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==== Mathematics ==== Around 394 BC or earlier, he returned to Athens, where, as an Athenian male of military age he would have needed to be available to serve in the [[Corinthian war]], which Athens participated in from 395 to 386 BC.{{sfn|Waterfield|2023|p=73}} Other than potential military service, Plato spent his time studying mathematics with [[Archytas of Tarentum]], [[Theaetetus (mathematician) | Theaetetus]], [[Leodamas of Thasos]], and [[Neoclides]] in the grove of [[Hecademus]],{{sfn|Nails|2006|pp=5-6}} named after an [[Attica|Attic]] hero in [[Greek mythology]], northwest of the city of [[Athens]], where he would later found his Academy.{{sfn|Waterfield|2023}} During this time, Plato likely began work on some of his earliest works; including the ''[[Apology (Plato)|Apology]]'', possibly early drafts of the ''[[Gorgias (dialogue)|Gorgias]]'' and ''[[Republic (Plato)|Republic]]'' Book I, and an early form of the ''Republic'' books II-IV, in the form of a speech rather than a dialogue, which was ridiculed by Aristophanes in the ''[[Ecclesiazusae]]'' in 391 BC.{{sfn|Nails|2006|p=6}} [[Speusippus]], the son of Plato's sister Potone, who took over the academy after Plato's death, joined the group in about 390 BC, and [[Eudoxus of Cnidus]], another early mathematician, arrived around 385 BC.{{sfn|Nails|2006|pp=5-6}}
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