"Tim Little" <firstname.lastname@example.org> wrote in message news:email@example.com... > On 2010-06-18, Peter Webb <webbfamily@DIESPAMDIEoptusnet.com.au> wrote: >> The computable Reals cannot be listed. > > False. > > >> Maybe your definition needs a little work? > > No maybe about it, your definition of "listable" needs work. > > > - Tim
Give me a list of all computable Reals.
I will use Cantor's diagonal argument to explicitly construct a Real which isn't on the list. This is diagonal number clearly computable, as there is an explicit construction for it. All I have to do is change the nth digit of the nth number on the list, a very easy computation.