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Paraconsistency in Mathematics: Elements in the Philosophy of Mathematics

Autor Zach Weber
en Limba Engleză Paperback – 10 aug 2022
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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Specificații

ISBN-13: 9781108995412
ISBN-10: 1108995411
Pagini: 75
Dimensiuni: 152 x 229 x 5 mm
Greutate: 0.13 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Elements in the Philosophy of Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

1. Invitation to Paraconsistency in Mathematics: Why and How?; 2. Set Theory; 3. Arithmetic; 4. Calculus, Topology, and Geometry; 5. Whither Paraconsistency in Mathematics?

Descriere

An accessible survey of a programme in logic that allows mathematics to be inconsistent.