Many of the "onlies" in the final scenes of this episode were the children of Star Trek's cast and crew. They included William Shatner's two young daughters, Leslie and Lisabeth Shatner. See more...
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Character mistake: In the sickbay near the end, Diana Muldaur got her line wrong, resulting in this contradictory dialogue: Kirk: "He'll die. But that's what you want, isn't it?" Miranda: "That's a lie!" Kirk: "Oh yes it is - you want him to die." Miranda's line was supposed to be, "That's not true," with Kirk's "Yes it is" contradicting her. As it stands, she claims it's a lie, and Kirk replies "Yes it is."
Factual error: The Enterprise accidentally travels a short distance outside the galaxy and can't find its way back. But they'd have to travel for months to get so far outside the Milky Way that they couldn't, well, just turn around in the void and see it. Our galaxy is huge. 100,000 light years across. Very huge. And that barrier may surround the galaxy, but even it is big, pink and visible.