|
Reductio Ad Absurdum
In logic, (Latin for "reduction to absurdity"), also known as (Latin for "argument to absurdity") or ''apagogical argument'', is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction. This argument form traces back to Ancient Greek philosophy and has been used throughout history in both formal mathematical and philosophical reasoning, as well as in debate. In mathematics, the technique is called ''proof by contradiction''. In formal logic, this technique is captured by an axiom for "Reductio ad Absurdum", normally given the abbreviation RAA, which is expressible in propositional logic. This axiom is the introduction rule for negation (see ''negation introduction''). Examples The "absurd" conclusion of a ''reductio ad absurdum'' argument can take a range of forms, as these examples show: * The Earth cannot be flat; otherwise, since the Earth is assumed to be finite in extent, we would find peo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Pettie - Reductio Ad Absurdum
John is a common English name and surname: * John (given name) * John (surname) John may also refer to: New Testament Works * Gospel of John, a title often shortened to John * First Epistle of John, often shortened to 1 John * Second Epistle of John, often shortened to 2 John * Third Epistle of John, often shortened to 3 John People * John the Baptist (died ), regarded as a prophet and the forerunner of Jesus Christ * John the Apostle (died ), one of the twelve apostles of Jesus Christ * John the Evangelist, assigned author of the Fourth Gospel, once identified with the Apostle * John of Patmos, also known as John the Divine or John the Revelator, the author of the Book of Revelation, once identified with the Apostle * John the Presbyter, a figure either identified with or distinguished from the Apostle, the Evangelist and John of Patmos Other people with the given name Religious figures * John, father of Andrew the Apostle and Saint Peter * Pope John (disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Socrates
Socrates (; ; – 399 BC) was a Ancient Greek philosophy, Greek philosopher from Classical Athens, Athens who is credited as the founder of Western philosophy and as among the first moral philosophers of the Ethics, ethical tradition of thought. An enigmatic figure, Socrates authored no texts and is known mainly through the posthumous accounts of classical writers, particularly his students Plato and Xenophon. These accounts are written as dialogues, in which Socrates and his interlocutors examine a subject in the style of question and answer; they gave rise to the Socratic dialogue literary genre. Contradictory accounts of Socrates make a reconstruction of his philosophy nearly impossible, a situation known as the Socratic problem. Socrates was a polarizing figure in Athenian society. In 399 BC, he was accused of Asebeia, impiety and corrupting the youth. After Trial of Socrates, a trial that lasted a day, he was sentenced to death. He spent his last day in prison ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vaibhāṣika
Sarvāstivāda-Vaibhāṣika () or simply Vaibhāṣika () is an ancient Buddhist tradition of Abhidharma (scholastic Buddhist philosophy), which was very influential in north India, especially Kashmir.Westerhoff 2018, pp. 60–61. In various texts, they referred to their tradition as ''Yuktavāda'' (the doctrine of logic), and another name for them was ''Hetuvāda''.Dhammajoti (2009) pp. 56, 164. The Vaibhāṣika school was an influential subgroup of the larger Sarvāstivāda school. They were distinguished from other Sarvāstivāda sub-schools like the Sautrāntika and the "Western Masters" of Gandhara and Bactria by their orthodox adherence to the doctrines found in the '' Mahāvibhāṣa,'' from which their name is derived (''Vaibhāṣa'' is a ''vṛddhi'' derivative of ''vibhāṣa,'' meaning "related to the ''vibhāṣa''). Vaibhāṣika thought significantly influenced the Buddhist philosophy of all major Mahayana Buddhist schools of thought and also influenced the later ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abhidharma
The Abhidharma are a collection of Buddhist texts dating from the 3rd century BCE onwards, which contain detailed scholastic presentations of doctrinal material appearing in the canonical Buddhist scriptures and commentaries. It also refers to the scholastic method itself, as well as the field of knowledge that this method is said to study. Bhikkhu Bodhi calls it "an abstract and highly technical systemization of the uddhistdoctrine," which is "simultaneously a philosophy, a psychology and an ethics, all integrated into the framework of a program for liberation." According to Peter Harvey, the Abhidharma method seeks "to avoid the inexactitudes of colloquial conventional language, as is sometimes found in the Suttas, and state everything in psycho-philosophically exact language." In this sense, it is an attempt to best express the Buddhist view of " ultimate reality" (''paramārtha-satya''). There are different types of Abhidharma literature. The early canonical Abhidharma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nāgārjuna
Nāgārjuna (Sanskrit: नागार्जुन, ''Nāgārjuna''; ) was an Indian monk and Mahāyāna Buddhist philosopher of the Madhyamaka (Centrism, Middle Way) school. 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. Nāgārjuna is widely considered to be the founder of the Madhyamaka school of Buddhist philosophy and a defender of the Mahāyāna movement. His ''Mūlamadhyamakakārikā'' (''Root Verses on Madhyamaka'', 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 Satavahana Kingdom. At this point in Buddhist history, the Buddhist comm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mūlamadhyamakakārikā
The ''Mūlamadhyamakakārikā'' (), abbreviated as ''MMK'', is the foundational text of the Madhyamaka school of Mahāyāna Buddhist philosophy. It was composed by the Indian philosopher Nāgārjuna (around roughly 150 CE).Siderits and Katsura (2013), p. 1. The MMK makes use of reductio arguments to show how ''all'' phenomena ('' dharmas'') are empty of '' svabhava'' (which has been variously translated as essence, own-being, or inherent existence). The MMK is widely regarded as one of the most influential and widely studied texts in the history of Buddhist philosophy. The MMK had a major impact on the subsequent development of Buddhist thought, especially in Tibetan Buddhism and East Asian Buddhism. Background The MMK is the work of Nāgārjuna, an Indian Buddhist monk and philosopher writing in Sanskrit. Very little is known about this figure, including exactly where he lived (somewhere in the Indian subcontinent), exactly what time (some time around the 2nd or 3rd century ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Essentialism
Essentialism is the view that objects have a set of attributes that are necessary to their Identity (philosophy), identity. In early Western thought, Platonic idealism held that all things have such an "essence"—an Theory of forms, "idea" or "form". In ''Categories (Aristotle), Categories'', Aristotle similarly proposed that all objects have a Substance theory, substance that, as George Lakoff put it, "make the thing what it is, and without which it would be not ''that'' kind of thing". The contrary view—non-essentialism—denies the need to posit such an "essence". Essentialism has been controversial from its beginning. In the ''Parmenides (dialogue), Parmenides'' dialogue, Plato depicts Socrates questioning the notion, suggesting that if we accept the idea that every beautiful thing or just action partakes of an essence to be beautiful or just, we must also accept the "existence of separate essences for hair, mud, and dirt". Older social theories were often conceptually esse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Buddhist Philosophy
Buddhist philosophy is the ancient Indian Indian philosophy, philosophical system that developed within the religio-philosophical tradition of Buddhism. It comprises all the Philosophy, philosophical investigations and Buddhist logico-epistemology, systems of rational inquiry that developed among various schools of Buddhism in ancient India following the ''Parinirvana, parinirvāṇa'' of Gautama Buddha (c. 5th century BCE), as well as the further developments which followed the Silk Road transmission of Buddhism, spread of Buddhism throughout Asia. Buddhism combines both philosophical reasoning and the Buddhist meditation, practice of meditation.Siderits, Mark. Buddhism as philosophy, 2007, p. 6 The Buddhist religion presents a multitude of Buddhist paths to liberation; with the expansion of early Buddhism from ancient India to Sri Lanka and subsequently to East Asia and Southeast Asia, Buddhist thinkers have covered topics as varied as cosmology, ethics, epistemology, logic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sorites Paradox
The sorites paradox (), sometimes known as the paradox of the heap, is a paradox that results from vague predicates. A typical formulation involves a heap of sand, from which grains are removed individually. With the assumption that removing a single grain does not cause a heap not to be considered a heap anymore, the paradox is to consider what happens when the process is repeated enough times that only one grain remains and if it is still a heap. If not, then the question asks when it changed from a heap to a non-heap. Original formulation The word ''sorites'' () derives from the Greek word for ''heap'' (). The paradox is so named because of its original characterization, attributed to Eubulides of Miletus. The paradox is as follows: consider a heap of sand from which grains are removed individually. One might construct the argument from the following premises: :'' grains of sand is a heap of sand'' (Premise 1) :''A heap of sand minus one grain is still a heap.'' (Premise 2) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aristotle
Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, and the arts. As the founder of the Peripatetic school of philosophy in the Lyceum (classical), Lyceum in Athens, he began the wider Aristotelianism, Aristotelian tradition that followed, which set the groundwork for the development of modern science. Little is known about Aristotle's life. He was born in the city of Stagira (ancient city), Stagira in northern Greece during the Classical Greece, Classical period. His father, Nicomachus (father of Aristotle), Nicomachus, died when Aristotle was a child, and he was brought up by a guardian. At around eighteen years old, he joined Plato's Platonic Academy, Academy in Athens and remained there until the age of thirty seven (). Shortly after Plato died, Aristotle left Athens and, at the request ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
