Introduction to Axiomatic Set Theory (Graduate Texts in Mathematics)

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
subject_code
PBC
target_audience
General/trade
is_adult_product
false
edition_number
2
binding
paperback
edition
2nd ed. 1982. Softcover reprint of the original 2nd ed. 1982
series_number
1
MPN
biography
batteries_required
false
manufacturer
Springer
volume
1
Brand
Springer
series_title
Graduate Texts in Mathematics
number_of_items
1
pages
260
genre
Mathematical logic
part_number
biography
publication_date
2011-12-12T00:00:01Z
unspsc_code
55101500
batteries_included
false
ISBN
9781461381709
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Product Identifiers

Publisher
Springer New York
ISBN-10
1461381703
ISBN-13
9781461381709
eBay Product ID (ePID)
203635435

Product Key Features

Number of Pages
X, 246 Pages
Language
English
Publication Name
Introduction to Axiomatic Set Theory
Subject
Logic
Publication Year
2011
Type
Textbook
Author
W. M. Zaring, G. Takeuti
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
13.6 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
Series Volume Number
1
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
1 Introduction.- 2 Language and Logic.- 3 Equality.- 4 Classes.- 5 The Elementary Properties of Classes.- 6 Functions and Relations.- 7 Ordinal Numbers.- 8 Ordinal Arithmetic.- 9 Relational Closure and the Rank Function.- 10 The Axiom of Choice and Cardinal Numbers.- 11 Cofinality, the Generalized Continuum Hypothesis, and Cardinal Arithmetic.- 12 Models.- 13 Absoluteness.- 14 The Fundamental Operations.- 15 The Gödel Model.- 16 Silver Machines.- 17 Applications of Silver Machines.- 18 Introduction to Forcing.- 19 Forcing.- Problem List.- Index of Symbols.
Synopsis
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con- sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high- lighted, and second, the student who wishes to master the subject is com- pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text., In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con­ sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high­ lighted, and second, the student who wishes to master the subject is com­ pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.
LC Classification Number
QA8.9-10.3

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