Then it becomes a choice of accepting the VNM axioms or proposition 3 above.
Like I said, I agree that we should reject 3, but the reason for rejecting 3 is not because it is based on intuition (or based on a non-fundamental intuition). The reason is because it’s a less plausible intuition relative to others. For example, one of the VNM axioms is transitivity: if A is preferable to B, and B is preferable to C, then A is preferable to C.
That’s just much more plausible than the Yitz’s suggestion that we shouldn’t be “vulnerable to adversarial attacks” or whatever.
It’s also worth noting that your justification for accepting expected value theory is not based on the VNM axioms, since you know nothing about them! Your justification is based on a) your own intuition that it seems correct and b) the testimony of the smart people you’ve encountered who say it’s a good decision theory.
Then it becomes a choice of accepting the VNM axioms or proposition 3 above.
Like I said, I agree that we should reject 3, but the reason for rejecting 3 is not because it is based on intuition (or based on a non-fundamental intuition). The reason is because it’s a less plausible intuition relative to others. For example, one of the VNM axioms is transitivity: if A is preferable to B, and B is preferable to C, then A is preferable to C.
That’s just much more plausible than the Yitz’s suggestion that we shouldn’t be “vulnerable to adversarial attacks” or whatever.
It’s also worth noting that your justification for accepting expected value theory is not based on the VNM axioms, since you know nothing about them! Your justification is based on a) your own intuition that it seems correct and b) the testimony of the smart people you’ve encountered who say it’s a good decision theory.
Yes this is exactly what I’m saying