Hadamard first became involved in politics during his time in Bordeaux. Alfred Dreyfus, a relation of Hadamard's wife, came from Alsace. Born into a Jewish family, Dreyfus embarked on a military career.
Hadamard unang naging kasangkot sa pulitika sa panahon ng kanyang panahon sa Bordeaux. Alfred Dreyfus, isang kamag-anak ng Hadamard ng asawa, dumating mula sa Alsace. Ipinanganak sa isang Hudyo pamilya, Dreyfus embarked sa isang militar karera.