Awarded a scholarship to Oxford, Williams read Greats (pure Classics followed by Ancient History and philosophy) at Balliol. Among his influences at Oxford were W. S. Watt, Russell Meiggs, R. M. Hare, Elizabeth Anscombe, Eric Dodds, Eduard Fraenkel, David Pears and Gilbert Ryle. He shone in the first part of the course, the pure classics (being particularly fond of writing Latin verses in the style of Ovid) and graduated in 1951 with a congratulatory first in the second part of the course and a prize fellowship at All Souls.