INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - volume 15,issue 8, August 2026

Pages: 44-47

Date of Publication: 12-Aug-2026

Print Article   Download XML  Download PDF

“NONSTANDARD MODEL AND ITS AXIOMATIC REPRESENTATION”

Author:  BABAN KUMAR and Dr. Mukund Kumar Singh

Category: Engineering, Science and Mathematics

Abstract:

Our main aim is to extend ZFC by replacing the regularity axiom to overcome the hurdle that every nonstandard theory has to deal with Hrback paradox. A. Robinson and E. Zakon initiated super structure approach to Nonstandard analyses. we show here that the Harback paradox may be dated in the universes of nonstandard set theory unlimited. The axiomatic theory *ZFC is an extension of the traditional framework of set-theoretic strucre.

Full Text:

Our main aim is to extend ZFC by replacing the regularity axiom to overcome the hurdle that every nonstandard theory has to deal with Hrback paradox. A. Robinson and E. Zakon initiated super structure approach to Nonstandard analyses. we show here that the Harback paradox may be dated in the universes of nonstandard set theory unlimited. The axiomatic theory *ZFC is an extension of the traditional framework of set-theoretic strucre.