- 250 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
A Logical Foundation for Potentialist Set Theory
About this book
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.
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Information
Topic
PhilosophySubtopic
Philosophy & Ethics in ScienceTable of contents
- Cover
- Half-title page
- Title page
- Copyright page
- Contents
- Acknowledgments
- 1 Introduction
- Part I
- Part II
- Part III
- Appendix A Logico-Structural Potentialism
- Appendix B Notation and Some Example Arguments
- Appendix C Vindication of FOL Inference in Set Theory
- Appendix D Archimedean and Rich Instantiation
- Bibliography
- Index
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Yes, you can access A Logical Foundation for Potentialist Set Theory by Sharon Berry in PDF and/or ePUB format, as well as other popular books in Philosophy & Philosophy & Ethics in Science. We have over one million books available in our catalogue for you to explore.