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Pythagoras and Plato were some big mathmations in the Greek times, but I don't know how they got started.
Major contributions of the plato in geometers
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Thales, Eucleides, Aristarchus, Zeno of Elea, Pythagoras, Plato, Aristotle, Aristarchus of Syracuse, Chilon of Lakedemon, Solon, Protagoras are an indicative list of philosophers - founders of the mathematics science.