Mathematics as a Tool : Tracing New Roles of Mathematics in the Sciences /

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. I...

Full description

Saved in:
Bibliographic Details
Corporate Authors: SpringerLink Online service
Group Author: Lenhard, Johannes; Carrier, Martin
Published: Springer International Publishing : Imprint: Springer,
Publisher Address: Cham :
Publication Dates: 2017.
Literature type: eBook
Language: English
Series: Boston Studies in the Philosophy and History of Science, 327
Subjects:
Online Access: http://dx.doi.org/10.1007/978-3-319-54469-4
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 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
Carrier Form: 1 online resource (X, 286 pages): illustrations.
ISBN: 9783319544694
Index Number: GE45
CLC: X11
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 S rensen) -- Part 2. Conceptual Re-Evaluation -- Chapter 6. Boon and Bane: On the Role of Adjustable Param