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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

Set Theory INC# ∞# Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule (Part.II) Hyper Inductive Definitions

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Set Theory INC# ∞# Based on Innitary Intuitionistic Logic with Restricted Modus Ponens Rule. Hyper Inductive Denitions. Application in Transcendental Number Theory. Generalized Lindemann-Weierstrass Theorem

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Internal Set Theory IST# Based on Hyper Infinitary Logic with Restricted Modus Ponens Rule: Nonconservative Extension of the Model Theoretical NSA

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The Solution of the Invariant Subspace Problem in Complex Hilbert Space: External non-Archimedean field *Rc by Cauchy Completion of the internal Non-Archimedean field *R (Part I)

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The Solution of the Invariant Subspace Problem. Complex Hilbert Space. External Countable Dimensional Linear spaces Over Field \(^*\mathbb{R}_c^\#\). Part II.

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J. Foukzon · 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES · 2023

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Internal Set Theory IST #Based on Gyper Infinitary Logic With Restricted Modus Ponens Rule

J. Foukzon · Social Science Research Network · 2022

Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule . Hyper Inductive Definitions . Application in Transcendental Number Theory . Generalized Lindemann-Weierstrass Theorem

J. Foukzon · 2021

Set Theory INC # ∞ # Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule. Part III. Hyper Inductive Definitions. Application in Transcendental Number theory. Generalized Lindemann-Weierstrass theorem.

J. Foukzon · Social Science Research Network · 2021

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