Fr. 130.00

Paradoxes and Inconsistent Mathematics

English · Hardback

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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.

Product details

Authors Zach Weber, Zach (University of Otago Weber
Publisher Cambridge University Press Academic
 
Languages English
Product format Hardback
Released 31.10.2021
 
EAN 9781108834414
ISBN 978-1-108-83441-4
Dimensions 175 mm x 250 mm x 10 mm
Series Print on Demand
Subjects Natural sciences, medicine, IT, technology > Mathematics > Basic principles

PHILOSOPHY / Logic, MATHEMATICS / History & Philosophy, MATHEMATICS / Logic, Philosophy of Mathematics, Mathematical logic, Philosophy: logic

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