Equivalents of the Axiom of Choice
Author: Herman Rubin
Publisher: Elsevier
Published: 1963
Total Pages: 159
ISBN-13: 0444533990
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Equivalents of the Axiom of Choice, II
Author: H. Rubin
Publisher: Elsevier
Published: 1985-03-01
Total Pages: 354
ISBN-13: 0080887651
DOWNLOAD EBOOKThis monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.
Axiom of Choice
Author: Horst Herrlich
Publisher: Springer
Published: 2006-07-21
Total Pages: 207
ISBN-13: 3540342680
DOWNLOAD EBOOKAC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
The Axiom of Choice
Author: Thomas J. Jech
Publisher: Courier Corporation
Published: 2008-01-01
Total Pages: 226
ISBN-13: 0486466248
DOWNLOAD EBOOKComprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
Set Theory and Its Philosophy
Author: Michael D. Potter
Publisher: Clarendon Press
Published: 2004
Total Pages: 345
ISBN-13: 9780199269730
DOWNLOAD EBOOKA wonderful new book ... Potter has written the best philosophical introduction to set theory on the market - Timothy Bays, Notre Dame Philosophical Reviews.
Axiomatic Set Theory
Author: Patrick Suppes
Publisher: Courier Corporation
Published: 2012-05-04
Total Pages: 290
ISBN-13: 0486136876
DOWNLOAD EBOOKGeared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Naive Set Theory
Author: Paul Halmos
Publisher:
Published: 2019-06
Total Pages: 98
ISBN-13: 9781950217014
DOWNLOAD EBOOKWritten 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
A Set Theory Workbook
Author: Iain Adamson
Publisher: Springer Science & Business Media
Published: 2012-09-10
Total Pages: 145
ISBN-13: 0817681388
DOWNLOAD EBOOKThis book is a companion to A general topology workbook published by Birkhiiuser last year. In an ideal world the order of publication would have been reversed, for the notation and some of the results of the present book are used in the topology book and on the other hand (the reader may be assured) no topology is used here. Both books share the word Workbook in their titles. They are based on the principle that for at least some branches of mathematics a good way for a student to learn is to be presented with a clear statement of the definitions of the terms with which the subject is concerned and then to be faced with a collection of problems involving the terms just defined. In adopting this approach with my Dundee students of set theory and general topology I found it best not to differentiate too precisely between simple illustrative examples, easy exercises and results which in conventional textbooks would be labelled as Theorems.
Handbook of the Economics of Risk and Uncertainty
Author: Mark Machina
Publisher: Newnes
Published: 2013-11-14
Total Pages: 897
ISBN-13: 0444536868
DOWNLOAD EBOOKThe need to understand the theories and applications of economic and finance risk has been clear to everyone since the financial crisis, and this collection of original essays proffers broad, high-level explanations of risk and uncertainty. The economics of risk and uncertainty is unlike most branches of economics in spanning from the individual decision-maker to the market (and indeed, social decisions), and ranging from purely theoretical analysis through individual experimentation, empirical analysis, and applied and policy decisions. It also has close and sometimes conflicting relationships with theoretical and applied statistics, and psychology. The aim of this volume is to provide an overview of diverse aspects of this field, ranging from classical and foundational work through current developments. - Presents coherent summaries of risk and uncertainty that inform major areas in economics and finance - Divides coverage between theoretical, empirical, and experimental findings - Makes the economics of risk and uncertainty accessible to scholars in fields outside economics
Sets, Models and Proofs
Author: Ieke Moerdijk
Publisher: Springer
Published: 2018-12-06
Total Pages: 141
ISBN-13: 9783319924137
DOWNLOAD EBOOKThis textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several areas of mathematics (algebra, linear algebra and analysis), the book illustrates the relevance and usefulness of logic in the study of these subject areas. The authors start with an exposition of set theory and the axiom of choice as used in everyday mathematics. Proceeding at a gentle pace, they go on to present some of the first important results in model theory, followed by a careful exposition of Gentzen-style natural deduction and a detailed proof of Gödel’s completeness theorem for first-order logic. The book then explores the formal axiom system of Zermelo and Fraenkel before concluding with an extensive list of suggestions for further study. The present volume is primarily aimed at mathematics students who are already familiar with basic analysis, algebra and linear algebra. It contains numerous exercises of varying difficulty and can be used for self-study, though it is ideally suited as a text for a one-semester university course in the second or third year.
