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008 130514s2013 sz | s |||| 0|eng d
020 _a9783034806091
_9978-3-0348-0609-1
024 7 _a10.1007/978-3-0348-0609-1
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aParrochia, Daniel.
_eauthor.
245 1 0 _aTowards a General Theory of Classifications
_h[electronic resource] /
_cby Daniel Parrochia, Pierre Neuville.
264 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2013.
300 _aXXIII, 304 p. 72 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Universal Logic
505 0 _aForeword -- 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.  .
520 _aThis 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.
650 0 _aMathematics.
650 0 _aLogic.
650 0 _aInformation storage and retrieval.
650 0 _aAlgebra.
650 0 _aOrdered algebraic structures.
650 0 _aGame theory.
650 0 _aMathematical logic.
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
650 2 4 _aLogic.
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
650 2 4 _aInformation Storage and Retrieval.
700 1 _aNeuville, Pierre.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034806084
830 0 _aStudies in Universal Logic
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0609-1
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c45241
_d45241