The Hyperuniverse Project and Maximality

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 cont...

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Gespeichert in:
Bibliographische Detailangaben
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schlagworte:
Mathematical logic.
Mathematics-Philosophy.
ISBN:9783319629353
Online-Zugang: Volltext
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Inhaltsangabe:
  • 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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