The Hyperuniverse Project and Maximality
Author:   Carolin Antos ,  Sy-David Friedman ,  Radek Honzik ,  Claudio Ternullo
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2018
ISBN:  

9783319629346


Pages:   265
Publication Date:   07 February 2018
Format:   Hardback
Availability:   In Print   Availability explained
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The Hyperuniverse Project and Maximality


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Overview

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

Full Product Details

Author:   Carolin Antos ,  Sy-David Friedman ,  Radek Honzik ,  Claudio Ternullo
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2018
Weight:   0.704kg
ISBN:  

9783319629346


ISBN 10:   3319629344
Pages:   265
Publication Date:   07 February 2018
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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Author Information

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

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