Definition:Positive Cut/Strictly Positive

Definition
Let $\alpha$ be a cut.

Let $0^*$ be the rational cut associated with the (rational) number $0$. Let $\alpha > 0^*$.

Then $\alpha$ can be referred to as a strictly positive cut.

Also known as
What defines as a strictly positive cut is referred to by some sources as a positive cut.

What refer to as a positive cut, such sources call a non-negative cut

Also see

 * Definition:Positive Cut


 * Definition:Negative Cut
 * Definition:Strictly Negative Cut