Zach Weber

Paraconsistency in Mathematics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 11. August 2022
• Englisch
• ISBN-13: 9781009003704
• Artikelnr.: 66176120

Inhaltsangabe

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