A Logical Foundation for Potentialist Set Theory

Sharon Berry

doi:10.1017/9781108992756

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register
Cited by 10
Cited by
- 10
Crossref Citations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Himelright, Jack 2023. Applied Mathematics without Numbers. Philosophia Mathematica, Vol. 31, Issue. 2, p. 147.

CrossRef

Google Scholar

Çevik, Ahmet 2023. Hierarchical Multiverse of Sets. Notre Dame Journal of Formal Logic, Vol. 64, Issue. 4,

CrossRef

Google Scholar

Sutto, Davide 2024. A Taxonomy for Set-Theoretic Potentialism. Philosophia Mathematica,

CrossRef

Google Scholar

Berry, Sharon 2024. Potentialist set theory and the nominalist’s dilemma. The Philosophical Quarterly,

CrossRef

Google Scholar

Himelright, Jack 2025. Reassessing the Explanatory Indispensability Argument: A Bayesian Defense of Nominalism. The British Journal for the Philosophy of Science,

CrossRef

Google Scholar

Laan, Boaz D 2025. How Should We Understand the Modal Potentialist’s Modality?. Philosophia Mathematica, Vol. 33, Issue. 2, p. 242.

CrossRef

Google Scholar

Berry, Sharon 2025. Explanatory indispensability and the set theoretic multiverse. Synthese, Vol. 205, Issue. 6,

CrossRef

Google Scholar

Roberts, Alexander 2025. Necessity in the Highest Degree. Journal of Philosophical Logic, Vol. 54, Issue. 1, p. 51.

CrossRef

Google Scholar

Berry, Sharon 2025. The Palgrave Companion to the Philosophy of Set Theory. p. 205.

CrossRef

Google Scholar

Trueman, Robert and Thunder, Simon 2025. Manyism as mereologicism. Synthese, Vol. 206, Issue. 2,

CrossRef

Google Scholar

Sharon Berry, Ashoka University, India

Publisher:: Cambridge University Press
Online publication date:: February 2022
Print publication year:: 2022
Online ISBN:: 9781108992756
DOI:: https://doi.org/10.1017/9781108992756

Subjects:: Mathematics, Logic, Categories and Sets, Philosophy of Science, Philosophy

US$32.99

Digital access for individuals
(PDF download and/or read online)
Add to cart

Added to cart

Digital access for individuals
(PDF download and/or read online)
View cart
Export citation
Buy a print copy

Information

Contents

Metrics

Accessibility

In many ways set theory lies at the heart of modern mathematics, and it does powerful work both philosophical and mathematical – as a foundation for the subject. However, certain philosophical problems raise serious doubts about our acceptance of the axioms of set theory. In a detailed and original reassessment of these axioms, Sharon Berry uses a potentialist (as opposed to actualist) approach to develop a unified determinate conception of set-theoretic truth that vindicates many of our intuitive expectations regarding set theory. Berry further defends her approach against a number of possible objections, and she shows how a notion of logical possibility that is useful in formulating Potentialist set theory connects in important ways with philosophy of language, metametaphysics and philosophy of science. Her book will appeal to readers with interests in the philosophy of set theory, modal logic, and the role of mathematics in the sciences.

Finalist, 2023 PROSE Philosophy Award, Association of American Publishers

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

References

Metrics

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

A Logical Foundation for Potentialist Set Theory

Book description

Awards

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown