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Maximality Principles in the Hyperuniverse Programme

Friedman, Sy-David and Ternullo, Claudio (2020) Maximality Principles in the Hyperuniverse Programme. Foundations of Science. ISSN 1233-1821

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Abstract

In recent years, one of the main thrusts of set-theoretic research has been the investigation of maximality principles for V, the universe of sets. The Hyperuniverse Programme (HP) has formulated several maximality principles, which express the maximality of V both in height and width. The paper provides an overview of the principles which have been investigated so far in the programme, as well as of the logical and model-theoretic tools which are needed to formulate them mathematically, and also briefly shows how optimal principles,
among those available, may be selected in a justifiable way.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Friedman, Sy-David
Ternullo, Claudio0000-0002-1294-0687
Keywords: Set theory   Universe of sets   Maximality principles   Hyperuniverse   New axioms
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics
Depositing User: Dr. Claudio Ternullo
Date Deposited: 29 Jul 2021 18:12
Last Modified: 29 Jul 2021 18:12
Item ID: 19380
Journal or Publication Title: Foundations of Science
Official URL: http://doi.org/10.1007/s10699-020-09707-8
DOI or Unique Handle: https://doi.org/10.1007/s10699-020-09707-8
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics
Date: September 2020
ISSN: 1233-1821
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/19380

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