  The semantic paradoxes are associated with self-reference or referential
circularity. However, there are infinitary versions of the paradoxes, such as
Yablo's paradox, that do not involve this form of circularity. It remains an
open question what relations of reference between collections of sentences
afford the structure necessary for paradoxicality -- these are the so-called
"dangerous" directed graphs. Building on Rabern, et. al (2013) we reformulate
this problem in terms of fixed points of certain functions, thereby boiling it
down to get a purely mathematical problem.
