by Sam Eisenstat 130 days ago | Abram Demski likes this | link | parent Yeah, the 5 and 10 problem in the post actually can be addressed using provability ideas, in a way that fits in pretty natually with logical induction. The motivation here is to work with decision problems where you can’t prove statements $$A = a \to U = u$$ for agent $$A$$, utility function $$U$$, action $$a$$, and utility value $$u$$, at least not with the amount of computing power provided, but you want to use inductive generalizations instead. That isn’t necessary in this example, so it’s more of an illustration. To say a bit more, if you make logical inductors propositionally consistent, similarly to what is done in this post, and make them assign things that have been proven already probability 1, then they will work on the 5 and 10 problem in the post. It would be interesting if there was more of an analogy to explore between the provability oracle setting and the inductive setting, and more ideas could be carried over from modal UDT, but it seems to me that this is a different kind of problem that will require new ideas.

### NEW DISCUSSION POSTS

What does the Law of Logical
 by Alex Appel on Smoking Lesion Steelman III: Revenge of the Tickle... | 0 likes

To quote the straw vulcan:
 by Stuart Armstrong on Hyperreal Brouwer | 0 likes

I intend to cross-post often.
 by Scott Garrabrant on Should I post technical ideas here or on LessWrong... | 1 like

I think technical research
 by Vadim Kosoy on Should I post technical ideas here or on LessWrong... | 2 likes

I am much more likely to miss
 by Abram Demski on Should I post technical ideas here or on LessWrong... | 1 like

Note that the problem with
 by Vadim Kosoy on Open Problems Regarding Counterfactuals: An Introd... | 0 likes

Typos on page 5: *
 by Vadim Kosoy on Open Problems Regarding Counterfactuals: An Introd... | 0 likes

Ah, you're right. So gain
 by Abram Demski on Smoking Lesion Steelman | 0 likes

> Do you have ideas for how
 by Jessica Taylor on Autopoietic systems and difficulty of AGI alignmen... | 0 likes

I think I understand what
 by Wei Dai on Autopoietic systems and difficulty of AGI alignmen... | 0 likes

>You don’t have to solve
 by Wei Dai on Autopoietic systems and difficulty of AGI alignmen... | 0 likes

 by Vadim Kosoy on Delegative Inverse Reinforcement Learning | 0 likes

My confusion is the
 by Tom Everitt on Delegative Inverse Reinforcement Learning | 0 likes

> First of all, it seems to
 by Abram Demski on Smoking Lesion Steelman | 0 likes

> figure out what my values
 by Vladimir Slepnev on Autopoietic systems and difficulty of AGI alignmen... | 0 likes