Probe system comprising a housing with a stylus and a base, wherein the housing has a first positioning face (1.1) and the base has a second positioning face (2.1), and the housing and/or the base has a magnet (1.4) such that a magnetic field is produced, wherein the stylus is mounted in a deflectable manner relative to the housing, wherein, upon deflection of the stylus, an electrical signal is able to be trigged by a sensor unit and the base is able to be fastened to a table of a machine tool and the housing with the stylus is able to be placed on the base, wherein the probe system is configured such that the first positioning face (1.1) is able to be arranged opposite the second positioning face (2.1) in a manner offset in a first direction (z), wherein, in this arrangement, the housing and the base are held together by the forces generated by the magnetic field, wherein either - three conical bodies (2.2) are arranged on the first positioning face (1.1), the axes of which are oriented in a parallel manner in the first direction (z) and - six cylindrical bodies (1.2) are arranged on the second positioning face (2.1), the axes of which are oriented orthogonally to the first direction (z), or - three conical bodies (2.2) are arranged on the second positioning face (2.1), the axes of which are oriented in a parallel manner in the first direction (z) and - six cylindrical bodies (1.2) are arranged on the first positioning face (1.1), the axes of which are oriented orthogonally to the first direction (z), wherein the cylindrical bodies (1.2) are able to be brought into contact with the conical bodies (2.2) such that the first and the second positioning face (1.1, 2.1) are able to be assembled relative to one another in a precise and reproducible manner and wherein the probe system is configured such that, after a measurement has been carried out, the housing together with the stylus is removable from a machining space of the machine tool while the base can remain on the table of the machine tool and subsequently the housing with the stylus can be placed back on the base precisely. - three conical bodies (2.2) are arranged on the first positioning face (1.1), the axes of which are oriented in a parallel manner in the first direction (z) and - six cylindrical bodies (1.2) are arranged on the second positioning face (2.1), the axes of which are oriented orthogonally to the first direction (z), or - three conical bodies (2.2) are arranged on the second positioning face (2.1), the axes of which are oriented in a parallel manner in the first direction (z) and - six cylindrical bodies (1.2) are arranged on the first positioning face (1.1), the axes of which are oriented orthogonally to the first direction (z), wherein the cylindrical bodies (1.2) are able to be brought into contact with the conical bodies (2.2) such that the first and the second positioning face (1.1, 2.1) are able to be assembled relative to one another in a precise and reproducible manner and wherein the probe system is configured such that, after a measurement has been carried out, the housing together with the stylus is removable from a machining space of the machine tool while the base can remain on the table of the machine tool and subsequently the housing with the stylus can be placed back on the base precisely.