Open AccessAxioms of real numbers, and the beginning teaching of the analysis
Author(s) -
Gintaras Puriuškis
Publication year - 2014
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2014.22
Subject(s) - correctness , axiom , real analysis , real number , set (abstract data type) , axiomatic system , computer science , calculus (dental) , mathematics , algebra over a field , discrete mathematics , mathematical economics , algorithm , pure mathematics , programming language , medicine , geometry , dentistry
This paper provides an overview of the definitions of real numbers. We pose the axiomatic definition of correctness question. Provided examples of sets that are consistent with some definitions of real numbers, but not in with us usual set of real numbers. Attention is drawn to the mathematical analysis of teaching beginning and claims proof of clearance.