The Argument of Mathematics (Record no. 99912)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04624nam a22004935i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-94-007-6534-4 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220082942.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130703s2013 ne | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789400765344 |
| -- | 978-94-007-6534-4 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-94-007-6534-4 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | BC1-199 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | HPL |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHI011000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 160 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Aberdein, Andrew. |
| Relator term | editor. |
| 245 14 - TITLE STATEMENT | |
| Title | The Argument of Mathematics |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | edited by Andrew Aberdein, Ian J Dove. |
| 264 #1 - | |
| -- | Dordrecht : |
| -- | Springer Netherlands : |
| -- | Imprint: Springer, |
| -- | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | X, 393 p. 74 illus. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Logic, Epistemology, and the Unity of Science ; |
| Volume number/sequential designation | 30 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- Part I. What are Mathematical Arguments? -- Chapter 1. Non-Deductive Logic in Mathematics: The Probability of Conjectures; James Franklin -- Chapter 2. Arguments, Proofs, and Dialogues; Erik C. W. Krabbe -- Chapter 3. Argumentation in Mathematics; Jesús Alcolea Banegas -- Chapter 4. Arguing Around Mathematical Proofs; Michel Dufour -- Part II. Argumentation as a Methodology for Studying Mathematical Practice -- Chapter 5. An Argumentative Approach to Ideal Elements in Mathematics; Paola Cantù -- Chapter 6. How Persuaded Are You? A Typology of Responses; Matthew Inglis and Juan Pablo Mejía-Ramos -- Chapter 7. Revealing Structures of Argumentations in Classroom Proving Processes; Christine Knipping and David Reid -- Chapter 8. Checking Proofs; Jesse Alama and Reinhard Kahle -- Part III. Mathematics as a Testbed for Argumentation Theory -- Chapter 9. Dividing by Zero—and Other Mathematical Fallacies; Lawrence H. Powers -- Chapter 10. Strategic Maneuvering in Mathematical Proofs; Erik C. W. Krabbe -- Chapter. 11 Analogical Arguments in Mathematics; Paul Bartha -- Chapter 12. What Philosophy of Mathematical Practice Can Teach Argumentation Theory about Diagrams and Pictures; Brendan Larvor -- Part IV. An Argumentational Turn in the Philosophy of Mathematics -- Chapter 13. Mathematics as the Art of Abstraction; Richard L. Epstein -- Chapter 14. Towards a Theory of Mathematical Argument; Ian J. Dove -- Chapter 15. Bridging the Gap Between Argumentation Theory and the Philosophy of Mathematics; Alison Pease, Alan Smaill, Simon Colton and John Lee -- Chapter 16. Mathematical Arguments and Distributed Knowledge; Patrick Allo, Jean Paul Van Bendegem and Bart Van Kerkhove -- Chapter 17. The Parallel Structure of Mathematical Reasoning; Andrew Aberdein -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations. The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Philosophy (General). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Logic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer science. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Logic, Symbolic and mathematical. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Philosophy. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Logic. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Logic and Foundations. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Logic and Formal Languages. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Dove, Ian J. |
| Relator term | editor. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9789400765337 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Logic, Epistemology, and the Unity of Science ; |
| Volume number/sequential designation | 30 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-94-007-6534-4 |
| 912 ## - | |
| -- | ZDB-2-SHU |
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