For 10 points-name this Platonic dialogue that introduces the concept of the philosopher-king and contains the Allegory of the Cave.
Set in the house of the wealthy aristocrat Cephalus, it begins as a discussion of the benefits of wealth.  Though the gruff Sophist Thrasymachus attempts to pin down Socrates and force him to abandon his relentless question-and-Answer method, Thrasymachus is eventually forced to defend his belief that "might is right, and justice is the interest of the stronger."  For 10 points-name this Platonic dialogue that introduces the concept of the philosopher-king and contains the Allegory of the Cave.
Set in the house of the wealthy aristocrat Cephalus, it begins as a discussion of the benefits of wealth.  
The Republic