Mon 29 May 2006
The Principal Principle
Posted by Jon Kvanvig under confirmation theory, justification
[11] Comments
David Lewis thought the following is true:
The Principal Principle (PP): Ps(A|Po(A)=x)=x (where Ps is a rational subjective probability, and Po is some objective probability).
Here’s a gloss of this claim, more or less accurate: if you know that the objective probability of A is x, then you should assign degree of belief x to A given that information.
So, first, a confession: I know there’s been considerable discussion of this principle in the literature but I haven’t read as much of it as I should. So there may easy answers here to the things that concern me, and pointing them out in the comments would be useful.
Second, my problem: I think, to go straight to the bottom line, that I may not know how to interpret conditional probability claims.