I've decided to make Twilight's education a series, since so many people seemed to like the last one.
Celestia is going to teach you a valuable life-lesson one way or another, Twilight--even if she has to "call in the big guns."
EDITION:
After getting some feedback, it seems the comic is not very clear. This is a failure on my part, so, in case anyone cares, I will try to make up for it with some direction.
1) Celestia may or may not be omniscient--this cannot be disproved. Did she know what Twilight had seen in the flask? Did she know that by asking for a demonstration, Twilight would assent to taking the class? If Twilight had given the demonstration, would she have eo ipso learned something about friendship from Pinkie?
2) What is the liquid in the flask? Is it the liquid that conjures Pinkie's image, or is this a result of Pinkie's arcane 4th wall-breaking powers?
3) "Q.E.D." is what logicians and such write at the ends of proofs. It means "As was to be shown."
4) Twilight has looked into the abyss of friendship (a concept of which she is ignorant), and the abyss looked back.
5) The symbols along the wonky-perspective shelves in Twilight's room represent the stages of producing the philosopher's stone (viz. calcination, dissolution, separation, conjunction, putrefaction, congelation, cibation, sublimation, fermentation, exaltation, multiplication, and projection). Does this mean the essence of friendship is analogous to the philosophers stone? Is friendship likewise capable of miraculous things?
The nest comic will not be so complicated. Lesson learned.
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Sta.sh
nice work though!
1 . Seems to be taking place in an alternate setting. More collegiate, less feudal. True to character, Twilight finds the concept of making friends abhorrent, so she tries to science/magic her way out of it. The exact nature of Celestia isn't currently important to the story, and, much like the show, should be left to the reader's imagination. (At least until such time as it does become important.)
2,4 . In stories, potions aren't generally known for being active while they're just sitting there (they usually need to be drunken or otherwise 'excited'), so I naturally assumed the fanon Pinkie fourth wall abilities. This may not even be the Pinkie from her universe.
3 . Couldn't remember what QED meant (though recognized it as a message closer). Considering it was alongside another image of Pinkie winking to the audience, its exact meaning didn't seem important. If someone cares enough, they could just google it.
5 . Spotted all the zodiac symbols, but didn't attach specific importance to them since I wasn't aware of the Philosopher's Stone connection. (Actually, for a minute it made me think this might be a Final Fantasy Tactics crossover.) Considering there's no plot reference made to them, it really shouldn't need to be explained right now. Merely serves as an extra bonus to smart people.
What I'm saying here is that I think you're doing a fine job. And unless I've completely missed the point above, I do not think you have made any serious mistakes.
Still, know your audience. If I'm the only one who got remotely close (or not, as the case may be), then maybe some simplification is in order.