Asclepius Of Tralles
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Asclepius Of Tralles
Asclepius of Tralles ( el, ; died c. 560–570) was a student of Ammonius Hermiae. Two works of his survive: *Commentary on Aristotle's ''Metaphysics'', books I-VII (''In Aristotelis metaphysicorum libros Α - Ζ (1 - 7) commentaria'', ed. Michael Hayduck, Commentaria in Aristotelem Graeca, VI.2, Berin: Reiner, 1888). *Commentary on Nicomachus' '' Introduction to Arithmetic'' (Leonardo Tarán, ''Asclepius of Tralles, Commentary to Nicomachus' Introduction to Arithmetic'', Transactions of the American Philosophical Society (n.s.), 59: 4. Philadelphia, 1969. Both works seem to be notes on the lectures conducted by Ammonius. Asclepius Trallianus – In Aristotelis Metaphysicorum libros, 1576 – BEIC 11363053.jpg, ''In Aristotelis Metaphysicorum libros'', 1576 (commentary on Aristotle's ''Metaphysics'') References * Martindale, John Robert, ''The Prosopography of the later Roman Empire'', Cambridge University Press, 1994, vol. 3, pp. 135–136. 6th-century philoso ...
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Ammonius Hermiae
Ammonius Hermiae (; grc-gre, Ἀμμώνιος ὁ Ἑρμείου, Ammōnios ho Hermeiou, Ammonius, son of Hermias; – between 517 and 526) was a Greek philosopher from Alexandria in the eastern Roman empire during Late Antiquity. A Neoplatonist, he was the son of the philosophers Hermias and Aedesia, the brother of Heliodorus of Alexandria and the grandson of Syrianus. Ammonius was a pupil of Proclus in Roman Athens, and taught at Alexandria for most of his life, having obtained a public chair in the 470s. According to Olympiodorus of Thebes's ''Commentaries'' on Plato's ''Gorgias'' and ''Phaedo'' texts, Ammonius gave lectures on the works of Plato, Aristotle, and Porphyry of Tyre, and wrote commentaries on Aristotelian works and three lost commentaries on Platonic texts. He is also the author of a text on the astrolabe published in the ''Catalogus Codicum Astrologorum Graecorum'', and lectured on astronomy and geometry. Ammonius taught numerous Neoplatonists, includin ...
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Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ...
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Metaphysics (Aristotle)
''Metaphysics'' (Greek: τὰ μετὰ τὰ φυσικά, "things after the ones about the natural world"; Latin: ''Metaphysica'') is one of the principal works of Aristotle, in which he develops the doctrine that is sometimes referred to as ''Wisdom'', sometimes as ''First Philosophy'', and sometimes as ''Theology,'' in English. It is one of the first major works of the branch of western philosophy known as metaphysics. It is a compilation of various texts treating abstract subjects, notably Being, different kinds of causation, form and matter, the existence of mathematical objects and the cosmos. Overview The ''Metaphysics'' is considered to be one of the greatest philosophical works. Its influence on the Greeks, the Muslim philosophers, Maimonides thence the scholastic philosophers and even writers such as Dante was immense. Aristotle gives an epistemology of causation: his theory of four causes to supplement the material and formal causes of earlier theories. Also hi ...
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Nicomachus
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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Introduction To Arithmetic
The book ''Introduction to Arithmetic'' ( grc-gre, Ἀριθμητικὴ εἰσαγωγή, ''Arithmetike eisagoge'') is the only extant work on mathematics by Nicomachus (60–120 AD). Summary The work contains both philosophical prose and basic mathematical ideas. Nicomachus refers to Plato quite often, and writes that philosophy can only be possible if one knows enough about mathematics. Nicomachus also describes how natural numbers and basic mathematical ideas are eternal and unchanging, and in an abstract realm. It consists of two books, twenty-three and twenty-nine chapters, respectively. Although he was preceded by the Babylonians and the Chinese, Nicomachus provided one of the earliest Greco-Roman multiplication tables, whereas the oldest extant Greek multiplication table is found on a wax tablet dated to the 1st century AD (now found in the British Museum). Influence The ''Introduction to Arithmetic'' of Nicomachus was a standard textbook in Neoplatonic schools an ...
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6th-century Philosophers
The 6th century is the period from 501 through 600 in line with the Julian calendar. In the West, the century marks the end of Classical Antiquity and the beginning of the Middle Ages. The collapse of the Western Roman Empire late in the previous century left Europe fractured into many small Germanic kingdoms competing fiercely for land and wealth. From the upheaval the Franks rose to prominence and carved out a sizeable domain covering much of modern France and Germany. Meanwhile, the surviving Eastern Roman Empire began to expand under Emperor Justinian, who recaptured North Africa from the Vandals and attempted fully to recover Italy as well, in the hope of reinstating Roman control over the lands once ruled by the Western Roman Empire. In its second Golden Age, the Sassanid Empire reached the peak of its power under Khosrau I in the 6th century.Roberts, J: "History of the World.". Penguin, 1994. The classical Gupta Empire of Northern India, largely overrun by the Huna, ended in ...
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Byzantine Philosophers
The Byzantine Empire, also referred to as the Eastern Roman Empire or Byzantium, was the continuation of the Roman Empire primarily in its eastern provinces during Late Antiquity and the Middle Ages, when its capital city was Constantinople. It survived the fragmentation and fall of the Western Roman Empire in the 5th century AD and continued to exist for an additional thousand years until the fall of Constantinople to the Ottoman Empire in 1453. During most of its existence, the empire remained the most powerful economic, cultural, and military force in Europe. The terms "Byzantine Empire" and "Eastern Roman Empire" were coined after the end of the realm; its citizens continued to refer to their empire as the Roman Empire, and to themselves as Romans—a term which Greeks continued to use for themselves into Ottoman times. Although the Roman state continued and its traditions were maintained, modern historians prefer to differentiate the Byzantine Empire from Ancient Rome a ...
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Commentators On Aristotle
Commentaries on Aristotle refers to the great mass of literature produced, especially in the ancient and medieval world, to explain and clarify the works of Aristotle. The pupils of Aristotle were the first to comment on his writings, a tradition which was continued by the Peripatetic school throughout the Hellenistic period and the Roman era. The Neoplatonists of the late Roman empire wrote many commentaries on Aristotle, attempting to incorporate him into their philosophy. Although Ancient Greek commentaries are considered the most useful, commentaries continued to be written by the Christian scholars of the Byzantine Empire and by the many Islamic philosophers and Western scholastics who had inherited his texts. Greek commentators The first pupils of Aristotle commentated on his writings, but often with a view to expand his work. Thus Theophrastus invented five moods of syllogism in the first figure, in addition to the four invented by Aristotle, and stated with additional accu ...
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6th-century Deaths
The 6th century is the period from 501 through 600 in line with the Julian calendar. In the West, the century marks the end of Classical Antiquity and the beginning of the Middle Ages. The collapse of the Western Roman Empire late in the previous century left Europe fractured into many small Germanic kingdoms competing fiercely for land and wealth. From the upheaval the Franks rose to prominence and carved out a sizeable domain covering much of modern France and Germany. Meanwhile, the surviving Eastern Roman Empire began to expand under Emperor Justinian, who recaptured North Africa from the Vandals and attempted fully to recover Italy as well, in the hope of reinstating Roman control over the lands once ruled by the Western Roman Empire. In its second Golden Age, the Sassanid Empire reached the peak of its power under Khosrau I in the 6th century.Roberts, J: "History of the World.". Penguin, 1994. The classical Gupta Empire of Northern India, largely overrun by the Huna, ended i ...
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Ancient Greek Mathematicians
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly extant from the 7th century BC to the 4th century AD, around the shores of the Eastern Mediterranean. Greek mathematicians lived in cities spread over the entire Eastern Mediterranean from Italy to North Africa but were united by Greek culture and the Greek language. The word "mathematics" itself derives from the grc, , máthēma , meaning "subject of instruction". The study of mathematics for its own sake and the use of generalized mathematical theories and proofs is an important difference between Greek mathematics and those of preceding civilizations. Origins of Greek mathematics The origin of Greek mathematics is not well documented. The earliest advanced civilizations in Greece and in Europe were the Minoan and later Mycenaean civilizations, both of which flourished during the 2nd millennium BCE. While these civilizations possessed writing an ...
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