Set Theory and Logic

    

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

Authors: Jaykov Foukzon

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 e^{e}is transcendental; (ii) the both numbers e+pi and e-pi are irrational.

Comments: 57 Pages.

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Submission history

[v1] 2021-08-14 10:24:31
[v2] 2021-08-24 01:34:07
[v3] 2021-09-22 12:35:44

Unique-IP document downloads: 508 times

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