CONCEPT
Periagōgē
The “turning around of the whole soul” that Plato describes in the Cave allegory—the conversion toward a different kind of object that no amount of improvement at shadow-prediction can substitute for, and which the language model structurally cannot perform.
In the Cave allegory of
Plato’s Republic, the prisoner who escapes does not acquire more or better shadows. He undergoes a
periagôgê—a turning-around of the whole soul—that reorients him toward a different kind of object entirely: first the fire, then the objects outside the cave, at last the sun itself, the source of all light and being. This conversion is not an upgrade within the same cognitive mode but a change of mode: from opinion oriented toward images to knowledge oriented toward the real. Plato insists that the motion of improvement within a given orientation and the motion of reorientation are categorically different—that no accumulation of shadow-prediction expertise initiates the turn, and that the turn, once initiated, reveals that the shadows were never what the prisoners thought they were. The concept lands on contemporary AI with unusual precision.
Large language models are trained to improve within an orientation: better prediction of the next token from the