Abstract
The paper analyses the contemporary notion of an extension of apredicate from the perspective of semantics typical for Meinongian logics, andin opposition to the traditional notion of extension. This leads to a discussionof the types of properties that can be predicated about objects as belonging tothe sets of properties ascribed to them, and such that can be predicated aboutthem only ‘externally’. It is also problematic in which sense nonexistentobjects possess the properties ascribed to them. The concluding remarksconcern some issues related to the truth of predications about nonexistentobjects, which is the basic condition to admit them as belonging to theextensions of predicates in the first place