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-century physics.
Read More ↓Title Statements
- Full title :Applying mathematics : immersion, inference, interpretation / Otávio Bueno and Steven French.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©2018
Publication Statements
- Publisher(s):Oxford University Press
- Place of Publication:Oxford, United Kingdom
- Language:eng
- Publication Date:©2018
The Physical Object
- Description:1 online resource (xvi, 257 pages) : : illustrations
Edition Identifiers
- ISBN:9780192546654, 0192546651, 9780191852862, 0191852864
- oclc:on1038480966
- LC Classification:QA8.4
- Dewey Decimal:510.1
Table of 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 His…
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