G. A. Cohen has argued that there is a surprising truth in conservatism—namely, that there is a reason for some valuable things to be preserved, even if they could be replaced with other, more valuable things. This conservative thesis is motivated, Cohen suggests, by our judgments about a range of hypothetical cases. After reconstructing Cohen's conservative thesis, I argue that the relevant judgments about these cases do not favor the conservative thesis over standard, nonconservative axiological views. But I then argue (...) that there is a Mirrored Histories case that is such that, if one shares Cohen's conservative attitude, judgments about this case favor Cohen's conservative thesis over a wide range of non-conservative axiological views. Reflection on this case also suggests a different explanation of apparently conservative judgments that merits consideration in its own right. (shrink)