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Pythagoras
Pythagoras of Samos (; BC) was an ancient Ionian Greek philosopher, polymath, 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, Western philosophy. Modern scholars disagree regarding Pythagoras's education and influences, but most agree that he travelled to Croton in southern Italy around 530 BC, where he founded a school in which initiates were allegedly sworn to secrecy and lived a communal, ascetic lifestyle. In antiquity, Pythagoras was credited with mathematical and scientific discoveries, such as the Pythagorean theorem, Pythagorean tuning, the five regular solids, the theory of proportions, the sphericity of the Earth, the identity of the morning and evening stars as the planet Venus, and the division of the globe into five climatic zones. He was reputedly the first man to call himself a philosopher ("lover of wi ... [...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 Greece, ancient Greek colony of Crotone, Kroton, in modern Calabria (Italy) circa 530 BC. Early Pythagorean communities spread throughout Magna Graecia. Already during Pythagoras' life it is likely that the distinction between the ''akousmatikoi'' ("those who listen"), who is conventionally regarded as more concerned with religious, and ritual elements, and associated with the oral tradition, and the ''mathematikoi'' ("those who learn") existed. The ancient biographers of Pythagoras, Iamblichus () and his master Porphyry (philosopher), Porphyry ( ) seem to make the distinction of the two as that of 'beginner' and 'advanced'. As the Pythagorean cenobites practiced an esoteric path, like the Greco-Roman mysteries, mystery schools of antiquity, the adherents, ''akou ... [...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. The theorem can be written as an equation relating the lengths of the sides , and the hypotenuse , sometimes called the Pythagorean equation: :a^2 + b^2 = c^2 . The theorem is named for the Ancient Greece, Greek philosopher Pythagoras, born around 570 BC. The theorem has been Mathematical proof, proved numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both Geometry, geometric proofs and Algebra, 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 th ... [...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 BC 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] |
Samos
Samos (, also ; , ) is a Greek island in the eastern Aegean Sea, south of Chios, north of Patmos and the Dodecanese archipelago, and off the coast of western Turkey, from which it is separated by the Mycale Strait. It is also a separate regional unit of the North Aegean region. In 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 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 Earth revolves around the Sun. Samian wine was well known in antiquity and is still produced on the island. The island was governed by the semi-autonomous P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plato
Plato ( ; Greek language, Greek: , ; born BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the written dialogue and dialectic forms. He influenced all the major areas of theoretical philosophy and practical philosophy, and was the founder of the Platonic Academy, a philosophical school in History of Athens, Athens where Plato taught the doctrines that would later become known as Platonism. Plato's most famous contribution is the theory of forms, theory of forms (or ideas), which aims to solve what is now known as the problem of universals. He was influenced by the pre-Socratic thinkers Pythagoras, Heraclitus, and Parmenides, although much of what is known about them is derived from Plato himself. Along with his teacher Socrates, and his student Aristotle, Plato is a central figure in the history of Western philosophy. Plato's complete ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metempsychosis
In philosophy and theology, metempsychosis () is the transmigration of the soul, especially its reincarnation after death. The term is derived from ancient Greek philosophy, and has been recontextualized by modern philosophers such as Arthur Schopenhauer, Kurt Gödel, Mircea Eliade, and Magdalena Villaba; otherwise, the word "transmigration" is more appropriate. The word plays a prominent role in James Joyce's '' Ulysses'' and is also associated with Nietzsche. Another term sometimes used synonymously is '' palingenesis''. Orphism A belief in metempsychosis has been associated with Orphism, the name given to a religious movement said in antiquity to have been founded by the legendary poet Orpheus. Orphism is said to hold that soul and body are united by a contract unequally binding on either. The soul is divine but immortal and aspires to freedom, while the body holds it in fetters as a prisoner. Death dissolves that contract but only to reimprison the liberated soul after ... [...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 that manifests 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 an inverse prop ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Crotone
Crotone (; ; or ) is a city and ''comune'' in Calabria, Italy. Founded as the Achaean colony of Kroton ( or ; ), it became a great Greek city, home of the renowned mathematician-philosopher Pythagoras amongst other famous citizens, and one of the most important centres of Magna Graecia. It was known as Cotrone from the Middle Ages until 1928, when its name was changed to the current one. In 1992, it became the capital of the newly established Province of Crotone. History The promontory of Kroton was inhabited by indigenous populations, perhaps Oenotrians and Japigi, in the Bronze Age and early Iron Age. Foundation Kroton's '' oikistes'' (founder) was Myscellus, from the city of Rhypes in Achaea in the northern Peloponnese, after consulting the Delphic Oracle who announced: :''Cross the vast sea and next to the Esaro (river) you will found Kroton.'' The Achaeans were motivated, like others of the Greek colonisation, by the lack of cultivatable land in their mounta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ancient Greek Philosophy
Ancient Greek philosophy arose in the 6th century BC. Philosophy was used to make sense of the world using reason. It dealt with a wide variety of subjects, including astronomy, epistemology, mathematics, political philosophy, ethics, metaphysics, ontology, logic, biology, rhetoric and aesthetics. Greek philosophy continued throughout the Hellenistic period and later evolved into Roman philosophy. Greek philosophy has influenced much of Western culture since its inception, and can be found in many aspects of public education. Alfred North Whitehead once claimed: "The safest general characterization of the European philosophical tradition is that it consists of a series of footnotes to Plato". Clear, unbroken lines of influence lead from ancient Greek and Hellenistic philosophers to Roman philosophy, early Islamic philosophy, medieval scholasticism, the European Renaissance and the Age of Enlightenment. Greek philosophy was influenced to some extent by the older wisdom litera ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vegetarianism
Vegetarianism is the practice of abstaining from the Eating, consumption of meat (red meat, poultry, seafood, insects as food, insects, and the flesh of any other animal). It may also include abstaining from eating all by-products of animal slaughter. A person who practices vegetarianism is known as a vegetarian. Vegetarianism may be adopted for various reasons. Many people ethics of eating meat, object to eating meat out of respect for Sentience, sentient animal life. Such ethical motivations have been codified vegetarianism and religion, under various religious beliefs as well as animal rights advocacy. Other motivations for vegetarianism are health-related, political, Environmental vegetarianism, environmental, cultural, aesthetic, Economic vegetarianism, economic, gastronomy, taste-related, or relate to other personality psychology, personal preferences. A small number of towns and cities around the world are exclusively vegetarian or have outlawed meat, including Rishikesh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pythagorean Tuning
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifthsBruce Benward and Marilyn Nadine Saker (2003). ''Music: In Theory and Practice'', seventh edition, 2 vols. (Boston: McGraw-Hill). Vol. I: p. 56. which are " pure" or perfect, with ratio 3:2. This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2:1), and hence is the next most consonant "pure" interval, and the easiest to tune by ear. As Novalis put it, "The musical proportions seem to me to be particularly correct natural proportions." Alternatively, it can be described as the tuning of the syntonic temperament in which the generator is the ratio 3:2 (i.e., the untempered perfect fifth), which is ≈ 702 cents wide. The system dates back to Ancient Mesopotamia;. (See .) It is named, and has been widely misattributed, to Ancient Greeks, notably Pythagoras (six ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metapontum
Metapontum or Metapontium () was an ancient city of Magna Graecia, situated on the gulf of Taranto, Tarentum, between the river Bradanus and the Casuentus (modern Basento). It was distant about 20 km from Heraclea (Lucania), Heraclea and 40 from Tarentum. The ruins of Metapontum are located in the frazione of Metaponto, in the comune of Bernalda, in the Province of Matera, Basilicata region, southern Italy. History Foundation Though Metapontum was an ancient ancient Greece, Greek Achaean colony, various traditions assigned to it a much earlier origin. Strabo and Gaius Julius Solinus, Solinus ascribe its foundation to a body of Pylos, Pylians, a part of those who had followed Nestor (mythology), Nestor to Troy. Justin (historian), Justin, conversely, tells us it was founded by Epeius of Phocis, Epeius; in proof of which the inhabitants showed, in a temple of Minerva, the tools which the hero had used to build the Trojan Horse. Another tradition, reported by Ephorus, says ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
