How to use "otherwise" in a sentence

I don't claim any constitutionality for a rebellion successful or otherwise, so long as that rebellion means in the ordinary sense of the term, what it does mean, namely, wresting justice by violent means

He didn't try to pretend otherwise with himself, no matter what face he had to present to the world

There is no hope otherwise.

Because otherwise people will say that, I ran away - because I felt guilty