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Pythagoras
Pythagoras of Samos ( grc, Πυθαγόρας ὁ Σάμιος, Pythagóras ho Sámios, Pythagoras the Samian, or simply ; in Ionian Greek; ) was an ancient Ionian Greek philosopher and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in general. Knowledge of his life is clouded by legend, but he appears to have been the son of Mnesarchus, a gem-engraver on the island of Samos. Modern scholars disagree regarding Pythagoras's education and influences, but they do agree that, around 530 BC, he travelled to Croton in southern Italy, where he founded a school in which initiates were sworn to secrecy and lived a communal, ascetic lifestyle. This lifestyle entailed a number of dietary prohibitions, traditionally said to have included vegetarianism, although modern scholars doubt that he ever advocated complete vegetarianism. The t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pythagoreanism
Pythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in the ancient Greek colony of Kroton, in modern Calabria (Italy). Early Pythagorean communities spread throughout Magna Graecia. Pythagoras' death and disputes about his teachings led to the development of two philosophical traditions within Pythagoreanism. The ''akousmatikoi'' were superseded in the 4th century BC as a significant mendicant school of philosophy by the Cynics. The ''mathēmatikoi'' philosophers were absorbed into the Platonic school in the 4th century BC. Following political instability in Magna Graecia, some Pythagorean philosophers fled to mainland Greece while others regrouped in Rhegium. By about 400 BC the majority of Pythagorean philosophers had left Italy. Pythagorean ideas exercised a marked influence on Plato and through him, on all of Western ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides ''a'', ''b'' and the hypotenuse ''c'', often called the Pythagorean equation: :a^2 + b^2 = c^2 , The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean relation: the squared dis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pherecydes Of Syros
Pherecydes of Syros (; grc-gre, Φερεκύδης ὁ Σύριος; fl. 6th century BCE) was an Ancient Greek mythographer and proto- philosopher from the island of Syros. Little is known about his life and death. Some ancient testimonies counted Pherecydes among the Seven Sages of Greece, although he is generally believed to have lived in the generation after them. Others claim he was either a student of Pittacus, the teacher of Pythagoras, or a well-traveled autodidact who had studied secret Phoenician books. Pherecydes wrote a book on cosmogony, known as the "Pentemychos" or "Heptamychos". He was considered the first writer to communicate philosophical ideas in prose as opposed to verse. However, other than a few short fragments preserved in quotations from other ancient philosophers and a long fragment discovered on an Egyptian papyrus, his work is lost. However, it survived into the Hellenistic period and a significant amount of its content can be conjectured indirec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pre-Socratic Philosophy
Pre-Socratic philosophy, also known as early Greek philosophy, is ancient Greek philosophy before Socrates. Pre-Socratic philosophers were mostly interested in cosmology, the beginning and the substance of the universe, but the inquiries of these early philosophers spanned the workings of the natural world as well as human society, ethics, and religion. They sought explanations based on natural law rather than the actions of gods. Their work and writing has been almost entirely lost. Knowledge of their views comes from ''testimonia'', i.e. later authors' discussions of the work of pre-Socratics. Philosophy found fertile ground in the ancient Greek world because of the close ties with neighboring civilizations and the rise of autonomous civil entities, ''poleis''. Pre-Socratic philosophy began in the 6th century BCE with the three Milesians: Thales, Anaximander, and Anaximenes. They all attributed the ''arche'' (a word that could take the meaning of "origin," "substance" or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Themistoclea
Themistoclea (; grc-gre, Θεμιστόκλεια ''Themistokleia''; also Aristoclea (; Ἀριστοκλεία ''Aristokleia''), Theoclea (; Θεοκλεία ''Theokleia''); fl. 6th century BCE) was, according to surviving sources, Pythagoras’ teacher while a priestess at Delphi. She is also considered one of the first European philosophers, though none of her works seem to have survived since the 6th century. Life In the biography of Pythagoras in his '' Lives and Opinions of Eminent Philosophers'', Diogenes Laërtius (3rd century CE) cites the statement of Aristoxenus (4th century BCE) that Themistoclea taught Pythagoras his moral doctrines: Aristoxenus says that Pythagoras got most of his moral doctrines from the Delphic priestess Themistoclea. Porphyry (233–305 CE) calls her Aristoclea (''Aristokleia''), although there is little doubt that he is referring to the same person. Porphyry repeats the claim that she was the teacher of Pythagoras: He (Pythagoras) taught m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Orphism (religion)
Orphism (more rarely Orphicism; grc, Ὀρφικά, Orphiká) is the name given to a set of religious beliefs and practices originating in the ancient Greek and Hellenistic world, associated with literature ascribed to the mythical poet Orpheus, who descended into the Greek underworld and returned. This type of journey is called a katabasis and is the basis of a several hero worships and journeys. Orphics revered Dionysus (who once descended into the Underworld and returned) and Persephone (who annually descended into the Underworld for a season and then returned). Orphism has been described as a reform of the earlier Dionysian religion, involving a re-interpretation or re-reading of the myth of Dionysus and a re-ordering of Hesiod's ''Theogony'', based in part on pre-Socratic philosophy. The central focus of Orphism is the suffering and death of the god Dionysus at the hands of the Titans, which forms the basis of Orphism's central myth. According to this myth, the infant Di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anaximander
Anaximander (; grc-gre, Ἀναξίμανδρος ''Anaximandros''; ) was a pre-Socratic Greek philosopher who lived in Miletus,"Anaximander" in ''Chambers's Encyclopædia''. London: George Newnes, 1961, Vol. 1, p. 403. a city of Ionia (in modern-day Turkey). He belonged to the Milesian school and learned the teachings of his master Thales. He succeeded Thales and became the second master of that school where he counted Anaximenes and, arguably, Pythagoras amongst his pupils. Little of his life and work is known today. According to available historical documents, he is the first philosopher known to have written down his studies, although only one fragment of his work remains. Fragmentary testimonies found in documents after his death provide a portrait of the man. Anaximander was an early proponent of science and tried to observe and explain different aspects of the universe, with a particular interest in its origins, claiming that nature is ruled by laws, just like human ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thales Of Miletus
Thales of Miletus ( ; grc-gre, Θαλῆς; ) was a Greek mathematician, astronomer, statesman, and pre-Socratic philosopher from Miletus in Ionia, Asia Minor. He was one of the Seven Sages of Greece. Many, most notably Aristotle, regarded him as the first philosopher in the Greek tradition, and he is otherwise historically recognized as the first individual known to have entertained and engaged in scientific philosophy.Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 He is often referred to as the Father of Science. Thales is recognized for breaking from the use of mythology to explain the world and the universe, instead explaining natural objects and phenomena by offering naturalistic theories and hypotheses. Almost all the other pre-Socratic philosophers followed him in explaining nature as deriving from a unity of everything based on the existence of a single ultimate substance instead of using mythological explanatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Samos
Samos (, also ; el, Σάμος ) is a Greece, Greek island in the eastern Aegean Sea, south of Chios, north of Patmos and the Dodecanese, and off the coast of western Turkey, from which it is separated by the -wide Mycale Strait. It is also a separate regional units of Greece, regional unit of the North Aegean region. In Classical Antiquity, ancient times, Samos was an especially rich and powerful city-state, particularly known for its vineyards and wine production. It is home to Pythagoreion and the Heraion of Samos, a UNESCO World Heritage Site that includes the Eupalinian aqueduct, a marvel of ancient engineering. Samos is the birthplace of the Greek philosophy, Greek philosopher and mathematician Pythagoras, after whom the Pythagorean theorem is named, the philosophers Melissus of Samos and Epicurus, and the astronomer Aristarchus of Samos, the first known individual to propose that the Heliocentrism, Earth revolves around the sun. Samian wine was well known in antiquity and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Musica Universalis
The ''musica universalis'' (literally universal music), also called music of the spheres or harmony of the spheres, is a philosophical concept that regards proportions in the movements of celestial bodies – the Sun, Moon, and planets – as a form of music. The theory, originating in ancient Greece, was a tenet of Pythagoreanism, and was later developed by 16th-century astronomer Johannes Kepler. Kepler did not believe this "music" to be audible, but felt that it could nevertheless be heard by the soul. The idea continued to appeal to scholars until the end of the Renaissance, influencing many schools of thought, including humanism. History The concept of the "music of the spheres" incorporates the metaphysical principle that mathematical relationships express qualities or "tones" of energy which manifest in numbers, visual angles, shapes and sounds – all connected within a pattern of proportion. Pythagoras first identified that the pitch of a musical note is i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vegetarianism
Vegetarianism is the practice of abstaining from the consumption of meat (red meat, poultry, seafood, insects, and the flesh of any other animal). It may also include abstaining from eating all by-products of animal slaughter. Vegetarianism may be adopted for various reasons. Many people object to eating meat out of respect for sentient animal life. Such ethical motivations have been codified under various religious beliefs as well as animal rights advocacy. Other motivations for vegetarianism are health-related, political, environmental, cultural, aesthetic, economic, taste-related, or relate to other personal preferences. There are many variations of the vegetarian diet: an ovo-lacto vegetarian diet includes both eggs and dairy products, an ovo-vegetarian diet includes eggs but not dairy products, and a lacto-vegetarian diet includes dairy products but not eggs. As the strictest of vegetarian diets, a vegan diet excludes all animal products, and can be accompanied ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metempsychosis
Metempsychosis ( grc-gre, μετεμψύχωσις), in philosophy, is the Reincarnation#Conceptual definitions, transmigration of the soul, especially its reincarnation after death. The term is derived from ancient Greek philosophy, and has been recontextualised by modern philosophers such as Arthur Schopenhauer and Kurt Gödel; otherwise, the term ''transmigration'' is more appropriate. The word plays a prominent role in James Joyce's ''Ulysses (novel), Ulysses'' and is also associated with Friedrich Nietzsche, Nietzsche. Another term sometimes used synonymously is ''palingenesis''. History It is unclear how the doctrine of metempsychosis arose in Greece. It is easiest to assume that earlier ideas which had never been extinguished were used for religious and philosophic purposes. Orphism The Orphism (religion), Orphic religion, which held it, first appeared in Thrace upon the Barbarian#In classical Greco-Roman contexts, semi-barbarous northeastern frontier. Orpheus, its l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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