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Research Article Open access CC BY 4.0

Set Theory INC# Based on Intuitionistic Logic with Restricted Modus Ponens Rule (Part. I)

Jaykov Foukzon

Journal of Advances in Mathematics and Computer Science · pp. 73–88 · Published 31 Mar 2021

10.9734/jamcs/2021/v36i230339

Abstract

In this article Russell’s paradox and Cantor’s paradox resolved successfully using intuitionistic logic with restricted modus ponens rule.

Intuitionistic logic Russell's paradox Cantor's paradox

Cited by 23

Model λ(φ 2n )4, n ≥ 2 quantum field theory: A nonstandard approach based on nonstandard pointwise-defined quantum fields

Jaykov Foukzon · Journal of Physics: Conference Series · 2024

Set Theory NC_{∞}^{} Based on Bivalent Infinitary Logic with Restricted Modus Ponens Rule.Basic Real Analysis on External Non-Archimedean Field ℝ_{c}^{}. Basic Complecs Analysis on External Field ℂ_{c}^{}=ℝ_{c}^{}[i].

Jaykov Foukzon · SSRN Electronic Journal · 2021

Model P(φ)_4 Quantum Field Theory. A Nonstandard Approach Based on Nonstandard Pointwise-Defined Quantum Fields

Jaykov Foukzon · 2022

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