Reason and irrationality in the representation of knowledge

How is it possible that beginning from the negation of rational thoughts (i.e. from the failure in the representation of knowledge, taking place through the presence of contradictory informations) one comes to produce knowledge? This problem, besides its intrinsic interest, acquires a great relevanc...

Full description

Bibliographic Details
Authors: Carnielli, Walter A., Marques, Mamede Lima
Format: article
Status:Published version
Publication Date:1991
Country:Brasil
Institution:Universidade Estadual Paulista (UNESP)
Repository:Trans/Form/Ação (Online)
Language:Portuguese
OAI Identifier:oai:ojs.www2.marilia.unesp.br:article/12315
Online Access:https://revistas.marilia.unesp.br/index.php/transformacao/article/view/12315
Access Level:Open access
Keyword:Inconsistency and triviality
paraconsistent logics
meta systems
semantics of paraconsistent logics
semantics of possible translations
Inconsistência e trivialidade
Lógicas Paraconsistentes
Sistema Meta
Semântica das Lógicas Paraconsistentes
Semântica das Traduções Possíveis
Description
Summary:How is it possible that beginning from the negation of rational thoughts (i.e. from the failure in the representation of knowledge, taking place through the presence of contradictory informations) one comes to produce knowledge? This problem, besides its intrinsic interest, acquires a great relevance when the representation of a knowledge is settled, for example, on data and automatic reasoning. Many treatment ways have been tried, as in the case of the non-monotonic logics; logics that intend to formalize an idea of reasoning by default, etc. These attempts are incomplete and are subject to failure. A possible solution would be to formulate a logic of the irrational, which offers a model for reasoning permitting to support contradictions as well as to produce knowledge from such situations. An intuition underlying the foundation of such a logic consists of the da Costa's paraconsistent logics presenting however, a different deduction theory and a whole distinct semantics, called here "the semantics of possible translations". The present proposing, following our argumentation, intends to enlight all this question, by a whole satisfactory logical point of view, being practically applicable and philosophically acceptable.