A Surprising Analogy between Self-Contradiction in Algebra of Formal Logic and Self-Termination in Algebra of Formal Axiology (Explicating Definitions of Basic Notions of Algebraic System of Metaphysics as Formal Axiology).
Year: 2025
Type: article
Abstract: The paper aims to reveal an analogy between the algebraic system of formal logic and the algebraic system of formal axiology. Our aim is to correct some previously published formulations of the mentioned system and clarify interconnections between similar but different notions of “formal-logical-contradiction” and “formal-axiological-contradiction”. Corrected definitions of several basic notions are given; a fundamental analogy is established between the algebraic system of formal logic and the algebraic system of metaphysics as formal axiology. Special attention is paid to an unexpected analogy between the role of self-contradiction in the algebra of formal logic and the role of self-termination (suicide) in the algebra of formal axiology. “Self-annihilation in response to what is unacceptable (from the suicide viewpoint)” is a formal-axiological analogue of “the formal-logical proof by reducing the contrary to absurdity”.
Source: Siberian Journal of Philosophy
Author: V. O. Lobovikov
Institution: Ural Branch of the Russian Academy of Sciences
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414156903