Plato Plato was not optimistic about the results; but because both Dion and Archytasof tarentum, a philosopherstatesman, thought the prospect promising, http://www.omhros.gr/Kat/History/Greek/Ph/Plato.htm
Extractions: d. 348/347, Athens Ancient Greek philosopher, the second of the great trio of ancient Greeks Socrates , Plato, and Aristotle who between them laid the philosophical foundations of Western culture . Building on the life and thought of Socrates, Plato developed a profound and wide-ranging system of philosophy. His thought has logical, epistemological, and metaphysical aspects; but its underlying motivation is ethical. It sometimes relies upon conjectures and myth, and it is occasionally mystical in tone; but fundamentally Plato is a rationalist, devoted to the proposition that reason must be followed wherever it leads. Thus the core of Plato's philosophy, resting upon a foundation of eternal Ideas, or Forms, is a rationalistic ethics. Plato was born, the son of Ariston and Perictione, in about 428 BC, the year after the death of the great statesman Pericles . His family, on both sides, was among the most distinguished in Athens. Ariston is said to have claimed descent from the god Poseidon through Codrus, the last king of Athens; on the mother's side, the family was related to the early Greek lawmaker Solon . Nothing is known about Plato's father's death. It is assumed that he died when Plato was a boy. Perictione apparently married as her second husband her uncle Pyrilampes, a prominent supporter of Pericles; and Plato was probably brought up chiefly in his house. Critias and Charmides, leaders among the extremists of the oligarchic terror of 404, were, respectively, cousin and brother of Perictione; both were friends of Socrates, and through them Plato must have known the philosopher from boyhood.
Pythagoras Pythagoras successors were Philolus of Croton (c.470390 BC) and archytas ofTarentum (fl. 400-350 BC), who was a mathematician. http://www.kirjasto.sci.fi/pythagor.htm
Extractions: A B C D ... Z by birthday from the calendar Credits and feedback Pythagoras (570?-495? B.C.) Greek pre-Socratic mathematician and spiritual teacher, a semi-mystical figure, whose ideas has survived, as quotations, in writings of his successors. Pythagoras himself apparently did not record his philosophy in writing, but The Golden Verses , commonly dated to the fourth century B.C. , constitute an important source of ancient Pythagoreanism. "First the Immortal Gods as ranked by law / Honor, and use an oath with holy awe. / Then honour Heroes which Mankind excell, / And Daemons of the earth, by living well. " (from The Golden Verses , trans. by John Norris) Little is known of Pythagoras' life, or what he originally said. And there so are many legends and anecdotes about him, that modern scholars have concluded that Pythagoras acted more like a religious leader than a scientist, mathematician or systematic philosopher. However, at that time these different roles were not contradictory. Pythagoras was born in Samos, Greece, about 570 B.C.
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