Towards a General Theory of Classifications

  • Daniel Parrochia
  • Pierre Neuville

Part of the Studies in Universal Logic book series (SUL)

Table of contents

  1. Front Matter
    Pages I-XXIII
  2. Daniel Parrochia, Pierre Neuville
    Pages 1-22
  3. Daniel Parrochia, Pierre Neuville
    Pages 23-56
  4. Daniel Parrochia, Pierre Neuville
    Pages 57-91
  5. Daniel Parrochia, Pierre Neuville
    Pages 93-124
  6. Daniel Parrochia, Pierre Neuville
    Pages 125-145
  7. Daniel Parrochia, Pierre Neuville
    Pages 147-172
  8. Daniel Parrochia, Pierre Neuville
    Pages 173-208
  9. Daniel Parrochia, Pierre Neuville
    Pages 209-228
  10. Daniel Parrochia, Pierre Neuville
    Pages 229-260
  11. Daniel Parrochia, Pierre Neuville
    Pages 261-263
  12. Back Matter
    Pages 265-304

About this book

Introduction

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.

Keywords

epistemology of classifications hierarchical and overlapping classifications librarian classifications metaclassification non-associative algebra of classification trees topology of generalized classifications

Authors and affiliations

  • Daniel Parrochia
    • 1
  • Pierre Neuville
    • 2
  1. 1.Department of PhilosophyUniversité Jean Moulin - Lyon IIILyonFrance
  2. 2.Ecole Nationale Sup. des Sciences de l'IVilleurbanneFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0609-1
  • Copyright Information Springer Basel 2013
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0608-4
  • Online ISBN 978-3-0348-0609-1
  • About this book