A wrong statement regarding SR.

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I've had a friend who said this "However, all objects can be considered immovable relative to the speed c, since the speed remains constant relative to all objects and so it seems like all objects remain stationary comparing with this speed."

There's a nagging feeling at the back of my head that this is wrong, but can anyone tell me why? Or is this statement right?
 
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This statement is ambiguous. What does it mean for an object to be stationary with respect to a speed ?
 
That is llike sayiing that you have no money because your money is negligible compared to Bill Gates's.
 
The statement also seems to implicitly assume that velocities add algebraically in SR. They don't, one must use the SR velocity-addition formula.
 
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