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Mathematics as a tooltracing new rol...

Carrier, Martin.

Mathematics as a tooltracing new roles of mathematics in the sciences /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematics as a tooledited by Johannes Lenhard, Martin Carrier.
Reminder of title:	tracing new roles of mathematics in the sciences /
other author:	Lenhard, Johannes.
Published:	Cham :Springer International Publishing :2017.
Description:	x, 286 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	MathematicsPhilosophy.
Online resource:	http://dx.doi.org/10.1007/978-3-319-54469-4
ISBN:	9783319544694$q(electronic bk.)

Mathematics as a tooltracing new roles of mathematics in the sciences /
Mathematics as a tooltracing new roles of mathematics in the sciences /[electronic resource] :edited by Johannes Lenhard, Martin Carrier. - Cham :Springer International Publishing :2017. - x, 286 p. :ill., digital ;24 cm. - Boston studies in the philosophy and history of science,v.3270068-0346 ;. - Boston studies in the philosophy and history of science ;v.295..

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 Sorensen) -- 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? (Jurgen Jost)

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 suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. 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 possible mathematical structure of the objects under consideration. Hence the tool perspective is contextual rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions.

ISBN: 9783319544694$q(electronic bk.)

Standard No.: 10.1007/978-3-319-54469-4doiSubjects--Topical Terms:

187658
Mathematics
--Philosophy.

LC Class. No.: QA8.4

Dewey Class. No.: 510.1

Mathematics as a tooltracing new roles of mathematics in the sciences /
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505 0 $a 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 Sorensen) -- 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? (Jurgen Jost)
520 $a 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 suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. 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 possible mathematical structure of the objects under consideration. Hence the tool perspective is contextual rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions.
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