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In 431 BCE, Thrasymachos was one of the individuals invited by the statesman Perikles to attend a symposium held at his residence. There, he entered a debate with the philosopher Sokrates about the nature of rulers. The two were later joined by the misthios Kassandra, who provided her thoughts on the discussion. Afterwards, Thrasymachos was one of the first individuals who caught sight of Aspasia's arrival to the party.