  Closed time-like curves naturally appear in a variety of chronology-violating
space-times. In these space-times, the Principle of Self-Consistency demands an
harmony between local and global affairs that excludes grandfather-like
paradoxes. However, self-existing objects trapped in CTCs are not seemingly
avoided by the standard interpretation of this principle, usually constrained
to a dynamical framework. In this paper we discuss whether we are committed to
accept an ontology with self-existing objects if CTCs actually occur in the
universe. In addition, the epistemological status of the Principle of
Self-Consistency is analyzed and a discussion on the information flux through
CTCs is presented.
