An indirect gas cooler is constructed from stacked pairs of plates with fins arranged in between. The stack is arranged in a housing into which the gas flows, flows through the fins, and leaves the housing again. The gas is in thermal exchange with the liquid that flows in the plate pairs and that is introduced into the plate pairs via at least one inlet and is discharged via at least one outlet. A ventilating member is provided in the stack for discharging entrained gases from the liquid. The ventilating member is formed from aligned plate openings which produce a ventilating duct that is hydraulically connected with a liquid space in the stack. The indirect gas cooler can be used to cool compressed charge air for an internal combustion engine.