Towards a General Theory of Classifications

Buch | Softcover
XXIII, 304 Seiten
2013 | 2013
Springer Basel (Verlag)
978-3-0348-0608-4 (ISBN)

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Towards a General Theory of Classifications - Daniel Parrochia, Pierre Neuville
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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.
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.

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.

Erscheint lt. Verlag 31.5.2013
Reihe/Serie Studies in Universal Logic
Zusatzinfo XXIII, 304 p. 72 illus., 1 illus. in color.
Verlagsort Basel
Sprache englisch
Maße 168 x 240 mm
Gewicht 551 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Schlagworte epistemology of classifications • hierarchical and overlapping classifications • Klassifikation • librarian classifications • metaclassification • non-associative algebra of classification trees • topology of generalized classifications
ISBN-10 3-0348-0608-6 / 3034806086
ISBN-13 978-3-0348-0608-4 / 9783034806084
Zustand Neuware
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