Studies in Applied Philosophy, Epistemology and Rational Ethics

Starry Reckoning: Reference and Analysis in Mathematics and Cosmology

Authors: Grosholz, Emily Rolfe

  • Offers a novel perspective on the epistemology of science and mathematics
  • Describes scientific knowledge as a combination of accurate reference and analytical interpretation
  • Includes philosophical case studies drawn from mathematics and cosmology
  • Fosters a philosophy of mathematics focused on mathematical practice
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eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-46690-3
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  • Immediate eBook download after purchase
Hardcover $99.99
price for USA
  • ISBN 978-3-319-46689-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book deals with a topic that has been largely neglected by philosophers of science to date: the ability to refer and analyze in tandem. On the basis of a set of philosophical case studies involving both problems in number theory and issues concerning time and cosmology from the era of Galileo, Newton and Leibniz up through the present day, the author argues that scientific knowledge is a combination of accurate reference and analytical interpretation. In order to think well, we must be able to refer successfully, so that we can show publicly and clearly what we are talking about. And we must be able to analyze well, that is, to discover productive and explanatory conditions of intelligibility for the things we are thinking about. The book’s central claim is that the kinds of representations that make successful reference possible and those that make successful analysis possible are not the same, so that significant scientific and mathematical work typically proceeds by means of a heterogeneous discourse that juxtaposes and often superimposes a variety of kinds of representation, including formal and natural languages as well as more iconic modes. It demonstrates the virtues and necessity of heterogeneity in historically central reasoning, thus filling an important gap in the literature and fostering a new, timely discussion on the epistemology of science and mathematics.

Reviews

“The book is enjoyable to read. The broad spectrum of topics and the detail in which they are discussed provide the reader with some interesting insights. In particular, the idea that mathematical analysis not only solves problems, but in the most interesting cases, explains why important problems show up in the first place is well argued and well presented.” (Sébastien Gandon, Philosophia Mathematica, September, 2017)


Table of contents (8 chapters)

  • Reference and Analysis

    Grosholz, Emily Rolfe

    Pages 1-19

  • Philosophy of Mathematics and Philosophy of History

    Grosholz, Emily Rolfe

    Pages 21-38

  • Rethinking Ampliative Reasoning

    Grosholz, Emily Rolfe

    Pages 39-58

  • Algebraic Number Theory and the Complex Plane

    Grosholz, Emily Rolfe

    Pages 59-80

  • Fermat’s Last Theorem and the Logicians

    Grosholz, Emily Rolfe

    Pages 81-102

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-46690-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA
  • ISBN 978-3-319-46689-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Starry Reckoning: Reference and Analysis in Mathematics and Cosmology
Authors
Series Title
Studies in Applied Philosophy, Epistemology and Rational Ethics
Series Volume
30
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-46690-3
DOI
10.1007/978-3-319-46690-3
Hardcover ISBN
978-3-319-46689-7
Series ISSN
2192-6255
Edition Number
1
Number of Pages
XVIII, 187
Number of Illustrations and Tables
15 b/w illustrations
Topics