Possible-worlds semantics proved itself as a strong tool in analysing the statements of actuality, possibility, contingency, and necessity. But impossible phenomena go beyond the expressive power of the apparatus. The proponents of possible-worlds apparatus thus owe us at least three stories. The first one is the story about ontological nature of possible worlds, the second one is the story about the theoretical role such entities play and the third one is the story about the impossible. Modal Realism (MR) provides us with a positive story regarding the first and the second, but denies impossible worlds. Extended Modal Realism (EMR) adds a positive story about the third point too.