Allegory of the cave
Plato's allegory of the cave is an allegory presented by the Greek philosopher Plato in his work Republic to compare "the effect of education (παιδεία) and the lack of it on our nature". It is written as a dialogue between Plato's brother Glaucon and his mentor Socrates and is narrated by the latter. The allegory is presented after the analogy of the Sun (508b–509c) and the analogy of the divided line (509d–511e). In the allegory, Plato describes people who have spent their lives chained in a cave facing a blank wall. They watch shadows projected onto the wall by objects passing in front of a fire behind them, and they give names to these shadows. The shadows are the prisoners' reality but not accurate representations of the real world. The shadows represent the fragment of reality we can perceive through our senses, while the objects under the sun represent the true forms of objects that we can only perceive through reason. Three higher levels exist: natural science; deductive mathematics, geometry, and logic; and the theory of forms. Socrates explains how the philosopher is like a prisoner freed from the cave and comes to understand that the shadows on the wall are not the direct source of the images seen. A philosopher aims to understand and perceive the higher levels of reality. However, the other inmates of the cave do not even desire to leave their prison, for they know no better life. Socrates remarks that this allegory can be paired with previous writings, namely the analogy of the Sun and the analogy of the divided line.
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