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

Preview

Text Maximality Principles in the Hyperuniverse Programme_2020b.pdf Download (977kB) | Preview

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Published Article or Volume
Creators:	Creators Email ORCID Friedman, Sy-David Ternullo, Claudio 0000-0002-1294-0687
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:	10.1007/s10699-020-09707-8
Subjects:	Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics
Date:	September 2020
ISSN:	1233-1821
URI:	https://philsci-archive.pitt.edu/id/eprint/19380

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Altmetric.com

Actions (login required)

View Item