Is there any technical, mathematical or logical, terminology for a set of propositions, all of which cannot be True at the same time.

Question

As the question states, what is the technical term (if any) for a set of propositions which cannot all be true at the same time.

That is to say,

If there is a set,
$A${x₁, x₂, x₃, ... , x_n}
for which the statement,
$x$ is true $\forall x\in A$.
is necessarily a contradiction,

What is the technical term (if any) for such a set.