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dc.contributor.authorNescolarde Selva, Josué Antonio
dc.contributor.authorUsó Doménech, Josep Lluís
dc.date.accessioned2014-05-23T11:29:42Z
dc.date.available2014-05-23T11:29:42Z
dc.date.issued2013-09-06
dc.identifier.citationNescolarde‐Selva, J. A., & Usó‐Doménech, J. L. (2013). Topological structures of complex belief systems. Complexity, 19(1), 46-62ca_CA
dc.identifier.issn1099-0526
dc.identifier.issn1076-2787
dc.identifier.urihttp://hdl.handle.net/10234/93470
dc.description.abstractThe concepts of substantive beliefs and derived beliefs are defined, a set of substantive beliefs S like open set and the neighborhood of an element substantive belief. A semantic operation of conjunction is defined with a structure of an Abelian group. Mathematical structures exist such as poset beliefs and join-semilattttice beliefs. A metric space of beliefs and the distance of belief depending on the believer are defined. The concepts of closed and opened ball are defined. S′ is defined as subgroup of the metric space of beliefs Σ and S′ is a totally limited set. The term s is defined (substantive belief) in terms of closing of S′. It is deduced that Σ is paracompact due to Stone's Theorem. The pseudometric space of beliefs is defined to show how the metric of the nonbelieving subject has a topological space like a nonmaterial abstract ideal space formed in the mind of the believing subject, fulfilling the conditions of Kuratowski axioms of closure. To establish patterns of materialization of beliefs we are going to consider that these have defined mathematical structures. This will allow us to understand better cultural processes of text, architecture, norms, and education that are forms or the materialization of an ideology. This materialization is the conversion by means of certain mathematical correspondences, of an abstract set whose elements are beliefs or ideas, in an impure set whose elements are material or energetic. Text is a materialization of ideology. © 2013 Wiley Periodicals, Inc. Complexity 19: 46–62, 2013ca_CA
dc.format.extent17 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherWileyca_CA
dc.relation.isPartOfComplexity (2013), 19, 1ca_CA
dc.rightsCopyright © 2013 Wiley Periodicals, Inc.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectbelief materializationca_CA
dc.subjectbelief systemca_CA
dc.subjectconnotative significanceca_CA
dc.subjectderived beliefsca_CA
dc.subjectstructurating structureca_CA
dc.subjectsubstantive beliefsca_CA
dc.titleTopological structures of complex belief systemsca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1002/cplx.21455
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttp://onlinelibrary.wiley.com/doi/10.1002/cplx.21455/fullca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersion


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