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Let $\mathcal{H}$ be a hereditary abelian category over a field $k$ withfinite dimensional $\operatorname{Hom}$ and $\operatorname{Ext}$ spaces. It isproved that the bounded derived category $\mathcal{D}^b(\mathcal{H})$ has asilting object iff $\mathcal{H}$ has a tilting object iff$\mathcal{D}^b(\mathcal{H})$ has a simple-minded collection with acyclic$\operatorname{Ext}$-quiver. Along the way, we obtain a new proof for the factthat every presilting object of $\mathcal{D}^b(\mathcal{H})$ is a partialsilting object. We also consider the question of complements forpre-simple-minded collections. In contrast to presilting objects, apre-simple-minded collection $\mathcal{R}$ of $\mathcal{D}^b(\mathcal{H})$ canbe completed into a simple-minded collection iff the$\operatorname{Ext}$-quiver of $\mathcal{R}$ is acyclic.

A reduction approach to silting objects for derived categories of hereditary categories