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Hirofumi Yoshikawa (Tokyo Institute of Technology) provided the counter-example and brought  to our attention. We would also like to thank him for useful discussions on the subject. ... Acknowledgements The flaw in our proof was pointed out to us by professor Stewart Shapiro (Department of Philosophy, Ohio State University). ... Theorem 1 is a consequence of the diagonal lemma, and the reader is referred to  for a general treatment of this elegant result and its consequences. ...doi:10.1093/jigpal/jzp030 fatcat:wdy24xfbqzg4lke7ztk45vhdry