MARC details
| 000 -LEADER |
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| fixed length control field |
04185cam a22004213i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn965825348 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726105034.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
161213s2016 xx o 000 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NT |
| Language of cataloging |
eng |
| Description conventions |
rda |
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pn |
| Transcribing agency |
NT |
| Modifying agency |
EBLCP |
| -- |
NT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780191063800 |
| Qualifying information |
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| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA9 |
| Item number |
.A278 2016 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Mancosu, Paolo. |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
Abstraction and Infinity. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
[Place of publication not identified] : |
| Name of publisher, distributor, etc. |
OUP Premium : |
| Date of publication, distribution, etc. |
(c)2016. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Name of publisher, distributor, etc. |
OUP Oxford, |
| Date of publication, distribution, etc. |
(c)2016. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
data file |
| Source |
rda |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographies and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Cover; Abstraction and Infinity; Copyright; Dedication; Contents; Introduction; Abstraction; Infinity; Abstraction and Infinity; Acknowledgements; 1: The mathematical practice of definitions by abstraction from Euclid to Frege (and beyond); 1.1 Introduction; 1.2 Equivalence relations, invariants, and definitions by abstraction; 1.3 Mathematical practice and definitions by abstraction in classical geometry; 1.4 Definitions by abstraction in number theory, number systems, geometry, and set theory during the XIXth century; 1.4.1 Number theory; 1.4.2 Systems of Numbers and abstraction principles |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1.4.3 Complex numbers and geometrical calculus1.4.4 SetTheory; 1.5 Conclusion; 2: The logical and philosophical reflection on definitions by abstraction: From Frege to the Peano school and Russell; 2.1 Frege's Grundlagen, section ; 2.1.1 The Grassmannian influence on Frege: Abstraction principles in geometry; 2.1.2 The proper conceptual order and Frege's criticism of the definition of parallels in terms of directions; 2.1.3 Aprioricity claims for the concept of direction: Schlömilch's Geometrie des Maasses; 2.1.4 The debate over Schlömilch's theory of directions |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
2.2 The logical discussion on definitions by abstraction2.2.1 Peano and his school; 2.2.2 Russell and Couturat; 2.2.3 Padoa on definitions by abstraction and further developments; 2.3 Conclusion; 2.4 Appendix; 3: Measuring the size of infinite collections of natural numbers: Was Cantor's theory of infinite number inevitable?; 3.1 Introduction; 3.2 Paradoxes of the infinite up to the middle ages; 3.3 Galileo and Leibniz; 3.4 Emmanuel Maignan; 3.5 Bolzano and Cantor; 3.6 Contemporary mathematical approaches tomeasuring the size of countably infinite sets |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
3.6.1 Katz's "Sets and their Sizes" (1981)3.6.2 A theory of numerosities; 3.7 Philosophical remarks; 3.7.1 An historiographical lesson; 3.7.2 Gödel's claim that Cantor's theory of size for infinite sets is inevitable; 3.7.3 Generalization, explanation, fruitfulness; 3.8 Conclusion; 4: In good company? On Hume's Principle and the assignment of numbers to infinite concepts; 4.1 Introduction; 4.2 Neo-logicism and Hume's Principle; 4.3 Numerosity functions: Schröder, Peano, and Bolzano; 4.4 A plethora of good abstractions; 4.5 Neo-logicism and Finite Hume's Principle |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
4.6 The 'good company' objection as a generalization of Heck's argument4.7 HP's good companions and the problem of cross-sortal identity; 4.8 Conclusion; 4.9 Appendix 1; 4.10 Appendix 2 ; Bibliography; Name Index |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems. |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| General subdivision |
Philosophy. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Infinite. |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 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&db=nlabk&AN=1435311&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1435311&site=eds-live&custid=s3260518</a> |
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Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
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| VENDOR |
EBSCO |
| Classification part |
QA |
| PUBLICATION YEAR |
2016 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
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NFIC |
| Source of classification or shelving scheme |
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| 994 ## - |
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| -- |
92 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |