Insane Troll Logic / My Little Pony: Friendship Is Magic

• In "Applebuck Season", a sleep-deprived Applejack uses this to justify all the ways she mishears Pinkie Pie's list of ingredients for the muffins they're making.
  Pinkie Pie: A cup of flour...
  Applejack: "A cup o' sour?" Well, lemons are sure sour...
• In "Feeling Pinkie Keen", Twilight initially dismisses Pinkie Pie's mysterious pinkie sense twitches that can predict the future as nonsensical coincidences, setting out to find out the explanation. After several ill-fated attempts, injuries, and surviving a Hydra at Froggy Bottom Bogg, Twilight throws in the towel on trying to figure out Pinkie sense:
  Twilight Sparkle: Ooh... I give up..
  Spike: Give what up, Twi?
  Twilight: The fight. I can't fight it anymore. I don't understand how, why, or what, but Pinkie Sense somehow... makes sense. I don't see how it does, but it just does. Just because I don't understand doesn't mean it's not true.
  Pinkie Pie: You mean, you believe?
  Twilight [defeatedly]: Yup, I guess I do.
  Pinkie: Oo-woo-oo-oo-oo, woo-oo-oo-oo-oh, woo-oo-oo-oo-oo-oo-ooh. Ooh! [gasp] That was it. That's the doozy.
  Twilight: What? What is?
  Pinkie: You believing. I never expected that to happen. That was the doozy, oh and oh, what a doozy of a doozy it was! La-la-la-la-la...
• Twilight Sparkle, while normally logical and calculating, has fallen to this a few times, most notably when she's trying to impress Princess Celestia. In "Lesson Zero," Twilight is about to miss sending the princess her weekly letter. Twilight responds that if she misses one assignment, the princess will think Twilight is not taking her studies seriously, and give her a test. If Twilight fails the test, she'll be sent back a grade. But because of how much she failed, she'll be sent to magic kindergarten. Therefore, missing any assignment will cause Twilight to go back to kindergarten.
• In "MMMystery on the Friendship Express", Pinkie Pie makes wild assumptions that the other three bakers were responsible for eating her cake, skipping the part where you give reasons to your conclusions entirely. Twilight quickly points out that each of her claims were ridiculous.
• Rainbow Dash has had this on occasions. First when Rarity asked her how to make a dress, she wanted her to make it twenty percent cooler. Another instance we have her wanting to choose a pet, and she lists "coolness, awesomeness, and radicalness" as three different categories, and of course she never explains the difference.
• In "Equestria Games", when the torch seemingly lights up on its own, Spike concludes he must have lit it with his mind.
• The following exchange from "Friendship University" has shades of this:
  Neighsay: Ah, yes, how to teach friendship to creatures who will one day use it as a weapon against us.
  Twilight: How could they use friendship as a weapon?!
  Neighsay: You tell me, it's your book.
• My Little Pony: Equestria Girls Digital Series:
  • In "Street Chic", Rarity ropes Applejack, Fluttershy and Rainbow Dash into an outdoor summer fashion show on a very windy and cold autumn day, leaving them freezing. When they beg her for more seasonally appropriate attire, she brushes them off by saying "summer chic is a state of mind!"
  • In "Costume Conundrum", the Sunset Shimmer ending sees Bulk Biceps panic at the sight of Fluttershy in a monster costume, despite the fact that he's at a costume party. That he's hosting. Then the head falls off the costume, exposing Fluttershy underneath (as if her voice didn't give it away) — and he panics harder because he thinks the monster mutated into Fluttershy.