You may well not run into any problem if you confine yourself to programs that play well without a page file. It is hard to imagine you are going to go over 12 gig of memory with a couple of programs open, so maybe the system will not crash. On the other hand, if you are not exhausting your physical memory, it is hard to see why having a page file available to Windows will reduce your performance. And if there is no noticeable improvement in performance, why would you muck about with a system Windows or an application is expecting to be available?
One clear example of a problem is the ability to capture a crash dump. The page file usually holds the current state of the system, which permits that information to be recovered in the event of a system crash.
http://lifehacker.com/5426041/understanding-the-windows-pagefile-and-why-you-shouldnt-disable-it