A switchable magnet device comprising at least one magnet package which can be moved between an interaction position and a release position, wherein the magnet device is configured such that the at least one magnet package, when moving between the interaction position and the release position, at least in portions, performs a pivot movement about a pivot axis. An actuation device is also provided, which can be coupled to the at least one magnet package to move the at least one magnet package between the interaction position and the release position. In order to easily lift the magnet from the formwork support in a small working space, the magnet device is configured such that the at least one actuation device, at least in portions and at least temporarily during the pivot movement of the at least one magnet package, performs a linear movement in a linear movement direction.