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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford, United Kingdom :
Oxford University Press,
2018.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xvi, 257 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 235-250) and index. |
| ISBN: | 9780192546654 0192546651 9780191852862 0191852864 |
Internformat
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-on1038480966 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 180602t20182018enka 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 |d OCLCO |d OCLCL |d CUS | ||
| 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 | 7 | |a 510.1 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Bueno, Otávio, |e author. |0 http://id.loc.gov/authorities/names/n00901761 | |
| 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. | ||
| 650 | 0 | |a Mathematics |x Philosophy. |0 http://id.loc.gov/authorities/subjects/sh85082153 | |
| 650 | 0 | |a Science |x Mathematics. | |
| 650 | 0 | |a Mathematical physics. |0 http://id.loc.gov/authorities/subjects/sh85082129 | |
| 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 | |
| 650 | 7 | |a Mathematics |x Philosophy |2 fast | |
| 650 | 7 | |a Science |x Mathematics |2 fast | |
| 700 | 1 | |a French, Steven, |e author. |0 http://id.loc.gov/authorities/names/n92108456 | |
| 758 | |i has work: |a Applying mathematics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFMTP9Yv6Dfg3d4tKhbtDq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 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 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1815774 |3 Volltext |
| 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 GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-on1038480966 |
|---|---|
| _version_ | 1816882460901769216 |
| adam_text | |
| any_adam_object | |
| author | Bueno, Otávio French, Steven |
| author_GND | http://id.loc.gov/authorities/names/n00901761 http://id.loc.gov/authorities/names/n92108456 |
| author_facet | Bueno, Otávio French, Steven |
| author_role | aut aut |
| author_sort | Bueno, Otávio |
| author_variant | o b ob s f sf |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA8 |
| callnumber-raw | QA8.4 .B84 2018eb |
| callnumber-search | QA8.4 .B84 2018eb |
| callnumber-sort | QA 18.4 B84 42018EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. 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. 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. 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. 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. 9.5 Accommodating Process and Limit Operations. |
| ctrlnum | (OCoLC)1038480966 |
| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.1 |
| dewey-search | 510.1 |
| dewey-sort | 3510.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>06641cam a2200769 i 4500</leader><controlfield tag="001">ZDB-4-EBA-on1038480966</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr |n|||||||||</controlfield><controlfield tag="008">180602t20182018enka ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">EBLCP</subfield><subfield code="b">eng</subfield><subfield code="e">rda</subfield><subfield code="e">pn</subfield><subfield code="c">EBLCP</subfield><subfield code="d">YDX</subfield><subfield code="d">STBDS</subfield><subfield code="d">FIE</subfield><subfield code="d">CEF</subfield><subfield code="d">OH1</subfield><subfield code="d">OCLCF</subfield><subfield code="d">N$T</subfield><subfield code="d">UBY</subfield><subfield code="d">OTZ</subfield><subfield code="d">U3W</subfield><subfield code="d">STF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">LVT</subfield><subfield code="d">CNO</subfield><subfield code="d">TKN</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">CDN</subfield><subfield code="d">BRX</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OH#</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">SFB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">CUS</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1038472899</subfield><subfield code="a">1049590321</subfield><subfield code="a">1050357651</subfield><subfield code="a">1050583937</subfield><subfield code="a">1050610917</subfield><subfield code="a">1079799412</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780192546654</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0192546651</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780191852862</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0191852864</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0198815042</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780198815044</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1038480966</subfield><subfield code="z">(OCoLC)1038472899</subfield><subfield code="z">(OCoLC)1049590321</subfield><subfield code="z">(OCoLC)1050357651</subfield><subfield code="z">(OCoLC)1050583937</subfield><subfield code="z">(OCoLC)1050610917</subfield><subfield code="z">(OCoLC)1079799412</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA8.4</subfield><subfield code="b">.B84 2018eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">039000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">023000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">026000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">510.1</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bueno, Otávio,</subfield><subfield code="e">author.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n00901761</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Applying mathematics :</subfield><subfield code="b">immersion, inference, interpretation /</subfield><subfield code="c">Otávio Bueno and Steven French.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford, United Kingdom :</subfield><subfield code="b">Oxford University Press,</subfield><subfield code="c">2018.</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvi, 257 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">9.5 Accommodating Process and Limit Operations.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 235-250) and index.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="x">Philosophy.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082153</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Science</subfield><subfield code="x">Mathematics.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematical physics.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082129</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Mathématiques</subfield><subfield code="x">Philosophie.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Sciences</subfield><subfield code="x">Mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Physique mathématique.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Essays.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Pre-Calculus.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Reference.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematical physics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics</subfield><subfield code="x">Philosophy</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Science</subfield><subfield code="x">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">French, Steven,</subfield><subfield code="e">author.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n92108456</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Applying mathematics (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCFMTP9Yv6Dfg3d4tKhbtDq</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Bueno, Otávio.</subfield><subfield code="t">Applying mathematics : immersion, inference, interpretation.</subfield><subfield code="d">Oxford, United Kingdom : Oxford University Press, 2018</subfield><subfield code="z">9780198815044</subfield><subfield code="w">(OCoLC)1013944141</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1815774</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH37166954</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH37166778</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL5401012</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">1815774</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Oxford University Press USA</subfield><subfield code="b">OUPR</subfield><subfield code="n">EDZ0001883299</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">15468082</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">15117780</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-on1038480966 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:28:58Z |
| institution | BVB |
| isbn | 9780192546654 0192546651 9780191852862 0191852864 |
| language | English |
| oclc_num | 1038480966 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xvi, 257 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Oxford University Press, |
| record_format | marc |
| spelling | Bueno, Otávio, author. http://id.loc.gov/authorities/names/n00901761 Applying mathematics : immersion, inference, interpretation / Otávio Bueno and Steven French. Oxford, United Kingdom : Oxford University Press, 2018. ©2018 1 online resource (xvi, 257 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. 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. 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. 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. 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. 9.5 Accommodating Process and Limit Operations. 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. Print version record. Includes bibliographical references (pages 235-250) and index. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Science Mathematics. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Mathématiques Philosophie. Sciences Mathématiques. Physique mathématique. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematical physics fast Mathematics Philosophy fast Science Mathematics fast French, Steven, author. http://id.loc.gov/authorities/names/n92108456 has work: Applying mathematics (Text) https://id.oclc.org/worldcat/entity/E39PCFMTP9Yv6Dfg3d4tKhbtDq https://id.oclc.org/worldcat/ontology/hasWork Print version: Bueno, Otávio. Applying mathematics : immersion, inference, interpretation. Oxford, United Kingdom : Oxford University Press, 2018 9780198815044 (OCoLC)1013944141 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1815774 Volltext |
| spellingShingle | Bueno, Otávio French, Steven Applying mathematics : immersion, inference, interpretation / 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. 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. 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. 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. 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. 9.5 Accommodating Process and Limit Operations. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Science Mathematics. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Mathématiques Philosophie. Sciences Mathématiques. Physique mathématique. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematical physics fast Mathematics Philosophy fast Science Mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082153 http://id.loc.gov/authorities/subjects/sh85082129 |
| title | Applying mathematics : immersion, inference, interpretation / |
| title_auth | Applying mathematics : immersion, inference, interpretation / |
| title_exact_search | Applying mathematics : immersion, inference, interpretation / |
| title_full | Applying mathematics : immersion, inference, interpretation / Otávio Bueno and Steven French. |
| title_fullStr | Applying mathematics : immersion, inference, interpretation / Otávio Bueno and Steven French. |
| title_full_unstemmed | Applying mathematics : immersion, inference, interpretation / Otávio Bueno and Steven French. |
| title_short | Applying mathematics : |
| title_sort | applying mathematics immersion inference interpretation |
| title_sub | immersion, inference, interpretation / |
| topic | Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Science Mathematics. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Mathématiques Philosophie. Sciences Mathématiques. Physique mathématique. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematical physics fast Mathematics Philosophy fast Science Mathematics fast |
| topic_facet | Mathematics Philosophy. Science Mathematics. Mathematical physics. Mathématiques Philosophie. Sciences Mathématiques. Physique mathématique. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. Mathematical physics Mathematics Philosophy Science Mathematics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1815774 |
| work_keys_str_mv | AT buenootavio applyingmathematicsimmersioninferenceinterpretation AT frenchsteven applyingmathematicsimmersioninferenceinterpretation |