Because without cause: non-causal explanation in science and mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Oxford University Press
2017
|
| Schriftenreihe: | Oxford studies in philosophy of science
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXII, 489 Seiten Diagramme |
Internformat
MARC
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| 245 | 1 | 0 | |a Because without cause |b non-causal explanation in science and mathematics |c Marc Lange |
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| 650 | 4 | |a Science / Philosophy | |
| 650 | 4 | |a Mathematics / Philosophy | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
| _version_ | 1804176508866002944 |
|---|---|
| adam_text | ■ CONTENTS
Preface xi
part I H Scientific Explanations by Constraint
1 What Makes a Scientific Explanation Distinctively Mathematical? 3
1.1. Distinctively Mathematical Explanations in Science as
Non-Causal Scientific Explanations 3
1.2. Are Distinctively Mathematical Explanations Set Apart by
Their Failure to Cite Causes? 12
1.3. Mathematical Explanations Do Not Exploit Causal Powers 22
1.4. How These Distinctively Mathematical Explanations Work 25
1.5. Elaborating My Account of Distinctively Mathematical
Explanations 32
1.6. Conclusion 44
2 “There Sweep Great General Principles Which All the Laws
Seem to Follow” 46
2.1. The Task: To Unpack the Title of This Chapter 46
2.2. Constraints versus Coincidences 49
2.3. Hybrid Explanations 58
2.4. Other Possible Kinds of Constraints besides
Conservation Laws 64
2.5. Constraints as Modally More Exalted Than the Force Laws
They Constrain 68
2.6. My Account of the Difference between Constraints
and Coincidences 72
2.7. Accounts That Rule Out Explanations by Constraint 86
3 The Lorentz Transformations and the Structure of
Explanations by Constraint 96
3.1. Transformation Laws as Constraints or Coincidences 96
3.2. The Lorentz Transformations Given an Explanation
by Constraint 100
3.3. Principle versus Constructive Theories 112
3.4. How This Non-Causal Explanation Comes in Handy 123
3.5. How Explanations by Constraint Work 128
vii
136
141
145
150
150
154
159
167
173
178
189
189
190
196
204
204
209
215
219
221
231
231
234
238
CONTENTS
3.6. Supplying Information about the Source of a
Constraint s Necessity
3.7. What Makes a Constraint Explanatorily Fundamentar?
Appendix: A Purely Kinematical Derivation of the
Lorentz Transformations
The Parallelogram of Forces and the Autonomy of Statics
4.1. A Forgotten Controversy in the Foundations of
Classical Physics
4.2. The Dynamical Explanation of the Parallelogram of Forces
4.3. Duchaylas Statical Explanation
4.4. Poissons Statical Explanation
4.5. Statical Explanation under Some Familiar Accounts of
Natural Law
4.6. My Account of What Is at Stake
II M Two Other Varieties of Non-Causal Explanation
in Science
Really Statistical Explanations and Genetic Drift
5.1. Introduction to Part II
5.2. Really Statistical (RS) Explanations
5.3. Drift
Dimensional Explanations
6.1. A Simple Dimensional Explanation
6.2. A More Complicated Dimensional Explanation
6.3. Different Features of a Derivative Law May Receive
Different Dimensional Explanations
6.4. Dimensional Homogeneity
6.5. Independence from Some Other Quantities as Part of a
Dimensional Explanans
III M Explanation in Mathematics
Aspects of Mathematical Explanation: Symmetry, Salience,
and Simplicity
7.1. Introduction to Proofs That Explain Why Mathematical
Theorems Hold
7.2. Zeitz s Biased Coin: A Suggestive Example of
Mathematical Explanation
7.3. Explanation by Symmetry
B ix
239
245
254
268
276
276
283
287
298
304
311
314
314
315
323
327
335
341
345
349
349
350
361
368
CONTENTS
7.4. A Theorem Explained by a Symmetry in the Unit
Imaginary Number
7.5. Geometric Explanations That Exploit Symmetry
7.6. Generalizing the Proposal
7.7. Conclusion
Mathematical Coincidences and Mathematical Explanations
That Unify
8.1. What Is a Mathematical Coincidence?
8.2. Can Mathematical Coincidence Be Understood without
Appealing to Mathematical Explanation?
8.3. A Mathematical Coincidences Components Have No
Common Proof
8.4. A Shift of Context May Change a Proofs Explanatory Power
8.5. Comparison to Other Proposals
8.6. Conclusion
Desargues s Theorem as a Case Study of Mathematical
Explanation^ Existence; and Natural Properties
9.1. A Case Study
9.2. Three Proofs—but Only One Explanation—of
Desargues s Theorem in Two-Dimensional
Euclidean Geometry
9.3. Why Desargues s Theorem in Two-Dimensional Euclidean
Geometry Is Explained by an Exit to the Third Dimension
9.4. Desargues s Theorem in Projective Geometry: Unification
and Existence in Mathematics
9.5. Desargues s Theorem in Projective Geometry: Explanation
and Natural Properties in Mathematics
9.6. Explanation by Subsumption under a Theorem
9.7. Conclusion
IV M Explanations in Mathematics and Non-Causal
Scientific Explanations—Together
Mathematical Coincidence and Scientific Explanation
10.1. Physical Coincidences That Are No Mathematical
Coincidence
10.2. Explanations from Common Mathematical Form
10.3. Explanations from Common Dimensional Architecture
10.4. Targeting New Explananda
X a CONTENTS
11 What Makes Some Reducible Physical Properties Explanatory? 371
11.1. Some Reducible Properties Are Natural 371
11.2. Centers of Mass and Reduced Mass 378
11.3. Reducible Properties on Strevens s Account of
Scientific Explanation 381
11.4. Dimensionless Quantities as Explanatorily Powerful
Reducible Properties 384
11.5. My Proposal 386
11.6. Conclusion: All Varieties of Explanation as Species of the
Same Genus 394
Notes 401
References 461
Index 483
|
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| spelling | Lange, Marc 1963- Verfasser (DE-588)132429128 aut Because without cause non-causal explanation in science and mathematics Marc Lange New York, NY Oxford University Press 2017 XXII, 489 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Oxford studies in philosophy of science Includes bibliographical references and index Probabilities / Philosophy Conditional expectations (Mathematics) Science / Philosophy Mathematics / Philosophy Mathematik Naturwissenschaft Philosophie Kausalität (DE-588)4030102-3 gnd rswk-swf Wissenschaftsphilosophie (DE-588)4202787-1 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 s Mathematik (DE-588)4037944-9 s Kausalität (DE-588)4030102-3 s Wahrscheinlichkeit (DE-588)4137007-7 s Wissenschaftsphilosophie (DE-588)4202787-1 s DE-604 Digitalisierung BSB Muenchen - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029130601&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lange, Marc 1963- Because without cause non-causal explanation in science and mathematics Probabilities / Philosophy Conditional expectations (Mathematics) Science / Philosophy Mathematics / Philosophy Mathematik Naturwissenschaft Philosophie Kausalität (DE-588)4030102-3 gnd Wissenschaftsphilosophie (DE-588)4202787-1 gnd Naturwissenschaften (DE-588)4041421-8 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Mathematik (DE-588)4037944-9 gnd |
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| title | Because without cause non-causal explanation in science and mathematics |
| title_auth | Because without cause non-causal explanation in science and mathematics |
| title_exact_search | Because without cause non-causal explanation in science and mathematics |
| title_full | Because without cause non-causal explanation in science and mathematics Marc Lange |
| title_fullStr | Because without cause non-causal explanation in science and mathematics Marc Lange |
| title_full_unstemmed | Because without cause non-causal explanation in science and mathematics Marc Lange |
| title_short | Because without cause |
| title_sort | because without cause non causal explanation in science and mathematics |
| title_sub | non-causal explanation in science and mathematics |
| topic | Probabilities / Philosophy Conditional expectations (Mathematics) Science / Philosophy Mathematics / Philosophy Mathematik Naturwissenschaft Philosophie Kausalität (DE-588)4030102-3 gnd Wissenschaftsphilosophie (DE-588)4202787-1 gnd Naturwissenschaften (DE-588)4041421-8 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Probabilities / Philosophy Conditional expectations (Mathematics) Science / Philosophy Mathematics / Philosophy Mathematik Naturwissenschaft Philosophie Kausalität Wissenschaftsphilosophie Naturwissenschaften Wahrscheinlichkeit |
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