A braking system for a vehicle may include a hydraulic brake pedal system having a master cylinder having at least one pressure chamber, from which a hydraulic output is coupled to at least one brake circuit via an infeed switch valve. The master cylinder is coupled to a reservoir via at least one opening via a hydraulic connection. A failure of a pressure chamber seal of the at least one pressure chamber of the master cylinder is safeguarded by at least one redundancy, and the failure of the pressure chamber seal or the redundancy of the pressure chamber seal of the at least one pressure chamber of the master cylinder can be diagnosed.