Which of the following statements are logically contradictory to each other?

A. All philosophers are industrialists.

B. Some philosophers are not industrialists.

C. No philosophers are industrialists.

D. No industrialists are philosophers.

Choose the most appropriate answer from the options given below:

The correct answer is A and B only.
Important PointsStatement A asserts

• that all philosophers are industrialists, implying a complete overlap or inclusion of philosophers within the group of industrialists.

Statement B, on the other hand,

• suggests that there are philosophers who are not industrialists, allowing for the possibility of philosophers having a different occupation or profession.

These two statements present conflicting views regarding the relationship between philosophers and industrialists, making them logically contradictory to each other.

• The contradiction arises from the conflicting claims about the relationship between philosophers and industrialists.
• Statement A asserts a complete overlap, while statement B allows for the existence of philosophers who are not industrialists.
• Both statements cannot be simultaneously true because if all philosophers were industrialists (statement A), it would contradict the existence of philosophers who are not industrialists (statement B).