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Constructive Negations and Paraconsistency (Paperback, Softcover reprint of hardcover 1st ed. 2008)
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Constructive Negations and Paraconsistency (Paperback, Softcover reprint of hardcover 1st ed. 2008)
Series: Trends in Logic, 26
Expected to ship within 18 - 22 working days
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Thetitleofthisbookmentionstheconceptsofparaconsistencyandconstr-
tive logic. However, the presented material belongs to the ?eld of
parac- sistency, not to constructive logic. At the level of
metatheory, the classical methods are used. We will consider two
concepts of negation: the ne- tion as reduction to absurdity and
the strong negation. Both concepts were developed in the setting of
constrictive logic, which explains our choice of the title of the
book. The paraconsistent logics are those, which admit - consistent
but non-trivial theories, i. e. , the logics which allow one to
make inferences in a non-trivial fashion from an inconsistent set
of hypotheses. Logics in which all inconsistent theories are
trivial are called explosive. The indicated property of
paraconsistent logics yields the possibility to apply them in
di?erent situations, where we encounter phenomena relevant (to some
extent) to the logical notion of inconsistency. Examples of these
si- ations are (see [86]): information in a computer data base;
various scienti?c theories; constitutions and other legal
documents; descriptions of ?ctional (and other non-existent)
objects; descriptions of counterfactual situations; etc. The
mentioned survey by G. Priest [86] may also be recommended for a
?rst acquaintance with paraconsistent logic. The study of the
paracons- tency phenomenon may be based on di?erent philosophical
presuppositions (see, e. g. , [87]). At this point, we emphasize
only one fundamental aspect of investigations in the ?eld of
paraconsistency. It was noted by D. Nelson in [65, p.
General
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