Translation:Aamir does not eat on Monday and Thursday.
In English, "and" and "or" are interchangeable in negative sentences. "I don't like pizza or beer" means "I don't like pizza and beer." Both are correct, but I think "or" is more natural in negative sentences in particular. This comment also applies to Julia (?) who doesn't go to Delhi in January or February—which means January and February. Basically, in English, "or" can mean "and."
I think that 'nor' is the best option (I don't like pizza nor beer), but you are correct that today most people would use 'and'/'or' instead.
Not a mnemonic, but this very interesting Wikipedia page explains their origins. (All the world's languages are here so you have to scroll down a bit to find the South Asia section.)