The first philosophers were storytellers.
Gather around the fire, and listen to some old guy tell a story about the Gods. Thunder is Zeus' wrath. Athena made the flute, but never played it because it made her look silly. It's an easy way of talking about the world when you don't have the benefits of enlightened science.
Parmenides is the harbringer of a shift in storytelling. Telling a story in which you invent the main characters is a fantasy, and fantasies aren't real. So let's tell a story that might be real.
Perhaps it started with a dream — or a nightmare. Parmenides saught the meaning of "to know", and perhaps such truths are so great that they crush the rational thought right out of the person who finds them. In his dreams he found the Goddess of Truth, who told him of three ways.
- The Way of Truth — This path ends at finding Being, or the "That Which IS" (you can hear the capital letters in the old man's voice). There's only one thing here. No multitude of Gods and Goddesses that bicker and contradict each other can account for the unchanging, objective truth that lies at the end of the Way of Truth.
- The Way of Nothingness — A path that never starts is not really a path at all. It is a black hole; you can only look at it indirectly by finding at That Which IS and ignoring it. There is no knowledge, no thought, nothing here to look at. Move on, nothing to see here.
- The Way of Opinion — Where we all are doomed to wander. There are many things around you; but only one Thing That IS. Everything else is a reflection of that one, shining perfection as it muddles with the black hole. The One, stuck in a house of mirrors, is reflected into The Many. "That Which IS And IS NOT," the man says, looking straight at you, "is all we ever see or hear or touch. What is important (that being, That Which IS) is invisible."
"So, if you haven't caught the drift yet," he says, chuckling, "everything around you is full of lies. Turn away from the lies and seek the Truth."
You ask him why he's talking to you, then.
He vanishes in a puff of logic.
That bastard. His written works have all gone the way of Sappho. That we have anything is due to Aristotle's unhealthy fascination with the guy. Aristotle spent a good deal of time systematically refuting this story of Parmenides' with fancy things like logic and, eventually, metaphysics. But the holy trinity of Greek philosophy — Socrates, Plato, and Aristotle — likely only knew Parmenides from his stories.
I say likely because while the chronology doesn't exclude Socrates and Parmenides having a dialogue, like Plato wrote, keep in mind that Socrates is at least twenty years younger than Parmenides. Also, Parmenides lived in Elea (in southern Italy), whereas Socrates lived in Athens. I doubt the two ever met in person.