You are allowed to pick five from the list, plus one 'bonus ball' nomination not on the list. Despite my massive reservations about the list, about Prospect magazine (crypto-conservative IMHO) and the general concept of the intellectual, I decided to vote as follows:
Stephen Hawking (why wasn't he on the original list?)
I didn't pick them for being always right but for making ideas that are of world-wide importance accessible and interesting. OK I picked Hobsbawm because he's a commie, but that was the only one.
EDIT - Why isn't Tim Berners-Lee on the list?