The Statesman is a key to “The problem of Socrates”，because it is said that Socrates devoted to the inquiry into human affairs or political issues. For this reason，it is necessary to examine the connection between Socrates and statesman(or king)。In the Statesman， the Eleatic Stranger shows that Socrates stands apart from mathematical philosopher. As a political philosopher，Socrates went down into the cave of the city and observed all sorts of the opinions which look like images，thus he grasped phronêsis or practical wisdom. Phronêsis means that one should do in the middle ground so as to arrive at the end of politics or philosophy——the best sociery，or the best man. Therefore，the political philosopher accounts that phronêsis is superior to mathmatics.In the opening of Statesman ，Socrates encourages two young men to recognize the kinship between them and Socrates，and then the young men will devote themselves to the Socratic philosophy.