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 | |||||||||
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Keywords: | Set theory Universe of sets Maximality principles Hyperuniverse New axioms | |||||||||
Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics |
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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: | 10.1007/s10699-020-09707-8 | |||||||||
Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics |
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Date: | September 2020 | |||||||||
ISSN: | 1233-1821 | |||||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/19380 |
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