Topological structures of complex belief systems
MetadataShow full item record
TitleTopological structures of complex belief systems
The 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 ... [+]
The 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, 2013 [-]
Bibliographic citationNescolarde‐Selva, J. A., & Usó‐Doménech, J. L. (2013). Topological structures of complex belief systems. Complexity, 19(1), 46-62
Copyright © 2013 Wiley Periodicals, Inc.
This item appears in the folowing collection(s)
- MAT_Articles 
Showing items related by title, author, creator and subject.
Teachers’ and Learners’ Beliefs about Corrective Feedback and Error Correction in Writing at a Spanish Secondary Education Institution Rius Graullera, Ana Universitat Jaume I (2018-10-23)
Self-Efficacy, Satisfaction, and Academic Achievement: The Mediator Role of Students' Expectancy-Value Beliefs Doménech Betoret, Fernando; Abellán Roselló, Laura; Gómez Artiga, Amparo Frontiers Media (2017-07)
Ibáñez Flecha, Alba Universitat Jaume I (2018-10-01)