On 6/21/07, Ian Kelly <[EMAIL PROTECTED]> wrote:
What do you mean by "computable natural number"? In the sense meant by "computable real number", all natural numbers are trivially computable. I can envision that a natural number might be called computable if it is the Godel number of a computable function or set, but that's not a usage I'm familiar with.
The busy beaver S() function, for example, is a canonical example of a non-computable function yielding natural numbers. I call these "non-computable natural numbers". -- Taral <[EMAIL PROTECTED]> "Please let me know if there's any further trouble I can give you." -- Unknown