Re: They teach Latin at Starfleet Academy?
Maybe Latin was just an extracurricular course, that Picard took. After all, he did encourage Wesley in "Samaritan Snare" to study more than Academy had to offer.
PICARD: There is no greater challenge than the study of philosophy.
WESLEY: William James sure won't be on my Starfleet exams.
PICARD: The important things never will be. Anyone can be trained to deal with technology, and the mechanics of piloting a starship.
WESLEY: But Starfleet Academy--
PICARD: It takes more than just that. Open your mind to the past... to history, art, philosophy. And then... this will mean something.
"God runs electromagnetics by wave theory on Monday, Wednesday, and Friday,
and the Devil runs them by quantum theory on Tuesday, Thursday, and
-Sir William Bragg