The second postulate of Special Relativity states:
The speed of light in a vacuum is the same for all observers, regardless of their motion relative to the source.
Now imagine the observer that is looking at the light which is traveling away from him in a direction he is looking. In this case, the light should look somewhat like a "dot" to such observer - not really moving at any direction for him. However according to postulate above the light should move at the speed of c (if we are in vacuum to be precise).
What is wrong with this reasoning? Or is it just some kind of exception from the rule?