the end of Book I, after Socrates delivered his final refutation. The meaning of this blush, like that of Socrates' statement in Book 6 that he and Thrasymachus "have just become friends, though we weren't even enemies before" (498c), is a source of some dispute.

There is a long philosophical tradition of exploring what exactly Thrasymachus meant in Republic I, and of taking his statements as a coherent philosophical assertion, rather than as Plato's straw man.

In Republic I, Thrasymachus violently

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