Vladimir_Nesov28 July 2010 10:38:29PM* 19 points [-]

So you've deleted the posts you've made in the past. This is harmful for the blog, disrupts the record and makes the comments by other people on those posts unavailable.

For example, consider these posts, and comments on them, that you deleted:

I believe it's against community blog ethics to delete posts in this manner. I'd like them restored.

Vladimir_Nesov28 July 2010 09:14:41PM0 points [-]

The idea is that universal prior is really about observation-predicting algorithms that agents run, and not about prediction of what will happen in the world. So, for any agent that runs a given anticipation-defining algorithm and rewards/punishes the universal prior-based agent according to it, we have an anticipation-computing program that will obtain higher and higher probability in the universal prior-based agent.

This by the way again highlights the distinction between what will actually happen, and what a person anticipates - predictions are about capturing the concept of anticipation, an aspect of how people think, and are not about what in fact can happen.

Vladimir_Nesov28 July 2010 09:09:08PM0 points [-]

What machine???

Vladimir_Nesov28 July 2010 06:26:20PM0 points [-]

I don't believe it's particularly controversial. There is a question of whether humans retain preference about counterfactual worlds, but decision-theoretically, not-updating in the usual sense is strictly superior, because you get to make decisions you otherwise wouldn't be able to.

Vladimir_Nesov28 July 2010 06:20:13PM1 point [-]

Bayesian updating is the wrong thing to do in counterfactual mugging, and the reason TDT goes wrong on that problem is that it updates.

Vladimir_Nesov28 July 2010 06:07:20PM0 points [-]

Pray tell, what is the right thing to update?

Vladimir_Nesov28 July 2010 11:59:05AM1 point [-]

I can't quite place "you need a notion of event, and that is determined by your prior", but I guess the mapping between sample space and possible observations is what you meant.

Vladimir_Nesov28 July 2010 11:42:01AM0 points [-]

Prior evaluates, but it doesn't dictate what is being evaluated. In this case, "events happening" refers to subjective anticipation, which in turn refers to prior, but this connection is far from being straightforward.

Vladimir_Nesov28 July 2010 10:08:24AM* 0 points [-]

But if you fix a language L for your universal prior, then there will be a more powerful metalanguage L' that allows finitely describing some structure, which can't be finitely described in the base language, right? So don't we still have the problem of the universal prior not really being universal?

It can still talk about all structures, but sometimes won't be able to point at a specific structure, only a class containing it. You only need a language expressive enough to describe everything preference refers to, and no more. (This seems to be the correct solution to ontology problem - describe preference as being about mathematical structures (more generally, concepts/theories), and ignore the question of the nature of reality.)

(Clarified the second part of the previous comment a bit.)

Vladimir_Nesov28 July 2010 09:51:22AM* 0 points [-]

Why "new terms"? If the language can finitely express a concept, my scheme gives that concept plausibility. Maybe this could be extended to lengths of programs that generate axioms for a given theory (even enumerable sets of axioms), rather than lengths of individual finite statements, but I guess that can be stated within some logical language just as well.

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