If I believe that my belief in something causes it to be true, then I believe it. At least, I tell myself that Lob’s theorem can be applied in this way when its convenient for me.
The problem statement seems to also indicate that if you believe the box to be empty, it will be empty. By the same argument, you’ll believe the box to be empty. But you can’t have it both ways.
If I believe that my belief in something causes it to be true, then I believe it. At least, I tell myself that Lob’s theorem can be applied in this way when its convenient for me.
The problem statement seems to also indicate that if you believe the box to be empty, it will be empty. By the same argument, you’ll believe the box to be empty. But you can’t have it both ways.
Your brain != peano arithmetic.