Hadamard took an active part in clearing Dreyfus's name which finally happened on 22 July 1906, when Dreyfus was reinstated and decorated with the Legion of Honour. Laurent Schwartz wrote (see for example):
Hadamard kinuha ng isang aktibong bahagi sa clearing Dreyfus pangalan na sa wakas nangyari sa 22 Hulyo 1906, kapag Dreyfus ay reinstated at bakbak sa kakapalan ng karangalan. Laurent Schwartz wrote (tingnan ang halimbawa):