ABSTRACT REAL NUMBERS

Soeparna Darmawijaya

doi:10.22146/jmt.40707

ABSTRACT REAL NUMBERS

https://doi.org/10.22146/jmt.40707

Soeparna Darmawijaya^(1*)

(1) UGM
(*) Corresponding Author

Abstract

In this paper we represent a result of our study in field of analysis , that is, an abstraction of the system of real numbers. We start by defining a set of positive elements in a countable infinite (denumerable) field and, hence, we obtain a linearly ordered field which we call a field of rational elements or a rational field. After that we may introduce irrationals elements in our rational field. And, at last we have a system of real abstract numbers.

Keywords

abstraction of the system of real numbers; linearly ordered field; set of positive elements; a countable infinite; rational field; real abstract numbers

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References

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DOI: https://doi.org/10.22146/jmt.40707