Samavaya, the sixth category in the Kanada-sutra, the corner stone of the Nyaya-Vaisesika system of philosophy, on which the grand edifice of the said school has been assiduously built by the followers, from Prasastapada to Sridhara, Uddyotakara to Udayana and Gangesa, has been dealt with in this work, in its entirety and established that the theory of causality depends on Samavaya.The criticism against the concept of Samavaya by the other schools of philosophy, more particularly the attack mounted on it by (...) Buddhist logicians Dharmakirti, Asoka Pandita, Santaraksita, et al. and the Jain scholars such as Akalanka, Manikyanandin and Prabhacandra have been presented in their full vigour. The arguments in defence of Samavaya marshalled by scholars of the Navya-Nyaya school are also put forward, maintaining their flavour, strength and sharpness. By presenting the strength and weakness of all arguments for and against the concept of Samavaya, the present work establishes the concept of Samavaya in its true perspective. This comprehensive work on Samavaya, published for the first time, helps to understand the basic theory of creation and the emergence of the world order as propounded and upheld by the Nyaya-Vaisesika school of philosophy. This is a significant contribution to the modern review of Indian philosophy. (shrink)

Fundamentals of the Lokāyata school in Hindu philosophy.

Human agents draw a variety of inferences effortlessly, spontaneously, and with remarkable efficiency – as though these inferences were a reflexive response of their cognitive apparatus. Furthermore, these inferences are drawn with reference to a large body of background knowledge. This remarkable human ability seems paradoxical given the complexity of reasoning reported by researchers in artificial intelligence. It also poses a challenge for cognitive science and computational neuroscience: How can a system of simple and slow neuronlike elements represent a large (...) body of systemic knowledge and perform a range of inferences with such speed? We describe a computational model that takes a step toward addressing the cognitive science challenge and resolving the artificial intelligence paradox. We show how a connectionist network can encode millions of facts and rules involving n-ary predicates and variables and perform a class of inferences in a few hundred milliseconds. Efficient reasoning requires the rapid representation and propagation of dynamic bindings. Our model (which we refer to as SHRUTI) achieves this by representing (1) dynamic bindings as the synchronous firing of appropriate nodes, (2) rules as interconnection patterns that direct the propagation of rhythmic activity, and (3) long-term facts as temporal pattern-matching subnetworks. The model is consistent with recent neurophysiological evidence that synchronous activity occurs in the brain and may play a representational role in neural information processing. The model also makes specific psychologically significant predictions about the nature of reflexive reasoning. It identifies constraints on the form of rules that may participate in such reasoning and relates the capacity of the working memory underlying reflexive reasoning to biological parameters such as the lowest frequency at which nodes can sustain synchronous oscillations and the coarseness of synchronization. (shrink)

Study of Tattvacintāmaṇididhiti of Raghunātha Śiromaṇi, commentary on Pakṣatā, portion of Tattvacintāmaṇi of Gaṅgeśa, dealing with the essential nature of proposition (pakṣatā), of Navya Nyāya school in Hindu philosophy.

Although the connectionist approach has lead to elegant solutions to a number of problems in cognitive science and artificial intelligence, its suitability for dealing with problems in knowledge representation and inference has often been questioned. This paper partly answers this criticism by demonstrating that effective solutions to certain problems in knowledge representation and limited inference can be found by adopting a connectionist approach. The paper presents a connectionist realization of semantic networks, that is, it describes how knowledge about concepts, their (...) properties, and the hierarchical relationship between them may be encoded as an interpreter‐free massively parallel network of simple processing elements that can solve an interesting class of inheritance and recognition problems extremely fast—in time proportional to the depth of the conceptual hierarchy. The connectionist realization is based on an evidential formulation that leads to principled solutions to the problems of exceptions and conflicting multiple inheritance situations during inheritance, and the best‐match or partial‐match computation during recognition. The paper also identifies constraints that must be satisfied by the conceptual structure in order to arrive at an efficient parallel realization. (shrink)

Classical verse work, with commentary by Ānandabodhendrasarasvatī, expounding early Advaita philosophy.

Festschrift in honor of Damodhar Mahapatra Shastri, 1890-1975, Sanskritist; comprises research articles on Vedic literature, religion, and Sanskrit grammar.

Analytical study of the concept of creation and perception in Vedāntasiddhāntamuktāvalī, treatise on Hindu Advaita (non-dualistic) Vedanta philosophy by Prakāśānanda, 16th cent.

On the life and works of Muni Vidyāraṅya, Advaita thinker and empire builder.

On the problems of epistemology as depicted in the Jaina canonical literature; a study.

Lange & Dyer misunderstand what is meant by an “entity” and confuse a medium of representation with the content being represented. This leads them to the erroneous conclusion that SHRUTI will run out of phases and that its representation of bindings lacks semantic content. It is argued that the limit on the number of phases suffices, and SHRUTI can be interpreted as using “dynamic signatures” that offer significant advantages over fixed preexisting signatures. Bonatti refers to three levels of commitment to (...) a representational theory of the mind and states that SHRUTI is committed to RTM at levels 1 and 2. He acknowledges that SHRUTI is not committed at level 3, but argues that an extended SHRUTI would have to make such a commitment. We agree that SHRUTI is committed to RTM at level 1 and, in a sense, also at level 2. SHRUTI, however, is not committed to RTM at level 3 and, even though it has been extended in several ways, it has retained its original representational character. (shrink)

A Classic In Urdu By The Late Maulavi Habib-Ur-Rahman Shastri On Indian Aesthetics.

Research essays on the negative theory of meaning (Apohavāda) in Buddhist logic.

Page has performed an important service by dispelling several myths and misconceptions concerning the localist approach. The localist position and computational model presented in the target article, however, are overly restrictive and do not address the representation of complex conceptual items such as events, situations, actions, and plans. Working toward the representation of such items leads to a more sophisticated and articulated view of the localist approach.