Which of the following two statements cannot both be true but can both be false? Choose the correct answer from the options given below.

Statements 1 and 4 are contraries, the one pair that cannot both be true yet can both be false.

Statement 1 is the A form (All S are P) and Statement 4 is the E form (No S are P).

They share the same subject and predicate but assert universal agreement versus universal denial.

Both cannot hold together, since all cannot be P while at the same time none is P.

Yet both fail together when the real case is that only some are P and some are not.

Mutual exclusion without joint falsity is the defining mark of contrariety in the square of opposition.