ABSTRACT REAL NUMBERS | Zendy

Soeparna Darmawijaya | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

ABSTRACT REAL NUMBERS

Author(s) -

Soeparna Darmawijaya

Publication year - 2019

Publication title -

jurnal matematika thales

Language(s) - English

Resource type - Journals

ISSN - 2715-1891

DOI - 10.22146/jmt.40707

Subject(s) - countable set , real number , field (mathematics) , rational number , ordered field , mathematics , set (abstract data type) , abstraction , discrete mathematics , pure mathematics , computer science , programming language , philosophy , epistemology

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research