Question 1
Which statement is the Archimedean property for the real numbers?
Question 2
Which statement is equivalent to the Archimedean property?
Question 3
What does the Archimedean property imply about the natural numbers viewed as a subset of $\mathbb{R}$?
Question 4
If $a>0$, which statement follows from the Archimedean property?
Question 5
Which statement describes an infinitesimal element that cannot exist in $\mathbb{R}$ because of the Archimedean property?
