The following draft paper is available by anonymous ftp: ``The emptiness problem for intersection types'' Pawel Urzyczyn Institute of Informatics, Warsaw University Abstract: We prove that it is undecidable whether a given intersection type is non-empty, i.e., whether there exists a closed term of this type. Internet address: 148.81.12.1 Directory: /pub/users/urzy Compressed files: inhabit.ps.Z inhabit.dvi.Z