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A survey of Euclid's 'Elements,' this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions & rather than strictly historical and mathematical issues & and features several helpful appendixes.
Mathematics --- Logic, Symbolic and mathematical. --- Mathématiques --- Logique symbolique et mathématique --- Philosophy. --- Philosophie --- Euclid. --- Logic, Symbolic and mathematical --- Logique mathématique --- Mathématiques --- Logique symbolique et mathématique --- Logique mathématique. --- Philosophie. --- Logique mathématique.
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Mathematics --- Logic, symbolic and mathematical --- Philosophy --- Euclid --- Logic, Symbolic and mathematical --- -Math --- Science --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Ėẏklid --- Evklid --- Euclid, --- Uqlīdis --- Euklid --- Eukleidēs --- Euclides --- אוקלידוס --- إقليدس --- -Philosophy --- Logic of mathematics --- Mathematics, Logic of --- Euclid. --- Euclides. --- Mathematics - Philosophy --- Euclid - Elements
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Logic --- Logique --- Early works to 1800 --- Ouvrages avant 1800 --- Aristotle. --- Analytica priora (Aristoteles). --- Language and languages --- Language and languages. --- Logic. --- Semantics (Philosophy) --- Semantics (Philosophy). --- Taalfilosofie. --- Philosophy --- Alexander, --- Aristoteles, --- Aristotle --- Sémantique (Philosophie) --- Langage et langues --- Early works to 1800. --- Philosophie
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"Aristotle believed that the outermost stars are carried round us on a transparent sphere. There are directions in the universe and a preferred direction of rotation. The sun moon and planets are carried on different revolving spheres. The spheres and celestial bodies are composed of an everlasting fifth element, which has none of the ordinary contrary properties like heat and cold which could destroy it, but only the facility for uniform rotation. But this creates problems as to how the heavenly bodies create light, and, in the case of the sun, heat. The topics covered in this part of Simplicius' commentary are the speeds and distances of the stars; that the stars are spherical; why the sun and moon have fewer motions than the other five planets; why the sphere of the fixed stars contains so many stars whereas the other heavenly spheres contain no more than one (Simplicius has a long excursus on planetary theory in his commentary on this chapter); discussion of people's views on the position, motion or rest, shape, and size of the earth; that the earth is a relatively small sphere at rest in the centre of the cosmos."--Bloomsbury Publishing.
Cosmologie antique --- Cosmology, Ancient --- Astronomie antique --- Astronomy, Ancient --- Mécanique céleste --- Celestial mechanics --- Aristote, --- Aristotle --- Cosmology, Ancient. --- Cosmology --- Astronomy --- Aristotle. --- Cosmology. --- De caelo (Aristoteles). --- Studies. --- Contributions in cosmology. --- Cosmologie antique. --- Astronomie antique. --- Mécanique céleste. --- Aristote --- Astronomy, Greek --- Cosmology - Early works to 1800 --- Motion --- Science, Ancient --- Four elements (Philosophy) --- Logic --- Physics --- Astronomy, Ancient. --- Mécanique céleste.
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One of the arguments in Aristotle's On the Heavens propounds that the world neither came to be nor will perish. This volume contains the pagan Neoplatonist Simplicius of Cilicia's commentary on the first part of this this important work. The commentary is notable and unusual because Simplicius includes in his discussion lengthy representations of the Christian John Philoponus' criticisms of Aristotle along with his own, frequently sarcastic, responses. This is the first complete translation into a modern language of Simplicius' commentary, and is accompanied by a detailed introduction, extensi.
Philosophy of nature --- Aristotle --- Aristotle. De caelo. --- Astronomy, Ancient. --- Cosmology, Ancient. --- Physics --- Aristotle. --- Astronomy, Greek --- Cosmology --- Early works to 1800. --- Cosmologie antique --- Astronomie antique --- Mécanique céleste --- Aristote, --- Cosmologie antique. --- Astronomie antique. --- Mécanique céleste. --- Aristote
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This is the first English translation of Simplicius' responses to Philoponus' Against Aristotle on the Eternity of the World. The commentary is published in two volumes: Ian Mueller's previous book in the series, Simplicius: On Aristotle On the Heavens 1.2-3, and this book on 1.3-4. Philoponusthe Christian, had argued that Aristotle's arguments do not succeed. For all they show to the contrary, Christianity may be right that the heavens were brought into existence by the only divine being and one moment in time, and will cease to exist at some future moment. Simplicius upholds the pagan view.
Philosophy of nature --- Aristotle --- Astronomie antique. --- Cosmologie antique. --- Mécanique céleste. --- Astronomy, Ancient. --- De caelo (Aristotle) --- Cosmology, Ancient. --- Astronomy, Greek --- Cosmology --- Astronomy, Greek. --- Cosmology. --- Aristotle. --- Aristote (0384-0322 av. J.-C.). --- Cosmologie antique --- Astronomie antique --- Mécanique céleste --- Aristote, --- Aristote
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