Studies in Universal Logic

Towards a General Theory of Classifications

Authors: Parrochia, Daniel, Neuville, Pierre

  • Takes  a comprehensive and historical approach to classification problems
  • Is first in making a connection between previously seperate domains of classification theory in applied mathematics, computer science and pure mathematics
  • Provides an original and progressive introduction to the main questions
  • Attempts to present and comment the idea of a general theory of classifications
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  • ISBN 978-3-0348-0609-1
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  • Immediate eBook download after purchase
Softcover $79.95
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  • ISBN 978-3-0348-0608-4
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  • Usually dispatched within 3 to 5 business days.
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About this book

This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field.

Table of contents (10 chapters)

  • Philosophical Problems

    Parrochia, Daniel (et al.)

    Pages 1-22

  • Information Data Structures

    Parrochia, Daniel (et al.)

    Pages 23-56

  • Empirical Clustering and Classic Hierarchies

    Parrochia, Daniel (et al.)

    Pages 57-91

  • Algebra of Trees

    Parrochia, Daniel (et al.)

    Pages 93-124

  • Generalized Classifications

    Parrochia, Daniel (et al.)

    Pages 125-145

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0348-0609-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA
  • ISBN 978-3-0348-0608-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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
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Bibliographic Information

Bibliographic Information
Book Title
Towards a General Theory of Classifications
Authors
Series Title
Studies in Universal Logic
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0609-1
DOI
10.1007/978-3-0348-0609-1
Softcover ISBN
978-3-0348-0608-4
Series ISSN
2297-0282
Edition Number
1
Number of Pages
XXIII, 304
Number of Illustrations and Tables
71 b/w illustrations, 1 illustrations in colour
Topics