

The Republic (c. 375 BC) is Plato's most famous and influential work, structured as a Socratic dialogue concerning the nature of justice and the organization of an ideal city-state (Kallipolis). Through the character of Socrates, Plato explores whether the just man is happier than the unjust man and argues that a truly just society must be governed by 'philosopher-kings' who possess knowledge of the absolute truth. The text is divided into ten books, moving from an ethical investigation into individual character to a political blueprint for a rigid social hierarchy and a metaphysical exploration of reality (Britannica; Stanford Encyclopedia of Philosophy).
The central question of the book is 'What is justice?' Socrates moves from initial definitions (such as 'doing good to friends and harm to enemies') to the conclusion that justice is a harmony between the three parts of the soul—reason, spirit, and appetite—and the corresponding three classes of the city (Study.com; SparkNotes).
Plato famously argues that 'cities will have no rest from evils' until political power and philosophy coincide in the same person. These rulers are chosen for their superior intellect and love of truth rather than personal ambition (Internet Encyclopedia of Philosophy; Book 5, 473d).
A metaphor for the process of education, depicting human perception as prisoners in a cave seeing only shadows of reality. The philosopher is one who breaks free to see the 'sun' (the Form of the Good) and must return to lead others (Wikipedia; Book 7).
Plato posits that the human psyche is divided into three parts: Reason (Logistikon), Spirit (Thumos), and Appetite (Epithumetikon). Justice occurs when Reason rules the others (Stanford Encyclopedia of Philosophy).