Person-affecting views state that (in cases where all else is equal) we’re permitted but not required to create people who would enjoy good lives. In this paper, I present an argument against every possible variety of person-affecting view. The argument is a dilemma over trilemmas. Narrow person-affecting views imply a trilemma in a case that I call ‘Expanded Non-Identity.’ Wide person-affecting views imply a trilemma in a case that I call ‘Two-Shot Non-Identity.’ One plausible practical upshot of my argument is (...) as follows: we individuals and our governments should be doing more to reduce the risk of human extinction this century. (shrink)