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

Foukzon, Jaykov (2021) 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. Journal of Advances in Mathematics and Computer Science, 36 (8). pp. 70-119. ISSN 2456-9968

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Abstract

In this paper intuitionistic set theory INC#∞# in infinitary set theoretical language is considered. External induction principle in nonstandard intuitionistic arithmetic were derived. Non trivial application in number theory is considered.The Goldbach-Euler theorem is obtained without any references to Catalan conjecture. Main results are: (i) number ee is transcendental; (ii) the both numbers e + π and e − π are irrational.

Item Type: Article
Subjects: Afro Asian Library > Mathematical Science
Depositing User: Unnamed user with email support@afroasianlibrary.com
Date Deposited: 27 Feb 2023 09:53
Last Modified: 14 Jun 2024 11:30
URI: http://classical.academiceprints.com/id/eprint/75

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