Platonic epistemology is the belief that knowledge is innate, the development (often under the midwife-like guidance of an interrogator) of ideas buried deep in the soul.
Plato drew a sharp distinction between knowledge, which is certain, and mere opinion. Opinions derive from the shifting world of sensation -- knowledge derives from the world of timeless Forms, or essences.
In his best-known dialogue, The Republic, Plato drew an analogy between human sensation and the shadows that pass along the wall of a cave. Mere opinion is the viewing of those shadows by prisoners in the cave, whereas knowledge is an escape from the cave, into the world of the sun and real objects.
That world is composed of Platonic ideas that are imperfectly perceived. Through philosophical inquiry it was possible to look more closely at the ideal forms, and doing so indicates further correct methods of inquiry and conduct.
Platonic idealism is the theory that the substantive reality around us is only a reflection of a higher truth.
Platonism is an ancient school of philosophy, founded by Plato; at the beginning, this school had a physical existence at a site just outside the walls of Athens called the Academy, as well as the intellectual unity of a shared approach to philosophizing.
Platonism is considered to be, in mathematics departments the world over, the predominant philosophy of mathematics, especially regarding the foundations of mathematics.
Platonicepistemology holds that knowledge is innate, so that learning is the development of ideas buried deep in the soul, often under the mid-wife-like guidance of an interrogator.
Plato drew a sharp distinction between knowledge which is certain, and mere opinion which is not certain.
That world is composed of Platonic ideas that are imperfectly perceived.