That's the question. We should consider the overhead cost of knowledge, and the possibility that we will see a logarithmic increase in knowledge instead of a linear one (or, that we will see a linear one given an exponential explosion in resources).
Much depends on how you measure knowledge. If you count "bits of information", that's still growing exponentially. If you count "number of distinctions or predictions you can make in the world", that probably isn't.
There is a critical relationship between GDP and the efficiency of science. Until 1970, the money we put into science increased exponentially. Economic growth comes (I believe) exclusively from advances in science and technology. In 1970, we hit the ceiling; fraction of GDP spent on science had grown exponentially until then, when it suddenly flattened, so that now resources spent on science grows only as fast as GDP grows. This should cause a slower growth of GDP, causing a slower increase in scientific results, etc. IIRC there's a threshold of scientific efficiency below which (theoretically) the area under the curve giving scientific results off to infinity is finite, and another threshold of efficiency above which (theoretically) the curve rises exponentially.
Economic growth comes (I believe) exclusively from advances in science and technology.
Do you really thing that things like Good Governance don't have anything to do with economic growth? Science doesn't help you much if a competitor pays a corrupt official to shut your business down.
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 fifth section in the reading guide: Forms of superintelligence. This corresponds to Chapter 3, on different ways in which an intelligence can be super.
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: Chapter 3 (p52-61)
Summary
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 'intelligence explosion kinetics', a topic at the center of much contemporary debate over the arrival of machine intelligence. To prepare, read Chapter 4, The kinetics of an intelligence explosion (p62-77). The discussion will go live at 6pm Pacific time next Monday 20 October. Sign up to be notified here.