The aim of the paper is to disclose an ontological setting of possible worlds used by Pavel Cmorej in his papers focused mainly on intensional semantics and its applications. The paper offers a range of attitudes toward possible worlds spanning from radical realism to radical eliminativism. Cmorej’s possible worlds are best understood in terms of moderate realism that sees them as objective abstract entities based on the ontology and principles of combinatorialism. However, combinatorialism doesn’t occur in its standard form because some aspects of abstractionism are present as well.