For 10 points, name these statements that lead to scientific contradictions, examples of which include Russell's and the twin one, a consequence of special relativity.
One idea of this type can be formally stated by commuting time reversal and ensemble average operators on the equation of motion for a single particle. Another statement of this kind is commonly treated by introducing a term proportional to the logarithm of the particle number factorial, which corresponds to distinguishability of mixing particles. In addition to those named for Loschmidt and Gibbs, one of these says that a set cannot be a member of itself. For 10 points, name these statements that lead to scientific contradictions, examples of which include Russell's and the twin one, a consequence of special relativity.
One idea of this type can be formally stated by commuting time reversal and ensemble average operators on the equation of motion for a single particle.
paradoxes