On Jan 1, 2008 3:43 PM, Yitzchak Gale <[EMAIL PROTECTED]> wrote: > The classical definition of "general recursive function" > refers to functions in Integer -> Integer to begin > with, so there can only be countably many values by > construction.
Except that there are uncountably many (2^Aleph_0) functions in Integer -> Integer. That doesn't change the fact that there are countably many computable functions, as you guys have been saying. But I think you need to refer to the LC or Turing machine definition to get countability. Luke _______________________________________________ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe