Occurence of contradictions in Zermelo-Fraenkel theory under extension of base language by recursion functions

It is shown that the extension of base language in Zermelo-Fraenkel theory, which allows a relations on recursion function of natural argument, may lead in Set Theory to contradictive constructions on arithmetic level.

Bibliographic Details
Main Author: A. V. Koganov
Format: Article
Language:Russian
Published: Institute of Computer Science 2009-12-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/kim4/crm09403.pdf