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Mathematics and scientific representation

Author: Christopher Pincock
Publisher: Oxford : Oxford University Press, 2015.
Series: Oxford studies in philosophy of science
Edition/Format:   Print book : English : Book on demandView all editions and formats
Summary:

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  Read more...

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Document Type: Book
All Authors / Contributors: Christopher Pincock
ISBN: 9780199757107 0199757100 9780190201395 0190201398
OCLC Number: 906003902
Notes: Originally publ. 2012.
Description: 330 Seiten : Illustrationen.
Contents: 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 Interpretative Flexibility ; 1.7 Key Claims ; 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 ScientificRepresentation ; 5.2 Scale Separation ; 5.3 Scale Similarity ; 5.4 Scale and Idealization ; 5.5 Perturbation Theory ; 5.6 Multiple Scales ; 5.7 Interpreting Multiscale Representations ; 5.8 Summary ; 6 Constitutive Frameworks ; 6.1 A Different Kind of Contribution ; 6.2 Carnap's Linguistic Frameworks ; 6.3 Kuhn's Paradigms ; 6.4 Friedman on the Relative A Priori ; 6.5 The Need for Constitutive Representations ; 6.6 The Need for the Absolute A Priori ; 7 Failures ; 7.1 Mathematics and Scientific Failure ; 7.2 Completeness and Segmentation Illusions ; 7.3 The Parameter Illusion ; 7.4 Illusions of Scale ; 7.5 Illusions of Traction ; 7.6 Causal Illusions ; 7.7 Finding the Scope of a Representation ; II Other Contributions ; 8 Discovery ; 8.1 Semantic and Metaphysical Problems ; 8.2 A Descriptive Problem ; 8.3 Description and Discovery ; 8.4 Defending Naturalism ; 8.5 Natural Kinds ; 9 Indispensability ; 9.1 Descriptive Contributions and Pure Mathematics ; 9.2 Quine and Putnam ; 9.3 Against the Platonist Conclusion ; 9.4 Colyvan ; 10 Explanation ; 10.1 Explanatory Contributions ; 10.2 Inference to the Best Mathematical Explanation ; 10.3 Belief and Understanding ; 11 The Rainbow ; 11.1 Asymptotic Explanation ; 11.2 Angle and Color ; 11.3 Explanatory Power ; 11.4 Supernumerary Bows ; 11.5 Interpretation and Scope ; 11.6 Batterman and Belot ; 11.7 Looking Ahead ; 12 Fictionalism 413 ; 12.1 Motivations ; 12.2 Literary Fiction ; 12.3 Mathematics ; 12.4 Models ; 12.5 Understanding and Truth ; 13 Facades ; 13.1 Physical and Mathematical Concepts ; 13.2 Against Semantic Finality ; 13.3 Developing and Connecting Patches ; 13.4 A New Approach to Content ; 13.5 Azzouni and Rayo ; 14 Conclusion: Pure Mathematics ; 14.1 Taking Stock ; 14.2 Metaphysics . ; 14.3 Structuralism ; 14.4 Epistemology ; 14.5 Peacocke and Jenkins ; 14.6 Historical Extensions ; 14.7 Non-conceptual Justification ; 14.8 Past and Future ; Appendices ; A Method of Characteristics ; B Black-Scholes Model ; C Speed of Sound ; D Two Proofs of Euler's Formula
Series Title: Oxford studies in philosophy of science
Responsibility: Christopher Pincock.

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Pincock's book is an excellent analysis of some of the most important topics in philosophy of science and philosophy of mathematics, and is well worth a read for any philosopher interested in the Read more...

 
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