Set Theory and Logic


Refutation of the ef-Axiom © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III

The EF-axiom describes the Efremovifč proximity δ by V.A. Efremovič from 1934 and published in Russian in 1951. We interpret the operator δ to mean "nearby" or "in proximity". The size of an antecedent or consequent is not stated for the operator, so we determine that the operator applies to unrelated literals as as ((A∈ B) Nor (B∈ A)). The proof result is for 256-values because four theorems are evaluated as variables. We find the EF-axiom is not tautologous. The implications to topology are legion.

Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved.

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[v1] 2018-02-22 14:00:52

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