Error in Turings paper 'On computable numbers, with an application to the Entscheidungsproblem '

From: >parr\(*> (parr_at_btinternet.nospamcom)
Date: 08/17/04


Date: Tue, 17 Aug 2004 20:29:43 +0000 (UTC)

It appears in para 10 Examples of large classes of numbers which are
computable
[Page 256, under theorem (v)]
"
  Owing to this restriction of Dedekind's
  theorem, we cannot say that a computable
  bounded increasing sequence of computable
  numbers has a computable limit. This may
  possibly be understood by considering a
  sequence such as

  -1, -1/2, -1/4, -1/8, -1/16, 1/2, ... .
"

--
)>==shockHORROR(º>   Parr