Mathematics and scientific representation

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Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. Pincock tackles this perennial question by asking how mathematics contributes to the success of our best scientific representations.

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Title Statements

Full title :Mathematics and scientific representation / Christopher Pincock.

Summary

Edition Statements

Publication Date:©2012.

Publication Statements

Publisher(s):Oxford University Press
Place of Publication:Oxford
Language:eng
Publication Date:©2012.

The Physical Object

Description:1 online resource (xv, 330 pages) : : illustrations

Edition Identifiers

ISBN:9780199921096, 0199921091
oclc:ocn773933255
LC Classification:Q175.32.M38
Dewey Decimal:501/.51

""Cover""; ""Contents ""; ""List of Figures""; ""Preface""; ""Mathematical Notation""; ""1. Introduction""; ""1.1. A Problem""; ""1.2. Classifying Contributions""; ""1.3. An Epistemic Solution""; ""1.4. Explanatory Contributions""; ""1.5. Other Approaches""; ""1.6. Interpretive Flexibility""; ""1.7. Key Claims""; ""PART I: Epistemic Contributions""; ""2. Content and Confirmation""; ""2.1. Concepts""; ""2.2. Basic Contents""; ""2.3. Enriched Contents""; ""2.4. Schematic and Genuine Contents""; ""2.5. Inference""; ""2.6. Core Conceptions""; ""2.7. Intrinsic and Extrinsic""

""2.8. Confirmation Theory""""2.9. Prior Probabilities""; ""3. Causes""; ""3.1. Accounts of Causation""; ""3.2. A Causal Representation""; ""3.3. Some Acausal Representations""; ""3.4. The Value of Acausal Representations""; ""3.5. Batterman and Wilson""; ""4. Varying Interpretations""; ""4.1. Abstraction as Variation""; ""4.2. Irrotational Fluids and Electrostatics""; ""4.3. Shock Waves""; ""4.4. The Value of Varying Interpretations""; ""4.5. Varying Interpretations and Discovery""; ""4.6. The Toolkit of Applied Mathematics""; ""5. Scale Matters""

""5.1. Scale and Scientific Representation""""5.2. Scale Separat…