Special Relativity: Ultimate Speed Limit

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Hi,
i'm just revising for my special relativity module and this bothers me:

http://img259.imageshack.us/img259/1482/17053293.jpg

If the spaceship was going at slightly less than c then you would still see a completely different thing on Earth to what you would see on the ship. On earth, it would appear as if the light was moving a little ahead of the ship, whereas on the ship, the light would travel away with speed c. What is more special about the contradiction they derive?

Thanks!
 
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