If you going fast enough, it will seem to you that you traveled faster than light.
Why would it seem that way?? Relative speed is always symmetrical. If you travel almost at c from an outside observer, the outside observer will travel with almost c from your viewpoint...
That's not necessarily true. Why does relative speed have to be symmetrical? The fact is that if you are traveling near the speed of light your seconds become much longer than a stationary observer. Your meters become much longer than a stationary observer's. Because the basic units you measure speed in are different, there is no reason you must calculate the same value for your speed. This means you would calculate your speed to be faster than the speed of light, while a stationary observer would measure your velocity to be below the speed of light.
(Photons don't seem to have infinite mass, because they have no rest mass. Zero times infinity gives you the mass of the photon, which is why photons can have differing masses.)
Uhm what?
Photons have a mass dependent on their frequency. DreamThorn is probably trying to explain the seeming contradiction: 1) As objects accelerate to the speed of light their mass increases multiplicatively towards infinity 2) photons move at the speed of light, but have
finite mass. This is explained by setting the rest mass of the photon to "0". Well not really 0 per se, but instead an appropriate limit that is effectively 0 at rest, but cancels the infinity at the speed of light to give the correct value of mass for the photon.