JohnRM
Don't make me destroy you
Are you kidding? I get paid Box A every week. I'm going for big money!
You could buy more boxes!
Actually, I just remembered something I heard from a lecture on an entirely different subject.
If you quantify the value of the boxes by the probability they have money, you get:
Box A: 100% chance of having $1,000
Box B: 50% chance of having $1,000,000
So, the values of those boxes are:
Box A: $1,000
Box B: $500,000
So using those values, it's obvious that you should take Box B.![]()
How do you work out the 50%?
Box B can only have one of two possibilities, and from the point of view of the human taking the box, it's random. So it's just a 50% chance of having money or not having money.
Well, what criteria determines that they're not equally probable? The only factor that changes this sort of thing is Omega's omniscience. But the human doesn't know what he will choose until he's faced with the choice. How would you quantify Omega's omniscience?How are both options equally probable?
Can I just wander off uninterested in Alien A's stupid mind game? And get on with my life or is option C not allowed?
What the heck kind of physics guy are you? It's a chance to practically apply quantum uncertainty!Can I just wander off uninterested in Alien A's stupid mind game? And get on with my life or is option C not allowed?
Omega could be using quantum universe suicide: split the universe, put the money in box B in one universe, don't do it in the other universe, unmake whichever one turns out wrong.Well, what criteria determines that they're not equally probable? The only factor that changes this sort of thing is Omega's omniscience. But the human doesn't know what he will choose until he's faced with the choice. How would you quantify Omega's omniscience?
Well, it would presumably be what I choose with near 100% certainty. The alien's got me figured out and has already thought my thoughts. This is why I base my decision on something I can probably trust (quantum randomness).Well, what criteria determines that they're not equally probable? The only factor that changes this sort of thing is Omega's omniscience. But the human doesn't know what he will choose until he's faced with the choice. How would you quantify Omega's omniscience?
Why would you do that? If you do that, you get nothing. If you play the alien's game, you get either nothing, $1000, or $1000000, and you are guaranteed at least one box and evidence of the existence of aliens.
Both. Regardless of what box I choose, there's $0 or $1m in the box. So why not take the free $1000?
I don't understand why everyone believes 100 correct out of 100 is relevant, or why choosing just the opaque box is the right choice. The money's THERE or it's NOT regardless of what you choose, it's NOT guaranteed if you just take box B.
You could by waterproof stuff.Good point.I didn't think of that. That said, I'd still go for both boxes, because I don't want to be seen as the type of person who goes into town specifically to buy boxes.
And the twist is that Omega has put a million dollars in box B iff Omega has predicted that you will take only box B.
Omega has been correct on each of 100 observed occasions so far - everyone who took both boxes has found box B empty and received only a thousand dollars; everyone who took only box B has found B containing a million dollars. (We assume that box A vanishes in a puff of smoke if you take only box B; no one else can take box A afterward.)
The directionality of time is irrelevant, actually. Time travel could be impossible and B could still be the best choice. What the failing here is the nature of conciuosness and choice.What makes you believe this (the mono-direction of causality with time)? I thought it was a minority view among physicists these days?