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The Hyperuniverse Project and Maximality

Previously published in hardcover
BuchKartoniert, Paperback
265 Seiten
Englisch
Springererschienen am04.06.2019Softcover reprint of the original 1st ed. 2018
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 2015mehr
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EUR117,69
BuchKartoniert, Paperback
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Produkt

KlappentextThis 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
Details
ISBN/GTIN978-3-319-87432-6
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2019
Erscheinungsdatum04.06.2019
AuflageSoftcover reprint of the original 1st ed. 2018
Seiten265 Seiten
SpracheEnglisch
Gewicht452 g
IllustrationenXI, 265 p. 11 illus.
Artikel-Nr.46131858

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr