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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Veröffentlicht in:Discrete mathematics and theoretical computer science Jg. DMTCS Proceedings vol. AB,...; H. Proceedings; S. 141 - 154
Hauptverfasser: Lafaye de Micheaux, N., López, G., Vitiello, P., Beauvois, J. L.
Format: Journal Article Tagungsbericht
Sprache:Englisch
Veröffentlicht: DMTCS 01.01.2003
Discrete Mathematics and Theoretical Computer Science
Discrete Mathematics & Theoretical Computer Science
Schriftenreihe:DMTCS Proceedings
Schlagworte:
[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
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Beschreibung
Zusammenfassung: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