Higher-Order Evidence
This chapter discusses higher-order evidence, i.e. evidence directly about the propriety of having some first-order belief. The mainstream position on higher-order evidence is that it can rationally require changes to first-order beliefs. In particular, it is irrational to both believe something, and think that belief is improper in some or other way. The usual argument for this rests on intuitions about cases. I argue that we haven’t considered enough cases, and that there are cases where level-crossing principles give the wrong answer. In particular, the literature has ignored cases where level-crossing principles implausibly imply we should increase our confidence in target propositions. I reconsider the cases that motivated level-crossing principles, and argue that a careful version of evidentialism can explain them.