Vaughn, I am not sure either so I won't steer you wrong by posting something I am not absolutely sure about. What I do know though, is that a regualr sheet of say computer paper is roughly .004 of an inch thick. You have the right idea, using paper shims you can get a great idea of how close you are. In your case, you are .008 thousanths off.
When I worked for Lie Nielsen, we often used masking tape (.004) to shim our milling machines to get things just right. You would think that for a 200 dollar plane they would come up with a better system, but sometimes its the simple stuff that works the best.
Just thought I would toss this out there so people can use paper as a feeler guage and shims. Just be sure its regular notebook paper, and not thick photo paper or some other exotic paper.
I have no intention of traveling from birth to the grave in a manicured and well preserved body; but rather I will skid in sideways, totally beat up, completely worn out, utterly exhausted and jump off my tractor and loudly yell, "Wow, this is what it took to feed a nation!"