Mathematical knowledge and the interplay of practices / (Record no. 81320)
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| 001 - CONTROL NUMBER | |
| control field | ocn929851435 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908100100.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 151118s2015 nju ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | N$T |
| Modifying agency | N$T |
| -- | IDEBK |
| -- | OCLCF |
| -- | CDX |
| -- | JSTOR |
| -- | DEBBG |
| -- | IDB |
| -- | MCW |
| -- | FVL |
| -- | OCLCQ |
| -- | MERUC |
| -- | IOG |
| -- | UUM |
| -- | WRM |
| -- | OCLCQ |
| -- | WYU |
| -- | IEEEE |
| -- | OCLCO |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400874002 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1400874009 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691167510 |
| 027 ## - STANDARD TECHNICAL REPORT NUMBER | |
| Standard technical report number | JSTOR purchased |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000057005846 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHNEW |
| System control number | 001015759 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV043892574 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)929851435 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctt1dr3ct0 |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452411 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA8.4 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 039000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 023000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 026000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT000000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT028000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT030000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI075000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT015000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHI004000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510.1 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ferreir�os Dom�inguez, Jos�e, |
| Relator term | author. |
| 9 (RLIN) | 64619 |
| 245 10 - TITLE STATEMENT | |
| Title | Mathematical knowledge and the interplay of practices / |
| Statement of responsibility, etc. | Jos�e Ferreir�os. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Online resource; title from PDF title page (Ebsco, viewed on November 19, 2015). |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Contents -- List of Illustrations -- Foreword -- 1 On Knowledge and Practices: A Manifesto -- 2 The Web of Practices -- 2.1. Historical Work on Practices -- 2.2. Philosophers Working on Practices -- 2.3. What Is Mathematical Practice, Then? -- 2.4. The Multiplicity of Practices -- 2.5. The Interplay of Practices and Its Basis -- 3 Agents and Frameworks -- 3.1. Frameworks and Related Matters -- 3.2. Interlude on Examplars -- 3.3. On Agents -- 3.4. Counting Practices and Cognitive Abilities -- 3.5. Further Remarks on Mathematics and Cognition -- 3.6. Agents and "Metamathematical" Views -- 3.7. On Systematic Links -- 4 Complementarity in Mathematics -- 4.1. Formula and Meaning -- 4.2. Formal Systems and Intended Models -- 4.3. Meaning in Mathematics: A Tentative Approach -- 4.4. The Case of Complex Numbers -- 5 Ancient Greek Mathematics: A Role for Diagrams -- 5.1. From the Technical to the Mathematical -- 5.2. The Elements: Getting Started -- 5.3. On the Euclidean Postulates: Ruling Diagrams (and Their Reading) -- 5.4. Diagram-Based Mathematics and Proofs -- 5.5. Agents, Idealization, and Abstractness -- 5.6. A Look at the Future-Our Past -- 6 Advanced Math: The Hypothetical Conception -- 6.1. The Hypothetical Conception: An Introduction -- 6.2. On Certainty and Objectivity -- 6.3. Elementary vs. Advanced: Geometry and the Continuum -- 6.4. Talking about Objects -- 6.5. Working with Hypotheses: AC and the Riemann Conjecture -- 7 Arithmetic Certainty -- 7.1. Basic Arithmetic -- 7.2. Counting Practices, Again -- 7.3. The Certainty of Basic Arithmetic -- 7.4. Further Clarifications -- 7.5. Model Theory of Arithmetic -- 7.6. Logical Issues: Classical or Intuitionistic Math? -- 8 Mathematics Developed: The Case of the Reals -- 8.1. Inventing the Reals -- 8.2. "Tenths" to the Infinite: Lambert and Newton -- 8.3. The Number Continuum. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8.4. The Reinvention of the Reals -- 8.5. Simple Infinity and Arbitrary Infinity -- 8.6. Developing Mathematics -- 8.7. Mathematical Hypotheses and Scientific Practices -- 9 Objectivity in Mathematical Knowledge -- 9.1. Objectivity and Mathematical Hypotheses: A Simple Case -- 9.2. Cantor's "Purely Arithmetical" Proofs -- 9.3. Objectivity and Hypotheses, II: The Case of p(N) -- 9.4. Arbitrary Sets and Choice -- 9.5. What about Cantor's Ordinal Numbers? -- 9.6. Objectivity and the Continuum Problem -- 10 The Problem of Conceptual Understanding -- 10.1. The Universe of Sets -- 10.2. A "Web-of-Practices" Look at the Cumulative Picture -- 10.3. Conceptual Understanding -- 10.4. Justifying Set Theory: Arguments Based on the Real-Number Continuum -- 10.5. By Way of Conclusion -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z. |
| 520 8# - SUMMARY, ETC. | |
| Summary, etc. | Annotation |
| Expansion of summary note | This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, Jose Ferreiros uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results.Describing a historically oriented, agent-based philosophy of mathematics, Ferreiros shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. He argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. Ferreiros demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty.Offering a wealth of philosophical and historical insights, "Mathematical Knowledge and the Interplay of Practices" challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science." |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| General subdivision | Philosophy. |
| 9 (RLIN) | 21296 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Math�ematiques |
| General subdivision | Philosophie. |
| 9 (RLIN) | 64620 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Essays. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 64120 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Pre-Calculus. |
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| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
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| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
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| 9 (RLIN) | 4635 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| General subdivision | Philosophy. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01012213 |
| 9 (RLIN) | 21296 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Note | Druck-Ausgabe |
| Title | Ferreir�os, Jos�e. Mathematical Knowledge and the Interplay of Practices |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452411">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452411</a> |
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