I am not sure how to define the point, but my way of thinking is that its not the same point. The point never moves, instead it continuously vanishes and a new point is being continuously made next to it.
That way, there really isnt a point that is traveling or moving, its just our perception mistaking it for a point because it looks and move like one.
The thing is that lots of our 'concrete' real world objects have more in common with the later pointer point than with physical reality. Concreteness is a bit of an illusion, it's all wave functions at the bottom.
(Of course, real world objects still can't go faster than light.)
Yeah, exactly this. If you think of it like waving a garden hose back and forth it's very clear why this is flawed logic. Also because of quantization the further away you put the target surface, to try to raise the "speed" of the not actually existing point, the more discontinuous it becomes.
That way, there really isnt a point that is traveling or moving, its just our perception mistaking it for a point because it looks and move like one.