It seems to me he was a very quick thinker (relative to other generals of the day) and did not dilly-dally about after a thought occurred to him - that he always took his first hunch and ran with it. He did not fully consider things before embarking on a plan of action. If he got into trouble, which happened a lot, he was able (with no small amount of luck or did he create his own luck?) to get out of it with similar quick thinking. He always had the initiative - always a step ahead of his opponent. If he had considered Logistics more often he would have lost his edge in initiative. He took huge risks - could probably be called foolhardy. It doesn't seem like he feared death as much as his contemporaries or rather he didn't think about it as much. Everyone he faced was always reacting to his moves.
I wonder if he was the kind of person who wouldn't let you finish talking - who'd finish your own sentences for you. In his later years, he definitely seemed an impatient sort of chap .
As for tactics on the battlefield, it seems like the Legion was designed to fight so that anyone could command it effectively. I don't think Caesar was exceptional in this department.
P.S. Hello all, interesting forum. My first post.