Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Paradoxes and Inconsistent Mathematics
  • Cited by 25
Publisher:
Cambridge University Press
Online publication date:
October 2021
Print publication year:
2021
Online ISBN:
9781108993135
DOI:
https://doi.org/10.1017/9781108993135
Subjects:
Mathematics, Logic, Categories and Sets, Logic, Philosophy
Information

Book description

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.

Reviews

‘Zach Weber’s Paradoxes and Inconsistent Mathematics is easily one of the most important books in inconsistent mathematics - and contradiction-involving theories in general - since the pioneering books of Chris Mortensen (1995), Graham Priest (1987) and Richard Sylvan (formerly Routley) (1980) … Not since said pioneering works have I encountered a more important book on would-be true contradictory theories than Weber’s … The development of such inconsistent maths from the pioneering ideas … to Weber’s latest work is as significant as the development from chiseling stone tablets to recent smart phones.’

Jc Beall Source: Notre Dame Philosophical Reviews

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents
References

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Accessibility standard: Unknown

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.