Open AccessABSTRACT 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.