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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.

Categories (Philosophy) --- Classification --- Logic, symbolic and mathematical --- Mathematics --- Philosophy --- Categories (Philosophy). --- Logic, Symbolic and mathematical. --- Mathematics. --- Philosophy. --- Classification. --- Mathematical Logic and Foundations. --- Order, Lattices, Ordered Algebraic Structures. --- Logic. --- Game Theory, Economics, Social and Behav. Sciences. --- Information Storage and Retrieval. --- Information storage and retrieval systems. --- Algebra. --- Systèmes d'information --- Algèbre --- Logique symbolique et mathématique --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Information storage and retrieva. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Psychology --- Science --- Reasoning --- Thought and thinking --- Mathematical analysis --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Math --- Methodology --- Automatic data storage --- Automatic information retrieval --- Automation in documentation --- Computer-based information systems --- Data processing systems --- Data storage and retrieval systems --- Discovery systems, Information --- Information discovery systems --- Information processing systems --- Information retrieval systems --- Machine data storage and retrieval --- Mechanized information storage and retrieval systems --- Computer systems --- Electronic information resources --- Data libraries --- Digital libraries --- Information organization --- Information retrieval --- Mathematical logic. --- Ordered algebraic structures. --- Game theory. --- Information storage and retrieval. --- Games, Theory of --- Theory of games --- Mathematical models --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Algebra --- Information retrieval. --- Information organization. --- Information storage and retrieval --- Organization of information --- Information science --- Information storage and retrieval systems --- Data retrieval --- Data storage --- Discovery, Information --- Information discovery --- Retrieval of information --- Documentation --- Classification - Mathematics --- Mathematics - Philosophy