| Authors |
|
| Abstract |
We explain and explore class-theoretic potentialism---the view that one can always individuate more classes over a set-theoretic universe. We examine some motivations for class-theoretic potentialism, before proving some results concerning the relevant potentialist systems (in particular exhibiting failures of the .2 and .3 axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialist.
|
| Keywords | No keywords specified (fix it) |
| Categories | (categorize this paper) |
| Options |
Mark as duplicate
Export citation
Request removal from index
|
Download options
References found in this work BETA
Sets, Properties, and Unrestricted Quantification.Øystein Linnebo - 2006 - In Gabriel Uzquiano & Agustin Rayo (eds.), Absolute Generality. Oxford University Press.
Citations of this work BETA
No citations found.
Similar books and articles
The Modal Logic of Set-Theoretic Potentialism and the Potentialist Maximality Principles.Joel David Hamkins & Øystein Linnebo - 2022 - Review of Symbolic Logic 15 (1):1-35.
A Recursion-Theoretic Approach to NP.Isabel Oitavem - 2011 - Annals of Pure and Applied Logic 162 (8):661-666.
Response: Education at the Crossroads in the Experience of Potentiality.Suninn Yun - 2016 - Ethics and Education 11 (3):378-383.
Indeterminateness and `The' Universe of Sets: Multiversism, Potentialism, and Pluralism.Neil Barton - forthcoming - In Ali Sadegh Daghighi, Melvin Fitting, Dov Gabbay, Massoud Pourmahdian & Adrian Rezus (eds.), Research Trends in Contemporary Logic (Series: Landscapes in Logic). College Publications.
Hierarchies of Measure-Theoretic Ultrafilters.Michael Benedikt - 1999 - Annals of Pure and Applied Logic 97 (1-3):203-219.
Modern Class Forcing.Carolin Antos & Victoria Gitman - forthcoming - In D. Gabbay M. Fitting (ed.), Research Trends in Contemporary Logic. College Publications.
Multiverse Conceptions in Set Theory.Carolin Antos, Sy-David Friedman, Radek Honzik & Claudio Ternullo - 2015 - Synthese 192 (8):2463-2488.
Set Theory and Structures.Neil Barton & Sy-David Friedman - 2019 - In Deniz Sarikaya, Deborah Kant & Stefania Centrone (eds.), Reflections on the Foundations of Mathematics. Springer Verlag. pp. 223-253.
Finitely Generated Groups Are Universal Among Finitely Generated Structures.Matthew Harrison-Trainor & Meng-Che “Turbo” Ho - 2021 - Annals of Pure and Applied Logic 172 (1):102855.
An Order-Theoretic Account of Some Set-Theoretic Paradoxes.Thomas Forster & Thierry Libert - 2011 - Notre Dame Journal of Formal Logic 52 (1):1-19.
Amalgamation Through Quantifier Elimination for Varieties of Commutative Residuated Lattices.Enrico Marchioni - 2012 - Archive for Mathematical Logic 51 (1-2):15-34.
On Modal Logics of Model-Theoretic Relations.Denis I. Saveliev & Ilya B. Shapirovsky - 2020 - Studia Logica 108 (5):989-1017.
Proof-Theoretic Analysis by Iterated Reflection.Lev D. Beklemishev - 2003 - Archive for Mathematical Logic 42 (6):515-552.
Analytics
Added to PP index
2021-08-03
Total views
125 ( #93,582 of 2,507,887 )
Recent downloads (6 months)
41 ( #21,111 of 2,507,887 )
2021-08-03
Total views
125 ( #93,582 of 2,507,887 )
Recent downloads (6 months)
41 ( #21,111 of 2,507,887 )
How can I increase my downloads?
Downloads
