Philosophy of mathematics / (Record no. 36946)
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fixed length control field | 03705nam a22004335i 4500 |
001 - CONTROL NUMBER | |
control field | 20538892 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20200707104607.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | ta |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 200707b2018 gw ||||| |||| 00| 0 eng d |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
LC control number | 2018947914 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783110468304 (alk. paper) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783110468335 (ebk. (pdf) : alk. paper) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783110470772 (ebk. (epub) |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | DLC |
Language of cataloging | eng |
Description conventions | rda |
Transcribing agency | HNU |
042 ## - AUTHENTICATION CODE | |
Authentication code | pcc |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Edition number | 23 |
Placement Code | GC |
Classification number | 510.1 B39 2018 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Beduerftig, Thomas. |
245 10 - TITLE STATEMENT | |
Title | Philosophy of mathematics / |
Statement of responsibility, etc. | Thomas Beduerftig, Roman Murawski. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st edition. |
263 ## - PROJECTED PUBLICATION DATE | |
Projected publication date | 1810 |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Berlin, Germany ; |
-- | Boston, Massachusetts, USA : |
Name of producer, publisher, distributor, manufacturer | De Gruyter, |
Date of production, publication, distribution, manufacture, or copyright notice | ©2018. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xv, 457 pages ; |
Dimensions | 24 cm |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | unmediated |
Media type code | n |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | volume |
Carrier type code | nc |
Source | rdacarrier |
490 0# - SERIES STATEMENT | |
Series statement | De Gruyter Stem |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc. note | Includes bibliographical references and index. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro; Contents; Preface; Introduction; 1. On the Way to the Reals; 2. On the History of the Philosophy of Mathematics; 3. On Fundamental Questions of the Philosophy of Mathematics; 4. Sets and Set Theories; 5. Axiomatic Approach and Logic; 6. Thinking and Calculating Infinitesimally --<br/>First Nonstandard Steps; 7. Retrospection; Biographies; Bibliography; Index of Names; Index of Symbols; Index of subjects. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today's mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readers interested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally - First nonstandard steps Retrospection. |
521 ## - TARGET AUDIENCE NOTE | |
Target audience note | College of Education |
Source | Bachelor of Secondary Education major in Mathematics |
546 ## - LANGUAGE NOTE | |
Language note | Text in English |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Mathematics -- Philosophy. |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Murawski, Roman. |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) | |
a | 0 |
b | ibc |
c | orignew |
d | 2 |
e | epcn |
f | 20 |
g | y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Books |
Classification part | 500-599 |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
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Dewey Decimal Classification | GC | College Library | College Library | General Circulation Section | 03/06/2020 | Library Fund | GC 510.1 B39 2018 | HNU001363 | 08/29/2024 | 07/07/2020 | Books |