"The fox knows many things, but the hedgehog knows one big thing" - Which is?

What a wonderful sentence.

I don’t remember that from Aesop. Aesop does have a fable called The Fox and the Hedgehog but the point of that fable is totally different than the subject of the OP.

The Fox and the Cat
A Fox was boasting to a Cat of its clever devices for escaping its enemies. “I have a whole bag of tricks,” he said, “which contains a hundred ways of escaping my enemies.”
“I have only one,” said the Cat; “but I can generally manage with that.” Just at that moment they heard the cry of a pack of hounds coming towards them, and the Cat immediately scampered up a tree and hid herself in the boughs. “This is my plan,” said the Cat. “What are you going to do?” The Fox thought first of one way, then of another, and while he was debating the hounds came nearer and nearer, and at last the Fox in his confusion was caught up by the hounds and soon killed by the huntsmen. Miss Puss, who had been looking on, said:

"Better one safe way than a hundred on which you cannot reckon."

Incidentally, it’s very unlikely that Berlin learned about Archilochus by reading through all of ancient Greek literature and finding the fragment of his writing where the saying is mentioned. It’s much more likely that he learned the saying by reading it in Erasmus’s collection of sayings or in something that quoted from Erasmus:

Erasmus was a Dutch Renaissance writer who produced a giant collection of sayings drawn from the ancient Romans and Greeks. Like many Renaissance thinkers, he thought that they were the source of all good knowledge. His collection of Greek and Roman sayings was very influential in popularizing many ancient proverbs in modern times.