Turing's note on normal numbers

BECHER, VERÓNICA

Alan Turing: His Work and impact. S Barry Cooper and Jan van Leeuwen editors

Elsevier

Año: 2012; p. 110 - 115

"A note on normal numbers" remained unpublished until 1992,  when it was included in the  Collected works of Alan Turing: Pure Mathematics, edited by J.L. Britton, North Holland, pages 117--119, with notes of the editor in pages 263--265.  The original together with a handwritten draft is in Turing's archive in King's College, Cambridge, and a scanned version of them is available on the Web from  http://www.turingarchive.org. Our reconstruction of the proof of Turing's theorem 2 supersedes J.L. Britton's editorial notes on this theorem, where it is asserted that the proof given by Turing is inadequate, and speculated that the theorem could indeed be false.