Final answer:
The League of Nations aimed to maintain world peace and promote cooperation through collective security and the establishment of the World Court.
Step-by-step explanation:
The two main goals of the League of Nations were to maintain world peace and to promote cooperation among countries. The League aimed to achieve these through collective security and dispute resolution. The principle of collective security was central to the League's mission, meaning that an attack on one member would be viewed as an attack on all, necessitating a collective response.
Additionally, the World Court was established to mediate disputes between nations, preventing conflicts from escalating into war.