I have a large interest in physics; however, my only exposure to special relativity has been through a few books and youtube videos. Because of this I still have a few questions about how special relativity fits into reality. I believe that special relativity says that any observer will see all other observers that are in relative motion to move slower through time. If I see someone moving towards me, then I will see them moving slower through time. But because of the ever shortening distance that their light has to travel to reach me, I will actually see them in fast forward? In the same note, if someone is moving away from you, their time would be slowed by special relativity and by the fact that each light wave has to go farther than the last. So my perceived time of different things is sped up/slowed depending on if the object is heading closer to or farther from me, and all objects in motion then move a few notches slower through time purely based off of their speed relative to me. Is this how these two features overlap? If the person moving toward you had 2 parallel mirrors with a laser shooting between them, would you calculate that laser as moving faster than the speed of light?