2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112827We define weak real mice $\mathcal{M}$ and prove that the boldface pointclass $\boldsymbolΣ_m(\mathcal{M})$ has the scale property assuming only the determinacy of sets of reals in $\mathcal{M}$ when $m$ is the smallest integer $m>0$ such that $\boldsymbolΣ_m(\mathcal{M})$ contains a set of reals not in $\mathcal{M}$. We shall use this development in Part III to obtain scales of minimal complexity in $K(\mathbb{R})$.27 pagesLogic03E15 (Primary); 03E45, 03E60 (Secondary)text