MARC details
| 000 -LEADER |
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04738cam a2200709Ia 4500 |
| 001 - CONTROL NUMBER |
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ocn435767669 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20220713010306.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr mnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
090904s2009 enka ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
N$T |
| Modifying agency |
YDXCP |
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OCLCQ |
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OSU |
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OCLCQ |
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E7B |
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SNK |
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CUY |
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OCLCQ |
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REDDC |
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OCLCQ |
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DEBSZ |
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OCLCQ |
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OCLCF |
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OCLCQ |
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UAB |
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OCLCQ |
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XOS |
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OCLCQ |
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K6U |
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SFB |
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OCLCO |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Canceled or invalid record control number |
014883736 |
| Source |
Uk |
| 019 ## - |
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| -- |
646834498 |
| -- |
712986009 |
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743431750 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780511580680 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0511580681 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780511579110 |
| Qualifying information |
(ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
051157911X |
| Qualifying information |
(ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9780521884396 |
| Qualifying information |
(hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
052188439X |
| Qualifying information |
(hardback) |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
372892590 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)435767669 |
| Canceled/invalid control number |
(OCoLC)646834498 |
| -- |
(OCoLC)712986009 |
| -- |
(OCoLC)743431750 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA9.7 |
| Item number |
.S537 2009eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
016000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
018000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.3 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Simpson, Stephen G. |
| Fuller form of name |
(Stephen George), |
| Dates associated with a name |
1945- |
| 9 (RLIN) |
1437902 |
| 245 10 - TITLE STATEMENT |
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| Title |
Subsystems of second order arithmetic / |
| Statement of responsibility, etc |
Stephen G. Simpson. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cambridge ; |
| -- |
New York : |
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
©2009. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xvi, 444 pages) : |
| Other physical details |
illustrations. |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Perspectives in logic |
| 500 ## - GENERAL NOTE |
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| General note |
"Association for Symbolic Logic." |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 409-424) and index. |
| 588 0# - |
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| -- |
Print version record. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
COVER; HALF-TITLE; SERIES-TITLE; TITLE; COPYRIGHT; CONTENTS; LIST OF TABLES; PREFACE; ACKNOWLEDGMENTS; Chapter I INTRODUCTION; I.1. The Main Question; I.2. Subsystems of Z2; I.3. The System ACA0; I.4. Mathematics within ACA0; I.5. Pi11 -CA0 and Stronger Systems; I.6. Mathematics within Pi11 -CA0; I.7. The System RCA0; I.8. Mathematics within RCA0; I.9. Reverse Mathematics; I.10. The System WKL0; I.11. The System ATR0; I.12. The Main Question, Revisited; I.13. Outline of Chapters II through X; I.14. Conclusions; Part A DEVELOPMENT OF MATHEMATICS WITHIN SUBSYSTEMS OF Z2 |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Chapter II RECURSIVE COMPREHENSIONChapter III ARITHMETICAL COMPREHENSION; Chapter IV WEAK KÖNIG'S LEMMA; Chapter V ARITHMETICAL TRANSFINITE RECURSION; Chapter VI Pi11 COMPREHENSION; Part B MODELS OF SUBSYSTEMS OF Z2; Chapter VII beta-MODELS; Chapter VIII omega-MODELS; Chapter IX NON-omega-MODELS; APPENDIX; Chapter X ADDITIONAL RESULTS; BIBLIOGRAPHY; INDEX |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Predicate calculus. |
| 9 (RLIN) |
1437903 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Calcul des prédicats. |
| 9 (RLIN) |
1437904 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Infinity. |
| Source of heading or term |
bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Logic. |
| Source of heading or term |
bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Predicate calculus. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01075023 |
| 9 (RLIN) |
1437903 |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
Association for Symbolic Logic. |
| 9 (RLIN) |
291456 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Main entry heading |
Simpson, Stephen G. (Stephen George), 1945- |
| Title |
Subsystems of second order arithmetic. |
| Edition |
2nd ed. |
| Place, publisher, and date of publication |
Cambridge ; New York : Cambridge University Press, 2009 |
| International Standard Book Number |
9780521884396 |
| Record control number |
(DLC) 2008052364 |
| -- |
(OCoLC)288374692 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Perspectives in logic. |
| 9 (RLIN) |
291457 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=284320">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=284320</a> |
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EBSCOhost |
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EBSC |
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284320 |
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YBP Library Services |
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YANK |
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3107980 |
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YBP Library Services |
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YANK |
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3093670 |
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YBP Library Services |
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YANK |
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3095130 |
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YBP Library Services |
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YANK |
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3277675 |
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INOPJ |
