Topological structures of complex belief systems (II): Textual materialization

Abstract

Mythical and religious belief systems in a social context can be regarded as a conglomeration of sacrosanct rites, which revolve around substantive values that involve an element of faith. Moreover, we can conclude that ideologies, myths and beliefs can all be analyzed in terms of systems within a cultural context. The significance of being able to define ideologies, myths and beliefs as systems is that they can figure in cultural explanations. This, in turn, means that such systems can figure in logic‐mathematical analyses. © 2013 Wiley Periodicals, Inc. Complexity 19: 50–62, 2013

What Are Ideological Systems?

“…In the Deontical Impure Systems (DIS) (Impure sets and their mathematical properties have been previously defined in Nescolarde Selva et al [27]) approach, the superstructure of social systems has been divided in two [27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

“…The believers work together and then experts work out what is the correct behavior, the "right" values and so on; (4) Language. A language L is the logical expression of an ideology relating one substantive (Substantive beliefs [36,37] make up a system's axioms, and most of the beliefs make up their theorems) belief [27][28][29][30][31][32][33][34][35][36][37][38][39] to the others in the belief system. Language is understood from repeated patterns in the use of sets of beliefs.…”

Ideological Complex Systems: Mathematical Theory

“…Theory of deontical impure systems is described in a number of previous: Nescolarde‐Selva et al ; Nescolarde‐Selva and Usó‐Doménech, ; Usó‐Doménech and Nescolarde‐Selva . Definition A deontic impure system (DIS) is a system in which at least one of its relations has deontical properties: permission, prohibition, obligation, and faculty.…”

Chebanov law and Vakar formula in mathematical models of complex systems

“…Hence, the text is a linguistic behaviour sample that can be written or spoken. A text designates a written enunciation, it may be, long or short, ancient or new (Nescolarde-Selva and Usó-Doménech, 2013;Usó-Doménech and Nescolarde-Selva, 2012). The word STOP is so text as Hamlet.…”

“…A mathematical model will be a text if the following conditions are met (NescolardeSelva and Usó-Doménech, 2013;Sastre-Vazquez et al, 1999;Usó-Doménech and Nescolarde-Selva, 2012):…”