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Catuṣkoṭi
''Catuṣkoṭi'' (Sanskrit; Devanagari: चतुष्कोटि, , Sinhalese:චතුස්කෝටිකය) is a logical argument(s) of a 'suite of four discrete functions' or 'an indivisible quaternity' that has multiple applications and has been important in the Dharmic traditions of Indian logic, the Buddhist logico-epistemological traditions, particularly those of the Madhyamaka school, and in the skeptical Greek philosophy of Pyrrhonism. 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madhyamaka
Mādhyamaka ("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 (c. 150 – c. 250 CE).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, Mādhyamaka also refers to the ultimate nature of phenomena as well as the non-conceptual realization of ultimate reality that is experienced in meditation. Mādhyamaka thought had a major influence on the subsequent development of the Mahāyāna Buddhist tradition. It is the dominant interpretation of Buddhist philosophy in Tibetan Buddhism and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madhyamika
Mādhyamaka ("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 (c. 150 – c. 250 CE).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, Mādhyamaka also refers to the ultimate nature of phenomena as well as the non-conceptual realization of ultimate reality that is experienced in meditation. Mādhyamaka thought had a major influence on the subsequent development of the Mahāyāna Buddhist tradition. It is the dominant interpretation of Buddhist philosophy in Tibetan Buddhism and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indian Logic
The development of Indian logic dates back to the ''anviksiki'' of Medhatithi Gautama (c. 6th century BCE); the Sanskrit grammar rules of Pāṇini (c. 5th century BCE); the Vaisheshika school's analysis of atomism (c. 6th century BCE to 2nd century BCE); the analysis of inference by Gotama (c. 6th century BC to 2nd century CE), founder of the Nyaya school of Hindu philosophy; and the tetralemma of Nagarjuna (c. 2nd century CE). Indian logic stands as one of the three original traditions of logic, alongside the Greek and the Chinese logic. The Indian tradition continued to develop through early to modern times, in the form of the Navya-Nyāya school of logic. Origins The Nasadiya Sukta of the ''Rigveda'' ( RV 10.129) contains ontological speculation in terms of various logical divisions that were later recast formally as the four circles of '' catuskoti'': "A", "not A", "A and 'not A'", and "not A and not not A". Medhatithi Gautama (c. 6th century BCE) founded the ''anviksiki'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Śūnyatā
''Śūnyatā'' ( sa, wikt:शून्यता#Sanskrit, शून्यता, śūnyatā; pi, suññatā) pronounced in English as (shoon-ya-ta), translated most often as ''emptiness'', ''vacuity'', and sometimes ''voidness'', is a Buddhism, Buddhist concept which has multiple meanings depending on its doctrinal context. It is either an ontological feature of reality, a meditative state, or a phenomenological analysis of experience. In Theravada, Theravāda Buddhism, ''Suññatā'' often refers to the Anatta, non-self (Pāli: ''anattā'', Sanskrit: ''anātman'') nature of the Skandha, five aggregates of experience and the Āyatana, six sense spheres. ''Suññatā'' is also often used to refer to a Buddhist meditation, meditative state or experience. In Mahayana, Mahāyāna Buddhism, ''śūnyatā'' refers to the tenet that "all things are empty of intrinsic existence and nature (''svabhava'')", but may also refer to the Buddha-nature teachings and primordial or empty awar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nagarjuna
Nāgārjuna . 150 – c. 250 CE (disputed)was an Indian Mahāyāna Buddhist thinker, scholar-saint and philosopher. He is widely considered one of the most important Buddhist philosophers.Garfield, Jay L. (1995), ''The Fundamental Wisdom of the Middle Way'', Oxford: Oxford University Press. Jan Westerhoff considers him to be "one of the greatest thinkers in the history of Asian philosophy." Nāgārjuna is widely considered to be the founder of the Madhyamaka (centrism, middle-way) school of Buddhist philosophy and a defender of the Mahāyāna movement. His ''Mūlamadhyamakakārikā'' (Root Verses on Madhyamaka, or MMK) is the most important text on the madhyamaka philosophy of emptiness. The MMK inspired a large number of commentaries in Sanskrit, Chinese, Tibetan, Korean and Japanese and continues to be studied today. History Background India in the first and second centuries CE was politically divided into various states, including the Kushan Empire and the Satavaha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Coordinates
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the ''x''-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and ''vice versa''; this is the basis of analytic geometry. Common coordinate systems Number line The simplest example of a coordinate system is the identification of points on a line with real numbers using the ''number line''. In this system, an arbitrary point ''O'' (the ''origin'') is chosen on a given line. The coordinate of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plot (graphics)
A plot is a graphical technique for representing a data set, usually as a 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 the set of statistical procedures that yield numeric or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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(a x)=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 mathematically; the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. Positions Views are produced by and in turn produce mental conditioning. They are symptoms of conditioning, rather than neutral alternatives individuals can dispassionately choose. The Buddha, according to early texts, having attained the state of unconditioned mind, is said to have "passed beyond the bondage, tie, greed, obsession, acceptance, attachment, and lust of view." Those who wish to experience nirvana must free themselves from everything binding them t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 outbrea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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