His entrance of the arrival was made the same day.

First of all, Zorn's Lemma implies that every uncountable antichain in T is contained in a maximal uncountable antichain. So it suffices to make sure that T has no maximal uncountable antichains.

Were the missing crewmen kippered by a squid?

It has been argued that because an object is epistemologically dependent on an observer, it is also physically dependent on that observer.