A Formal Deductive Inference of the Law of Inertia in a Logically Formalized Axiomatic Epistemology System Sigma from the Assumption of Knowledge A-Priori-Ness

• 作者: Vladimir O. Lobovikov
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Relative-Space Law-of-Inertia Formal-Inference A-Priori-Knowledge Formal-Axiomatic-Epistemology-Theory-Sigma
• 年，卷（期）: 2021,（3）
• 页码范围: 441-467
• 页数: 27页
• 分类号: O17

摘要

The <i>general purpose of the research</i>—systematical clarifying and explicating the too vague proper philosophical concepts of space, void, matter, motion, inertia, for making a logical harmony between them and the corresponding notions of proper physics. The <i>special purpose of the research</i>—invention (construction) of a <i>formal inference of the well-known Newton’s first law of mechanics</i> within a logically formalized axiomatic epistemology system from a set of precisely defined presumptions. For realizing this aim <i>the following work has been done</i>: a two-valued algebraic system of metaphysics as formal axiology has been applied to philosophical epistemology and philosophy of nature;a formal axiomatic theory called Sigma has been applied to physics for realizing the above-indicated special purpose of the research. Thus, constructing a discrete mathematical model of relationship between universal epistemology and philosophy of physics has been done. <i>Research results</i>: The main hitherto not published significantly new nontrivial scientific result of applied investigations presented in this article is a <i>formal inference of the well-known Newton’s first law of mechanics</i> within the formal axiomatic epistemology system Sigma from conjunction of the <i>formal-axiological analog</i> of the proper-law-of-mechanics (which <i>analog</i> is the <i>formal-axiological law</i> of two-valued algebra of metaphysics) and the assumption of a-priori-ness of knowledge. For obtaining this main research result, a set of accessory nontrivial novelties has been used, for instance;a precise algorithmic definition is given for the notion “<i>law of metaphysics</i>” in the algebraic system of metaphysics as formal axiology;a <i>formal-axiological equivalence</i> in the algebraic system is defined precisely. Precise tabular definitions are given for relevant evaluation-functions determined by evaluation-arguments, for example;“movement of (what, whom) <i>x</i>”;“speed of <i>x</i>”;“vecto