Mythical systems: mathematic and logical theory

Abstract

The process of elaboration of the symbolic universe leads to exciting insights regarding the search for human emotional security. The symbols end up as explanatory axes of universal reality and on them were constructed myths that form a superstructure for belief systems. Human society is a multilevel system with a material structure (society), an ideological superstructure (belief systems, values, etc) and a supersuperstructure with two parts: mythical (origin and justification) and utopic (final goal). All mythical belief systems have a numinous-religious nature.

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.…”

Structure and Superstructures in Complex Social Systems

“…Let r i k be a doxical relation belonging to a k sheaf [1][2][3][4][5][6][7][8][9][10] ( ) , with Ù being the function "and". We define the systemic significance s and there will also be a denotative significance d-s which is what we know of the significance s of an object in Reality that we call an absolute being.…”

“…This Doxical Space or belief space is a normative superstructure and includes ways of thinking about the economic and legal normative structures. Two superstructures are involved in this approach to DIS [1][2][3][4][5][6][7][8][9][10]:…”

“…In previous works, the authors have defined social systems as Deontic Impure Systems (DIS) [1][2][3][4][5][6][7][8][9][10], and provided mathematical properties of their structure. These systems are considered impure because their elements are either living things or materials and what we know of them is constrained by our ways of thinking and may vary from person to person.…”