If you had a machine with infinite CPU power and infinite RAM you could _evolve_ an AI. Greg Egan wrote a great story about that: http://ttapress.com/553/crystal-nights-by-greg-egan/
Someone tries it, with mixed results.
Someone tries it, with mixed results.
Flip the switch and you'll have real intelligence (as opposed to our lazy Approximate Intelligence) just in time for the immediate heat death of the universe.