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Paradoxes and Inconsistent Mathematics

Paradoxes and Inconsistent Mathematics

Zach Weber

Cambridge University Press
Publication date : 2021-10-21

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Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.

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About the book

Author

Zach Weber

Imprint

Cambridge University Press

Collection

n.c

Publication date

2021-10-21

Pages

n.c

Print ISBN

9781108834414

Language

English

Ebook informations

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9781108999243

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£28.47

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File size 7875 Ko

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EAN EPUB

9781108999021

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£28.47

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File size 3318 Ko

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Zach Weber

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