The Hyperuniverse Project and Maximality
Published on 4. June 2019
Book
Paperback/Softback
XI, 265 pages
978-3-319-87432-6 (ISBN)
Description
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 2015More details
Product info
Previously published in hardcover
Edition
Softcover reprint of the original 1st ed. 2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
11 s/w Abbildungen
XI, 265 p. 11 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
435 gr
ISBN-13
978-3-319-87432-6 (9783319874326)
DOI
10.1007/978-3-319-62935-3
Schweitzer Classification
Other editions
Additional editions
Carolin Antos | Sy-David Friedman | Radek Honzik
The Hyperuniverse Project and Maximality
Book
02/2018
Birkhäuser
€117.69
Shipment within 10-15 days
Persons
Professor Sy David Friedman is head of the "Kurt Gödel Research Center for Mathematical Logic", Vienna.
Content
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.