The Timaeus - intervals. First [the creator] took one...

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The Timaeus Plato left lots of writings. We've mentioned his Republic in our unit on number symbolism in which he gave the four cardinal virtues, but his love of geometry is especially evident in the Timaeus. Written towards the end of Plato's life, c. 355 BCE, the Timaeus describes a conversation between Socrates, Plato's teacher, Critias, Plato's great grandfather, Hermocrates, a Sicilian statesman and soldier, and Timaeus, Pythagorean, philosopher, scientist, general, contemporary of Plato, and the inventor of the pulley. He was the first to distinguish between harmonic, arithmetic, and geometric progressions. In this book, Timaeus does most the talking, with much homage to Pythagoras and echos of the harmony of the spheres, as he describes the geometric creation of the world. Music of the Spheres Plato, through Timaeus, says that the creator made the world soul out of various ingredients, and formed it into a long strip. The strip was then marked out into
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Unformatted text preview: intervals. First [the creator] took one portion from the whole (1 unit) and next a portion double the first (2 unit) a third portion half again as much as the second (3 unit) the fourth portion double the second (4 unit) the fifth three times the third (9 unit) the sixth eight times the first (8 unit) and the seventh 27 tmes the first (27 unit) They give the seven integers; 1, 2, 3, 4, 8, 9, 27. These contain the monad, source of all numbers, the first even and first odd, and their squares and cubes. Plato's Lambda Slide 8-72 : Arithmetic Personified as a Woman Lawlor, Robert. Sacred Geometry. NY: Thames & Hudson, 1982. p. 7. These seven numbers can be arranged as two progressions Monad 1 Point First even and odd 2 3 Line Squares 4 9 Plane Cubes 8 27 Solid This is called Plato's Lambda , because it is shaped like the Greek letter lambda....
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The Timaeus - intervals. First [the creator] took one...

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