Let $\theta(x, y, z)$ be the statement “x+y=z” and let there be two quantification given as
where x, y, z are real numbers, then which one of the following is correct?
D) I is false and II is false
I) it means for each and every x and y there exists z. which is False according to the equation x+y=z
II) it means there exists a z for all x and all y , which is also False.
Because here for each x and each y there exists a single z