Document (#40101)

Author

Parrochia, D.
Neuville, D.

Title

Towards a general theory of classifications

Imprint

Basel : Birkhäuser

Year

2013

Pages

XXIII, 304 S

Isbn

978-3-0348-0608-4

Series

Studies in universal logic

Abstract

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 not 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 are 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.

Content

Philosophical problemsInformation / 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.

LCSH

Categories (Philosophy)
Classification / Mathematics
Logic, Symbolic and mathematical
Mathematics / Philosophy

RSWK

Klassifikation

BK

31.10 Mathematische Logik Mengenlehre
31.11 Ordnungen allgemeine mathematische Systeme
31.02 Philosophie und Wissenschaftstheorie der Mathematik

DDC

001.01/2 / dc23

LCC

BC172

RVK

CC 2600

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