Henri Dunant, the founder of the Red Cross was so appalled by what he witnessed during the battle of Solferino in 1859 that he thought that something should be done for the victims, regardless of which side they were battling to attempt to alleviate the horrors of the wars by providing medical help to those wounded.
However, I am personally not a big supporter of the organization itself because the structure of its organization is absorbing a large part of those donations rather than them be invested in projects.
I favor smaller organizations such as Médecins Sans Frontières which are just as efficient in providing relief to those that need it in conflict zones.
One thing that disturbs me enormously is the misuse of the red flag that is the adopted flag of the Red Cross. Henri Dunant, as Swiss citizen, chose the mirror image of his national flag (white cross over red background) to represent his neutral organization.