I'm pretty sure almost all of freqeuntist methods are derivable as from bayes, or close approximations of bayes. Do they have any tool which is radically un-bayesian?
I think the interpretation of probability and what methods to use for inference are two separate debates. There was a really good discussion post on this a while back.
I completely agree with this. It seems to me that we should completely throw away the question of what probability is, and look at which form of inference is optimal.
yea, that's just a wiki entry. And the problems there are much more general than the sort of thing i am imagining. I'm thinking things like, interpretations of dutch book arguments, solutions to grue, optimizing problems, newcomb problems, open decision theory problems, and the like.
Why can't a frequentist say: "Bayesians are conflating probability with subjective degree of belief." ? They were here first after all.
Probability does model frequency, and it does model subjective degree of believe, and this is not a contradiction. Using the copula is the problem, obviously: if subjective degree of believe is not frequency, and probability is frequency, then probability is not subjective degree of belief. Analogously, if subjective degree of believe is not frequency, and probability is subjective degree of belief, then probabil...
Narrowing my interests is probably not an option. The fact that I can practically work on anything and still be a philosopher is one of the things that appeals to me about the field, but maybe that has something to do with why it so rarely done competently :/ My only other option is to work my butt off, but I know that to be a generalist and contribute takes lots of work. I do specialize in what I like to call algorithmic philosophy, and philosophy of mathematics, but that is only because I think they are of great import to my other fields of interest.
So what if anything is the standard lesswrong approach to Nelson Goodman's grue problem? If there is any paradox I could imagine someone posing against LW, I would imagine it would be the Grue problem.
(damn down voters edit): Not that I think it would pose any real threat. Just curious, I'm sure LW has a brilliant solution. And if not it can def be made by assembling the bits of other posts. I would really like to know why this got down voted.
"Minorfalsology" is totally the best word for it.
Being anti-philosophy is something philosophy needs. Not in a boring, the field is dead Rorty sense. In a, these are scientific questions with definite right and wrong answers, kind of way.
I don't think anyone is ever really anti-philosophy; perhaps my imagination is so daft that I can't imagine someone with different tastes. I think philosophy has really frustrated a lot of truth seekers because it was being done poorly. Even in analytic philosophy, only ever so rarely does a tool from analytic philosophy come about that could not be compared to using a ...
Wouldn't the rule be something more like:
((P(H|E) > P(H)) if and only if (P(H) > P(H|~E))) and ((P(H|E) = P(H)) if and only if (P(H) = P(H|~E)))
So, if some statement is evidence of a hypothesis, its negation must be evidence against. And if some statement's truth value is independent of a hypothesis, then so is that statements negation.
This is implied by the expectation of posterior probabilities version. Since P(E) + P(~E) = 1, that means that P(H|E) and P(H|~E) are either equal, or one is greater than P(H) and one is less than. If they were both l...
Hello I am a philosophy student in north Jersey. I'm 20 years old, and am very familiar with LW and the sequences. I've been reading LW now for about a year, and it has completely changed my life. I am very grateful to Eliezer and all of you for letting me have my Bayesian enlightenment at 20. When I first read the twelve virtues my life changed forever. I am definitely one of those that considers the sequences to be one of the most important works i have read, at least as far as having a personal influence.
I want to work on the hard questions of philosop...
I am confused, I thought we were to weight hypotheses by 2^-(kolmogorov(H)) not 2^-length(H). Am I missing something?