In Ali Sadegh Daghighi, Melvin Fitting, Dov Gabbay, Massoud Pourmahdian & Adrian Rezus (eds.), Research Trends in Contemporary Logic (Series: Landscapes in Logic). College Publications (forthcoming)

Authors
Neil Barton
University of Konstanz
Abstract
In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I separate out four different strands of the debate, namely: (i) Universism, (ii) Multiversism, (iii) Potentialism, and (iv) Pluralism. I discuss standard arguments and counterarguments concerning the positions and some of the natural mathematical programmes that are suggested by the various views.
Keywords set theory  continuum hypothesis  foundations of mathematics  multiverse
Categories No categories specified
(categorize this paper)
Buy the book Find it on Amazon.com
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Maddy On The Multiverse.Claudio Ternullo - 2019 - In Deniz Sarikaya, Deborah Kant & Stefania Centrone (eds.), Reflections on the Foundations of Mathematics. Berlin: Springer Verlag. pp. 43-78.
Richness and Reflection.Neil Barton - 2016 - Philosophia Mathematica 24 (3):330-359.
The Set-Theoretic Multiverse.Joel David Hamkins - 2012 - Review of Symbolic Logic 5 (3):416-449.
The Level I Multiverse Is Not the Same as the Level III Multiverse.Alan McKenzie - 2017 - NSPIRE-HEP, High Energy Physics (HEP) Database, CERN Online Publications, EUROPE.
A Naturalistic Justification of the Generic Multiverse with a Core.Matteo de Ceglie - 2018 - Contributions of the Austrian Ludwig Wittgenstein Society 26:34-36.
Is the Dream Solution of the Continuum Hypothesis Attainable?Joel David Hamkins - 2015 - Notre Dame Journal of Formal Logic 56 (1):135-145.

Analytics

Added to PP index
2020-04-10

Total views
348 ( #23,350 of 2,425,463 )

Recent downloads (6 months)
187 ( #2,702 of 2,425,463 )

How can I increase my downloads?

Downloads

My notes