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Neo-Pythagorean
Neopythagoreanism (or neo-Pythagoreanism) was a school of Hellenistic philosophy which revived Pythagorean doctrines. Neopythagoreanism was influenced by middle Platonism and in turn influenced Neoplatonism. It originated in the 1st century BC and flourished during the 1st and 2nd centuries AD. The ''Encyclopædia Britannica'' Eleventh Edition describes Neopythagoreanism as "a link in the chain between the old and the new" within Hellenistic philosophy. Central to Neopythagorean thought was the concept of a soul and its inherent desire for a ''unio mystica'' with the divine. The word ''Neopythagoreanism'' is a modern (19th century) term, coined as a parallel of "Neoplatonism". History In the 1st century BC Cicero's friend Nigidius Figulus made an attempt to revive Pythagorean doctrines, but the most important members of the school were Apollonius of Tyana and Moderatus of Gades in the 1st century AD. Other important Neopythagoreans include the mathematician Nicomachus of Gerasa ...
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Apollonius Of Tyana
Apollonius of Tyana ( grc, Ἀπολλώνιος ὁ Τυανεύς; c. 3 BC – c. 97 AD) was a Greek Neopythagorean philosopher from the town of Tyana in the Roman province of Cappadocia in Anatolia. He is the subject of ''Life of Apollonius of Tyana'', written by Philostratus over a century after his death. Life dates Apollonius was born into a respected and wealthy Greek household. His primary biographer, Philostratus the Elder (circa 170c. 247), places him circa 3 BCc. 97 AD, however, the Roman historian Cassius Dio (c. 155 – c. 235 AD) writes that Apollonius was in his 40s or 50s in the 90s AD, from which the scholar, Maria Dzielska gives a birth year of about 40 AD. Sources The earliest and by far the most detailed source is the ''Life of Apollonius of Tyana'', a lengthy, novelistic biography written by the sophist Philostratus at the request of empress Julia Domna. She died in 217 AD and he completed it after her death, probabl ...
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Moderatus Of Gades
Moderatus of Gades ( el, Μοδερᾶτος) was a Greek philosopher of the Neopythagorean school, who lived in the 1st century AD (contemporary with Apollonius of Tyana). He wrote a great work on the doctrines of the Pythagoreans, and tried to show that the successors of Pythagoras had made no additions to the views of their founder, but had merely borrowed and altered the phraseology. He has been given an exaggerated importance by some commentators, who have regarded him as the forerunner of the Alexandrian School of philosophy. Zeller has shown that the authority on which this view is based is unsound. Moderatus is thus left as an unimportant though interesting representative of a type of thought which had almost disappeared since the 5th century BC. Stobaeus, in his ''Eclogae'', preserves a fragment of his writings; further extracts survive in the form of quotations in Porphyry's ''Life of Pythagoras'' and Simplicius's commentary on Aristotle's Physics Physics i ...
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Iamblichus
Iamblichus (; grc-gre, Ἰάμβλιχος ; Aramaic: 𐡉𐡌𐡋𐡊𐡅 ''Yamlīḵū''; ) was a Syrian neoplatonic philosopher of Arabic origin. He determined a direction later taken by neoplatonism. Iamblichus was also the biographer of the Greek mystic, philosopher, and mathematician Pythagoras. In addition to his philosophical contributions, his ''Protrepticus'' is important for the study of the sophists because it preserved about ten pages of an otherwise-unknown sophist known as the Anonymus Iamblichi. Life According to the ''Suda'' and Iamblichus' biographer, Eunapius, he was born in Chalcis in Coele Syria. The son of a wealthy, well-known family, Iamblichus was descended from the Emesene dynasty. He initially studied under Anatolius of Laodicea and later studied under Porphyry, a pupil of Plotinus (the founder of neoplatonism). Iamblichus disagreed with Porphyry about theurgy, reportedly responding to Porphyry's criticism of the practice in ''De Mysteriis Aegypt ...
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Numenius Of Apamea
Numenius of Apamea ( grc-gre, Νουμήνιος ὁ ἐξ Ἀπαμείας, ''Noumēnios ho ex Apameias''; la, Numenius Apamensis) was a Greek philosopher, who lived in Apamea in Syria and Rome, and flourished during the latter half of the 2nd century AD. He was a Neopythagorean and forerunner of the Neoplatonists. Philosophy Statements and fragments of his apparently very numerous works have been preserved by Origen, Theodoret, and especially by Eusebius, and from them we may learn the nature of his Platonist-Pythagorean philosophy, and its approximation to the doctrines of Plato. Numenius was a Neopythagorean, but his object was to trace the doctrines of Plato up to Pythagoras, and at the same time to show that they were not at variance with the dogmas and mysteries of the Brahmins, Jews, Magi and Egyptians. His intention was to restore the philosophy of Plato, the genuine Pythagorean and mediator between Socrates and Pythagoras in its original purity, cleared from the Ar ...
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Nicomachus Of Gerasa
Nicomachus of Gerasa ( grc-gre, Νικόμαχος; c. 60 – c. 120 AD) was an important ancient mathematician and music theorist, best known for his works ''Introduction to Arithmetic'' and ''Manual of Harmonics'' in Greek. He was born in Gerasa, in the Roman province of Syria (now Jerash, Jordan). He was a Neopythagorean, who wrote about the mystical properties of numbers.Eric Temple Bell (1940), ''The development of mathematics'', page 83.Frank J. Swetz (2013), ''The European Mathematical Awakening'', page 17, Courier Life Little is known about the life of Nicomachus except that he was a Pythagorean who came from Gerasa.} Historians consider him a Neopythagorean based on his tendency to view numbers as having mystical properties. The age in which he lived (c. 100 AD) is only known because he mentions Thrasyllus in his ''Manual of Harmonics'', and because his ''Introduction to Arithmetic'' was apparently translated into Latin in the mid 2nd century by Apuleius.Henrietta ...
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Nigidius Figulus
Publius Nigidius Figulus (c. 98 – 45 BC) was a scholar of the Late Roman Republic and one of the praetors for 58 BC. He was a friend of Cicero, to whom he gave his support at the time of the Catilinarian conspiracy. Nigidius sided with the Optimates in the civil war between Julius Caesar and Pompeius Magnus. Among his contemporaries, Nigidius's reputation for learning was second only to that of Varro. Even in his own time, his works were regarded as often abstruse, perhaps because of their esoteric Pythagoreanism, into which Nigidius incorporated Stoic elements. Jerome calls him ''Pythagoricus et magus'', a "Pythagorean and mage," and in the medieval and Renaissance tradition he is portrayed as a magician, diviner, or occultist. His vast works survive only in fragments preserved by other authors. Political career By 63 BC, Nigidius had been admitted to the Senate. He may have been aedile in 60 BC, when Cicero mentions that Nigidius was in a position to cite (''compellare'') a ju ...
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Ascetic
Asceticism (; from the el, ἄσκησις, áskesis, exercise', 'training) is a lifestyle characterized by abstinence from sensual pleasures, often for the purpose of pursuing spiritual goals. Ascetics may withdraw from the world for their practices or continue to be part of their society, but typically adopt a frugal lifestyle, characterised by the renunciation of material possessions and physical pleasures, and also spend time fasting while concentrating on the practice of religion or reflection upon spiritual matters. Various individuals have also attempted an ascetic lifestyle to free themselves from addictions, some of them particular to modern life, such as money, alcohol, tobacco, drugs, entertainment, sex, food, etc. Asceticism has been historically observed in many religious traditions, including Buddhism, Jainism, Hinduism, Islam, Christianity, Judaism, Stoicism and Pythagoreanism and contemporary practices continue amongst some religious followers. The practition ...
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Action (philosophy)
An action is an event that an agent performs for a purpose, that is guided by the person's intention. The first question in the philosophy of action is to determine how actions differ from other forms of behavior, like involuntary reflexes. According to Ludwig Wittgenstein, it involves discovering " at is left over if I subtract the fact that my arm goes up from the fact that I raise my arm". There is broad agreement that the answer to this question has to do with the agent's intentions. So driving a car is an action since the agent intends to do so, but sneezing is a mere behavior since it happens independent of the agent's intention. The dominant theory of the relation between the intention and the behavior is ''causalism'': driving the car is an action because it is ''caused'' by the agent's intention to do so. On this view, actions are distinguished from other events by their causal history. Causalist theories include Donald Davidson's account, who defines actions as bodily m ...
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Will (philosophy)
Will, within philosophy, is a faculty of the mind. Will is important as one of the parts of the mind, along with reason and understanding. It is considered central to the field of ethics because of its role in enabling deliberate action. One of the recurring questions discussed in the Western philosophical tradition is that of free will - and the related, but more general notion of fate - which asks how the will can be truly free if a person's actions have either natural or divine causes which determine them. In turn, this is directly connected to discussions on the nature of freedom and to the problem of evil. Classical philosophy The classical treatment of the ethical importance of will is to be found in the ''Nicomachean Ethics'' of Aristotle, in Books III (chapters 1–5), and Book VII (chapters 1-10). These discussions have been a major influence in the development of ethical and legal thinking in Western civilization. In Book III Aristotle divided actions into three cate ...
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Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ...
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Matter
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles (or combination of particles) that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or heat. Matter exists in various states (also known as phases). These include classical everyday phases such as solid, liquid, and gas – for example water exists as ice, liquid water, and gaseous steam – but other states are possible, including plasma, Bose–Einstein condensates, fermionic condensates, and quark–gluon plasma. Usually atoms can be imagined as a nucleus of protons and neutrons, and a surro ...
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Evil
Evil, in a general sense, is defined as the opposite or absence of good. It can be an extremely broad concept, although in everyday usage it is often more narrowly used to talk about profound wickedness and against common good. It is generally seen as taking multiple possible forms, such as the form of personal moral evil commonly associated with the word, or impersonal natural evil (as in the case of natural disasters or illnesses), and in religious thought, the form of the demonic or supernatural/eternal. While some religions, world views, and philosophies focus on "good versus evil", others deny evil's existence and usefulness in describing people. Evil can denote profound immorality, but typically not without some basis in the understanding of the human condition, where strife and suffering ( cf. Hinduism) are the true roots of evil. In certain religious contexts, evil has been described as a supernatural force. Definitions of evil vary, as does the analysis of it ...
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