 The general strategy can also be applied to the structural question: for example,  Section 1.2  noted that weak supervenience is compatible with the idea that a utilitarian ethical principle is a fundamental truth in some possible worlds, but is false in others. Strong ethical supervenience, by contrast, is incompatible with this idea. Many philosophers believe that the fundamental ethical principles could not vary contingently in this way, because this would again threaten to entail that some fundamental ethical truths are brute contingencies. If correct, this supports the idea that ethical supervenience is a strong supervenience thesis. On the other hand, assessing whether ethical supervenience is strong or global (or both) might require adjudicating live metaphysical controversies concerning the relationship between strong and global supervenience (for discussion of these controversies, see section 4.3.1 of the entry on  supervenience).