z and comes to know that x is absent from y. Thus the knowledge of the absence of x logically follows from the knowledge of y containing z through the mediation of a query. This analysis goes against the thesis according to which an absence is an irreducible entity that is to be known through senses, and is inspired by the Mīmāṃsā views, especially the Prābhākara views, on absence and its cognition. (shrink)

This paper analyzes the incisive counter-arguments against Gaṅgeśa’s defense of non-conceptual perception offered by the Dvaita Vedānta scholar Vyāsatīrtha in his Destructive Dance of Dialectic. The details of Vyāsatīrtha’s arguments have gone largely unnoticed by subsequent Navya Nyāya thinkers, as well as by contemporary scholars engaged in a debate over the role of non-conceptual perception in Nyāya epistemology. Vyāsatīrtha thoroughly undercuts the inductive evidence supporting Gaṅgeśa’s main inferential proof of non-conceptual perception, and shows that Gaṅgeśa has no basis for thinking (...) that non-conceptual perception has any necessary causal role in generating concept-laden perceptual awareness. He further raises a number of internal inconsistencies and undesirable consequences for Gaṅgeśa’s claim that non-conceptual states are introspectively invisible. His own causal theory of perception is more parsimonious than the Nyāya account, and is equally compatible with direct realism. I conclude by noting several striking parallels between Vyāsatīrtha’s views and the conceptualism of John McDowell, while also suggesting that Vyāsatīrtha's own conceptualism is not unduly constrained by some of McDowell’s limiting assumptions about concepts and perceptual contents. (shrink)

Later Nyāya philosophers maintain that absences are real particulars, irreducible to any positives, that we perceive. The fourteenth-century Nyāya philosopher Gaṅgeśa argues for a condition on absence perception according to which we always perceive an absence as an absence of its counterpositive, or its corresponding absent object or property. Call this condition the ‘counterpositive condition’. Gaṅgeśa shows that the counterpositive condition is both supported by a plausible thesis about the epistemology of relational properties and motivates the defence of absence as (...) irreducible. But against Gaṅgeśa, the sixteenth-century Nyāya philosopher Raghunātha and his seventeenth-century commentators Bhavānanda, Jagadīśa, and Gadādhara identify cases in which the counterpositive condition fails. In this article, I examine the Nyāya-internal debate over this condition. I conclude that Raghunātha makes a compelling case that the counterpositive condition fails. (shrink)

This is a brief philosophical introduction to, and an annotated translation of, the section on absence from Śālikanātha’s Pramāṇapārāyaṇa (Study of the Instruments of Knowledge), a foundational work of Prābhākara epistemology. In this section, which focuses on the epistemology of absence, Śālikanātha argues against the Bhāṭṭa view that there is a sui generis instrument of knowledge (pramāṇa) by which we learn of absence (abhāva). He does so by arguing for a subjective reductionist thesis about absence, according to which the absence (...) of a perceivable (dṛśya) object at a locus is identical with a positive state of awareness (buddhi) whose content includes the locus but not the perceivable object. If correct, Śālikanātha argues, we should therefore learn of absence in the same ways we acquire self-knowledge more generally. While developing his reductionism about absence, Śālikanātha responds to a range of concerns, including the objection that his view cannot explain causation by absence. (shrink)

Cases of past absence involve agents noticing in retrospect that an object or property was absent, such as when one notices later that a colleague was not at a talk. In Sanskrit philosophy, such cases are introduced by Kumārila as counterexamples to the claim that knowledge of absence is perceptual, but further take on a life of their own as a topic of inquiry among Kumārila’s commentators and their Nyāya interlocutors. In this essay, I examine the Nyāya philosopher Gaṅgeśa’s epistemology (...) of past absence, according to which agents learn that a recollectable object or property was absent by inferring its past absence from failing to recall that object or property. Gaṅgeśa’s account is best appreciated against the backdrop of earlier theories and their shortcomings, and I begin by presenting historical views leading up to his. I identify two groups of views about the epistemology of past absence: recollection views, according to which cases of past absence involve agents recalling negative information; and recollection failure views, according to which cases of past absence involve agents failing to recall positive information. I reconstruct two early recollection views: a Bhāṭṭa view belonging to Uṃveka, and a competing Nyāya view belonging to Jayanta and Bhāsarvajña. I then examine Śālikanātha and Sucarita’s critiques of recollection views, following which I reconstruct a Bhāṭṭa recollection failure view belonging to Pārthasārathi. I then examine Gaṅgeśa’s critiques of Pārthasārathi’s account and the recollection failure view he constructs out of its shortcomings. (shrink)

Beginning from some passages by Vācaspati Miśra and Bhāskararāya Makhin discussing the relationship between a crown and the gold of which it is made, this paper investigates the complex underlying connections among difference, non-difference, coreferentiality, and qualification qua relations. Methodologically, philological care is paired with formal logical analysis on the basis of ‘Navya-Nyāya Formal Language’ premises and an axiomatic set theory-based approach. This study is intended as the first step of a broader investigation dedicated to analysing causation and transformation in (...) non-difference. (shrink)

The present paper is a continuation of a previous one by the same title, the content of which faced the issue concerning the relations of coreference and qualification in compliance with the Navya-Nyāya theoretical framework, although prompted by the Advaita-Vedānta enquiry regarding non-difference. In a complementary manner, by means of a formal analysis of equivalence, equality, and identity, this section closes the loop by assessing the extent to which non-difference, the main issue here, cannot be reduced to any of the (...) former. The following sections of this study will focus on the assessment of the eventual possibility of causation and transformation in non-difference. (shrink)

This paper investigates Vācaspati Miśra’s remarkably complex argumentative architecture in support of non-difference by means of a microsimulation model, the classical gold-crown case. A full range of positions, including instantaneism, transformative continuum, indeterminate common basis reference, difference and non-difference coordination, etc., is put under the scrutiny of the Vācaspati Miśra’s dialectic effort. The possibility of coexistence of multiple properties with a single referent is then formally explored. The analysis is carried out in compliance with the ‘Navya-Nyāya Formal Language’ extensional set-based (...) approach and its non-predicative, and variables free, relational syntax. Repeatable modules and structures of reasoning are identified and designed in the form of hypothesis frameworks, axioms and theorems to allow more accurate inferences, in particular regarding transformation and permanence, together with possible or impossible plexuses of properties. Identity and difference qua mutual absence are thoroughly defined with the aid of these formal tools, which conjointly might cast new light on the heuristic and expressive power of Navya-Nyāya logic, as well as on the theoretical potentialities of the non-dualistic account. (shrink)