Many believe that in "supreme emergencies" collectives are granted what the author elsewhere calls "special permissions", permissions to carry out self-defensive acts which would otherwise be morally forbidden. However, there appears to be a continuum between non-emergency, emergency and supreme-emergency situations, which gives rise to the following problem: If special permissions are granted in supreme emergencies, they should apply, mutatis mutandis, to less extreme cases too. If, to save itself from wholesale massacre, a collective is allowed to kill thousands of noncombatants on the side of the aggressor, then to save itself from a less murderous campaign, a collective should be allowed to kill several hundreds of noncombatants, and so on. But this conclusion seems to undermine the most fundamental ideas of just war theory. The purpose of the paper is to discuss possible solutions to this problem (the "continuum problem"). The author contends that a contractarian view of the war convention offers the most attractive solution, though, at the end of the day, he is not sure that it will work.