This analogy not only promote the psyche theory, but also gives metaphysical and epistemological opinion. The imagination represents the shadows and any physical things reflections; belief represents the natural world or the physical things themselves; thought represents the mathematical object, such as geometry and numbers; understanding represents the form, good or higher order of the knowledge. Socrates separates the four segments into two parts, one of them is the visible or sensible world with imagination and belief, another one of them is the intelligible world with thought and understanding. The visible world is knowing with the humans senses, like when you at the library and understand the environment around you by feeling, seeing, hearing and smelling. Socrates says the line of the visible world divided into two different condition of mind. Socrates Describes that one part is made by the reflection and shadows, and in a reflection that you can only see a form of an object, just like when u look in to the water and only sees an unclear image of your face, so this form of information is less reliable. also the visible worlds reality can corresponds to opinion, empirical truth and become.
On the other hand, the intelligible world is not focused on the human senses, it is focused on the knowledge we learned and ability for higher reasoning, in another word is asking what is the truth, for example of when you sit in the class and try to solve a mathematical problem, Socrates used the geometry as a great example. The intelligible worlds reality corresponds to knowledge, necessary truth and