Logical Studies of Paraconsistent Reasoning in Science and Mathematics
(Springer, 2016)
ART 102
This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic theories are well understood by which types of paraconsistent approaches. This volume addresses such questions from different perspectives in order to (i) obtain a representative overview of the state of the art in the philosophical debate on paraconsistency, (ii) come up with fresh ideas for the future of paraconsistency, and most importantly (iii) provide paraconsistent logic with a stronger philosophical foundation, taking into account the developments within the different schools of paraconsistency.
(Description Source: Springer)
Authors
Holger Andreas is an associate professor of Philosophy and Mathematics at the University of British Columbia, Okanagan. He has also held appointments at the Munich Center for Mathematical Philosophy at LMU Munich and at the University of Bonn. His research focuses on the logical analysis of scientific reasoning and scientific theories, including interrelations between non-monotonic reasoning, belief change, and paraconsistent reasoning.
Peter Verdée is an assistant professor at the Université Catholique de Louvain.
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Paper ISBN: 9783319820569
eBook ISBN: 9783319402208
Hardcover ISBN: 9783319402185
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