On 2010-06-18, Peter Webb <webbfamily@DIESPAMDIEoptusnet.com.au> wrote: > The diagoinal number is clearly computable. There is a very simple algorithm > for generating it, and this algorithm is easily implemented in a Turing > Machine.
Only if you presuppose that the list is initially encoded on the tape of the Turing Machine. No such proviso is made in the definition of computable number: it must start from a blank tape.
The rest of your post is based on your false premise and so snipped.