Mathematics as a Tool

Tracing New Roles of Mathematics in the Sciences

Autor: Johannes Lenhard, Martin Carrier

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Editura: Springer International Publishing AG

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This book puts forward a new role for mathematics in the natural sciences. In the traditional unders...

Informații despre carte

Autor

Johannes Lenhard, Martin Carrier

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2018

Pagini

286

EAN

9783319854007

Enbook ID

20094045

Editura

Springer International Publishing AG

Greutate

615

Dimensiuni

155 x 235 x 13

Descriere completă

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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Mathematics as a Tool

Tracing New Roles of Mathematics in the Sciences

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