Towards a General Theory of Classifications

Front Cover
Springer Science & Business Media, May 14, 2013 - Mathematics - 304 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Philosophical Problems
1
Information Data Structures
23
Empirical Clustering and Classic Hierarchies
57
Algebra of Trees
92
Generalized Classifications
125
Topology of Generalized Classifications
147
Metaclassification
173
For an Axiomatic Theory of Classifications
209
Alternative Theories and Higher Infinite
229
Postscript
261
References
264
Index of Notations
285
Index of Names
288
Subject Index
297
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information