Paraconsistency in Mathematics
by
Zach Weber
Book Details
Format
Paperback / Softback
Book Series
Elements in the Philosophy of Mathematics
ISBN-10
1108995411
ISBN-13
9781108995412
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 11th, 2022
Print length
75 Pages
Weight
144 grams
Dimensions
15.20 x 22.60 x 1.00 cms
Product Classification:
PhilosophyMathematicsPhilosophy of mathematicsPhilosophy of science
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Paraconsistency was intended for use in mathematics, providing a rigorous framework for describing abstract objects and structures where some contradictions are allowed, without collapse into incoherence. This Element provides a selective introductory survey of this research program, distinguishing between `moderate' and `radical' approaches.
Paraconsistent logic makes it possible to study inconsistent theories in a coherent way. From its modern start in the mid-20th century, paraconsistency was intended for use in mathematics, providing a rigorous framework for describing abstract objects and structures where some contradictions are allowed, without collapse into incoherence. Over the past decades, this initiative has evolved into an area of non-classical mathematics known as inconsistent or paraconsistent mathematics. This Element provides a selective introductory survey of this research program, distinguishing between `moderate'' and `radical'' approaches. The emphasis is on philosophical issues and future challenges.
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