It has been super interesting to read all your contributions to lukeprog's post; this 'paradox' is no doubt interesting, because there seemed to be a shared gut reaction as to something wrong about the above formulation. I have stumbled across this page with the exact dilemma as lukeprog while reading Peterson's Introduction to Decision Theory book (2nd edition). As you have all pointed out, it would seem that there is something inherently fishy about his formulation of this particular example of 'Rival Formalisations'.
I think if you follow the logic of the initial axioms he uses in the book, this example that he provides does not follow. To give you some context, he... (read 516 more words →)
It has been super interesting to read all your contributions to lukeprog's post; this 'paradox' is no doubt interesting, because there seemed to be a shared gut reaction as to something wrong about the above formulation. I have stumbled across this page with the exact dilemma as lukeprog while reading Peterson's Introduction to Decision Theory book (2nd edition). As you have all pointed out, it would seem that there is something inherently fishy about his formulation of this particular example of 'Rival Formalisations'.
I think if you follow the logic of the initial axioms he uses in the book, this example that he provides does not follow. To give you some context, he... (read 516 more words →)