Definition:Negative Cut/Strictly Negative

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 negative cut.

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

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

Also see

 * Definition:Negative Cut


 * Definition:Positive Cut
 * Definition:Strictly Positive Cut