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Socrates explains the concept of the divided line from "summary" of The Republic by Plato,Henry Desmond Pritchard Lee,Melissa Lane

Socrates further elaborates on the concept of the divided line to help Glaucon understand the progression of philosophical understanding. He explains that the line is divided into two main sections: the visible realm and the intelligible realm. The visible realm includes shadows, reflections, and physical objects, while the intelligible realm consists of mathematical forms and abstract concepts. Within the visible realm, there are shadows and reflections which represent illusions and opinions. These are the lowest forms of knowledge, as they are not based on truth but on sensory perception. Moving up the line, physical objects represent belief, which is a higher form of knowledge than mere opinion but is still not grounded in absolute truth. On the other side of the line, in the intelligible realm, mathematical forms represent understa...
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    The Republic

    Plato

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