David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
College Publications (2007)
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 the book||$31.48 new (18% off) $33.53 direct from Amazon (12% off) $44.53 used Amazon page|
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.
Citations of this work BETA
No citations found.
Similar books and articles
Francesco Berto (2008). Adynaton and Material Exclusion. Australasian Journal of Philosophy 86 (2):165 – 190.
Joachim Bromand (2002). Why Paraconsistent Logic Can Only Tell Half the Truth. Mind 111 (444):741-749.
Marcelo E. Coniglio & Newton M. Peron (2009). A Paraconsistentist Approach to Chisholm's Paradox. Principia 13 (3):299-326.
Venanzio Raspa (1999). Łukasiewicz on the Principle of Contradiction. Journal of Philosophical Research 24:57-112.
Francesco Berto (2006). Meaning, Metaphysics, and Contradiction. American Philosophical Quarterly 43 (4):283-297.
Reinhard Muskens (1999). On Partial and Paraconsistent Logics. Notre Dame Journal of Formal Logic 40 (3):352-374.
Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.) (2004). The Law of Non-Contradiction : New Philosophical Essays. Oxford University Press.
Heinrich Wansing (2006). Contradiction and Contrariety. Priest on Negation. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):81-93.
Tuomas E. Tahko (2009). The Law of Non-Contradiction as a Metaphysical Principle. Australasian Journal of Logic 7:32-47.
Greg Restall (2006). Laws of Non-Contradiction, Laws of the Excluded Middle, and Logics. In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction: New Philosophical Essays. Clarendon Press.
Added to index2009-12-06
Total downloads105 ( #10,201 of 1,101,656 )
Recent downloads (6 months)8 ( #28,147 of 1,101,656 )
How can I increase my downloads?