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.
By:
Zach Weber (University of Otago New Zealand) Imprint: Cambridge University Press Country of Publication: United Kingdom Dimensions:
Height: 250mm,
Width: 175mm,
Spine: 25mm
Weight: 760g ISBN:9781108834414 ISBN 10: 1108834418 Pages: 260 Publication Date:21 October 2021 Audience:
Professional and scholarly
,
Undergraduate
Format:Hardback Publisher's Status: Active
Zach Weber is Associate Professor of Philosophy at the University of Otago, New Zealand.