The proposition that almost all real-world problems occupy rich domains, or could occupy rich domains so far as we know, due to the degree to which most things in the real world entangle with many other real things.
If playing a real-world game of chess, it's possible to:
- make a move that is especially likely to fool the opponent, given their cognitive psychology
- annoy the opponent
- try to cause a memory error in the opponent
- bribe the opponent with an offer to let them win future games
- bribe the opponent with candy
- drug the opponent
- shoot the opponent
- switch pieces on the game board when the opponent isn't looking
- bribe the referees with money
- sabotage the cameras to make it look like the opponent cheated
- force some poorly designed circuits to behave as a radio so that you can break onto a nearby wireless Internet connection and build a smarter agent on the Internet who will create molecular nanotechnology and optimize the universe to make it look just like you won the chess game
- or accomplish whatever was meant to be accomplished by 'winning the game' via some entirely different path.
Since 'almost all' and 'might be' are not precise, for operational purposes this page's assertion will be taken to be, "Every superintelligence with options more complicated than those of a Zermelo-Fraenkel provability Oracle, should be taken from our subjective perspective to have an at least a 1/3 probability of being cognitively uncontainable."