The Doctor had managed to walk fairly quickly from the Carnival to the clocktower. He'd been watching his journals and the ridiculousness of Jack and Logan. This was wrong and pointless and they all had much, much better things to be doing with their time.
Coming up the path with his hands in his pockets the Doctor surveyed the scene - three men and two seemingly brimming with testosterone. He knew why Jack was; though, what was up with Logan remained to be seen.
Taking up a spot leaning against a nearby tree the Doctor removed an apple from his pocket and proceeded to have lunch. If they were going to act foolish, it's not like his logic was going to stop them - he'd just have to be there to pick up the pieces. He was, however curious as to how a winner would be decided; if in fact neither of them could die.