[TOS] Season 3, Episode 10: Plato’s Stepchildren
There are concepts in this episode that I like but the details of the plot involve ridiculous stuff. It’s not an easy episode to watch and take seriously.
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Read more at Memory Alpha
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Notes:

Bones has to help some kind of magic man that cut his leg. No one knew what to do and he got an infection

This lady has Spock guess her age. He guesses 35, but she’s actually 2300 years old. She still gets offended that he didn’t guess 30, when she stopped aging.

Alexander is the only one on the planet who doesn’t have magic powers. Kirk says where he’s from, people aren’t such jerks

They want Bones to stay with them in case someone else get’s a cut. To persuade Bones, they humiliate Kirk and Spock until he agrees. First there is dancing

They figure out the secret to the Platonians powers and give themselves a double dose. But it takes time to start working

Then there’s the first interracial kiss on TV! Well, on American TV anyway…and if you’re only counting kisses between fictional characters…and if you’re not counting Lucy and Ricky. But hey, it’s still something, right? I think it’s kind of lame that the actors didn’t really kiss

After so long of watching this guy humiliate everyone, it was really satisfying to have the tables turned on him.

Aww, but then Kirk is nice to him. After thousands of years of loving Plato, and modeling every aspect of his life after Plato’s ideas, he says some line about power making saints into savages, and he completely changes his mind about everything

Alexander gets to come back to Enterprise with them. So when Kirk left that lady crying on her planet in the last season, he probably just didn’t really like her
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