But those photons are not lost by the initial reflection. Hence, it would lead you to believe that the same amount of photons hit the mirror and are produced by the reflection. Therefore, twice the amount of light?
Now, this would remotely make more sense if you could see light that wasnt directly hitting your eye, which you cant. Looking at a lit flashlight at an angle, you will not see a beam of light coming out of it, unless there were dust particles in the air.