Everyday low prices and free delivery on eligible orders. Explains both the technicalities and the philosophical issues. He is the author of sets 1990, on which the present work draws but which was written for a more specialist readership, and reasons nearest kin 2000. Click download or read online button to get set theory and its philosophy book now. Pdf philosophical introduction to set theory download. Set theory and its philosophy by michael potter 2004, uk. Michael potter is university lecturer in philosophy, and fellow of fitzwilliam college, at cambridge.
Set theory and its philosophy paperback michael potter. This site is like a library, use search box in the widget to get ebook that you want. In set theory and its philosophy, michael potter has given us a wonderful new book. Download michael potter presents a comprehensive new philosophical introduction to set theory. Set theory and its philosophy by michael potter ebook. This chapter investigates ways in which they can be generalized to apply to a very much wider class of ordered sets than the subsets of the basis of this study is the observation that a version of induction can be applied to any ordered set with a property called wellordering.
Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can beoffered for believing it to be true. He has been a fellow of fitzwilliam college since 1989. 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. Unlike potter s earlier book, however, the present book is not primarily aimed at providing an.
Potter offers a thorough account of cardinal and ordinal arithmetic, and the. As it is usual for philosophy and the study of thought, it is usefully carried on via study of historical thinkers and their. Download pdf set theory and its philosophy free online. An approach to the foundations of mathematics that is of relatively recent origin, scottpotter set theory is a collection of nested axiomatic set theories set out by the philosopher michael potter, building on earlier work by the mathematician dana scott and the philosopher george boolos potter 1990, 2004 clarified and simplified the approach of scott 1974, and showed how the. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. I offer a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. Comprehensive treatment of the basics of set theory. Its core is a slightly nonstandard development of axiomatic set theory, starting with the concept of a collection and working up through the axiom of choice and some simple cardinal arithmeticenough to understand the statement and significance of the continuum hypothesis, but not enough to appreciate the singular. What makes the book unique is that it interweaves a careful presentation of the technical.
Set theory and its philosophy faculty of philosophy. He discusses in detail the project of set theoretic reduction, which aims to interpret. Pdf download philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. In this book, michael potter improves on scotts axiomatization in order to provide a highly motivated presentation of set theory as a description of the cumulative hierarchy. Buy set theory and its philosophy by michael potter 9780199269730 from boomerang books, australias online independent bookstore. Zu allows flocks of doves and packs of wolves to be sets. The book offers an account of cardinal and ordinal arithmetic, and the various axiom candidates. Pdf the philosophy of set theory download ebook for free. Download pdf philosophical introduction to set theory. This book presents a philosophical introduction to set theory. Read download set theory and its philosophy pdf pdf download.
Set theory and its philosophy hardcover michael potter. A critical introduction clarendon press, 2004 360 pages 0191556432, 9780191556432 michael potter presents a comprehensive new philosophical introduction to set theory. About the author michael potter is university lecturer in philosophy. Presents a striking and elegantly simple new approach. Set theory and its philosophy download ebook pdf, epub. I believe potter is trying to capture as much as he can of freges original view of sets as logical objects, although he doesnt say this. He discusses in detail the project of set theoretic reduction, which aims to interpret the. Buy set theory and its philosophy by michael potter 9780199270415 from boomerang books, australias online independent bookstore. He spent periods of research leave in the department. Thoroughly revised and updated version of potters 1990 book, sets. In the philosophical part of n n lab we discuss higher category theory and its repercussions in philosophy.
The simple and general principles of induction are powerful tools for proving things about the natural numbers. The philosophy of set theory download ebook pdf, epub. Set theory and its philosophy a critical introduction michael potter. Click download or read online button to get the philosophy of set theory book now.
Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its. Set theory and its philosophy is a key text for philosophy, mathematical logic, and computer science. Michael potter presents a comprehensive new philosophical introduction to set theory. More widely, the future entries on philosophy in nlab should also contain philosophy of mathematics in general, and of logic and foundations in particular. Michael potter is professor of logic in the philosophy faculty at cambridge university. Pdf set theory and its philosophy download full pdf. There is a precedent for this treatment of set theory potter 1990. Set theory and its philosophy by potter, michael ebook. A comprehensive philosophical introduction to set theory. A critical introduction this book presents a philosophical introduction to set theory.
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