Since you didn't mention the type of tiles, I'll assume you're using ceramic or porcelain, and not natural stone.
If 1/2" was positively the goal, I recommend adding 3/8" underlayment grade plywood, then Ditra. This combination will add strength with the plywood and an uncoupling membrane giving you a great worry-free floor.
Your first choice above will also give you a pretty good floor, again if 1/2" is magic. Half inch backer though is not better than 1/4", neither adds any structural strength. Your other choice of installing tile over a second layer of plywood, will get thumbs down with any pro I know.
Jaz |