| I just read about Newcomb's problem due to your comment. Maybe I'm being stupid but I don't think there's any paradox. Let's change it so that the first box contains only a tiiiiiny little speck of gold and nothing else, and you'll see. For this demonstration, you get to play repeatedly. Let's make you too smart for your own good. You start off with the strategy I think is stupid and wrong. So: each time you play, you select both boxes on the (stupid, wrong) theory that selecting both strictly dominates selecting just one. Of course, each time, there's nothing in the second box because your choice has been predicted. After playing several hundred times and amassing a tiny little mound of gold flakes you think about whether you even know any shops where you can convert it, and you didn't even bring a zip lock bag with you, what are you going to do, go home with golddust in your pockets? You think about the hours of time that you've spent. Finally you wisen up and say fuck it, this time time I'll just select the one box. Since your choice has been predicted, you finally get the million dollars, and you realize you were pretty dumb for wasting several hours on a few specks of gold. You keep playing, selecting just the one box, and keep getting a million dollars each time. After you have more cash than you can drive home, you thank God for all your cash and go home. This proves that the choice is simple and there is no paradox or contradiction. With my approach, do you see any paradox? |