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The Hyperuniverse Project and Maximality

Editors: Antos, C., Friedman, S.-D., Honzik, R., Ternullo, C. (Eds.)

  • First overview of the Hyperuniverse Programme
  •  
  • Illustrates its mathematical content and implications
  •  
  • Provides a robust and convincing philosophical justification for the Hyperuniverse Programme
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  • ISBN 978-3-319-62935-3
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About this book

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

About the authors

Professor Sy David Friedman is head of the "Kurt Gödel Research Center for Mathematical Logic", Vienna.

Table of contents (12 chapters)

Table of contents (12 chapters)
  • Class Forcing in Class Theory

    Pages 1-16

    Antos, Carolin

  • Hyperclass Forcing in Morse-Kelley Class Theory

    Pages 17-46

    Antos, Carolin (et al.)

  • Multiverse Conceptions in Set Theory

    Pages 47-73

    Antos, Carolin (et al.)

  • Evidence for Set-Theoretic Truth and the Hyperuniverse Programme

    Pages 75-107

    Friedman, Sy-David

  • On the Set-Generic Multiverse

    Pages 109-124

    Friedman, Sy-David (et al.)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-319-62935-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-62934-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • ISBN 978-3-319-87432-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Hyperuniverse Project and Maximality
Editors
  • Carolin Antos
  • Sy-David Friedman
  • Radek Honzik
  • Claudio Ternullo
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-62935-3
DOI
10.1007/978-3-319-62935-3
Hardcover ISBN
978-3-319-62934-6
Softcover ISBN
978-3-319-87432-6
Edition Number
1
Number of Pages
XI, 265
Number of Illustrations
11 b/w illustrations
Topics

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