A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is hyperfinite. In this paper we show that this question has a positive answer when the acting group is locally nilpotent. This extends previous results obtained by Gao–Jackson for abelian groups and by Jackson–Kechris–L...

Some scepticism has been voiced over whether the work of John Hughlings Jackson possesses any significant philosophical orientation. This article argues that Hughlings Jackson was acquainted with the work of a wide range of philosophers. In particular, certain aspects of the writings of John Stuart Mill are reflected in Hughlings Jackson's own work. From early in his career, Hughlings Jackson a...