Explore the intricacies of unreachability in the second projective-like hierarchy through this 51-minute conference talk delivered by Derek Levinson at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into advanced mathematical concepts presented as part of the Workshop on "Determinacy, Inner Models and Forcing Axioms" held in June 2024. Gain insights into complex mathematical theories and their applications in the field of set theory and logic. For a comprehensive understanding of the talk's content, refer to the abstract available on the ESI website.