2) Suppose action is the derivative of the utility function in some sense. Then you can derive a utility function from the actions taken in various circumstances. If the 'curl' of the function was not 0, then it was wasting effort. If it was, then it was acting as if it had a utility function anyway.
How do you propose to discover the utility function of an agent by observing its actions? You will only ever see a tiny proportion of the possible situations it could be in, and in those situations you will not observe any of the actions it could have made but did not.
Observationally, you can't. But given its source code...
This is part of a weekly reading group on Nick Bostrom's book, Superintelligence. For more information about the group, and an index of posts so far see the announcement post. For the schedule of future topics, see MIRI's reading guide.
Welcome. This week we discuss the ninth section in the reading guide: The orthogonality of intelligence and goals. This corresponds to the first section in Chapter 7, 'The relation between intelligence and motivation'.
This post summarizes the section, and offers a few relevant notes, and ideas for further investigation. Some of my own thoughts and questions for discussion are in the comments.
There is no need to proceed in order through this post, or to look at everything. Feel free to jump straight to the discussion. Where applicable and I remember, page numbers indicate the rough part of the chapter that is most related (not necessarily that the chapter is being cited for the specific claim).
Reading: 'The relation between intelligence and motivation' (p105-8)
Summary
Another view
John Danaher at Philosophical Disquisitions starts a series of posts on Superintelligence with a somewhat critical evaluation of the orthogonality thesis, in the process contributing a nice summary of nearby philosophical debates. Here is an excerpt, entitled 'is the orthogonality thesis plausible?':
Notes
In-depth investigations
If you are particularly interested in these topics, and want to do further research, these are a few plausible directions, some inspired by Luke Muehlhauser's list, which contains many suggestions related to parts of Superintelligence. These projects could be attempted at various levels of depth.
How to proceed
This has been a collection of notes on the chapter. The most important part of the reading group though is discussion, which is in the comments section. I pose some questions for you there, and I invite you to add your own. Please remember that this group contains a variety of levels of expertise: if a line of discussion seems too basic or too incomprehensible, look around for one that suits you better!
Next week, we will talk about instrumentally convergent goals. To prepare, read 'Instrumental convergence' from Chapter 7. The discussion will go live at 6pm Pacific time next Monday November 17. Sign up to be notified here.