 No. For, while the argument establishes the existence of numbers, if it is indeed sound, it leaves their nature unspecified. Hence, it does not prove that numbers exist independently of human (or other) minds. Moreover, since the inferences are intuitionistically valid, anti-realists can accept it. The argument gives Intuitionists who believe numbers are mental constructs just as much as Platonists who believe they are eternal abstract objects a reason to believe numbers exist. 