Concepts and aims of functional interpretations: Towards a functional interpretation of constructive set theory

The aim of this article is to give an introduction to functional interpretations of set theory given by the author in Burr (2000a). The first part starts with some general remarks on Godel's functional interpretation with a focus on aspects related to problems that arise in the context of set theory. The second part gives an insight in the techniques needed to perform a functional interpretation of systems of set theory. However, the first part of this article is not intended to be a complete survey of functional interpretations and here we recommend, for example, Avigad and Feferman (1998), Troelstra (1990) and Troelstra (1973).