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Two major lines of interpretation were established by the time of Proclus' Parmenides Commentary in the 5th century, both with prominent followers. As Proclus notes in his 1st book, some readers view the dialog as a logic exercise. Some read P2 as a polemical tour-de-force in which methods of argument derived from Zeno are turned against their originator to show that Zeno's own monistic views lead to absurdities of the very sort he purports to demonstrate against pluralism's champions. Others read the 2nd part at face value, as a demonstration of a logical method that will enable Socrates to avoid the pitfalls in his Form theory exposed by Parmenides in the 1st part of the dialog. In either case, readers of this persuasion view the dialog primarily as a dialectical exercise without positive metaphysical content.
The 2nd major interpretative line identified by Proclus assigns P2 a metaphysical purpose. An early version of this approach, associated with Origen, identifies the topic as the Being of the historical Parmenides, with the consequence that the exclusively negative results of the 1st hypothesis come to be viewed as adding to the pluralistic list of features denied of the singular Being in Parmenides' poem. The tradition of interpretation with which Proclus himself agrees, on the other hand, is that beginning with Plotinus & moving thru Porphyry to lamblichus & Syrianus. As Proclus puts it, commentators of this group take the subject to be "all things that get their reality from the One," which he identifies with the Republic's Good. Keying upon the conclusion at Parmenides 142A that the One can be neither expressed nor conceived, Proclus reads the 1st hypothesis' results as a demonstration of the ineffable transcendence of this Supreme Principle.--Plato's Parmenides & the Dilemma of Participation (edited)