Set Theory With A Universal Set
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Author |
: T. E. Forster |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2023 |
ISBN-10 |
: 1383022631 |
ISBN-13 |
: 9781383022636 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Set Theory with a Universal Set by : T. E. Forster
This updated edition offers the reader an introduction to the field, which focuses on Quine's original work. It includes a revised account of the set theories of Church-Oswald and Mitchell, with permutation models and extensions that preserve power sets.
Author |
: Manuel Bremer |
Publisher |
: Walter de Gruyter |
Total Pages |
: 125 |
Release |
: 2013-05-02 |
ISBN-10 |
: 9783110326109 |
ISBN-13 |
: 3110326108 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Universality in Set Theories by : Manuel Bremer
The book discusses the fate of universality and a universal set in several set theories. The book aims at a philosophical study of ontological and conceptual questions around set theory. Set theories are ontologies. They posit sets and claim that these exhibit the essential properties laid down in the set theoretical axioms. Collecting these postulated entities quantified over poses the problem of universality. Is the collection of the set theoretical entities itself a set theoretical entity? What does it mean if it is, and what does it mean if it is not? To answer these questions involves developing a theory of the universal set. We have to ask: Are there different aspects to universality in set theory, which stand in conflict to each other? May inconsistency be the price to pay to circumvent ineffability? And most importantly: How far can axiomatic ontology take us out of the problems around universality?
Author |
: Paul Halmos |
Publisher |
: |
Total Pages |
: 98 |
Release |
: 2019-06 |
ISBN-10 |
: 1950217019 |
ISBN-13 |
: 9781950217014 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Naive Set Theory by : Paul Halmos
Written by a prominent analyst Paul. R. Halmos, this book is the most famous, popular, and widely used textbook in the subject. The book is readable for its conciseness and clear explanation. This emended edition is with completely new typesetting and corrections. Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image. The free PDF file available on the publisher's website www.bowwowpress.org
Author |
: Charles C Pinter |
Publisher |
: Courier Corporation |
Total Pages |
: 259 |
Release |
: 2014-07-23 |
ISBN-10 |
: 9780486497082 |
ISBN-13 |
: 0486497089 |
Rating |
: 4/5 (82 Downloads) |
Synopsis A Book of Set Theory by : Charles C Pinter
"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
Author |
: Alfred North Whitehead |
Publisher |
: |
Total Pages |
: 688 |
Release |
: 1910 |
ISBN-10 |
: UOM:39015002922881 |
ISBN-13 |
: |
Rating |
: 4/5 (81 Downloads) |
Synopsis Principia Mathematica by : Alfred North Whitehead
Author |
: Sean Morris |
Publisher |
: Cambridge University Press |
Total Pages |
: 221 |
Release |
: 2018-12-13 |
ISBN-10 |
: 9781107152502 |
ISBN-13 |
: 110715250X |
Rating |
: 4/5 (02 Downloads) |
Synopsis Quine, New Foundations, and the Philosophy of Set Theory by : Sean Morris
Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.
Author |
: David Lippman |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2012-09-07 |
ISBN-10 |
: 1479276537 |
ISBN-13 |
: 9781479276530 |
Rating |
: 4/5 (37 Downloads) |
Synopsis Math in Society by : David Lippman
Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
Author |
: F. William Lawvere |
Publisher |
: Cambridge University Press |
Total Pages |
: 280 |
Release |
: 2003-01-27 |
ISBN-10 |
: 0521010608 |
ISBN-13 |
: 9780521010603 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Sets for Mathematics by : F. William Lawvere
In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Author |
: M. Randall Holmes |
Publisher |
: |
Total Pages |
: 252 |
Release |
: 1998 |
ISBN-10 |
: UOM:39015043151730 |
ISBN-13 |
: |
Rating |
: 4/5 (30 Downloads) |
Synopsis Elementary Set Theory with a Universal Set by : M. Randall Holmes
Author |
: Ken Levasseur |
Publisher |
: Lulu.com |
Total Pages |
: 574 |
Release |
: 2012-02-25 |
ISBN-10 |
: 9781105559297 |
ISBN-13 |
: 1105559297 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Applied Discrete Structures by : Ken Levasseur
''In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes at Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).''--