It is known that, for a finite-dimensional algebra, the poset of two-term silting objects is isomorphic to the poset of functorially finite torsion classes in the module category and to the poset of complete cotorsion classes in the homotopy category of two-term complexes of projectivess. Moreover, this poset is a lattice when it is finite. I will generalise these results to the case of d-term silting objects, in particular, showing that their poset is isomorphic to the poset of positive and functorially finite torsion classes in a truncated version of the derived category and to the poset of complete hereditary cotorsion classes in the homotopy category of d-term complexes of projectives. Moreover, these posets of torsion classes and cotorsion classes will indeed turn out to be lattices. I will also discuss some examples, including type A_n where these lattices are counted by the Fuss-Catalan numbers.