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Catuṣkoṭi
''Catuṣkoṭi'' (Sanskrit; Devanagari: चतुष्कोटि, , Sinhalese:චතුස්කෝටිකය) refers to logical argument(s) of a 'suite of four discrete functions' or 'an indivisible quaternity' that has multiple applications and has been important in the Indian logic and the Buddhist logico-epistemological traditions, particularly those of the Madhyamaka school. In particular, the catuṣkoṭi is a "four-cornered" system of argumentation that involves the systematic examination of each of the 4 possibilities of a proposition, ''P'': # ''P''; that is being. # not ''P''; that is not being. # ''P'' and not ''P''; that is being and that is not being. # not (''P'' or not ''P''); that is neither not being nor is that being. These four statements hold the following properties: (1) each alternative is mutually exclusive (that is, one of, but no more than one of, the four statements is true) and (2) that all the alternatives are together exhaustiv ...
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Ajñana
''Ajñāna'' (, (Vedic) IPA: /ɐd͡ʑ.ɲɑː.nɐ/; (Classical) IPA: /ɐd͡ʑˈɲɑː.n̪ɐ/) was one of the Āstika and nāstika, ''nāstika'' or "heterodox" schools of Hindu philosophy, ancient Indian philosophy, and the ancient school of radical Indian Philosophical skepticism#Ajñana, skepticism. It was a Śramaṇa, Śramaṇa movement and a major rival of Pre-sectarian Buddhism, early Buddhism, Jainism and the Ājīvika school. They have been recorded in Buddhist and Jain texts. They held that it was impossible to obtain knowledge of metaphysical nature or ascertain the truth value of philosophical propositions; and even if knowledge was possible, it was useless and disadvantageous for final salvation. They specialized in refutation without propagating any positive doctrine of their own. Sanjaya Belatthiputta was one of the major proponents of this school of thought. Sources All of our knowledge of the Ajñāna come from the Buddhists and Jain sources. The Ajñāna view po ...
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Buddhist Logic
Buddhist logico-epistemology is a term used in Western scholarship to describe Buddhism, Buddhist systems of ' (Epistemology, epistemic tool, valid cognition) and ' (reasoning, logic). While the term may refer to various Buddhist systems and views on reasoning and epistemology, it is most often used to refer to the work of the "Epistemological school" (Sanskrit: ), i.e. the school of Dignāga, Dignaga and Dharmakirti which developed from the 5th through 7th centuries and remained the main system of Buddhist reasoning until the Decline of Buddhism in the Indian subcontinent, decline of Buddhism in India. The early Buddhist texts show that the Gautama Buddha, 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 Theravada ''Kathāvatthu'' contains some rules on ...
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Madhyamika
Madhyamaka ("middle way" or "centrism"; ; ; Tibetan: དབུ་མ་པ་ ; ''dbu ma pa''), otherwise known as Śūnyavāda ("the emptiness doctrine") and Niḥsvabhāvavāda ("the no ''svabhāva'' doctrine"), refers to a tradition of Buddhist philosophy and practice founded by the Indian Buddhist monk and philosopher Nāgārjuna ().Wynne, Alexander (2015) ''Early Buddhist Teaching as Proto-śūnyavāda.'' Journal of the Oxford Centre for Buddhist Studies, 6. pp. 213-241. The foundational text of the Mādhyamaka tradition is Nāgārjuna's ''Mūlamadhyamakakārikā'' ("Root Verses on the Middle Way"). More broadly, Madhyamaka also refers to the ultimate nature of phenomena as well as the non-conceptual realization of ultimate reality that is experienced in meditation. Since the 4th century CE onwards, Madhyamaka philosophy had a major influence on the subsequent development of the Mahāyāna Buddhist tradition, especially following the spread of Buddhism throughout Asia. ...
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Madhyamaka
Madhyamaka ("middle way" or "centrism"; ; ; Tibetic languages, Tibetan: དབུ་མ་པ་ ; ''dbu ma pa''), otherwise known as Śūnyavāda ("the Śūnyatā, emptiness doctrine") and Niḥsvabhāvavāda ("the no Svabhava, ''svabhāva'' doctrine"), refers to a tradition of Buddhist philosophy and practice founded by the History of Buddhism in India, Indian Buddhist monk and philosopher Nagarjuna, Nāgārjuna ().Wynne, Alexander (2015) ''Early Buddhist Teaching as Proto-śūnyavāda.'' Journal of the Oxford Centre for Buddhist Studies, 6. pp. 213-241. The foundational text of the Mādhyamaka tradition is Nagarjuna, Nāgārjuna's ''Mūlamadhyamakakārikā'' ("Root Verses on the Middle Way"). More broadly, Madhyamaka also refers to the ultimate nature of phenomena as well as the non-conceptual realization of ultimate reality that is experienced in Buddhist meditation, meditation. Since the 4th century CE onwards, Madhyamaka philosophy had a major influence on the subsequent d ...
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Sanskrit
Sanskrit (; stem form ; nominal singular , ,) is a classical language belonging to the Indo-Aryan languages, Indo-Aryan branch of the Indo-European languages. It arose in northwest South Asia after its predecessor languages had Trans-cultural diffusion, diffused there from the northwest in the late Bronze Age#South Asia, Bronze Age. Sanskrit is the sacred language of Hinduism, the language of classical Hindu philosophy, and of historical texts of Buddhism and Jainism. It was a lingua franca, link language in ancient and medieval South Asia, and upon transmission of Hindu and Buddhist culture to Southeast Asia, East Asia and Central Asia in the early medieval era, it became a language of religion and high culture, and of the political elites in some of these regions. As a result, Sanskrit had a lasting effect on the languages of South Asia, Southeast Asia and East Asia, especially in their formal and learned vocabularies. Sanskrit generally connotes several Indo-Aryan languages# ...
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Walter Liebenthal
Walter Liebenthal (12 June 1886 – 15 November 1982), was a German philosopher and sinologist who specialized in Chinese Buddhism. He translated many philosophical works from Pali, Sanskrit and specially from Chinese into German. Based upon his extensive research in Indian Buddhism and Chinese religion, one of his main conclusions was that early Chinese Buddhism through Ch'an (Zen-) was not a Chinese version of Indian Buddhism, but rather, that it developed from Taoism, a Chinese religion. Indian concepts are present, but at the core it represents a Chinese perspective. Biography Walter Liebenthal was born in 1886 in Königsberg, Prussia (now Kaliningrad, Russia), as son of Robert Liebenthal, attorney-at-law, and Grete Becken. He married Charlotte Oenike in 1914 and they had 4 children: Frank, Ludwig, Johanna and Walter. He had a varied career path. He started to study law, but he soon followed his artistic inclination and became a sculptor in 1907. In 1914, with the outbreak ...
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View (Buddhism)
View or position (Pali ', Sanskrit ') is a central idea in Buddhism. In Buddhist thought, a "view" is not a simple, abstract collection of propositions, but a charged interpretation of experience which intensely shapes and affects thought, sensation, and action. Having the proper mental attitude toward views is therefore considered an integral part of the Buddhist path, as sometimes correct views need to be put into practice and incorrect views abandoned, and sometimes all views are seen as obstacles to enlightenment, which ultimately must be understood in a non-conceptual manner. Overview The term ''dṛṣṭi'' (Pāli: ''diṭṭhi''; Tibetan: ''lta ba''; Chinese: 見, ''jian'') is often translated as "view" or "opinion." In Buddhism, the basic distinction is between "right view" (Sanskrit: ''samyak-dṛṣṭi'') and "wrong views" (S. ''mithyādṛṣṭi''). Furthermore, even right views are seen as something that should not be clung to. In the '' Atthakavagga'', the B ...
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Superposition Principle
The superposition principle, also known as superposition property, states that, for all linear systems, the net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually. So that if input ''A'' produces response ''X'', and input ''B'' produces response ''Y'', then input (''A'' + ''B'') produces response (''X'' + ''Y''). A function F(x) that satisfies the superposition principle is called a linear function. Superposition can be defined by two simpler properties: additivity F(x_1 + x_2) = F(x_1) + F(x_2) and homogeneity F(ax) = a F(x) for scalar . This principle has many applications in physics and engineering because many physical systems can be modeled as linear systems. For example, a beam can be modeled as a linear system where the input stimulus is the load on the beam and the output response is the deflection of the beam. The importance of linear systems is that they are easier to analyze mathemat ...
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Apoha
Apoha (Sanskrit: अपोह) is a Buddhist epistemological theory first proposed by the philosopher Dignāga (c. 480 – c. 540 CE) in his seminal text '' Pramāṇasamuccaya''. The theory went on to be significantly elaborated upon and extended by Dignāga's successor Dharmakīrti (6th or 7th century CE). Buddhist philosophers of the logico-epistemological school, of which Dignāga and Dharmakīrti were the most influential, were nominalists, i.e., they held the position that the world is composed of unique particulars and that the concepts in terms of which we think and communicate have no counterpart in reality but are mere mental impositions. Our categories of thought and language are thus, according to the Buddhists, purely subjective – the result of our past karmic impressions that obscure from us the true nature of reality. Apoha theory was proposed to provide an explanation for how, in the absence of objectively existent universals, we are able to form concepts an ...
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Plot (graphics)
A plot is a graphical technique for representing a data set, usually as a Graph of a function, graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used. Graphs are a visual representation of the relationship between variables, which are very useful for humans who can then quickly derive an understanding which may not have come from lists of values. Given a scale or ruler, graphs can also be used to read off the value of an unknown variable plotted as a function of a known one, but this can also be done with data presented in tabular form. Graphs of functions are used in mathematics, sciences, engineering, technology, finance, and other areas. Overview Plots play an important role in statistics and data analysis. The procedures here can broadly be split into two parts: quantitative and graphical. Quantitative techniques are a set of statistical procedures that yi ...
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Dharmacakra
The dharmachakra (Sanskrit: धर्मचक्र, ) or wheel of dharma is a symbol used in the Dharmic religions. It has a widespread use in Buddhism.John C. Huntington, Dina Bangdel, ''The Circle of Bliss: Buddhist Meditational Art,'' p. 524. In Hinduism, the symbol is particularly used in places that underwent religious transformation. The symbol also finds its usage in modern India. Historically, the dharmachakra was often used as a decoration in East Asian statues and inscriptions, beginning with the earliest period of East Asian culture to the present. It remains a major symbol of the Buddhist religion today. Etymology The Sanskrit noun ''dharma'' () is a derivation from the root ''dhṛ'' 'to hold, maintain, keep',Monier Williams, ''A Sanskrit Dictionary'' (1899): "to hold, bear (also: bring forth), carry, maintain, preserve, keep, possess, have, use, employ, practise, undergo" and means 'what is established or firm'. The word derives from the Vedic Sanskrit ''n''- ...
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