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Towards a General Theory of Classifications (Studies in Universal Logic)

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Towards a General Theory of Classifications (Studies in Universal Logic) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book provides an original and progressive introduction to the main questions of the theory of classification. It makes connections between previously separate domains of classification theory in applied mathematics, computer science and pure mathematics.

Table of Contents

Foreword.- 1 Philosophical problems.- 2 Information data structures.- 3 Empirical Clustering and classic hierarchies.- 4 Algebra of trees.- 5 Generalized Classifications.- 6 Topology of generalized classifications.- 7 Meta-classification.- 8 For an axiomatic theory of classifications.- 9 Alternative theories and higher infinite.- 10 Postscript.- Bibliography.

Product Details

ISBN:
9783034806084
Author:
Parrochia, Daniel
Publisher:
Birkhauser
Author:
Neuville, Pierre
Subject:
Logic
Subject:
epistemology of classifications
Subject:
hierarchical and overlapping classifications
Subject:
librarian classifications
Subject:
metaclassification
Subject:
non-associative algebra of classification trees
Subject:
topology of generalized classifications
Subject:
Mathematical Logic and Foundations
Subject:
Order, Lattices, Ordered Algebraic Structures
Subject:
Game Theory, Economics, Social and Behav. Sciences
Subject:
Information storage and retrieval.
Subject:
PHILOSOPHY / Logic
Copyright:
Edition Description:
2013
Series:
Studies in Universal Logic
Publication Date:
20130315
Binding:
TRADE PAPER
Language:
English
Pages:
327
Dimensions:
240 x 168 mm

Related Subjects

Computers and Internet » Internet » Information
Humanities » Philosophy » General
Humanities » Philosophy » Logic
Reference » Science Reference » General
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy

Towards a General Theory of Classifications (Studies in Universal Logic) Used Trade Paper
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Product details 327 pages Birkhauser - English 9783034806084 Reviews:
"Synopsis" by , This book provides an original and progressive introduction to the main questions of the theory of classification. It makes connections between previously separate domains of classification theory in applied mathematics, computer science and pure mathematics.
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