Cargando…
Applying mathematics : immersion, inference, interpretation /
How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? Bueno and French offer a new approach to the puzzle of the applicability of mathematics, through a detailed examination of a series of case studies from the history of twentieth-centu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford, United Kingdom :
Oxford University Press,
2018.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBSCO_on1038480966 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 180602s2018 enka ob 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e rda |e pn |c EBLCP |d YDX |d STBDS |d FIE |d CEF |d OH1 |d OCLCF |d N$T |d UBY |d OTZ |d U3W |d STF |d OCLCQ |d WYU |d LVT |d CNO |d TKN |d OCLCQ |d CDN |d BRX |d OCLCQ |d UKAHL |d OH# |d OCLCQ |d OCLCO |d OCLCQ |d SFB |d OCLCQ | ||
| 019 | |a 1038472899 |a 1049590321 |a 1050357651 |a 1050583937 |a 1050610917 |a 1079799412 | ||
| 020 | |a 9780192546654 |q (electronic bk.) | ||
| 020 | |a 0192546651 |q (electronic bk.) | ||
| 020 | |a 9780191852862 | ||
| 020 | |a 0191852864 | ||
| 020 | |z 0198815042 | ||
| 020 | |z 9780198815044 | ||
| 035 | |a (OCoLC)1038480966 |z (OCoLC)1038472899 |z (OCoLC)1049590321 |z (OCoLC)1050357651 |z (OCoLC)1050583937 |z (OCoLC)1050610917 |z (OCoLC)1079799412 | ||
| 050 | 4 | |a QA8.4 |b .B84 2018eb | |
| 072 | 7 | |a MAT |x 039000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 023000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 026000 |2 bisacsh | |
| 082 | 0 | 4 | |a 510.1 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Bueno, Otávio, |e author. | |
| 245 | 1 | 0 | |a Applying mathematics : |b immersion, inference, interpretation / |c Otávio Bueno and Steven French. |
| 264 | 1 | |a Oxford, United Kingdom : |b Oxford University Press, |c 2018. | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (xvi, 257 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a Cover; Applying Mathematics: Immersion, Inference, Interpretation; Copyright; Dedication; Preface; Contents; Acknowledgements; List of Illustrations; 1: Just How Unreasonable is the Effectiveness of Mathematics?; 1.1 Introduction; 1.2 Mystery Mongering; 1.3 Mathematical Optimism; 1.4 Mathematical Opportunism; 2: Approaching Models: Formal and Informal; 2.1 Introduction; 2.2 One Extreme: The Structuralists; 2.3 The Other Extreme: Giere's Account of Models; 2.4 Surplus Structure; 2.5 Partial Structures; 2.6 Problems with Isomorphism; 2.7 The Inferential Conception; 2.8 Conclusion. | |
| 505 | 8 | |a 3: Scientific Representation and the Application of Mathematics3.1 Introduction; 3.2 General Challenge: Reducing all Representations to the Mental; 3.3 Specific Challenges to the Formal Account; 3.3.1 Necessity; 3.3.2 Sufficiency; 3.3.3 Logic; 3.3.4 Mechanism; 3.3.5 Style; 3.3.6 Misrepresentation; 3.3.7 Ontology; 3.4 The Formal Account Defended; 3.4.1 Preamble: Informational vs Functional Accounts; 3.4.2 Necessity; 3.4.3 Logic and Sufficiency; 3.4.4 Mechanism; 3.4.5 Style; 3.4.6 Misrepresentation; 3.4.7 Ontology; 4: Applying New Mathematics: Group Theory and Quantum Mechanics. | |
| 505 | 8 | |a 4.1 Introduction4.2 The Historical Context; 4.3 Applying Group Theory to Atoms; 4.3.1 A (Very) Brief History of Quantum Statistics; 4.3.2 The 'Wigner Programme'; 4.3.3 The 'Weyl Programme'; 4.4 Applying Group Theory to Nuclei; 4.5 Conclusion; 5: Representing Physical Phenomena: Top-Down and Bottom-Up; 5.1 Introduction; 5.2 From the Top: The Applicability of Mathematics; 5.3 Bose-Einstein Statistics and Superfluidity; 5.3.1 The Liquid Degeneracy of Helium; 5.3.2 The Application of Bose-Einstein Statistics; 5.4 The Autonomy of London's Model; 5.5 Conclusion. | |
| 505 | 8 | |a 6: Unifying with Mathematics: Logic, Probability, and Quantum States6.1 Introduction; 6.2 Group Theory, Hilbert Spaces, and Quantum Mechanics; 6.3 Logic and Empiricism; 6.4 The 1937 Manuscript: Logics and Experience; 6.5 The Status of Mathematics; 7: Applying Problematic Mathematics, Interpreting Successful Structures: From the Delta Function to the Positron; 7.1 Introduction; 7.2 Dirac and the Delta Function; 7.2.1 Introducing the Delta Function; 7.2.2 Dispensing with the Delta Function; 7.2.3 The Status of the Delta Function; 7.3 The Pragmatic and Heuristic Role of Mathematics in Physics. | |
| 505 | 8 | |a 7.4 The Discovery of Antimatter7.5 Conclusion; 8: Explaining with Mathematics? From Cicadas to Symmetry; 8.1 Introduction; 8.2 The Strong Claim and Indispensability; 8.3 The Enhanced Indispensability Argumentand Explanation; 8.3.1 Indexing and Representing; 8.3.2 Explaining; 8.4 The Weak Claim and the Hybridity of Spin; 8.5 Conclusion; 9: Explaining with Mathematics?: Idealization, Universality, and the Criteria for Explanation; 9.1 Introduction; 9.2 Immersion, Inference, and Partial Structures; 9.3 Idealization and Surplus Structure; 9.4 The Rainbow. | |
| 505 | 8 | |a 9.5 Accommodating Process and Limit Operations. | |
| 520 | |a How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? Bueno and French offer a new approach to the puzzle of the applicability of mathematics, through a detailed examination of a series of case studies from the history of twentieth-century physics. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 235-250) and index. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Mathematics |x Philosophy. | |
| 650 | 0 | |a Science |x Mathematics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Mathématiques |x Philosophie. | |
| 650 | 6 | |a Sciences |x Mathématiques. | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Mathematical physics. |2 fast |0 (OCoLC)fst01012104 | |
| 650 | 7 | |a Mathematics |x Philosophy. |2 fast |0 (OCoLC)fst01012213 | |
| 650 | 7 | |a Science |x Mathematics. |2 fast |0 (OCoLC)fst01108310 | |
| 700 | 1 | |a French, Steven, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Bueno, Otávio. |t Applying mathematics : immersion, inference, interpretation. |d Oxford, United Kingdom : Oxford University Press, 2018 |z 9780198815044 |w (OCoLC)1013944141 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1815774 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37166954 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37166778 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5401012 | ||
| 938 | |a EBSCOhost |b EBSC |n 1815774 | ||
| 938 | |a Oxford University Press USA |b OUPR |n EDZ0001883299 | ||
| 938 | |a YBP Library Services |b YANK |n 15468082 | ||
| 938 | |a YBP Library Services |b YANK |n 15117780 | ||
| 994 | |a 92 |b IZTAP | ||