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The Hyperuniverse Project and Maximality
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The Hyperuniverse Project and Maximality
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
The Hyperuniverse Project and Maximality/ edited by Carolin Antos, Sy-David Friedman, Radek Honzik, Claudio Ternullo.
其他作者:
Antos, Carolin.
面頁冊數:
XI, 265 p. 11 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical logic. -
電子資源:
https://doi.org/10.1007/978-3-319-62935-3
ISBN:
9783319629353
The Hyperuniverse Project and Maximality
The Hyperuniverse Project and Maximality
[electronic resource] /edited by Carolin Antos, Sy-David Friedman, Radek Honzik, Claudio Ternullo. - 1st ed. 2018. - XI, 265 p. 11 illus.online resource.
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.
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.
ISBN: 9783319629353
Standard No.: 10.1007/978-3-319-62935-3doiSubjects--Topical Terms:
810627
Mathematical logic.
LC Class. No.: QA8.9-10.3
Dewey Class. No.: 511.3
The Hyperuniverse Project and Maximality
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