Set Theory and Logic

    

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

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.

Comments: Journal of Advances in Mathematics and Computer Science, Page 90-112 DOI: 10.9734/jamcs/2021/v36i430359 Published: 11 June 2021

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Submission history

[v1] 2021-05-08 08:00:29
[v2] 2021-06-04 05:04:26

Unique-IP document downloads: 423 times

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