I tried to fit a simpler function to the (logarithm of) factorial function with symbolic regression: http://i.imgur.com/9UJCDxT.png?1 They all seem to fit it fairly well, and they all suggest that 0! should be close to one.
This is hardly rigorous mathematics, but I find it interesting that it should converge to the same prediction, when I gave it no bias that it should be that way.
This is hardly rigorous mathematics, but I find it interesting that it should converge to the same prediction, when I gave it no bias that it should be that way.