Trade-offs and the precautionary principle: A lexicographic utility approach.

The precautionary principle is often argued to be irrational because it cannot adequately explain how resources should be distributed across multiple possible catastrophes or between catastrophic and noncatastrophic risks. We address this problem of trade-offs by extending a recently proposed formal interpretation of the precautionary principle (PP) within a lexical utility framework and using it to prove results about which distribution of resources maximizes lexical utility when several catastrophic risks exist, given different assumptions. We also explain how our lexical utility interpretation of PP can recommend balanced distributions of resources between disaster prevention and other concerns.

Norton's material theory of analogy.

In his book, The Material Theory of Induction, Norton argues that the quest for a universal formal theory or 'schema' for analogical inference should be abandoned. In its place, he offers the "material theory of analogy": each analogical inference is "powered" by a local fact of analogy rather than by any formal schema. His minimalist model promises a straightforward, fact-based approach to the evaluation and justification of analogical inferences.