The self-predication assumption in Plato
Plato believes in the existence of Forms—eternal models or exemplars of which objects in our world in time and space are copies, and his Theory of Forms lies at the center of his philosophy. But according to the common wisdom, Plato raised the Third Man objection against his own Theory of Forms in the Parmenides. According to this objection, each Form is supposed to have the very characteristic it is supposed to be (called by the scholars “The Self-Predication Assumption”), and this leads to an infinite regress of each Form (the Third Man Argument). This book defends the view that a mysterious plural phrase at Phaedo 74 shows that the Self-Predication Assumption is both plausible and leads to no infinite regress of Forms. The Self-Predication Assumption in Plato is an essential resource for scholars, specialists, and students with an interest in ancient philosophy and classics.
Apolloni, David, "The self-predication assumption in Plato" (2011). Faculty Bookshelf. 28.