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Cambridge University Press

Paradoxes and Inconsistent Mathematics

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Product Code: 9781108995009
ISBN13: 9781108995009
Condition: New
$38.33
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.


Author: Zach Weber
Publisher: Cambridge University Press
Publication Date: Apr 04, 2024
Number of Pages: NA pages
Language: English
Binding: Paperback
ISBN-10: 1108995004
ISBN-13: 9781108995009

Paradoxes and Inconsistent Mathematics

$38.33
 
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.


Author: Zach Weber
Publisher: Cambridge University Press
Publication Date: Apr 04, 2024
Number of Pages: NA pages
Language: English
Binding: Paperback
ISBN-10: 1108995004
ISBN-13: 9781108995009
 

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