The Archimedean property is a key property of these numbers as they are an ordered field. These can be constructed using Cauchy sequences or Dedekind cuts. The fact that they are uncountable can be demonstrated using Cantor's diagonal argument. They can be divided into the rational numbers and the irrational numbers. They can be written as decimal representations with an i
The Archimedean property is a key property of these numbers as they are an ordered field. These can be constructed using Cauchy sequences or Dedekind cuts. The fact that they are uncountable can be demonstrated using Cantor's diagonal argument. They can be divided into the rational numbers and the irrational numbers. They can be written as decimal representations with an infinite sequence of digits after the decimal point. For 10 points, name these numbers, the set of which is represented by a capital R.
The Archimedean property is a key property of these numbers as they are an ordered field.
{real} numbers