What Bayescraft covers is a matter of tendentious definitions. I personally do not consider decision theory a necessary part of it, though it is certainly part of we’re trying to capture at LessWrong.
I agree. The line between belief and decision is the line between 3 and 4 in that list and it is such a clean line that the von Neumann-Morgenstern axioms can be (and usually are) presented about a frequentist world.
Bayesianism is more than just subjective probability; it is a complete decision theory.
A decent summary is provided by Sven Ove Hansson:
The book this quote is taken from can be downloaded for free here.
What Bayescraft covers is a matter of tendentious definitions. I personally do not consider decision theory a necessary part of it, though it is certainly part of we’re trying to capture at LessWrong.
I agree. The line between belief and decision is the line between 3 and 4 in that list and it is such a clean line that the von Neumann-Morgenstern axioms can be (and usually are) presented about a frequentist world.