I Dream Of Jeannie: Why didn't Jeannie ever say "wouldn't" or "don't", etc.?

Jeannie would never say words in their short form like, "can't" and
"shouldn't" and "aren't".

"Master, I could not do such a thing." (couldn't)
"Is it not a good idea?" (isn't)
"Are you not happy with me?" (aren't)

Ubiquitous...

They're called "contractions"...

Steven L....

The implication was that English was not her native language, and so she
didn't know the use of contractions in English.

Captain Infinity...

Maybe the typewriter in the writer's office had a broken apostrophe key.

**
Captain Infinity

The original "genie" (djinn) from Aladdin's Lamp was Middle Eastern
(probably Syrian). I guess Jeannie was too. (Of course, being a genie,
Jeannie "had power to assume a pleasing shape.")

Barry Margolin...

Neither could Data on ST:TNG. OMG, Jeannie was an android!

I think it's just the writer's way of suggesting that English is not her
native language, she thinks in Persian.

Steven L....

"Persian"? I thought the "Thousand and One Nights" was Syrian.