Absolute undecidability and underdetermination


I am currently using this page to share the results of my project on absolute undecidability and underdetermination in mathematics and physics. Below, you will find three pdf files related to this project.

(1) The July 2017 version of my paper on absolute undecidability in mathematics can be found here.

(2) My draft for a paper on underdetermination in physics describes the (in my opinion) quite overwhelming importance these underdetermination effects may have for understanding complex physical systems. Note that this is only a first draft. It is very raw, and it may come through as half (or completely) crazy.

(3) I think the most meaningful way of describing the context of (1) in the way I look at it, is describing how I was led to these results. You will find an attempt at doing this here.

If you have any comments or questions, please contact me at

Arne.Hole@ils.uio.no