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20250920171846.0 |
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Uk |
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18864699 |
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1038058507 |
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9781119426813 |
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electronic book |
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CHVBK;CHNEW;UKMGB |
| System control number |
516431056;001003325;018864699 |
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(OCoLC)1037946124;(OCoLC)on1037946124 |
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9781119528074 |
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Wiley |
| 040 ## - CATALOGING SOURCE |
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rda;pn |
| Original cataloging agency |
N$T |
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N$T;EBLCP;DG1;YDX;OCLCF;RECBK;MERER;UAB;OCLCQ;NLE;UKMGB |
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eng |
| Transcribing agency |
N$T |
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QA8.4 |
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bisacsh;bisacsh;bisacsh |
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MAT;MAT;MAT |
| Subject category code subdivision |
039000;023000;026000 |
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510.1 |
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author. |
| Personal name |
Parrochia, Daniel, |
| Dates associated with a name |
1951- |
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4 |
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0 |
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| 245 #0 - TITLE STATEMENT |
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Mathematics and philosophy / |
| Designation of section section/part/series: (SE) [OBSOLETE] |
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Daniel Parrochia. |
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| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Materials specified |
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| Place of production, publication, distribution, manufacture |
London :;Hoboken, NJ : |
| -- |
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| Name of producer, publisher, distributor, manufacturer |
ISTE Ltd ;;John Wiley & Sons, Inc., |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2018]46 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Accompanying material |
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1 online resource. |
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| 336 ## - CONTENT TYPE |
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| Content type code |
txt |
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text |
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rdacontent |
| 337 ## - MEDIA TYPE |
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0 |
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c |
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computer |
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rdamedia |
| 338 ## - CARRIER TYPE |
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0 |
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cr |
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online resource |
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rdacarrier |
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| 490 ## - SERIES STATEMENT |
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| Series statement |
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Mathematics and statistics series |
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| 500 ## - GENERAL NOTE |
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56 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
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Includes bibliographical references and index. |
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| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
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Intro; Table of Contents; Introduction; PART: 1 The Contribution of Mathematician-Philosophers; Introduction to Part 1; 1 Irrational Quantities; 1.1. The appearance of irrationals or the end of the Pythagorean dream; 1.2. The first philosophical impact; 1.3. Consequences of the discovery of irrationals; 1.4. Possible solutions; 1.5. A famous example: the golden number; 1.6. Plato and the dichotomic processes; 1.7. The Platonic generalization of ancient Pythagoreanism; 1.8. Epistemological consequences: the evolution of reason; 2 All About the Doubling of the Cube;6 Complexes, Logarithms and Exponentials6.1. The road to complex numbers; 6.2. Logarithms and exponentials; 6.3. De Moivre's and Euler's formulas; 6.4. Consequences on Hegelian philosophy; 6.5. Euler's formula; 6.6. Euler, Diderot and the existence of God; 6.7. The approximation of functions; 6.8. Wronski's philosophy and mathematics; 6.9. Historical positivism and spiritual metaphysics; 6.10. The physical interest of complex numbers; 6.11. Consequences on Bergsonian philosophy; PART: 3 Significant Advances; Introduction to Part 3; 7 Chance, Probability and Metaphysics;7.1. Calculating probability: a brief history7.2. Pascal's wager; 7.3. Social applications, from Condorcet to Musil; 7.4. Chance, coincidences and omniscience; 8 The Geometric Revolution; 8.1. The limits of the Euclidean demonstrative ideal; 8.2. Contesting Euclidean geometry; 8.3. Bolyai's and Lobatchevsky geometries; 8.4. Riemann's elliptical geometry; 8.5. Bachelard and the philosophy of non; 8.6. The unification of Geometry by Beltrami and Klein; 8.7. Hilbert's axiomatization; 8.8. The reception of non-Euclidean geometries; 8.9. A distant impact: Finsler's philosophy |
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| Title |
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| Statement of responsibility |
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| 506 ## - RESTRICTIONS ON ACCESS NOTE |
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5 |
| 510 ## - CITATION/REFERENCES NOTE |
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| 520 ## - SUMMARY, ETC. |
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| Assigning source |
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| Summary, etc. |
This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck). |
| Uniform Resource Identifier |
<a href=""></a> |
| 521 ## - TARGET AUDIENCE NOTE |
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| 533 ## - REPRODUCTION NOTE |
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| 540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE |
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| Terms governing use and reproduction |
5 |
| 542 ## - INFORMATION RELATING TO COPYRIGHT STATUS |
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| 546 ## - LANGUAGE NOTE |
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| 588 ## - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Online resource; title from PDF title page (EBSCO, viewed May 30, 2018). |
| 590 ## - LOCAL NOTE (RLIN) |
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Philosophy. |
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Mathematics |
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| 655 ## - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| Chronological subdivision |
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| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Relationship information |
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| Title of a work |
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| Titles and other words associated with a name |
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| Numeration |
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| Version |
1 |
| Fuller form of name |
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| Date of a work |
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40 |
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| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
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| Uniform title |
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| Place, publisher, and date of publication |
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| Edition |
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| International Standard Book Number |
1786302098;9781786302090 |
| Relationship information |
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| Title |
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| International Standard Serial Number |
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| Physical description |
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| Qualifying information |
Original |
| Record control number |
(OCoLC)1011012502 |
| 780 ## - PRECEDING ENTRY |
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| Place, publisher, and date of publication |
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| 800 ## - SERIES ADDED ENTRY--PERSONAL NAME |
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| Dates associated with a name |
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| Language of a work |
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| Title of a work |
|
| -- |
|
| Volume/sequential designation |
|
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| International Standard Serial Number |
|
| -- |
|
| Uniform title |
Mathematics and statistics series (ISTE) |
| Name of part/section of a work |
|
| Number of part/section of a work |
|
| Language of a work |
0 |
| Volume/sequential designation |
|
| 942 ## - ADDED ENTRY ELEMENTS |
|---|
| Institution code [OBSOLETE] |
|
| -- |
lcc |
| Item type |
Book |