Carolin Antos,
Sy-David Friedman,
Radek Honzik,
Claudio Ternullo
e.a.
Springer International Publishing
e druk, 2019
9783319874326
The Hyperuniverse Project and Maximality
Specificaties
Paperback, blz.
|
Engels
Springer International Publishing |
e druk, 2019
ISBN13: 9783319874326
Rubricering
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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
Specificaties
ISBN13:9783319874326
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Inhoudsopgave
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.