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Re: Paradoxes
As I recall things, since you can't go the speed of light, it's immaterial. However, even if you're going 99.9999% the speed of light, you'll always measure the speed of a beam of light you fire as c. The relativistic time and space effects warp things so that this is the case.
Godel's Incompleteness theorem always amused me, even if it's not actually a paradox. It states that any consistent sytem of rules, etc must contain statements that can't be decided. The classic example from logic being:
This statement is false.
The colloquial version from Mathworld is amusing: "... any formal system that is interesting enough to formulate its own consistency can prove its own consistency if and only if it is inconsistent."
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