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Introduction to Axiomatic Set Theory (Graduate Texts in Mathematics)
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eBay-Artikelnr.:397248345533
Artikelmerkmale
- Artikelzustand
- 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
Über dieses Produkt
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
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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