In this article of the Doctor of Philosophy, professor of Taras Shevchenko Kyiv National University, Chuiko Vadim Leonidovich and Atamanchuk-Angel Valerii Ivanovich is applied the principle of «first philosophy» as the foundation of the a priori prerequisites of possible cognition, which define an existence in general rather than its individual parts. This application of metaphysics made it possible to introduce methods of «universal algebra» for the implementation of humanitarian research using algebraic description with the help of three notion: plural, operations, relation.
This methodological novation makes it possible to create demonstrative models of social systems, not their constructions, because constructionsare traditionally makeby using binary description that use only two notions, categories.
Question: How to fill the notion of «public agreement» with the actual content? How to make all generations participate in the adoption of a social contract? How to create a new one, without destroying it entirely, maintaining stability? How to ensure a high degree of mutation — rebuilding, rebuilding and construction?
Introduced in the algebraic sense, the notion of «trust» as a definition of what is necessary for the existence of a society of being as such, forms an algebra that models social relations by the operation of trust, not violence.
Based on the above, we can talk about creating a mathematical politics. Matpoliticsdeal with ideal political objects. Matpolitics is the activity of a summation of algebras. These algebras differ from each other by the choice of operations. Plurals that consist of different algebras can be the carrier of the algebra.
In this case, we are talking about the algebra of trust / credo, whose signature consists of the following operations: sovereignty, trust / credit, understanding of need for the Other, agreement and recursive procedures.
The result of the implementation of these methodological guidelines are the answers to the following questions: How to make the concept of «social agreement» really meaningful? How can all generations (and the unborn, too) be involved in the social agreement? How to create a new one, without destroying the foundations of the existing one, to realize the idea of conservative development: restructuring and building a new one?
Based on the provisions of the algebra of trust, society appears as a plurality of sovereigns — C, possessing the full range of rights to identify trust / distrust — Di, creating agreements — Yn, and for their completeness they have and understand the need for the other — Ik.
The model presented is a system of treaties that are not an abstract concept of the state, but an agreement with specific elected people who have gained the trust of those to whom they temporarily render their services. Agreements are urgent, limited by time frame, with obligatory full responsibility of the parties.
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