Defining Cognitive Logics by Non-Classical Tableau Rules

Studies in Logic, Grammar and Rhetoric. 2016;48(1):151-170 DOI 10.1515/slgr-2016-0060

 

Journal Homepage

Journal Title: Studies in Logic, Grammar and Rhetoric

ISSN: 0860-150X (Print); 2199-6059 (Online)

Publisher: Sciendo

Society/Institution: University of Bialystok

LCC Subject Category: General Works: History of scholarship and learning. The humanities

Country of publisher: Poland

Language of fulltext: English

Full-text formats available: PDF

 

AUTHORS

Jarmużek Tomasz (Nicolaus Copernicus University in Toruń, Poland)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 6 weeks

 

Abstract | Full Text

In the paper we propose a new approach to formalization of cognitive logics. By cognitive logics we understand supraclassical, but non-trivial consequence operations, defined in a propositional language. We extend some paradigm of tableau methods, in which classical consequence Cn is defined, to stronger logics - monotonic, as well as non-monotonic ones - by specific use of non-classical tableau rules. So far, in that context tableaus have been treated as a way of formalizing other approaches to supraclassical logics, but we use them autonomically to generate various consequence operations. It requires a description of the hierarchy of non-classical tableau rules that result in different supraclassical consequence operations, so we give it.