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How does Plato's myth of the cave explain the difference between appearance and reality?

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Painting by Joseph Aubert of Saint Thomas Aquinas seated with a book, wearing a halo and black and white robes, surrounded by ornate patterns in St. Stephens Church, Jerusalem. — Western philosophy Painting of scholastic philosopher St. Thomas of Aquinas by Joseph Aubert, 1900.

In his myth of the cave, found in Book VII of The Republic, Plato uses an allegory to illustrate the distinction between the world of sensory appearance and the true reality of the Forms.12

The Cave and Appearance

Plato likens ordinary human beings to prisoners chained inside an underground cave, facing a wall. Behind them, a fire casts shadows of various objects onto the wall. Because the prisoners have never seen anything else, they mistake these shadows for reality. This represents the world of sense experience, where humans perceive only "particulars"—imperfect, changing copies of eternal truths that exist in space and time.132

The Ascent to Reality

The philosopher is represented by a prisoner who escapes the cave and ascends into the sunlight. This painful intellectual journey signifies the exercise of reason, which allows one to move beyond deceptive sense experience to apprehend the unchanging, abstract Forms. The Sun, which illuminates the real world, represents the Form of the Good—the ultimate source of truth and intelligibility.213

Ultimately, Plato argues that while most people remain trapped in the realm of appearance, the philosopher alone perceives true reality and conducts their life according to this higher knowledge.3