This collection documents the work of the Hyperuniverse Project which is a new approach to set-theoretic truth based on justifiable principles and which leads to the resolution of many questions independent from ZFC.
The contributions give an overview of the program, illustrate its mathematical content and implications, and also discuss its philosophical assumptions. It will thus be of wide appeal among mathematicians and philosophers with an interest in the foundations of set theory.
The Hyperuniverse Project was supported by the John Templeton Foundation from January 2013 until September 2015
Class forcing in Class Theory.- Hyperclass Forcing in Morse-Kelley Class
Theory.- Multiverse conceptions in set theory.- Evidence for set-theoretic
truth and the Hyperuniverse Programme.- On the
set-generic multiverse.- Mathematical Logic Quarterly.- Definability of
satisfaction in outer models.- The search for new axioms in the Hyperuniverse
Programme, in Philosophy of Mathematics: objectivity, cognition and
proof.- Explaining maximality through the Hyperuniverse Programme.
Professor Sy David Friedman is head of the "Kurt Gödel Research Center for Mathematical Logic", Vienna.
