Plato was a student of Socrates, and is the author of numerous dialogues andletters, as well as one of the primary sources available to modern scholars onSocrates’ life.In his defining work,The Republic, Plato reaches the conclusion that a utopiancity is likely impossible because philosophers would refuse to rule and thepeople would refuse to compel them to do so.Aristotle was a student of Plato, the tutor of Alexander the Great, and founderof the Lyceum and Peripatetic School of philosophy in Athens. He wrote on anumber of subjects, including logic, physics, metaphysics, ethics, rhetoric,politics, and botany.Key Termsallegory of the cave: A paradoxical analogy wherein Socrates argues that theinvisible world is the most intelligible, and the visible world is the leastknowable and obscure. Plato has Socrates describe a gathering of peoplewho have lived chained to the wall of a cave all of their lives, facing a blankwall upon which shadows are projected. The shadows are as close as theprisoners get to viewing reality.aporia: In philosophy, a paradox or state of puzzlement; in rhetoric, a usefulexpression of doubt.Socrates: A classical Greek (Athenian) philosopher credited as one of thefounders of Western philosophy. Known for a question-answer style ofexamination.Plato: The student of Socrates and author of The Republic. A philosopher andmathematician in classical Greece.Aristotle: The student of Plato, tutor to Alexander the Great, and founder ofthe Lyceum. A Greek philosopher who wrote on a number of topics, includinglogic, ethics, and metaphysics.Classical Greece saw a flourishing of philosophers, especially in Athens during its Golden Age.Of these philosophers, the most famous are Socrates, Plato, and Aristotle.