[vlz]

This comment from a previous thread

https://news.ycombinator.com/item?id=27846084

links to a two-part paper called "Believing the axioms", part 1:

https://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms1.pdf

I have only taken a short look and am not qualified to summarize, but it seems this would have an answer if there is one.