Which of the following statements are logically equivalent?
A. No S is P

B. No P is S

C. All S are non-P

D. All non-P are non-S

E. No S is non-P

Choose the correct answer from the options given below:

Correct option is B

Statements A (No S is P), B (No P is S), and C (All S are non-P) are logically equivalent.
· A (No S is P) and B (No P is S) are converses and thus logically equivalent; if no S is P, then no P is S.
· C (All S are non-P) expresses the same idea as A, using the term "non-P" to indicate the absence of P in S.
· Statement D (All non-P are non-S) is a contrapositive, but it doesn't directly fit as logically equivalent to the other three.
Information Booster: 1. Logically equivalent statements maintain the same truth value in all conditions.
2. A (No S is P) is the standard form of a universal negative proposition.
3. B (No P is S) is the converse of A, making them logically equivalent.
4. C (All S are non-P) rephrases A with a different structure but holds the same meaning.
5. D (All non-P are non-S) is the contrapositive but does not strictly form an equivalent with all three.