Paradoxes and Inconsistent Mathematics
by
Zach Weber
Book Details
Format
Hardback or Cased Book
ISBN-10
1108834418
ISBN-13
9781108834414
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 21st, 2021
Print length
260 Pages
Weight
756 grams
Dimensions
17.70 x 25.10 x 2.70 cms
Product Classification:
Philosophy: logicPhilosophy of mathematicsMathematical logic
Ksh 14,050.00
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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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