The biological and social sciences often generalize causal conclusions from one context or location to others that may differ in some relevant respects, as is illustrated by inferences from animal models to humans or from a pilot study to a broader population. Inferences like these are knownas extrapolations. The question of how and when extrapolation can be legitimate is a fundamental issue for the biological and social sciences that has not received the attention it deserves. In Across the Boundaries, Steel argues that previous accounts of extrapolation are inadequate and proposes abetter approach that is able to answer methodological critiques of extrapolation from animal models to humans. Across the Boundaries develops the thought that knowledge of mechanisms linking cause to effect can serve as a basis for extrapolation. Despite its intuitive appeal, this idea faces several obstacles. Extrapolation is worthwhile only when there are stringent practical or ethical limitations on whatcan be learned about the target (say, human) population by studying it directly. Meanwhile, the mechanisms approach rests on the idea that extrapolation is justified when mechanisms are the same or similar enough. Yet since mechanisms may differ significantly between model and target, it needs to beexplained how the suitability of the model could be established given only very limited information about the target. Moreover, since model and target are rarely alike in all relevant respects, an adequate account of extrapolation must also explain how extrapolation can be legitimate even when somecausally relevant differences are present. Steel explains how his proposal can answer these challenges, illustrates his account with a detailed biological case study, and explores its implications for such traditional philosophy of science topics ceteris paribus laws and reductionism. Finally, he considers whether mechanisms-basedextrapolation can work in social science.