Roland-
That could be distracting...
The star photo / point source thing is a VERY special case and almost never applies.
Frank-
If you view an object from two distances, one exactly twice the other, 1/4 as much light reaches you from the farther object. That is the inverse square law, right? At the same time, the farther object appears half as high and half as wide as the near one, so 1/4 as much area, and that adds up to the same 4:1 ratio as the amount of light reaching you from them.
So the brightness of the object remains the same, just its area and total photon count from your perspective changes.
Make sense?