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Hyperuniverse Project and Maximality 1st ed. 2018 [Kõva köide]

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  • Formaat: Hardback, 265 pages, kõrgus x laius: 235x155 mm, kaal: 704 g, 11 Illustrations, black and white; XI, 265 p. 11 illus., 1 Hardback
  • Ilmumisaeg: 07-Feb-2018
  • Kirjastus: Birkhauser Verlag AG
  • ISBN-10: 3319629344
  • ISBN-13: 9783319629346
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  • Formaat: Hardback, 265 pages, kõrgus x laius: 235x155 mm, kaal: 704 g, 11 Illustrations, black and white; XI, 265 p. 11 illus., 1 Hardback
  • Ilmumisaeg: 07-Feb-2018
  • Kirjastus: Birkhauser Verlag AG
  • ISBN-10: 3319629344
  • ISBN-13: 9783319629346
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
Class Forcing in Class Theory
1(16)
Carolin Antos
Hyperclass Forcing in Morse-Kelley Class Theory
17(30)
Carolin Antos
Sy-David Friedman
Multiverse Conceptions in Set Theory
47(28)
Carolin Antos
Sy-David Friedman
Radek Honzik
Claudio Ternullo
Evidence for Set-Theoretic Truth and the Hyperuniverse Programme
75(34)
Sy-David Friedman
On the Set-Generic Multiverse
109(16)
Sy-David Friedman
Sakae" Fuchino
Hiroshi Sakai
On Strong Forms of Reflection in Set Theory
125(10)
Sy-David Friedman
Radek Honzik
Definability of Satisfaction in Outer Models
135(26)
Sy-David Friedman
Radek Honzik
The Search for New Axioms in the Hyperuniverse Programme
161(24)
Sy-David Friedman
Claudio Ternullo
Explaining Maximality Through the Hyperuniverse Programme
185(20)
Sy-David Friedman
Claudio Ternullo
Large Cardinals and the Continuum Hypothesis
205(22)
Radek Honzik
Godel's Cantorianism
227(32)
Claudio Ternullo
Remarks on Buzaglo's Concept Expansion and Cantor's Transfinite
259
Claudio Ternullo
Professor Sy David Friedman is head of the "Kurt Gödel Research Center for Mathematical Logic", Vienna.