The Hyperuniverse Project and Maximality

• Corporate Author: SpringerLink (Online service)
• Other Authors: Antos, Carolin (Editor, http://id.loc.gov/vocabulary/relators/edt), Friedman, Sy-David (Editor, http://id.loc.gov/vocabulary/relators/edt), Honzik, Radek (Editor, http://id.loc.gov/vocabulary/relators/edt), Ternullo, Claudio (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Subjects: Mathematical logic.; Mathematics-Philosophy.; Mathematical Logic and Foundations.; Philosophy of Mathematics.

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 cont...

Table of Contents:

• 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.