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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.
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