03306nam a22005297a 4500001001500000003000900015005001700024007001500041008004100056020001800097024003500115050001500150072001600165072001700181072002300198082001400221100003200235245011200267264006100379300006600440336002600506337002600532338003600558347002400594490003100618505038100649520117701030650001702207650001102224650003902235650001302274650003402287650001702321650002402338650001702362650004002379650005102419650001102470650005602481650003902537700003102576710003402607773002002641776003602661830003102697856004802728sulb-eb0023149BD-SySUS20160413122337.0cr nn 008mamaa130514s2013 sz | s |||| 0|eng d a97830348060917 a10.1007/978-3-0348-0609-12doi 4aQA8.9-10.3 7aPBC2bicssc 7aPBCD2bicssc 7aMAT0180002bisacsh04a511.32231 aParrochia, Daniel.eauthor.10aTowards a General Theory of Classificationsh[electronic resource] /cby Daniel Parrochia, Pierre Neuville. 1aBasel :bSpringer Basel :bImprint: Birkhäuser,c2013. aXXIII, 304 p. 72 illus., 1 illus. in color.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aStudies in Universal Logic0 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. . 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. 0aMathematics. 0aLogic. 0aInformation storage and retrieval. 0aAlgebra. 0aOrdered algebraic structures. 0aGame theory. 0aMathematical logic.14aMathematics.24aMathematical Logic and Foundations.24aOrder, Lattices, Ordered Algebraic Structures.24aLogic.24aGame Theory, Economics, Social and Behav. Sciences.24aInformation Storage and Retrieval.1 aNeuville, Pierre.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783034806084 0aStudies in Universal Logic40uhttp://dx.doi.org/10.1007/978-3-0348-0609-1