|
Tetralemma
The tetralemma is a figure that features prominently in the logic of India. Definition It states that with reference to any a logical proposition X, there are four possibilities: : X (affirmation) : \neg X (negation) : X \land\neg X (both) : \neg (X \lor \neg X) (neither) Catuskoti The history of fourfold negation, the Catuskoti (Sanskrit), is evident in the logico-epistemological tradition of India, given the categorical nomenclature Indian logic in Western discourse. Subsumed within the auspice of Indian logic, 'Buddhist logic' has been particularly focused in its employment of the fourfold negation, as evidenced by the traditions of Nagarjuna and the Madhyamaka, particularly the school of Madhyamaka given the retroactive nomenclature of Prasangika by the Tibetan Buddhist logico-epistemological tradition. Though tetralemma was also used as a form inquiry rather than logic in the nasadiya sukta of rigveda (creation hymm) though seems to be rarely used as a tool of logic befo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tetralemma
The tetralemma is a figure that features prominently in the logic of India. Definition It states that with reference to any a logical proposition X, there are four possibilities: : X (affirmation) : \neg X (negation) : X \land\neg X (both) : \neg (X \lor \neg X) (neither) Catuskoti The history of fourfold negation, the Catuskoti (Sanskrit), is evident in the logico-epistemological tradition of India, given the categorical nomenclature Indian logic in Western discourse. Subsumed within the auspice of Indian logic, 'Buddhist logic' has been particularly focused in its employment of the fourfold negation, as evidenced by the traditions of Nagarjuna and the Madhyamaka, particularly the school of Madhyamaka given the retroactive nomenclature of Prasangika by the Tibetan Buddhist logico-epistemological tradition. Though tetralemma was also used as a form inquiry rather than logic in the nasadiya sukta of rigveda (creation hymm) though seems to be rarely used as a tool of logic befo ... [...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] |
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] |
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] |
Pyrrhonism
Pyrrhonism is a school of philosophical skepticism founded by Pyrrho in the fourth century BCE. It is best known through the surviving works of Sextus Empiricus, writing in the late second century or early third century CE. History Pyrrho of Elis (c. 360 – c. 270 BCE) and his teacher Anaxarchus, both Democritus, Democritean philosophers, Indian campaign of Alexander the Great, traveled to India with Alexander the Great's army where Pyrrho was said to have studied with the magi and the gymnosophists, and where he was influenced by Buddhism, Buddhist teachings, most particularly the three marks of existence. After returning to Greece, Pyrrho started a new line of philosophy now known as "Pyrrhonism." His teachings were recorded by his student Timon of Phlius, most of whose works have been lost. Pyrrhonism as a school was either revitalized or re-founded by Aenesidemus in the first century BCE. This phase of Pyrrhonism, starting with Aenesidemus and going through the last known ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paraconsistent Logic
A paraconsistent logic is an attempt at a logical system to deal with contradictions in a discriminating way. Alternatively, paraconsistent logic is the subfield of logic that is concerned with studying and developing "inconsistency-tolerant" systems of logic which reject the principle of explosion. Inconsistency-tolerant logics have been discussed since at least 1910 (and arguably much earlier, for example in the writings of Aristotle); however, the term ''paraconsistent'' ("beside the consistent") was first coined in 1976, by the Peruvian philosopher Francisco Miró Quesada Cantuarias. The study of paraconsistent logic has been dubbed paraconsistency, which encompasses the school of dialetheism. Definition In classical logic (as well as intuitionistic logic and most other logics), contradictions entail everything. This feature, known as the principle of explosion or ''ex contradictione sequitur quodlibet'' (Latin, "from a contradiction, anything follows") can be expressed formal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of Logic
The history of logic deals with the study of the development of the science of valid inference (logic). Formal logics developed in ancient times in Indian logic, India, Logic in China, China, and Greek philosophy, Greece. Greek methods, particularly Aristotelian logic (or term logic) as found in the ''Organon'', found wide application and acceptance in Western science and mathematics for millennia.Boehner p. xiv The Stoicism, Stoics, especially Chrysippus, began the development of predicate logic. Christian philosophy, Christian and Logic in Islamic philosophy, Islamic philosophers such as Boethius (died 524), Ibn Sina (Avicenna, died 1037) and William of Ockham (died 1347) further developed Plato's logic in the Medieval philosophy#High Middle Ages, Middle Ages, reaching a high point in the mid-fourteenth century, with Jean Buridan. The period between the fourteenth century and the beginning of the nineteenth century saw largely decline and neglect, and at least one historian of l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Similarities Between Pyrrhonism And Buddhism
According to Edward Conze, Greek Skepticism (particularly that of Pyrrho) can be compared to Buddhist philosophy, especially the Indian Madhyamika school.Conze, EdwardBuddhist Philosophy and Its European Parallels Philosophy East and West 13, p.9-23, no.1, January 1963. University press of Hawaii. The Pyrrhonian Skeptics' goal of ataraxia (the state of being untroubled) is similar to the Buddhist soteriological goal nirvana. These similarities can be traced back to the origins of Pyrrhonism. Pyrrho, the founder of Pyrrhonism, spent about 18 months in Taxila as part of Alexander the Great's court during Alexander's conquest of the east. During his time in India he studied Indian philosophy and presumably encountered Early Buddhism. Centuries later, Pyrrhonism may have influenced the Buddhist philosopher Nagarjuna's Madhyamaka philosophy. Mutual influences Buddhist influences on Pyrrho Diogenes Laërtius' biography of Pyrrho reports that Pyrrho traveled with Alexander the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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] |
Two-truths Doctrine
The Buddhist doctrine of the two truths (Sanskrit: ''dvasatya,'' ) differentiates between two levels of ''satya'' (Sanskrit; Pali: ''sacca''; word meaning "truth" or "reality") in the teaching of the Śākyamuni Buddha: the "conventional" or "provisional" ('' saṁvṛti'') truth, and the "ultimate" (''paramārtha'') truth. The exact meaning varies between the various Buddhist schools and traditions. The best known interpretation is from the Madhyamaka school of Mahāyāna Buddhism, whose founder was the Indian Buddhist monk and philosopher Nāgārjuna. For Nāgārjuna, the two truths are ''epistemological truths''. The phenomenal world is accorded a provisional existence. The character of the phenomenal world is declared to be neither real nor unreal, but logically indeterminable. Ultimately, all phenomena are empty (''śūnyatā'') of an inherent self or essence due to the non-existence of the self (''anattā''), but exist depending on other phenomena (''pratītyasamutpāda ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sextus Empiricus
Sextus Empiricus ( grc-gre, Σέξτος Ἐμπειρικός, ; ) was a Ancient Greece, Greek Pyrrhonism, Pyrrhonist philosopher and Empiric school physician. His philosophical works are the most complete surviving account of ancient Greek and Roman Pyrrhonism, and because of the arguments they contain against the other Hellenistic philosophy, Hellenistic philosophies, they are also a major source of information about those philosophies. In his medical work, as reflected by his name, tradition maintains that he belonged to the Empiric school in which Pyrrhonism was popular. However, at least twice in his writings, Sextus seems to place himself closer to the Methodic school. Little is known about Sextus Empiricus. He likely lived in Alexandria, Rome, or Athens. The ''Suda,'' a 10th-century Byzantine encyclopedia, states that he was the same person as Sextus of Chaeronea, as do other pre-modern sources, but this identification is commonly doubted. Writings Diogenes Laërtius ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
