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The Hyperuniverse Project and Maximality
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The Hyperuniverse Project and Maximality

The Hyperuniverse Project and Maximality

Carolin / Friedman Antos

265 pages, parution le 06/02/2018

Résumé

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.

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

Caractéristiques techniques

  PAPIER
Éditeur(s) Birkhauser verlag
Auteur(s) Carolin / Friedman Antos
Parution 06/02/2018
Nb. de pages 265
EAN13 9783319629346

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