Abstract
Starting with my (1988) and largely continued by David Ruben’s instructive (2013a), a lively debate has occurred over how one is to analyze the concepts of true succession and membership of a tradition in order to identify the source of the intractability typically found in disputes in which two groups each claim that it, but not its rival, is in the tradition of some earlier group. This debate was initially between myself (2013a, 2013b) and Ruben (2013b, 2013c) but later involved Samuel Lebens (2013a, 2013b), Jonathan Payton (2013a, 2013b), Martin Beckstein (2014a, 2014b) and Ruben (2013d, 2014a, 2014b). The time seems ripe to summarize the main lines of the debate to try to draw some lessons from it as we go along and then indicate possible further lines of inquiry.