It is a truism to state that human evolution is a frighteningly complex subject. It is all too easy to yield to the temptation to construct ever more elaborate 'family trees' even though the fossil record is fragmentary and chronologically inexact. The supposed fate of Neanderthal man (Homo sapiens neanderthalensis) and the origin of modern man (Homo sapim sapim) have recently received a good deal of attention—most of which serves to emphasize the gaps in our knowledge without coming much nearer to a solution. This review presents some of the conflicting arguments which have been put forward, stressing a need to keep an open mind about the possibility of Neanderthal survival.