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Matter (philosophy)
Philosophy of matter is the branch of philosophy concerned with issues surrounding the ontology, epistemology and character of matter and the material world. The word ''matter'' is derived from the Latin word ''materia'', meaning "wood", or “timber”, in the sense "material", as distinct from "mind" or "form".'' Oxford English Dictionary'': "matter" The image of wood came to Latin as a calque from the ancient Greek philosophical usage of ''hyle'' (ὕλη). Ancient Greek philosophy In ancient Greek philosophy, ''arche'' (ἀρχή) is the beginning or the first principle of the world. Thales of Miletus claimed that the first principle of all things is water. His theory was supported by the observation of moisture throughout the world and coincided with his theory that the earth floated on water. Thales's theory was refuted by his pupil and successor, Anaximander. Anaximander noted that water could not be the arche because it could not give rise to its opposite, fire. Anaximan ...
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Philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some sources claim the term was coined by Pythagoras ( BCE), although this theory is disputed by some. Philosophical methods include questioning, critical discussion, rational argument, and systematic presentation. in . Historically, ''philosophy'' encompassed all bodies of knowledge and a practitioner was known as a '' philosopher''."The English word "philosophy" is first attested to , meaning "knowledge, body of knowledge." " natural philosophy," which began as a discipline in ancient India and Ancient Greece, encompasses astronomy, medicine, and physics. For example, Newton's 1687 ''Mathematical Principles of Natural Philosophy'' later became classified as a book of physics. In the 19th century, the growth of modern research ...
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Leucippus
Leucippus (; el, Λεύκιππος, ''Leúkippos''; fl. 5th century BCE) is a pre-Socratic Greek philosopher who has been credited as the first philosopher to develop a theory of atomism. Leucippus' reputation, even in antiquity, was obscured by the reputation of his much more famous pupil, Democritus, who is also credited with the first development of atomic theory. Few details about Leucippus' life are known, and even his historical existence has on occasion been questioned. Biography Leucippus's dates are not recorded and he is often mentioned in conjunction with his more well-known pupil Democritus. Diogenes Laertius lists possible birthplaces as Miletus, Abdera and Elea. Some sources claim that around 440 or 430 BCE Leucippus founded a school at Abdera, with which his pupil, Democritus, was closely associated. There is mention that a Leucippus founded the city of Metapontum, which honored this Leucippus with a coin. Philosophical views Leucippus is typically assoc ...
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Octahedron
In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron. It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations. An octahedron is the three-dimensional case of the more general concept of a cross polytope. A regular octahedron is a 3-ball in the Manhattan () metric. Regular octahedron Dimensions If the edge length of a regular octahedron is ''a'', the radius of a circumscribed sphere (one that touches the octahedron at all vertices) is :r_u = \frac a \approx 0.707 \cdot a and the radius of an inscribed sphere (tangent to each of the octahedron's faces) is :r_i = \frac a \approx 0.408\cdot a while the midradius, which t ...
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Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron a 3-zonohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry. The cube is the only convex polyhedron whose faces are all squares. Orthogonal projections The ''cube'' has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure. The first and third correspond to the A2 and B2 Coxeter planes. Spherical tiling The cube can also be represented as a spherical tiling, and p ...
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Platonic Solids
In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex. There are only five such polyhedra: Geometers have studied the Platonic solids for thousands of years. They are named for the ancient Greek philosopher Plato who hypothesized in one of his dialogues, the '' Timaeus'', that the classical elements were made of these regular solids. History The Platonic solids have been known since antiquity. It has been suggested that certain carved stone balls created by the late Neolithic people of Scotland represent these shapes; however, these balls have rounded knobs rather than being polyhedral, the numbers of knobs frequently differed from the numbers of vertices of the Platonic solids, there is no ball whose knobs match the 20 vert ...
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Timaeus (dialogue)
''Timaeus'' (; grc-gre, Τίμαιος, Timaios, ) is one of Plato's dialogues, mostly in the form of long monologues given by Critias and Timaeus, written 360 BC. The work puts forward reasoning on the possible nature of the physical world and human beings and is followed by the dialogue '' Critias''. Participants in the dialogue include Socrates, Timaeus, Hermocrates, and Critias. Some scholars believe that it is not the Critias of the Thirty Tyrants who appears in this dialogue, but his grandfather, who is also named Critias. It has been suggested from some traditions ( Diogenes Laertius (VIII 85) from Hermippus of Smyrna (3rd century BC) and Timon of Phlius ( 320 – 235 BC)) that ''Timaeus'' was influenced by a book about Pythagoras, written by Philolaus, although this assertion is generally considered false. Introduction The dialogue takes place the day after Socrates described his ideal state. In Plato's works, such a discussion occurs in the ''Republic''. Socra ...
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Plato
Plato ( ; grc-gre, Πλάτων ; 428/427 or 424/423 – 348/347 BC) was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institution of higher learning on the European continent. Along with his teacher, Socrates, and his student, Aristotle, Plato is a central figure in the history of Ancient Greek philosophy and the Western and Middle Eastern philosophies descended from it. He has also shaped religion and spirituality. The so-called neoplatonism of his interpreter Plotinus greatly influenced both Christianity (through Church Fathers such as Augustine) and Islamic philosophy (through e.g. Al-Farabi). In modern times, Friedrich Nietzsche diagnosed Western culture as growing in the shadow of Plato (famously calling Christianity "Platonism for the masses"), while Alfred North Whitehead famously said: "the safest general characterization of the European philosophical tra ...
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Aether (classical Element)
According to ancient and medieval science, aether (, alternative spellings include ''æther'', ''aither'', and ''ether''), also known as the fifth element or quintessence, is the material that fills the region of the universe beyond the terrestrial sphere. The concept of aether was used in several theories to explain several natural phenomena, such as the traveling of light and gravity. In the late 19th century, physicists postulated that aether permeated all throughout space, providing a medium through which light could travel in a vacuum, but evidence for the presence of such a medium was not found in the Michelson–Morley experiment, and this result has been interpreted as meaning that no such luminiferous aether exists. Mythological origins The word (''aithḗr'') in Homeric Greek means "pure, fresh air" or "clear sky". In Greek mythology, it was thought to be the pure essence that the gods breathed, filling the space where they lived, analogous to the '' air'' bre ...
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Air (classical Element)
Air is one of the four classical elements along with water, earth and fire in ancient Greek philosophy and in Western alchemy. Greek and Roman tradition According to Plato, it is associated with the octahedron; air is considered to be both hot and wet. The ancient Greeks used two words for air: ''aer'' meant the dim lower atmosphere, and '' aether'' meant the bright upper atmosphere above the clouds. Plato, for instance writes that "So it is with air: there is the brightest variety which we call ''aether'', the muddiest which we call mist and darkness, and other kinds for which we have no name...." Among the early Greek Pre-Socratic philosophers, Anaximenes (mid-6th century BCE) named air as the '' arche''. A similar belief was attributed by some ancient sources to Diogenes Apolloniates (late 5th century BCE), who also linked air with intelligence and soul (''psyche''), but other sources claim that his ''arche'' was a substance between air and fire. Aristophanes parodied such ...
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Fire (classical Element)
Fire is one of the four classical elements along with earth, water and air in ancient Greek philosophy and science. Fire is considered to be both hot and dry and, according to Plato, is associated with the tetrahedron. Greek and Roman tradition Fire is one of the four classical elements in ancient Greek philosophy and science. It was commonly associated with the qualities of energy, assertiveness, and passion. In one Greek myth, Prometheus stole ''fire'' from the gods to protect the otherwise helpless humans, but was punished for this charity. Fire was one of many '' archai'' proposed by the pre-Socratics, most of whom sought to reduce the cosmos, or its creation, to a single substance. Heraclitus considered ''fire'' to be the most fundamental of all elements. He believed fire gave rise to the other three elements: "All things are an interchange for fire, and fire for all things, just like goods for gold and gold for goods." Diels-Kranz B90 (Freeman 9481970p. 45. He had ...
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Water (classical Element)
Water is one of the classical elements in ancient Greek philosophy along with air, earth and fire, in the Asian Indian system '' Panchamahabhuta'', and in the Chinese cosmological and physiological system '' Wu Xing''. In contemporary esoteric traditions, it is commonly associated with the qualities of emotion and intuition. Greek and Roman tradition Water was one of many ''archai'' proposed by the Pre-socratics, most of whom tried to reduce all things to a single substance. However, Empedocles of Acragas (c. 495 – c. 435 BC) selected four archai for his four roots: air, fire, water and earth. Empedocles roots became the four classical elements of Greek philosophy. Plato (427–347 BC) took over the four elements of Empedocles. In the Timaeus, his major cosmological dialogue, the Platonic solid associated with water is the icosahedron which is formed from twenty equilateral triangles. This makes water the element with the greatest number of sides, which Plato regarded as ...
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Earth (classical Element)
Earth is one of the classical elements, in some systems being one of the four along with air, fire, and water. European tradition Earth is one of the four classical elements in ancient Greek philosophy and science. It was commonly associated with qualities of heaviness, matter and the terrestrial world. Due to the hero cults, and chthonic underworld deities, the element of ''earth'' is also associated with the sensual aspects of both life and death in later occultism. Empedocles of Acragas proposed four '' archai'' by which to understand the cosmos: ''fire'','' air'', ''water'', and ''earth''. Plato (427–347 BCE) believed the elements were geometric forms (the platonic solids) and he assigned the cube to the element of ''earth'' in his dialogue '' Timaeus''. Aristotle (384–322 BCE) believed ''earth'' was the heaviest element, and his theory of '' natural place'' suggested that any ''earth–laden'' substances, would fall quickly, straight down, towards the center ...
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