08/14/2007, 10:12 PM
The point is, fractional iteration for reals should be well-defined, so long as we limit the domain and range to reals. We should be able to prove the function exists and can be approximated with arbitrary precision. We might not, however, be able to find a power series which converges if we consider all terms in the series. But this doesn't prevent us from solving tetration regardless.
~ Jay Daniel Fox

