2005Journal of Beijing Union UniversityRequires access

Fundamentals of Mutually-inversistic Logic

Yuxin Wang

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Abstract

The mutually-inversistic logic is a new logic system. Starting with the analysis of components that compose a proposition, it proves that a proposition is made up of terms. There is a hierarchy in different propositions. The higher of propositions in hierarchy pyramid consist of the lower. In other words, the logical connection proposition is composed of empirical mathematical connection propositions and the connective. The empirical mathematical connection proposition is composed of fact propositions and the connective while the fact proposition is composed of terms. The innovation of the mutually-inversistic logic is the methodology of inductive composition and decomposition which integrates the logic induction and deduction. The significance of the mutually-inversistic logic is more than that in theory.

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The mutually-inversistic logic is a new logic system. Starting with the analysis of components that compose a proposition, it proves that a proposition is made up of terms. There is a hierarchy in different propositions. The higher of propositions in hierarchy pyramid consist of the lower. In other words, the logical connection proposition is composed of empirical mathematical connection propositions and the connective. The empirical mathematical connection proposition is composed of fact propositions and the connective while the fact proposition is composed of terms. The innovation of the mutually-inversistic logic is the methodology of inductive composition and decomposition which integrates the logic induction and deduction. The significance of the mutually-inversistic logic is more than that in theory.

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Available abstract

The mutually-inversistic logic is a new logic system. Starting with the analysis of components that compose a proposition, it proves that a proposition is made up of terms. There is a hierarchy in different propositions. The higher of propositions in hierarchy pyramid consist of the lower. In other words, the logical connection proposition is composed of empirical mathematical connection propositions and the connective. The empirical mathematical connection proposition is composed of fact propositions and the connective while the fact proposition is composed of terms. The innovation of the mutually-inversistic logic is the methodology of inductive composition and decomposition which integrates the logic induction and deduction. The significance of the mutually-inversistic logic is more than that in theory.

Key concepts: Proposition, Connection (principal bundle), Hierarchy, Mathematics, Computer science, Theoretical computer science, Epistemology, Philosophy

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