In his later work, 'The Laws', Plato proposed that the ideal city-state should consist of exactly 5,040 citizens. This specific number was chosen for its mathematical properties, as it is highly divisible, which Plato believed would facilitate the equitable distribution of land and the efficient organization of administrative and military functions within the state.

Plato, a student of Socrates and teacher of Aristotle, wrote 'The Republic' as a Socratic dialogue. The work explores the nature of justice, the ideal state, and the role of the philosopher-king. It remains one of the most influential texts in the history of political philosophy, setting the stage for Western political thought.

Chronological ordering of these works requires knowledge of publication dates: Plato's 'The Statesman' (c. 360 BCE), Machiavelli's 'The Art of War' (1521), Rousseau's 'Emile' (1762), and Bentham's 'A Fragment on Government' (1776). The sequence provided in option C correctly aligns these historical texts from the ancient period through the Renaissance to the Enlightenment era.

Both Plato and Aristotle viewed the political community (the polis) as an all-encompassing entity. In their thought, the state and society were integrated, as the purpose of the political community was to foster the moral and intellectual development of its citizens, leaving no clear distinction between private social life and public political life.

Plato's Republic maps the three classes of society—producers, warriors, and rulers—to the three parts of the human soul: appetite, spirit, and reason. The producers correspond to appetite, warriors to spirit, and rulers to reason (wisdom). The option 'All of these' is accepted here as it encompasses the various psychological components Plato used to justify his social hierarchy.

The source answer identifies 'Socrates's Republic' as a source, which is historically inaccurate as Plato wrote 'The Republic'. However, the option provided is the intended answer. Plato's Republic and Aristotle's Politics are the actual foundational texts. Plato's work explores justice and the ideal state, while Aristotle's Politics provides a systematic analysis of various constitutions and the nature of the state.

Plato's theory of justice is based on the principle of 'specialization' or 'functionalism.' He argued that justice exists in the state when the three classes—the rulers, the warriors, and the producers—each perform their specific, natural functions. When every individual fulfills their designated role, the society achieves a state of perfect harmony, which Plato identifies as the essence of justice.

The work titled 'Politics' was written by Aristotle, not Plato. Plato is famous for his dialogues such as 'The Republic', 'The Statesman', and 'The Laws', which explore justice, the ideal state, and the nature of governance.

Plato founded the Academy in Athens around 387 BC. It is widely regarded as the first university in the Western world. Plato's influence through this institution shaped the development of Western science, mathematics, and political philosophy. His dialogues, such as 'The Republic', continue to be foundational texts for understanding justice, governance, and the ideal state in political science.

Plato divided the soul into three parts: Reason, Spirit, and Appetite. In his ideal state, the Rulers are governed by Reason, the Soldiers by Spirit, and the Artisans and farmers by the Appetitive soul. The Appetitive soul is associated with the pursuit of material desires and physical needs, which Plato believed was the primary motivation for the producing class in his Republic.