The Parmenides is considered the most difficult of the Platonic Dialogues. That is because Parmenides [and a few others; see the Posts] was alert to the Self-Loop, and to which his modern interpreters are conspicuously innocent.
Zeno, the favorite of Parmenides [‘Venerable and Awful’], a pioneer of the logico-mathematical paradox, describes his new treatise to Socrates:
‘It is…a defense of Parmenides against those who make fun of his ideas…this book is a retort against those who assert a Plurality…pays them back in the same coin with something to spare. For it shows that on a thorough examination, their own supposition that there is a Plurality leads to even more absurd consequences than the Hypothesis of ‘The One’.’
‘Not-Two’ is a better term than ‘The One’, more precise, carefully constructed. Shūnyam is better than both. But for now, ‘The One’ will do.
This and all other excerpts from Plato’s Dialogues are from the Hamilton and Cairns, Princeton, ’61 Edition.