Sara Olsson: Från positiva heltal till reella tal​

Abstract: In this essay, we study the Dedekind cut, which is a way to construct the real numbers based on the rational. We begin, however, by discussing the positive integers and their numeracy and order laws and then we construct the rational numbers. At the end of this paper, we give a proof set of upper limits, farmed taken as an axiom of fundamental analysis courses.