newtron, perhaps I didn't make myself clear.
When I said about cutting a two inch hole in the can with a rotary holesaw, I assumed the reader would surmise that the resulting disc would be removed from the can.
I did not say anything about "poking a hole" in the can.
The difference between cutting a hole in the can and removing the disc and poking a hole in the can should be evident. In the first case, we are removing part of the matter of which the can is composed, whereas in the second scenario, we are not.
Mass is the amount of matter present in a given body. When we remove the disc from the can, we are removing part of the matter of which the can is composed. Ergo, we are decreasing the total mass of the can.
Given that we are working on the assumption that the can is on Earth undergoing conventional gravimetric effects, removing part of the mass in this manner will decrease the weight.
The only circumstance under which tonyted's assertion that "nothing would make the can weigh less, not even a hole" would be true would be if every single particle affected by the making of that hole remained on or in the can. I agree that poking a hole in the can would allow this to happen, but you'll note that tonyted failed to explain that this was the only method and circumstance by which the mass would be unaffected. If tonyted had poking in mind when he thought of the hole formation, he should have said so. After all, holes can be drilled out, cut out with welding equipment etc and in these circumstances, the mass of the can would be affected as I said.