Logic List Mailing Archive

Paraconsistency and paraconsistent Logics

24 Jul 2013
Bonn, Germany

Workshop on Paraconsistency and Paraconsistent Logics
Rheinische Friedrich-Wilhelms-Universität Bonn
Institute of Philosophy

??ccording to classical logic a sentence can either be true or false, but 
not both at the same time. However classical paradoxes, e.g. the 
liar-paradox, which are known since ancient Greek times, suggest that 
there actually are sentences who do not seem to fit in the classical 
scheme.

??ake for example ?This sentence is false?. That sentence is true if and 
only if it is false. Using the laws of classical logic this entails that 
the sentence is both true and false, but then the explosion-rule of 
classical logic can be used to deduce the triviality of the whole system. 
(The explosion-rule states that a contradiction entails every sentence.)

??et paraconsistent theories do not rule out true contradictions, i.e. 
true sentences, whose negation is true as well. Hence a non-classical 
logic is needed in order to avoid trivialism.

??o provide the logical framework for such theories paraconsistent logic 
modifies classical reasoning. Classical rules, such as the explosion-rule, 
have to be modified in order to maintain a truth-preserving notion of 
validity.

??he workshop is open to everybody interested in an introduction to 
paraconsistent reasoning, as well as an outlook in the fascinating 
problems of this area of research.

??he workshop takes place on July 24th 2013 in the ?großer Übungsraum? 
(room number 1.070) of the Institute of Philosophy, located in the main 
building of the Rheinische Friedrich-Wilhelms-Universität Bonn (Am Hof 1).

??he talks of the workshop will be held in English.

There is no participation fee, but we would like you to register for the 
workshop.

??chedule:

11:00 ? 12:30    Introduction

12:30 ? 14:00    Lunch break

14:00 ? 15:30    Graham Priest: Paraconsistent Set Theory

15:30 ? 17:00    Heinrich Wansing: Intuitionistic negation as a 
paraconsistent negation

17:00 ? 17:30    Coffee break

17:30 ? 19:00    Ole Hjortland: TBA

??rganized by: Chair for Logic and fundamental research Prof. Dr. Elke 
Brendel Jan Goerke M.A.

In order to register contact: goerke@uni-bonn.de