Paul Ricoeur and Marya Schechtman express grave doubts about the acceptability and informativeness of the thought-experiments employed by analytic philosophers (notably Derek Parfit) in the debate about personal identity, and for what appear to be related reasons. I consider their reasoning and argue that their reasons fail to justify their doubts. I go on to argue that, from this discussion of possible problems concerning select thought-experiments, something positive can be learned about personal identity.