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Apoha
Buddhist logico-epistemology is a term used in Western scholarship for '' pramāṇa-vāda'' (doctrine of proof) and ''Hetu-vidya'' (science of causes). Pramāṇa-vāda is an epistemological study of the nature of knowledge; Hetu-vidya is a system of logic. These models developed in India during the 5th through 7th centuries. The early Buddhist texts show that the historical Buddha was familiar with certain rules of reasoning used for debating purposes and made use of these against his opponents. He also seems to have held certain ideas about epistemology and reasoning, though he did not put forth a logico-epistemological system. The structure of debating rules and processes can be seen in the early Theravada text the Kathāvatthu. The first Buddhist thinker to discuss logical and epistemic issues systematically was Vasubandhu in his ''Vāda-vidhi'' ("A Method for Argumentation"), who was influenced by the Hindu work on reasoning, the '' Nyāya-sūtra''.Anacker, Stefan (2005, r ...
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Dignāga
Dignāga (a.k.a. ''Diṅnāga'', c. 480 – c. 540 CE) was an Indian Buddhist scholar and one of the Buddhist founders of Indian logic (''hetu vidyā''). Dignāga's work laid the groundwork for the development of deductive logic in India and created the first system of Buddhist logic and epistemology (Pramana). According to Georges B. Dreyfus, his philosophical school brought about an Indian "epistemological turn" and became the "standard formulation of Buddhist logic and epistemology in India and Tibet." Dignāga's thought influenced later Buddhist philosophers like Dharmakirti and also Hindu thinkers of the Nyaya school. Dignāga's epistemology accepted only "perception" ( ''pratyaksa'') and "inference" ('' anumāṇa'') as valid instruments of knowledge and introduced the widely influential theory of "exclusion" (''apoha'') to explain linguistic meaning. His work on language, inferential reasoning and perception were also widely influential among later Indian philosophers ...
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Pramanavarttika
The ''Pramāṇavārttika'' (Brahmi: 𑀧𑁆𑀭𑀫𑀸𑀡𑀯𑀸𑀭𑁆𑀢𑁆𑀢𑀺𑀓, ''Commentary on Valid Cognition''; Tib. ''tshad ma rnam 'grel'') is an influential Buddhist text on pramana (valid instruments of knowledge, epistemic criteria), a form of Indian epistemology. The Pramāṇavārttika is the magnum opus of the Indian Buddhist Dharmakirti (floruit 6-7th centuries). Outline The Pramanavarttika is written in about 2,000 verse stanzas. The four chapters deal, respectively, with inference for oneself (''svarthanumana''), valid knowledge (''pramanasiddhi''), sense perception (''pratyaksa''), and inference for others (''pararthanumana''). The work is a commentary on an earlier work by the Buddhist logician Dignaga, the '' Pramanasamuccaya''. The first chapter discusses the structure and types of formal inference and the ''apoha'' (exclusion) theory of meaning. Dan Arnold writes that apoha is: "the idea that concepts are more precise or determinate (more co ...
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Dharmakirti
Dharmakīrti (fl. c. 6th or 7th century; Tibetan: ཆོས་ཀྱི་གྲགས་པ་; Wylie: ''chos kyi grags pa''), was an influential Indian Buddhist philosopher who worked at Nālandā.Tom Tillemans (2011)Dharmakirti Stanford Encyclopedia of Philosophy He was one of the key scholars of epistemology (pramāṇa) in Buddhist philosophy, and is associated with the Yogācāra and Sautrāntika schools. He was also one of the primary theorists of Buddhist atomism. His works influenced the scholars of Mīmāṃsā, Nyaya and Shaivism schools of Hindu philosophy as well as scholars of Jainism. Dharmakīrti's '' Pramāṇavārttika'', his largest and most important work, was very influential in India and Tibet as a central text on pramana ('valid knowledge instruments') and was widely commented on by various Indian and Tibetan scholars. His texts remain part of studies in the monasteries of Tibetan Buddhism. History Little is known for certain about the life of Dharmak ...
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Classical Logic
Classical logic (or standard logic or Frege-Russell logic) is the intensively studied and most widely used class of deductive logic. Classical logic has had much influence on analytic philosophy. Characteristics Each logical system in this class shares characteristic properties: Gabbay, Dov, (1994). 'Classical vs non-classical logic'. In D.M. Gabbay, C.J. Hogger, and J.A. Robinson, (Eds), ''Handbook of Logic in Artificial Intelligence and Logic Programming'', volume 2, chapter 2.6. Oxford University Press. # Law of excluded middle and double negation elimination # Law of noncontradiction, and the principle of explosion # Monotonicity of entailment and idempotency of entailment # Commutativity of conjunction # De Morgan duality: every logical operator is dual to another While not entailed by the preceding conditions, contemporary discussions of classical logic normally only include propositional and first-order logics. Shapiro, Stewart (2000). Classical Logic. In Stanford Encyclop ...
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Buddhist Philosophy
Buddhist philosophy refers to the philosophical investigations and systems of inquiry that developed among various schools of Buddhism in India following the parinirvana of The Buddha and later spread throughout Asia. The Buddhist path combines both philosophical reasoning and meditation.Siderits, Mark. Buddhism as philosophy, 2007, p. 6 The Buddhist traditions present a multitude of Buddhist paths to liberation, and Buddhist thinkers in India and subsequently in East Asia have covered topics as varied as phenomenology, ethics, ontology, epistemology, logic and philosophy of time in their analysis of these paths. Pre-sectarian Buddhism was based on empirical evidence gained by the sense organs ('' ayatana'') and the Buddha seems to have retained a skeptical distance from certain metaphysical questions, refusing to answer them because they were not conducive to liberation but led instead to further speculation. A recurrent theme in Buddhist philosophy has been the reificatio ...
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Bimal Krishna Matilal
Bimal Krishna Matilal (1 June 1935 – 8 June 1991) was an eminent British-Indian philosopher whose writings presented the Indian philosophical tradition as a comprehensive system of logic incorporating most issues addressed by themes in Western philosophy. From 1977 to 1991, he was the Spalding Professor of Eastern Religion and Ethics at the University of Oxford. Education Literate in Sanskrit from an early age, Matilal was also drawn towards Mathematics and Logic. He was trained in the traditional Indian philosophical system by leading scholars of the Sanskrit College, where he himself was a teacher from 1957 to 1962. He was taught by scholars like pandit Taranath Tarkatirtha and Kalipada Tarkacharya. He also interacted with pandit Ananta Kumar Nyayatarkatirtha, Madhusudan Nyayacharya and Visvabandhu Tarkatirtha. The ''upadhi'' (degree) of Tarkatirtha (master of Logic) was awarded to him in 1962. While teaching at the Sanskrit College (an affiliated college of the University ...
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Buddha
Siddhartha Gautama, most commonly referred to as the Buddha, was a śramaṇa, wandering ascetic and religious teacher who lived in South Asia during the 6th or 5th century BCE and founded Buddhism. According to Buddhist tradition, he was born in Lumbini, in what is now Nepal, to royal parents of the Shakya clan, but Great Renunciation, renounced his Householder (Buddhism), home life to live as a wandering ascetic ( sa, śramaṇa). After leading a life of begging, asceticism, and meditation, he attained Enlightenment in Buddhism, enlightenment at Bodh Gaya in what is now India. The Buddha thereafter wandered through the lower Indo-Gangetic Plain, teaching and building a Sangha, monastic order. He taught a Middle Way between sensual indulgence and severe asceticism, leading to Nirvana (Buddhism), Nirvana, that is, Vimutti, freedom from Avidyā (Buddhism), ignorance, Upādāna, craving, Saṃsāra (Buddhism), rebirth, and suffering. His teachings are summarized in the Noble ...
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Mahavira
Mahavira (Sanskrit: महावीर) also known as Vardhaman, was the 24th ''tirthankara'' (supreme preacher) of Jainism. He was the spiritual successor of the 23rd ''tirthankara'' Parshvanatha. Mahavira was born in the early part of the 6th century BCE into a royal Kshatriya Jain family in ancient India. His mother's name was Trishala and his father's name was Siddhartha. They were lay devotees of Parshvanatha. Mahavira abandoned all worldly possessions at the age of about 30 and left home in pursuit of spiritual awakening, becoming an ascetic. Mahavira practiced intense meditation and severe austerities for twelve and a half years, after which he attained '' Kevala Jnana'' (omniscience). He preached for 30 years and attained Moksha (liberation) in the 6th century BCE, although the year varies by sect. Historically, Mahavira, who revived and preached Jainism in ancient India, was an older contemporary of Gautama Buddha. Jains celebrate ''Mahavir Janma Kalyanak'' every ye ...
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Pramāṇa
''Pramana'' (Sanskrit: प्रमाण, ) literally means " proof" and "means of knowledge".pramANa
Sanskrit-English Dictionary, Koeln University, Germany
James Lochtefeld, "Pramana" in The Illustrated Encyclopedia of Hinduism, Vol. 2: N-Z, Rosen Publishing. , pages 520-521 In Indian philosophies, pramana are the means which can lead to knowledge, and serve as one of the core concepts in Indian . It has been one of the key, much debated fields of study in ,

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Hindu
Hindus (; ) are people who religiously adhere to Hinduism.Jeffery D. Long (2007), A Vision for Hinduism, IB Tauris, , pages 35–37 Historically, the term has also been used as a geographical, cultural, and later religious identifier for people living in the Indian subcontinent. The term ''"Hindu"'' traces back to Old Persian which derived these names from the Sanskrit name ''Sindhu'' (सिन्धु ), referring to the river Indus. The Greek cognates of the same terms are "''Indus''" (for the river) and "''India''" (for the land of the river). The term "''Hindu''" also implied a geographic, ethnic or cultural identifier for people living in the Indian subcontinent around or beyond the Sindhu (Indus) River. By the 16th century CE, the term began to refer to residents of the subcontinent who were not Turkic or Muslims. Hindoo is an archaic spelling variant, whose use today is considered derogatory. The historical development of Hindu self-identity within the local In ...
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Predicate Calculus
Predicate or predication may refer to: * Predicate (grammar), in linguistics * Predication (philosophy) * several closely related uses in mathematics and formal logic: **Predicate (mathematical logic) **Propositional function **Finitary relation, or n-ary predicate **Boolean-valued function **Syntactic predicate, in formal grammars and parsers **Functional predicate *Predication (computer architecture) *in United States law, the basis or foundation of something **Predicate crime **Predicate rules, in the U.S. Title 21 CFR Part 11 * Predicate, a term used in some European context for either nobles' honorifics or for nobiliary particles See also * Predicate logic First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantifie ...
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Pramāṇa
''Pramana'' (Sanskrit: प्रमाण, ) literally means " proof" and "means of knowledge".pramANa
Sanskrit-English Dictionary, Koeln University, Germany
James Lochtefeld, "Pramana" in The Illustrated Encyclopedia of Hinduism, Vol. 2: N-Z, Rosen Publishing. , pages 520-521 In Indian philosophies, pramana are the means which can lead to knowledge, and serve as one of the core concepts in Indian . It has been one of the key, much debated fields of study in ,