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All the rules of war, certainly the GCs, condition our being bound by the rules to our enemy also accepting and being bound by the same rules.
When i read Article 2, i see the following:
Although one of the Powers in conflict may not be a party to the present Convention, the Powers who are parties thereto shall remain bound by it in their mutual relations. They shall furthermore be bound by the Convention in relation to the said Power, if the latter accepts and applies the provisions thereof.
Setting aside the fact that al-Qa'ida is not a "Power," doesn't that indicate that the GCs are not conditioned as you say>