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Synthese Library

Mathematics and Its Applications

A Transcendental-Idealist Perspective

Editors: da Silva, Jairo José (Ed.)

  • Offers a new approach to the philosophy of mathematics
  • Presents a new version of mathematical structuralism
  • Provides a fresh perspective on the applicability of mathematics in science
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Buy this book

eBook $69.99
price for USA (gross)
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 12, 2017
  • ISBN 978-3-319-63073-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $99.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: September 14, 2017
  • ISBN 978-3-319-63072-4
  • Free shipping for individuals worldwide
About this book

This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism.
The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is.
The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies.

About the authors

Professor of Mathematics (retired) – State University of São Paulo, my main interests are the philosophy of formal and empirical sciences, phenomenology and the foundations of mathematics, fields which concentrate my publications. I am the co-author, together with Claire Ortiz Hill, of the book The Road Not Taken – On Husserl’s Philosophy of Logic and Mathematics (London: College Publications, 2013). I am a member of the Centre of Philosophy of the University of Lisbon and a researcher at the National Council of Scientific and Technological Development (CNPq) of the Brazilian Ministry of Science and Technology.

Buy this book

eBook $69.99
price for USA (gross)
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 12, 2017
  • ISBN 978-3-319-63073-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $99.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: September 14, 2017
  • ISBN 978-3-319-63072-4
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics and Its Applications
Book Subtitle
A Transcendental-Idealist Perspective
Editors
  • Jairo José da Silva
Series Title
Synthese Library
Series Volume
385
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-63073-1
DOI
10.1007/978-3-319-63073-1
Hardcover ISBN
978-3-319-63072-4
Edition Number
1
Number of Pages
VII, 276
Topics