Political science is rooted in the Greek 'Polis' (city-state), where politics was central to civic life. Greece was a hub of intellectual enlightenment where many disciplines originated. Ancient Greek political thought was deeply normative, serving as a moral guide for governance. While Greeks were politically conscious, the claim that they were the 'first' to generate knowledge on politics is debated by historians who point to earlier traditions in other civilizations.

In the 'Phaedo', which recounts the final hours of Socrates, he is portrayed as remarkably composed and serene. Rather than fearing death, he engages his followers in a profound philosophical discussion regarding the immortality of the soul. His demeanor reflects his lifelong commitment to reason and virtue, demonstrating that a philosopher who has lived a life of truth has no reason to fear the transition of death.

Ancient Greece is the primary historical example of a civilization organized into independent city-states, known as poleis. Each polis, such as Athens, Corinth, or Sparta, functioned as a sovereign political entity with its own government, laws, and military. This decentralized structure is a defining feature of Greek political history and significantly influenced Western political thought regarding citizenship and civic participation.

The provided answer key identifies Socrates as a student of himself, which is logically inconsistent. Historically, Plato and Xenophon were prominent students of Socrates. The option 'Tyroqents' appears to be a nonsensical term. Given the constraints, we must report the provided key while noting the factual inaccuracy regarding the student-teacher relationship.

Eudoxus of Cnidus was a pivotal figure in ancient Greek mathematics and astronomy. His theory of proportions, as presented in the fifth book of Euclid's Elements, was foundational to Euclidean geometry. Furthermore, his astronomical model of concentric spheres provided a framework that influenced later astronomers, including Ptolemy, who integrated these concepts into his geocentric system. His work bridged the gap between early philosophical inquiry and rigorous mathematical proof.

In the Euthyphro, Socrates engages Euthyphro in a discussion about piety. Euthyphro suggests that sacrifices are a form of honor or gratification for the gods. Socrates challenges this by questioning whether the gods truly benefit from human actions or if they simply enjoy the ritual. This dialogue serves as a critique of traditional Greek religious practices and the anthropomorphic nature of the Olympian gods.

Aristophanes, the famous Athenian comic playwright, was a contemporary of Socrates. He famously satirized Socrates in his play 'The Clouds,' portraying him as a sophist who taught students how to win arguments through deceptive rhetoric. This provides historical evidence of Socrates' presence and reputation in the intellectual life of Athens during the late 5th century BCE.

The 'religion of the citizen' refers to civil religion or the civic cults found in ancient city-states, such as those in ancient Greece. These religions were inextricably linked to the state and the identity of the citizen, where religious rituals served to reinforce social cohesion and loyalty to the polis, rather than focusing on individual salvation or private spiritual experience.

Socrates is famously associated with the belief that the 'unexamined life is not worth living.' He prioritized moral integrity and the pursuit of wisdom over material wealth or social status. His method of questioning, known as the Socratic method, was designed to expose the limitations of human knowledge and encourage individuals to seek deeper, objective truths about justice and virtue.

In Plato's dialogue 'Meno', Socrates engages an uneducated slave boy in a geometric demonstration. He guides the boy through a series of questions to show that the boy can arrive at the correct solution for doubling the area of a square. This experiment is intended to prove that learning is actually a process of recollecting innate knowledge that the soul possessed prior to its incarnation in the body.