Depending on the author, and the level of complexity of the analysis, some parse Parmenides’ case into four objections, some five, and some six. For the sake of limiting the difficulty of this post, I’ll be taking the four objection approach, clustering the minor ones in where they make sense. I’ll go through each of Parmenides’ objections as they occur in the course of the dialogue, and considering whether he’s sufficiently refuted Socrates.
In this installment of the series on Plato's Forms, we'll have a brief look at the major conceptions of the theory, some of the key differences, and dig deep into the one formulation Plato seems to have favored the most. For those of you looking for a thorough discussion of Parmenides' refutations, you'll have to wait until the last installment. In keeping with the principle of the first post, the idea here is to just try to understand the theory itself, and the problem it was trying to solve, before we make any move to object to it.