Opening book details…
Can I read STUDIES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS VOLUME 75 THE AXIOM OF CHOICE on EtoBox?
STUDIES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS VOLUME 75 THE AXIOM OF CHOICE by [by] Thomas J. Jech is a nonfiction available to read on EtoBox.
What is STUDIES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS VOLUME 75 THE AXIOM OF CHOICE about?
[from the Preface]The book was written in the long Buffalo winter of 1971-72. It is an attempt to show the place of the Axiom of Choice in contemporary mathematics. Most of the material covered in the book deals with independence and relative strength of various weaker versions and consequences of the Axiom of Choice. Also included are some other results that I found relevant to the subject.The selection of the topics and results is fairly comprehensive, nevertheless it is a selection and as such reflects the personal taste of the author. So does the treatment of the subject. The main tool used throughout the text is Cohen’s method of forcing. I tried to use as much similarity between symmetric models of ZF and permutation models of ZFA as possible. The relation between these two methods is described in Chapter 6, where I present the Embedding Theorem (Jech-Sochor) and the Support Theorem (Pincus).Consistency and independence of the Axiom of Choice (due to Godel and Cohen, respectively) are presented in Chapters 3 and 5. Chapter 4 introduces the permutation models (Fraenkel, Mostowski, Specker). Chapters 2 and 10 are devoted to the use of the Axiom of Choice in mathematics. Chapter
Who reads STUDIES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS VOLUME 75 THE AXIOM OF CHOICE?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- [by] Thomas J. Jech
- Publisher
- North-Holland Publishing Company ; American Elsevier
- Published
- 1973
- Language
- EN
- ISBN
- 9780444854018
- Category
- nonfiction
- Subjects
- Computer Science, Mathematics, Logic
