Paraconsistency in Mathematics
Part of Elements in the Philosophy of Mathematics
- Author: Zach Weber, University of Otago, New Zealand
- Date Published: August 2022
- availability: Available
- format: Paperback
- isbn: 9781108995412
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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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×Product details
- Date Published: August 2022
- format: Paperback
- isbn: 9781108995412
- length: 75 pages
- dimensions: 228 x 152 x 5 mm
- weight: 0.14kg
- availability: Available
Table of Contents
1. Invitation to Paraconsistency in Mathematics: Why and How?
2. Set Theory
3. Arithmetic
4. Calculus, Topology, and Geometry
5. Whither Paraconsistency in Mathematics?
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