The Hyperuniverse Project and Maximality

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

List 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.

About the author

Professor Sy David Friedman is head of the "Kurt Gödel Research Center for Mathematical Logic", Vienna.

Summary

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

Product details

• Assisted by: Carolin Antos (Editor), Sy-Davi Friedman (Editor), Sy-David Friedman (Editor), Radek Honzik (Editor), Radek Honzik et al (Editor), Claudio Ternullo (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 28.02.2018
• EAN: 9783319629346
• ISBN: 978-3-31-962934-6
• No. of pages: 265
• Dimensions: 158 mm x 22 mm x 243 mm
• Weight: 580 g
• Illustrations: XI, 265 p. 11 illus.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Basic principles; C, mathematische Grundlagen, Philosophie der Mathematik, Mathematics and Statistics, Philosophy of Mathematics, Mathematics—Philosophy, Mathematical logic, Mathematical Logic and Foundations, inner model hypothesis