Towards a General Theory of Classifications Studies in Universal Logic 2013th Edition by Daniel Parrochia ,Pierre Neuville ISBN 3034806086 978-3034806084

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Product details: 

ISBN 10:3034806086 

ISBN 13:978-3034806084

Author:Daniel Parrochia ,Pierre Neuville

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: 

Philosophical Problems
Information Data Structures
Empirical Clustering and Classic Hierarchies
Algebra of Trees
Generalized Classifications
Topology of Generalized Classifications
Metaclassification
For an Axiomatic Theory of Classifications
Alternative Theories and Higher Infinite
Postscript

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Tags: Daniel Parrochia, Pierre Neuville, Towards, General