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The Hyperuniverse Project and Maximality / edited by Carolin Antos, Sy-David Friedman, Radek Honzik, Claudio Ternullo

1st ed. 2018.
出版者 (Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年 2018
大きさ XI, 265 p. 11 illus : online resource
著者標目 Antos, Carolin editor
Friedman, Sy-David editor
Honzik, Radek editor
Ternullo, Claudio editor
SpringerLink (Online service)
件 名 LCSH:Mathematical logic
LCSH:Mathematics—Philosophy
FREE:Mathematical Logic and Foundations
FREE:Philosophy of Mathematics
一般注記 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
HTTP:URL=https://doi.org/10.1007/978-3-319-62935-3
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Springer eBooks 9783319629353
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データ種別 電子ブック
分 類 LCC:QA8.9-10.3
DC23:511.3
書誌ID 4000119033
ISBN 9783319629353

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