Socrates' refutation of thrasymachus

In Gerasimos Xenophon Santas (ed.), The Blackwell Guide to Plato's Republic. Blackwell (2006)
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Abstract
Socrates’ refutations of Thrasymachus in Republic I are unsatisfactory on a number of levels which need to be carefully distinguished. At the same time several of his arguments are more powerful than they initially appear. Of particular interest are those which turn on the idea of a craft, which represents a shared norm of practical rationality here contested by Socrates and Thrasymachus.
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