Omega can say:
“I have predicted you will refuse the $10, and there is $1000,000 in the envelope”.
There is absolutely no problem with that—if you are a refuser (as specified in the hypothetical) and if the envelope does indeed contain $1000,000.
True, he would have to say something else, in the case where the envelope is empty.
Ah, yes, you’re right.
Now I’m not sure if I was correctly interpreting Eliezer’s point or just restating my own.
Omega can say:
“I have predicted you will refuse the $10, and there is $1000,000 in the envelope”.
There is absolutely no problem with that—if you are a refuser (as specified in the hypothetical) and if the envelope does indeed contain $1000,000.
True, he would have to say something else, in the case where the envelope is empty.
Ah, yes, you’re right.
Now I’m not sure if I was correctly interpreting Eliezer’s point or just restating my own.