The catastrophic acts of terrorism against the USA in September 2001 clearly demonstrated the limits of the UN's capacity or even abilities of the USA as the only global superpower to ensure international security. Like-minded middle-range powers, among which the Ukraine might be considered, can to a certain degree compensate for what the UN, the USA and Russia lack, and thereby make a contribution towards stabilizing the world security situation. Ukraine's disarmament experience can serve as a positive example for the world today.