Formalizing the transformations of a cognitive universe

In an effort to continue the pioneering work of Harary in USA and Flament in France, we have undertaken to develop, on an experimental basis, a formalized theory of systems of beliefs and their modifications. This theory uses the psycho-social concepts of theories of cognitive consistency and of the...

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Bibliographic Details
Published in:Discrete mathematics and theoretical computer science Vol. DMTCS Proceedings vol. AB,...; no. Proceedings; pp. 141 - 154
Main Authors: Lafaye de Micheaux, N., López, G., Vitiello, P., Beauvois, J. L.
Format: Journal Article Conference Proceeding
Language:English
Published: DMTCS 01.01.2003
Discrete Mathematics and Theoretical Computer Science
Discrete Mathematics & Theoretical Computer Science
Series:DMTCS Proceedings
Subjects:
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
[math.math-co] mathematics [math]/combinatorics [math.co]
[nlin.nlin-cg] nonlinear sciences [physics]/cellular automata and lattice gases [nlin.cg]
Cellular Automata and Lattice Gases
Combinatorics
Computer Science
consistency
Discrete Mathematics
graphs of beliefs
Mathematics
Nonlinear Sciences
rewriting
graphs of beliefs
rewriting
consistency
ISSN:1365-8050, 1462-7264, 1365-8050
Online Access:Get full text
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Summary:In an effort to continue the pioneering work of Harary in USA and Flament in France, we have undertaken to develop, on an experimental basis, a formalized theory of systems of beliefs and their modifications. This theory uses the psycho-social concepts of theories of cognitive consistency and of the tools of discrete mathematics, such as rewriting and intervals within graphs. The axioms and rewriting rules are elaborated from experimental data, and we demonstrate that the system we have built has the property of termination. This result is in accordance with experimental observations that show that every subject having an inconsistent system of beliefs (i.e., one containing contradictions) makes this system evolve towards consistency to reach a simple, consistent reference framework.
ISSN:1365-8050
1462-7264
1365-8050
DOI:10.46298/dmtcs.2303