On the separation of regularity properties of the reals

We present a model where ω ₁ is inaccessible by reals, Silver measurability holds for all sets but Miller and Lebesgue measurability fail for some sets. This contributes to a line of research started by Shelah in the 1980s and more recently continued by Schrittesser and Friedman (see 7]), regarding the separation of different notions of regularity properties of the real line.