Plato believed that truth resides on the Sun; unattainable by man. This “Sun” is symbolic for the nonmaterial world of ideals or forms. “Plato makes it clear that the rational part of the soul enables man to attain truth” (Pedro Blas González). In Plato’s famous allegory of the cave, the darkness/ shadiness of the cave is analogous of ignorance and the light is analogous with truth. In other words, the shadow and fire in the beginning of the story is the world of becoming and the outside world and the sun is the world of being.
While Pluto did not believe that man can reveal pure Truth, he did hold math to a very high degree as the form of the transcendent Truth. He believed branches of mathematics such as geometry are not judged by reason but by actual truth. Plato stated that these