Imagine playing a game of Chess in which the pieces and rules gradually changed bit by bit until by the end of the game you were playing Go. That's much closer to what real life problems are like and a human child could absolutely do that. They might not be much good at it, but they could absolutely do it even without ever having played either game before just learning as they went. Note to AGI researchers, if your chatbot can't cope with that or a problem like it without any forewarning, don't bother applying for a Turning Test with me on the other side of the teletype.