The present invention relates to a method for the layer-by-layer production of a cured three- dimensional shaped body, wherein the method comprises at least: (i) providing a binder comprising at least the following components: a) monomeric furfuryl alcohol and optionally a resin component comprising at least a furan resin, wherein about 60% by weight to 100% by weight of monomeric furfuryl alcohol, based on the sum of monomeric furfuryl alcohol and resin component are present in the binder, and b) a hardener component selected from methanesulfonic acid, benzenesulfonic acid, and mixtures thereof, (ii) providing a layer of a refractory molding material to provide a molding material layer, (iii) selectively applying a component a) or b) of the binder separately from the refractory molding material to at least a part of the molding material layer, (iv) applying the other component of the binder separately from the component mentioned in step (iii), wherein step (iv) can be carried out before or after step (iii), or step (iv) can be combined with step (ii), and (v) optionally repeating steps (ii), (iii), and (iv) once or several times. Shaped bodies obtainable thereby as well as their use are disclosed as well.