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Infinity (philosophy)
In philosophy and theology, infinity is explored in articles under headings such as the Absolute, God, and Zeno's paradoxes. In Greek philosophy, for example in Anaximander, 'the Boundless' is the origin of all that is. He took the beginning or first principle to be an endless, unlimited primordial mass (ἄπειρον, ''apeiron''). The Jain metaphysics and mathematics were the first to define and delineate different "types" of infinities. The work of the mathematician Georg Cantor first placed infinity into a coherent mathematical framework. Keenly aware of his departure from traditional wisdom, Cantor also presented a comprehensive historical and philosophical discussion of infinity. In Christian theology, for example in the work of Duns Scotus, the infinite nature of God invokes a sense of being without constraint, rather than a sense of being unlimited in quantity. Early thinking Egyptian Greek Anaximander An early engagement with the idea of infinity was made by A ...
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Absolute (philosophy)
Georg Wilhelm Friedrich Hegel (; ; 27 August 1770 – 14 November 1831) was a German philosopher. He is one of the most important figures in German idealism and one of the founding figures of modern Western philosophy. His influence extends across the entire range of contemporary philosophical topics, from metaphysical issues in epistemology and ontology, to political philosophy, the philosophy of history, philosophy of art, philosophy of religion, and the history of philosophy. Born in 1770 in Stuttgart during the transitional period between the Enlightenment and the German Romanticism, Romantic movement in the Germanic regions of Europe, Hegel lived through and was influenced by the French Revolution and the Napoleonic wars. His fame rests chiefly upon ''The Phenomenology of Spirit'', ''The Science of Logic'', and his lectures at the University of Berlin on topics from his ''Encyclopedia of the Philosophical Sciences''. Throughout his work, Hegel strove to address and ...
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Potentiality
In philosophy, potentiality and actuality are a pair of closely connected principles which Aristotle used to analyze motion, causality, ethics, and physiology in his ''Physics'', ''Metaphysics'', '' Nicomachean Ethics'', and ''De Anima''. The concept of potentiality, in this context, generally refers to any "possibility" that a thing can be said to have. Aristotle did not consider all possibilities the same, and emphasized the importance of those that become real of their own accord when conditions are right and nothing stops them. Actuality, in contrast to potentiality, is the motion, change or activity that represents an exercise or fulfillment of a possibility, when a possibility becomes real in the fullest sense. These concepts, in modified forms, remained very important into the Middle Ages, influencing the development of medieval theology in several ways. In modern times the dichotomy has gradually lost importance, as understandings of nature and deity have changed. H ...
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Dimension
In physics and mathematics, the dimension of a Space (mathematics), mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any Point (geometry), point within it. Thus, a Line (geometry), line has a dimension of one (1D) because only one coordinate is needed to specify a point on itfor example, the point at 5 on a number line. A Surface (mathematics), surface, such as the Boundary (mathematics), boundary of a Cylinder (geometry), cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on itfor example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the Euclidean plane, plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces. In classical mechanics, space and time are different categ ...
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Number Theory 1
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called ''numerals''; for example, "5" is a numeral that represents the number five. As only a relatively small number of symbols can be memorized, basic numerals are commonly organized in a numeral system, which is an organized way to represent any number. The most common numeral system is the Hindu–Arabic numeral system, which allows for the representation of any number using a combination of ten fundamental numeric symbols, called digits. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for codes (as with ISBNs). In common usage, a ''numeral'' is not clearly distinguished from the ''number'' that ...
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Jain Agamas
Jain literature (Sanskrit: जैन साहित्य) refers to the literature of the Jain religion. It is a vast and ancient literary tradition, which was initially transmitted orally. The oldest surviving material is contained in the canonical ''Jain Agamas,'' which are written in Ardhamagadhi, a Prakrit ( Middle-Indo Aryan) language. Various commentaries were written on these canonical texts by later Jain monks. Later works were also written in other languages, like Sanskrit and Maharashtri Prakrit. Jain literature is primarily divided between the canons of the ''Digambara'' and ''Śvētāmbara'' orders. These two main sects of Jainism do not always agree on which texts should be considered authoritative. More recent Jain literature has also been written in other languages, like Marathi, Tamil, Rajasthani, Dhundari, Marwari, Hindi, Gujarati, Kannada, Malayalam and more recently in English. Beliefs The Jain tradition believes that their religion is eternal, and the ...
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Augustine
Augustine of Hippo ( , ; la, Aurelius Augustinus Hipponensis; 13 November 354 – 28 August 430), also known as Saint Augustine, was a theologian and philosopher of Berbers, Berber origin and the bishop of Hippo Regius in Numidia (Roman province), Numidia, Roman North Africa. His writings influenced the development of Western philosophy and Western Christianity, and he is viewed as one of the most important Latin Church Fathers, Church Fathers of the Latin Church in the Patristic Period. His many important works include ''The City of God'', ''De Doctrina Christiana, On Christian Doctrine'', and ''Confessions (Augustine), Confessions''. According to his contemporary, Jerome, Augustine "established anew the ancient Faith". In his youth he was drawn to the eclectic Manichaeism, Manichaean faith, and later to the Hellenistic philosophy of Neoplatonism. After his conversion to Christianity and baptism in 386, Augustine developed his own approach to philosophy and theology, accom ...
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Plotinus
Plotinus (; grc-gre, Πλωτῖνος, ''Plōtînos'';  – 270 CE) was a philosopher in the Hellenistic philosophy, Hellenistic tradition, born and raised in Roman Egypt. Plotinus is regarded by modern scholarship as the founder of Neoplatonism. His teacher was the self-taught philosopher Ammonius Saccas, who belonged to the Platonism, Platonic tradition. Historians of the 19th century invented the term "neoplatonism" and applied it to refer to Plotinus and his philosophy, which was vastly influential during Late Antiquity, the Middle Ages, and the Renaissance. Much of the biographical information about Plotinus comes from Porphyry (philosopher), Porphyry's preface to his edition of Plotinus' most notable literary work, ''The Enneads''. In his Metaphysics, metaphysical writings, Plotinus described three fundamental principles: Henology, the One, Nous, the Intellect, and the wikt:psyche#English, Soul. His works have inspired centuries of Paganism, Pagan, Jewish philosophy, ...
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Simplicius Of Cilicia
Simplicius of Cilicia (; el, Σιμπλίκιος ὁ Κίλιξ; c. 490 – c. 560 AD) was a disciple of Ammonius Hermiae and Damascius, and was one of the last of the Neoplatonists. He was among the pagan philosophers persecuted by Justinian in the early 6th century, and was forced for a time to seek refuge in the Persian court, before being allowed back into the empire. He wrote extensively on the works of Aristotle. Although his writings are all commentaries on Aristotle and other authors, rather than original compositions, his intelligent and prodigious learning makes him the last great philosopher of pagan antiquity. His works have preserved much information about earlier philosophers which would have otherwise been lost. Life Simplicius was a disciple of Ammonius Hermiae, and Damascius, and was consequently one of the last members of the Neoplatonist school. The school had its headquarters in Athens. It became the centre of the last efforts to maintain Hellenistic religi ...
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Prime Mover Theory
The unmoved mover ( grc, ὃ οὐ κινούμενον κινεῖ, ho ou kinoúmenon kineî, that which moves without being moved) or prime mover ( la, primum movens) is a concept advanced by Aristotle as a primary cause (or first uncaused cause) or " mover" of all the motion in the universe. As is implicit in the name, the moves other things, but is not itself moved by any prior action. In Book 12 ( grc-gre, Λ) of his ''Metaphysics'', Aristotle describes the unmoved mover as being perfectly beautiful, indivisible, and contemplating only the perfect contemplation: self-contemplation. He equates this concept also with the active intellect. This Aristotelian concept had its roots in cosmological speculations of the earliest Greek pre-Socratic philosophers and became highly influential and widely drawn upon in medieval philosophy and theology. St. Thomas Aquinas, for example, elaborated on the unmoved mover in the . First philosophy Aristotle argues, in Book 8 of the ''Physics ...
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Thomas Aquinas
Thomas Aquinas, OP (; it, Tommaso d'Aquino, lit=Thomas of Aquino; 1225 – 7 March 1274) was an Italian Dominican friar and priest who was an influential philosopher, theologian and jurist in the tradition of scholasticism; he is known within the tradition as the , the , and the . The name ''Aquinas'' identifies his ancestral origins in the county of Aquino in present-day Lazio, Italy. Among other things, he was a prominent proponent of natural theology and the father of a school of thought (encompassing both theology and philosophy) known as Thomism. He argued that God is the source of both the light of natural reason and the light of faith. He has been described as "the most influential thinker of the medieval period" and "the greatest of the medieval philosopher-theologians". His influence on Western thought is considerable, and much of modern philosophy is derived from his ideas, particularly in the areas of ethics, natural law, metaphysics, and political theory. ...
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William Of Ockham
William of Ockham, OFM (; also Occam, from la, Gulielmus Occamus; 1287 – 10 April 1347) was an English Franciscan friar, scholastic philosopher, apologist, and Catholic theologian, who is believed to have been born in Ockham, a small village in Surrey. He is considered to be one of the major figures of medieval thought and was at the centre of the major intellectual and political controversies of the 14th century. He is commonly known for Occam's razor, the methodological principle that bears his name, and also produced significant works on logic, physics and theology. William is remembered in the Church of England with a commemoration on 10 April. Life William of Ockham was born in Ockham, Surrey in 1287. He received his elementary education in the London House of the Greyfriars. It is believed that he then studied theology at the University of OxfordSpade, Paul Vincent (ed.). ''The Cambridge Companion to Ockham''. Cambridge University Press, 1999, p. 20.He has long be ...
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