Set Theory and its Philosophy - 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 and its Philosophy write by Michael Potter. This book was released on 2004-01-15. Set Theory and its Philosophy available in PDF, EPUB and Kindle. Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
The Philosophy of Set Theory
The Philosophy 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 The Philosophy of Set Theory write by Mary Tiles. This book was released on 2012-03-08. The Philosophy of Set Theory available in PDF, EPUB and Kindle. DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div
Defending the Axioms
Defending the Axioms - 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 Defending the Axioms write by Penelope Maddy. This book was released on 2011-01-27. Defending the Axioms available in PDF, EPUB and Kindle. Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.
Philosophical Introduction to Set Theory
Philosophical Introduction to 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 Philosophical Introduction to Set Theory write by Stephen Pollard. This book was released on 2015-07-15. Philosophical Introduction to Set Theory available in PDF, EPUB and Kindle. This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.
Quine, New Foundations, and the Philosophy of Set Theory
Quine, New Foundations, and the Philosophy 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 Quine, New Foundations, and the Philosophy of Set Theory write by Sean Morris. This book was released on 2018-12-13. Quine, New Foundations, and the Philosophy of Set Theory available in PDF, EPUB and Kindle. Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.
