I agree- it depends on what exactly Omega is doing. I can’t/haven’t tried to formalize this, this is more of a normative claim, but I imagine a vibes-based approach is to add a set of current beliefs about logic/maths or an external oracle to the inputs of FDT (or somehow find beliefs about maths into GPT-2), and in the situation where the input is “digit #3
3 of pi is odd” and FDT knows the digit is not adversarially selected, it knows it might currently be in the process of determining its outputs for a world that doesn’t exist/won’t happen.
What exactly Omega is doing maybe changes the point at which you stop updating (i.e., maybe Omega edits all of your memory so you remember that pi has always started with 3.15 and makes everything that would normally causes you to believe that 2+2=4 cause you to believe that 2+2=3), but I imagine for the simple case of being told “if the digit #3
3 of pi is even, if I predicted that you’d give me $1 if it’s odd, I’d give you $10^100. Let me look it up now (I’ve not accessed it before!). It’s… 5”, you are updatefull up to the moment when Omega says what the digit is because this is where the divergence starts; and you simply pay.
I agree- it depends on what exactly Omega is doing. I can’t/haven’t tried to formalize this, this is more of a normative claim, but I imagine a vibes-based approach is to add a set of current beliefs about logic/maths or an external oracle to the inputs of FDT (or somehow find beliefs about maths into GPT-2), and in the situation where the input is “digit #3
What exactly Omega is doing maybe changes the point at which you stop updating (i.e., maybe Omega edits all of your memory so you remember that pi has always started with 3.15 and makes everything that would normally causes you to believe that 2+2=4 cause you to believe that 2+2=3), but I imagine for the simple case of being told “if the digit #3