I think the specific phrases "aren't I" and "am I not" are a bit troublesome. Most examples I can think of carry comedic overtones, indicating the speaker thinks too much of themselves or is pretending too. OTOH, "Am I not qualified?" doesn't necessarily have that connotation.
The examples given in the article (Aren’t you going to the movies tonight? No, we’re having a dinner party, so we aren’t going to the movies. John and Kelsey are going, aren’t they?) are a good representation of how aren't is used as a normal part of the language. In these sentences, you could make them more formal but still normal by not using the contraction: Are you not going to the movies tonight? No, we’re having a dinner party, so we are not going to the movies. John and Kelsey are going, are they not?
They do have a place in normal speech - an example might be, "I hear you're having a party. Aren't I invited?". You might also say, "Am I not invited?" there as well. But I agree with Dilbert, that "am I not" in particular is often used for comic or pathetic effect.
dancelover: Finished Madhu, thru the film he is working on today!
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