This article deals both with greatly extended finite life and with immortality and uses the term ‘greatly extended life’ to cover both. Except where indicated, it proceeds from some assumptions adapted from Christine Overall. First, people would know the life expectancy in their society or would know (or at least have good reason to believe) that they were immortal. Second, everyone would have the opportunity to choose greatly extended life. Third, greatly extended life would not be mandatory; people would be able to opt out at any point.