Paradoxes and Inconsistent Mathematics
by
Zach Weber
Book Details
Format
Paperback / Softback
ISBN-10
1108995004
ISBN-13
9781108995009
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 4th, 2024
Print length
338 Pages
Weight
590 grams
Dimensions
16.80 x 24.40 x 2.10 cms
Product Classification:
Philosophy: logicPhilosophy of mathematicsMathematical logicPhilosophy: logic
Ksh 5,500.00
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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.
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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