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Mathematical modeling of systems, its nature and limits of applicability
Kybernetes ( IF 2.5 ) Pub Date : 2020-12-14 , DOI: 10.1108/k-06-2020-0393
Evgeny Volchenkov

Purpose

The purpose of this paper is to establish the nature of mathematical modeling of systems within the framework of the object-semantic methodology.

Design/methodology/approach

The initial methodological position of the object-semantic approach is the principle of constructing concepts of informatics proceeding from fundamental categories and laws. As the appropriate foundation, this paper accepts the system-physical meta-ontology is being developed in this paper.

Findings

The genesis of system modeling is considered in the aspect of the evolution of language tools in the direction of objectification. A new conception of formalized knowledge is being put forward as the mathematical form of fixing time-invariant relations of the universe, reflecting regularity of the dynamics of natural or anthropogenic organization. Object knowledge is considered as a key component of the mathematical model, and the solving of system information problems with its use is characterized as “work of knowledge.” The establishment of the meta-ontological essence of modern mathematical modeling allows us to formulate its fundamental limitations.

Originality/value

The establishment of system-physical limitations of modern mathematical modeling outlines the boundaries from which it is necessary to proceed in the development of future paradigms of cognition of the surrounding world, which presuppose convergence, synthesis of causal (physicalism) and target (elevationism) determination.



中文翻译:

系统的数学建模、其性质和适用性限制

目的

本文的目的是在对象语义方法的框架内建立系统数学建模的性质。

设计/方法/方法

对象语义方法的初始方法论立场是从基本范畴和规律出发构建信息学概念的原则。作为适当的基础,本文接受了本文正在开发的系统物理元本体。

发现

系统建模的起源是从语言工具向对象化方向演化的角度考虑的。形式化知识的新概念正在被提出,作为确定宇宙时不变关系的数学形式,反映自然或人为组织动力学的规律性。对象知识被认为是数学模型的关键组成部分,利用它解决系统信息问题被称为“知识工作”。现代数学建模元本体论本质的建立使我们能够阐明其基本局限性。

原创性/价值

现代数学建模的系统物理局限性的建立勾勒出边界,从这些边界出发,发展未来对周围世界的认知范式是必要的,这些范式的前提是收敛、因果(物理主义)和目标(高程主义)确定的综合.

更新日期:2020-12-14
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