The Resource Mathematics as a Tool : Tracing New Roles of Mathematics in the Sciences, edited by Johannes Lenhard, Martin Carrier, (electronic resource)
Mathematics as a Tool : Tracing New Roles of Mathematics in the Sciences, edited by Johannes Lenhard, Martin Carrier, (electronic resource)
 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 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, tooluse 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
 Language
 eng
 Extent
 X, 286 p. 28 illus., 10 illus. in 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 QuasiCrystals (Henrik Kragh Sørensen)
 Part 2. Conceptual ReEvaluation
 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{u2013}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{u2019}s Principle (Domenio Napoletani)
 Chapter 14. Object Oriented Methods vs. Data Analysis: Is this the Right Alternative? (Jürgen Jost)
 Isbn
 9783319544694
 Label
 Mathematics as a Tool : Tracing New Roles of Mathematics in the Sciences
 Title
 Mathematics as a Tool
 Title remainder
 Tracing New Roles of Mathematics in the Sciences
 Statement of responsibility
 edited by Johannes Lenhard, Martin Carrier
 Language
 eng
 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 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, tooluse 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
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Boston Studies in the Philosophy and History of Science,
 Series volume
 327
 Label
 Mathematics as a Tool : Tracing New Roles of Mathematics in the Sciences, edited by Johannes Lenhard, Martin Carrier, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 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 QuasiCrystals (Henrik Kragh Sørensen)  Part 2. Conceptual ReEvaluation  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{u2013}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{u2019}s Principle (Domenio Napoletani)  Chapter 14. Object Oriented Methods vs. Data Analysis: Is this the Right Alternative? (Jürgen Jost)
 http://library.link/vocab/cover_art
 https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319544694&userID=ebscotest&password=ebscotest
 Dimensions
 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b4258838'}
 Extent
 X, 286 p. 28 illus., 10 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319544694
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 online resource.
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 Reformatting quality
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/MathematicsasaToolTracingNewRolesof/WWdjGZhksk/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/MathematicsasaToolTracingNewRolesof/WWdjGZhksk/">Mathematics as a Tool : Tracing New Roles of Mathematics in the Sciences, edited by Johannes Lenhard, Martin Carrier, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>