A Logical Foundation for Potentialist Set Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Logical Foundation for Potentialist Set Theory write by Sharon Berry. This book was released on 2022-02-17. A Logical Foundation for Potentialist Set Theory available in PDF, EPUB and Kindle. 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.
A Logical Foundation for Potentialist Set Theory
A Logical Foundation for Potentialist Set Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Logical Foundation for Potentialist Set Theory write by Sharon Berry. This book was released on 2022-02-17. A Logical Foundation for Potentialist Set Theory available in PDF, EPUB and Kindle. A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.
Foundations of Set Theory
Foundations of Set Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Set Theory write by Abraham Adolf Fraenkel. This book was released on 1958. Foundations of Set Theory available in PDF, EPUB and Kindle.
Set Theory
Set Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Set Theory write by Kenneth Kunen. This book was released on 2006. Set Theory available in PDF, EPUB and Kindle. "Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory" -- Provided by publisher.
The Joy of Sets
The Joy of Sets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Joy of Sets write by Keith Devlin. This book was released on 1994-06-24. The Joy of Sets available in PDF, EPUB and Kindle. This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.
