Final answer:
Plato deals with the challenges of nepotism by advocating for a meritocratic system of governance in his work The Republic.
Step-by-step explanation:
In Plato's work The Republic, he addresses the challenges of nepotism by advocating for a meritocratic system of governance. Plato believed that society should be organized as an organic whole, with each person performing their role based on their abilities and expertise. He proposed that philosopher-kings, who possess both practical knowledge and intellectual understanding, should be the leaders of society. These philosopher-kings would be selected based on their merit and not through inheritance or nepotism.