Induction With and Without Natural Properties: a New Approach to the New Riddle of Induction

Abstract

Drawing on past work, we introduce a new approach to the New Riddle of Induction, showing that the inductive projection of gruesome properties is unreliable under particular ideal conditions that are sufficient for the reliable inductive projection of non-gruesome properties. As an auxiliary to our account, we introduce rules for resolving conflicts between background information and the conclusions of otherwise reliable inductive inferences. Our approach to the New Riddle of Induction is quite permissive in the range of properties it recognizes as suitable for inductive projection, allowing for the inductive projection of highly gerrymandered non-natural properties. However, as an addendum to our discussion of the New Riddle, we show that natural properties do form a more reliable basis for inductive projection in cases where one’s sample is small.