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Mathematics as a tool : tracing new roles of mathematics in the sciences

Author: Johannes Lenhard; Martin Carrier
Publisher: Cham, Switzerland : Springer, 2017.
Series: Boston studies in the philosophy and history of science, volume 327.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Mathematics as a tool.
Cham, Switzerland : Springer, 2017
(OCoLC)970684201
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Johannes Lenhard; Martin Carrier
ISBN: 9783319544694 3319544691
OCLC Number: 981912175
Description: 1 online resource (x, 286 pages) : illustrations (some color).
Contents: Chapter 1. Introduction (Johannes Lenhard) --
Part 1. Organizing Science --
Chapter 2. Rational and Empirical Cultures of Prediction (Ann Johnson) --
Chapter 3. Mathematization in Synthetic Biology: Analogies, Templates, and Fictions (Tarja Knuuttila) --
Chapter 4. Trigonometry, Construction by Straightedge and Compass, and the applied mathematics of the Almagest (Ido Yavetz) --
Chapter 5. Shaping Mathematics as a Tool: The Search for a Mathematical Model of Quasi-Crystals (Henrik Kragh Sørensen) --
Part 2. Conceptual Re-Evaluation --
Chapter 6. Boon and Bane: On the Role of Adjustable Parameters in Simulation Models (Hans Hasse) --
Chapter 7. Systems Biology in the Light of Uncertainty: The Limits of Computation (Miles MacLeod) --
Chapter 8. The Vindication of Computer Simulations (Nicolas Fillion) --
Chapter 9. Empirical Bayes as a Tool (Anouk Barberousse) --
Part 3. Reflections on the Tool Character --
Chapter 10. On the Epistemic and Social Foundations of Mathematics as Tool and Instrument in Observatories, 1793--1846 (David Aubin) --
Chapter 11. Approaching Reality by Idealization: How Fluid Resistance Was Studied By Ideal Flow Theory (Michael Eckert) --
Chapter 12. Idealizations in Empirical Modeling (Julie Jebeile) --
Chapter 13. Forcing Optimality and Brandt's Principle (Domenio Napoletani) --
Chapter 14. Object Oriented Methods vs. Data Analysis: Is this the Right Alternative? (Jürgen Jost).
Series Title: Boston studies in the philosophy and history of science, volume 327.
Responsibility: Johannes Lenhard, Martin Carrier, editors.

Abstract:

In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the  Read more...

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