College Publications (2007)

Authors
Franz Berto
University of St. Andrews
Abstract
There is a principle in things, about which we cannot be deceived, but must always, on the contrary, recognize the truth – viz. that the same thing cannot at one and the same time be and not be": with these words of the Metaphysics, Aristotle introduced the Law of Non-Contradiction, which was to become the most authoritative principle in the history of Western thought. However, things have recently changed, and nowadays various philosophers, called dialetheists, claim that this Law does not hold unrestrictedly – that in peculiar circumstances the same thing may at the same time be and not be, and contradictions may obtain in the world. This book opens with an examination of the famous logical paradoxes that appear to speak on behalf of contradictions (e.g., the Liar paradox, the set-theoretic paradoxes such as Cantor’s and Russell’s), and of the reasons for the failure of the standard attempts to solve them. It provides, then, an introduction to paraconsistent logics – non-classical logics in which the admission of contradictions does not lead to logical chaos –, and their astonishing applications, going from inconsistent data base management to contradictory arithmetics capable of circumventing Gödel’s celebrated Incompleteness Theorem. The final part of the book discusses the philosophical motivations and difficulties of dialetheism, and shows how to extract from Aristotle’s ancient words a possible reply to the dialetheic challenge. How to Sell a Contradiction will appeal to anyone interested in non-classical logics, analytic metaphysics, and philosophy of mathematics, and especially to those who consider challenging our most entrenched beliefs the main duty of philosophical inquiry.
Keywords Law of Non-Contradiction  Paraconsistent Logics  Logical Paradoxes
Categories (categorize this paper)
Buy this book Find it on Amazon.com
ISBN(s) 1904987435
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 58,348
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Impossible Worlds.Francesco Berto - 2013 - Stanford Encyclopedia of Philosophy (2013).
Paraconsistent Logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
Existence as a Real Property.Francesco Berto - 2012 - Synthèse Library, Springer.
Absolute Contradiction, Dialetheism, and Revenge.Francesco Berto - 2014 - Review of Symbolic Logic 7 (2):193-207.
Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).

View all 17 citations / Add more citations

Similar books and articles

Άδύνατον and Material Exclusion 1.Francesco Berto - 2008 - Australasian Journal of Philosophy 86 (2):165 – 190.
The Law of Non-Contradiction as a Metaphysical Principle.Tuomas Tahko - 2009 - Australasian Journal of Logic 7:32-47.
Contradiction and Contrariety. Priest on Negation.Heinrich Wansing - 2006 - Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):81-93.
On Partial and Paraconsistent Logics.Reinhard Muskens - 1999 - Notre Dame Journal of Formal Logic 40 (3):352-374.
Meaning, Metaphysics, and Contradiction.Francesco Berto - 2006 - American Philosophical Quarterly 43 (4):283-297.
Łukasiewicz on the Principle of Contradiction.Venanzio Raspa - 1999 - Journal of Philosophical Research 24:57-112.
A Paraconsistentist Approach to Chisholm's Paradox.Marcelo Esteban Coniglio & Newton Marques Peron - 2009 - Principia: An International Journal of Epistemology 13 (3):299-326.

Analytics

Added to PP index
2009-12-06

Total views
174 ( #56,043 of 2,420,317 )

Recent downloads (6 months)
1 ( #542,912 of 2,420,317 )

How can I increase my downloads?

Downloads

My notes