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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.




Interesting! What software is that?


It's Eureqa: http://www.nutonian.com/products/eureqa/ which is fantastic for what it does.




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