Joao Marcos
Universidade Federal do Rio Grande do Norte
In classical logic, a contradiction allows one to derive every other sentence of the underlying language; paraconsistent logics came relatively recently to subvert this explosive principle, by allowing for the subsistence of contradictory yet non-trivial theories. Therefore our surprise to find Wittgenstein, already at the 1930s, in comments and lectures delivered on the foundations of mathematics, as well as in other writings, counseling a certain tolerance on what concerns the presence of contradictions in a mathematical system. ‘Contradiction. Why just this spectre? This is really very suspicious.’ In the last decades, several authors have been digging into Wittgenstein’s rather non-standard standpoint on what concerns the interpretation and import of contradiction in logic and mathematics, and many other authors have been investigating the possibility of taking Wittgenstein seriously as one of the early forerunners of paraconsistency. While many advances have been made on the first front, the second set of investigations has led almost exclusively to negative results: no, no operational proposal about the construction of a logic in which contradictions are made inoffensive can be read from Wittgenstein’s philosophical work; in fact, it appears that the most one can find there is the exhortation for mathematicians to alter their attitude with respect to contradictions and to consistency proofs. The play is done, and one looks for a resume of the opera. This paper fills that blank, as a thorough investigation of the possible relations between Wittgenstein and paraconsistency.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.5007/1808-1711.2010v14n1p135
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 60,826
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Wittgenstein & Paraconsistência.João Marcos - 2010 - Principia: An International Journal of Epistemology 14 (1):135-73.
The Development of Wittgenstein's Views on Contradiction.Laurence Goldstein - 1986 - History and Philosophy of Logic 7 (1):43-56.
Wittgenstein's Attitude Toward Contradiction.Seung-Chong Lee - 1992 - Dissertation, State University of New York at Buffalo
The Gödel Paradox and Wittgenstein's Reasons.Francesco Berto - 2009 - Philosophia Mathematica 17 (2):208-219.
Wittgenstein's Later Logic.B. H. Slater - 1979 - Philosophy 54 (208):199 - 209.
Wittgenstein, Philosophy and Logic.Ilham Dilman - 1970 - Analysis 31 (2):33 - 42.
Wittgenstein’s Early Philosophy of Mathematics.Steven F. Savitt - 1979 - Philosophy Research Archives 5:539-553.
Wittgenstein.Anthony Kenny - 2008 - Wiley-Blackwell.
Wittgenstein.Anthony Kenny - 2005 - Wiley-Blackwell.
On Some Much Maligned Remarks of Wittgenstein on Gödel.Charles Sayward - 2001 - Philosophical Investigations 24 (3):262–270.
The Influence of Einstein on Wittgenstein's Philosophy.Carlo Penco - 2010 - Philosophical Investigations 33 (4):360-379.


Added to PP index

Total views
9 ( #908,821 of 2,438,798 )

Recent downloads (6 months)
1 ( #436,491 of 2,438,798 )

How can I increase my downloads?


My notes