Here’s a short paper I wrote up on the issues that arose in my (mistaken) post about David Christensen’s paper a few days ago.
bq. “Three Objections to Maher on Continuity”:http://brian.weatherson.org/totmoc.pdf
Patrick Maher’s argument for probabilism turns on a representation theorem. He provides detailed defences for two of the axioms he uses in that theorem, transitivity and independence, but a third axiom, continuity, receives very little defence. And it seems to have many undesirable consequences, three of which I set out in this note.
As always, it’s a first draft, and since in this case it’s a first draft of something fairly technical, I may well have made some mistakes. But I think the objections work, at least if I’ve understood the technical details correctly.