Well, if you think about it logically, the diameter of your wheels (16" 17" 18" 20") has absolutely NOTHING to do with whether the tires will rub or not, it's strictly the dimensions of your TIRES (outside diameter and width) and the OFFSET of the wheels (which determines where those tires will be located horizontally along the "axle" within the wheelwell) that are the only responsible factors...
If you put a larger wheel on your car, your going to put on lower profile tires, to keep the outside diameter of the tire as close as possible to the diameter of stock tires so your speedometer and odometer remain accurate. So no matter if your wheel is 15" or 20", the tire is still going to end up being the same diameter as the stock tire, unless you're purposely putting the wrong size tires on your new rims (which would then require a speedometer adjustment to correct the difference in tire diameter)... now of course, if you mount a wider wheel, then the tire is going to be wider, but it's still basically the overall width of the tire and not the width of the wheel that would be the cause of any rubbing issues or not...
As for offset, most aftermarket wheels already have a proper offset figured into them if they are wider than stock wheels; very few wheel models even give you a choice of different offsets anyway...
I just think some people tend to overlook these facts, worrying about whether replacing the stock 16" wheels with 18" wheels on their car will cause rubbing problems, when in really the wheel diameter has no bearing whatsoever...
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