Janus-Faced Probability

Authors: Rocchi, Paolo

  • Suggests new ideas to address the interpretation of probability
  • Original approach and new perspectives
  • Clarifies the multi fold nature of probability by means of a purely mathematical approach
see more benefits

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-319-04861-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-04860-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
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: October 21, 2016
  • ISBN 978-3-319-35595-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

The problem of probability interpretation was long overlooked before exploding in the 20th century, when the frequentist and subjectivist schools formalized two conflicting conceptions of probability. Beyond the radical followers of the two schools, a circle of pluralist thinkers tends to reconcile the opposing concepts. The author uses two theorems in order to prove that the various interpretations of probability do come into opposition and can be used in different contexts. The goal here is to clarify the multi fold nature of probability by means of a purely mathematical approach and to show how philosophical arguments can only serve to deepen actual intellectual contrasts. The book can be considered as one of the most important contributions in the analysis of probability interpretation in the last 10-15 years.

About the authors

Prof. Rocchi has already produced original proposals in various research fields such as computing, reliability theory, didactics and software programming and this book also suggests a creative solution.

Reviews

“I highly recommend this book for those readers interested in an accessible introduction to the problems related to the foundations of probability theory and statistics, with a very interesting compilation of references on the subject. Beside this, the ideas presented in the book open the door to interesting research inquiries in the field, especially those related to the foundations of quantum probability theory, quantum information theory and quantum statistical techniques.” (Federico Holik, Mathematical Reviews, December, 2015)

“Rocchi (IBM and LUISS Univ., Italy) begins by discussing two of these, the frequentist and the subjectivist approaches. … Each of the book's ten chapters ends with a list of recent papers on the topic, and the book ends with an interesting series of three appendixes. … This specialized work will mainly appeal to philosophers of probability. Summing Up: Recommended. Only comprehensive mathematics collections serving researchers/faculty.” (M. Bona, Choice, Vol. 52 (9), May, 2015)


Table of contents (10 chapters)

  • Interpretations of Probability

    Rocchi, Paolo

    Pages 3-8

  • A Mathematical Approach to the Interpretation Problem

    Rocchi, Paolo

    Pages 9-22

  • Probability Validation

    Rocchi, Paolo

    Pages 23-37

  • About the Compatibility of the Diverging Interpretations

    Rocchi, Paolo

    Pages 39-44

  • Criticism on the Philosophical Pollution

    Rocchi, Paolo

    Pages 45-55

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-319-04861-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-04860-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
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: October 21, 2016
  • ISBN 978-3-319-35595-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Janus-Faced Probability
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04861-1
DOI
10.1007/978-3-319-04861-1
Hardcover ISBN
978-3-319-04860-4
Softcover ISBN
978-3-319-35595-5
Edition Number
1
Number of Pages
XIII, 147
Number of Illustrations and Tables
26 b/w illustrations
Topics