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My understanding of "if not otherwise" is as follows, please correct me if there is an error. I will play basketball if kim is there if not otherwise. The "if not" refers to the negative sufficient that was stated earlier "/me playing basketball" and "otherwise" refers to the negative of the necessary condition stated earlier "/kim being there". So, we get "play basketball --> Kim there" and "/play basketball --> /Kim there" which is the contrapositive of "Kim there --> play basketball", creating a bi-conditional.
Tiger: Not all birds are harmless. After all, cassowaries are dangerous birds that kill numerous humans every year.
Disney: Book club members have access to books that have yet to be released. Book club members that have paid there annual fees can access these book before release. All other members must submit a lengthy explanation as to why they can't pay their fees. Andy has never paid for his membership. He must have written a lengthy explanation for why he can't pay.
Detective: The bed is a mess and the pillow has been chewed with its contents everywhere. The dog is in the corner with pillow contents on its fur. My hypothesis is that the dog chewed through the pillow and made a mess of the bed.
Not a majority of New Yorkers ride the train.