While the strong three-valued logic of Kleene and the Logic of Paradox have long held a prominent place in the landscape of non-classical logics, the last decade has seen a resurgence of interest in related logics, including the Paraconsistent Weak Kleene logic (PWK) and Strict-Tolerant logics. These logics put their own twist on the idea of three truth values and accordingly they have varied philosophical readings and applications. Among other things, they represent logics of partial information, logics of nonsense, and logics of variable inclusion. Algebraic and proof-theoretic methods have successfully been brought to bear on these logics, but much remains to be explored. The aim of the workshop is to bring together researchers working on these various facets of logics related to the strong and weak Kleene systems, be they algebraic, proof-theoretic, or philosophical.