<i>[1] Eventual convergence is likely the strongest convergence property we can guarantee given unbounded partition durations.</i><p>I don't think this is true. Consider the property I call "eventually known consistency", wherein the system can be asked "are all operations performed before time T visible everywhere?", with a "yes"/"maybe" response, where "yes" is guaranteed to eventually be returned after some bounded period of non-partition.<p>Eventually known consistency can be used to get AP (just ask for the data), CP (let T be the current time; spin until ConsistentUpTo(T) returns true; then perform the read), or CA (in the sense that if as long as a partition does not occur, the algorithm for CP provides a response within a bounded time), and is thus strictly stronger than other properties.