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Paraconsistency in Mathematics, PDF eBook

Paraconsistency in Mathematics PDF

Part of the Elements in the Philosophy of Mathematics series

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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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