Why does the speed of light always appear the same even if you are moving at the speed of light?

It is a very difficult concept to wrap your head around because it is entirely counter-intuitive. In fact I may be completely wrong in my answer, so please correct me if that is the case. This is a consequence of relativity- no one observer can claim a special or unique frame of reference. The only thing that is constant is the speed of light. We could say that your ship is stationary relative to the other ship which is why it moves past you. Of course this doesn't entirely capture it because if your ship, moving at the speed of light, sent out a signal at the speed of light, you would still see that signal moving away from you at the speed of light. The key is to remember that all motion is relative based on the observer. The only thing constant is the speed of light.