Scientists Invent Scientist
An anonymous reader writes "From the Boston Globe: 'Researchers said yesterday that they have created the world's first robotic scientist, a system that can form theories, devise experiments, and then carry out the experiments almost entirely without human help.' Now, if it could file patents and lawsuits, it would be ready to enter today's world of technology."
Robot Scientist Proves it's worth
But I wore the juice
Godel never showed that you can't come up with proofs any more. (Obviously - people still are proving things, even quite difficult ones like Fermat's Last Theorem.)
His Incompleteness Theorem was more subtle than that: (IIRC) it said that you can't guarantee to either prove or disprove an arbitrary theorem. It might be possible to prove it or disprove it, but in the general case you can't guarantee it.
Think of it in terms of sets: you can quite easily decide that a Dodge Viper should go into the set containing all cars, and that an Athlon XP 2400+ should not. However you can't make a (correct) statement either way about whether the set containing all sets that do not contain themselves should contain itself or not.
Proofs are perfectly possible in certain cases, but thanks to self-referentiality you can't prove everything. You may not even be able to decide whether some statements are provable or not.
I'll mention a book that's been on my must-read list for a while now but I still haven't got round to: Douglas Hofstader's "Godel, Escher, Bach": apparently it's very good at helping to understand such things.
This sentence no verb.
"'I pass the test,' she said. 'I will diminish, and go into the West, and remain Galadriel.'"
- JRR Tolkien.
The fun part is determining how/when these things become legal persons.